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Make lookup tables external linkage
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@ -252,55 +252,8 @@ struct adjusted_mantissa {
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// Bias so we can get the real exponent with an invalid adjusted_mantissa.
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// Bias so we can get the real exponent with an invalid adjusted_mantissa.
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constexpr static int32_t invalid_am_bias = -0x8000;
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constexpr static int32_t invalid_am_bias = -0x8000;
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constexpr static double powers_of_ten_double[] = {
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// used for binary_format<T>::max_mantissa
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1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11,
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1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};
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constexpr static float powers_of_ten_float[] = {1e0f, 1e1f, 1e2f, 1e3f, 1e4f, 1e5f,
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1e6f, 1e7f, 1e8f, 1e9f, 1e10f};
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// used for max_mantissa_double and max_mantissa_float
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constexpr uint64_t constant_55555 = 5 * 5 * 5 * 5 * 5;
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constexpr uint64_t constant_55555 = 5 * 5 * 5 * 5 * 5;
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// Largest integer value v so that (5**index * v) <= 1<<53.
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// 0x10000000000000 == 1 << 53
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constexpr static uint64_t max_mantissa_double[] = {
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0x10000000000000,
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0x10000000000000 / 5,
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0x10000000000000 / (5 * 5),
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0x10000000000000 / (5 * 5 * 5),
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0x10000000000000 / (5 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555),
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0x10000000000000 / (constant_55555 * 5),
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0x10000000000000 / (constant_55555 * 5 * 5),
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0x10000000000000 / (constant_55555 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * 5 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555),
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0x10000000000000 / (constant_55555 * constant_55555 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * constant_55555),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * constant_55555 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * constant_55555 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5 * 5)};
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// Largest integer value v so that (5**index * v) <= 1<<24.
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// 0x1000000 == 1<<24
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constexpr static uint64_t max_mantissa_float[] = {
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0x1000000,
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0x1000000 / 5,
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0x1000000 / (5 * 5),
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0x1000000 / (5 * 5 * 5),
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0x1000000 / (5 * 5 * 5 * 5),
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0x1000000 / (constant_55555),
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0x1000000 / (constant_55555 * 5),
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0x1000000 / (constant_55555 * 5 * 5),
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0x1000000 / (constant_55555 * 5 * 5 * 5),
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0x1000000 / (constant_55555 * 5 * 5 * 5 * 5),
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0x1000000 / (constant_55555 * constant_55555),
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0x1000000 / (constant_55555 * constant_55555 * 5)};
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template <typename T> struct binary_format {
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template <typename T> struct binary_format {
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using equiv_uint = typename std::conditional<sizeof(T) == 4, uint32_t, uint64_t>::type;
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using equiv_uint = typename std::conditional<sizeof(T) == 4, uint32_t, uint64_t>::type;
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@ -322,6 +275,9 @@ template <typename T> struct binary_format {
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static inline constexpr equiv_uint exponent_mask();
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static inline constexpr equiv_uint exponent_mask();
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static inline constexpr equiv_uint mantissa_mask();
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static inline constexpr equiv_uint mantissa_mask();
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static inline constexpr equiv_uint hidden_bit_mask();
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static inline constexpr equiv_uint hidden_bit_mask();
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static const T powers_of_ten[];
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static const uint64_t max_mantissa[];
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};
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};
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template <> inline constexpr int binary_format<double>::min_exponent_fast_path() {
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template <> inline constexpr int binary_format<double>::min_exponent_fast_path() {
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@ -386,6 +342,52 @@ template <> inline constexpr int binary_format<double>::max_exponent_fast_path()
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template <> inline constexpr int binary_format<float>::max_exponent_fast_path() {
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template <> inline constexpr int binary_format<float>::max_exponent_fast_path() {
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return 10;
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return 10;
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}
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}
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// Largest integer value v so that (5**index * v) <= 1<<53.
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// 0x10000000000000 == 1 << 53
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template <>
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constexpr uint64_t binary_format<double>::max_mantissa[] = {
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0x10000000000000,
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0x10000000000000 / 5,
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0x10000000000000 / (5 * 5),
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0x10000000000000 / (5 * 5 * 5),
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0x10000000000000 / (5 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555),
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0x10000000000000 / (constant_55555 * 5),
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0x10000000000000 / (constant_55555 * 5 * 5),
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0x10000000000000 / (constant_55555 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * 5 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555),
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0x10000000000000 / (constant_55555 * constant_55555 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * constant_55555),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * constant_55555 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * constant_55555 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5),
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0x10000000000000 / (constant_55555 * constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5 * 5)};
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// Largest integer value v so that (5**index * v) <= 1<<24.
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// 0x1000000 == 1<<24
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template <>
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constexpr uint64_t binary_format<float>::max_mantissa[] = {
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0x1000000,
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0x1000000 / 5,
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0x1000000 / (5 * 5),
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0x1000000 / (5 * 5 * 5),
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0x1000000 / (5 * 5 * 5 * 5),
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0x1000000 / (constant_55555),
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0x1000000 / (constant_55555 * 5),
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0x1000000 / (constant_55555 * 5 * 5),
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0x1000000 / (constant_55555 * 5 * 5 * 5),
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0x1000000 / (constant_55555 * 5 * 5 * 5 * 5),
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0x1000000 / (constant_55555 * constant_55555),
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0x1000000 / (constant_55555 * constant_55555 * 5)};
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template <> inline constexpr uint64_t binary_format<double>::max_mantissa_fast_path() {
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template <> inline constexpr uint64_t binary_format<double>::max_mantissa_fast_path() {
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return uint64_t(2) << mantissa_explicit_bits();
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return uint64_t(2) << mantissa_explicit_bits();
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}
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}
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@ -393,7 +395,7 @@ template <> inline constexpr uint64_t binary_format<double>::max_mantissa_fast_p
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// caller is responsible to ensure that
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// caller is responsible to ensure that
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// power >= 0 && power <= 22
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// power >= 0 && power <= 22
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//
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//
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return max_mantissa_double[power];
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return max_mantissa[power];
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}
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}
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template <> inline constexpr uint64_t binary_format<float>::max_mantissa_fast_path() {
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template <> inline constexpr uint64_t binary_format<float>::max_mantissa_fast_path() {
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return uint64_t(2) << mantissa_explicit_bits();
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return uint64_t(2) << mantissa_explicit_bits();
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@ -402,17 +404,25 @@ template <> inline constexpr uint64_t binary_format<float>::max_mantissa_fast_pa
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// caller is responsible to ensure that
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// caller is responsible to ensure that
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// power >= 0 && power <= 10
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// power >= 0 && power <= 10
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//
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//
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return max_mantissa_float[power];
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return max_mantissa[power];
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}
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}
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template <>
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constexpr double binary_format<double>::powers_of_ten[] = {
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1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11,
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1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};
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template <>
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constexpr float binary_format<float>::powers_of_ten[] = {
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1e0f, 1e1f, 1e2f, 1e3f, 1e4f, 1e5f, 1e6f, 1e7f, 1e8f, 1e9f, 1e10f};
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template <>
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template <>
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inline constexpr double binary_format<double>::exact_power_of_ten(int64_t power) {
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inline constexpr double binary_format<double>::exact_power_of_ten(int64_t power) {
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return powers_of_ten_double[power];
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return powers_of_ten[power];
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}
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}
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template <>
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template <>
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inline constexpr float binary_format<float>::exact_power_of_ten(int64_t power) {
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inline constexpr float binary_format<float>::exact_power_of_ten(int64_t power) {
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return powers_of_ten[power];
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return powers_of_ten_float[power];
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}
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}
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