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      std::numeric_limits::digits10

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      C++
       
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      staticconstint digits10
      		(até C++11)
      staticconstexprint digits10
      		(desde C++11)
      O valor de std::numeric_limits<T>::digits10 é o número de base-10 dígitos, que pode ser representado pela T tipo sem alteração, isto é, qualquer número com este número de dígitos decimais pode ser convertido para um valor de T tipo e de volta para a forma decimal, sem alteração devido ao arredondamento ou extravasamento. Para radix tipos-base, que é o valor de digits (digits-1 para tipos de ponto flutuante) multiplicado por log
      10      (radix)       e arredondado para baixo.
      Original:
      The value of std::numeric_limits<T>::digits10 is the number of base-10 digits that can be represented by the type T without change, that is, any number with this many decimal digits can be converted to a value of type T and back to decimal form, without change due to rounding or overflow. For base-radix types, it is the value of digits (digits-1 for floating-point types) multiplied by log
      10      (radix)       and rounded down.
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      [editar]Especializações padrão

      T
      valor de std::numeric_limits<T>::digits10
      Original:
      value of std::numeric_limits<T>::digits10
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      /* non-specialized */ ​0​
      bool​0​
      charstd::numeric_limits<char>::digits*std::log10(2)
      signedcharstd::numeric_limits<signedchar>::digits*std::log10(2)
      unsignedcharstd::numeric_limits<unsignedchar>::digits*std::log10(2)
      wchar_tstd::numeric_limits<wchar_t>::digits*std::log10(2)
      char16_tstd::numeric_limits<char16_t>::digits*std::log10(2)
      char32_tstd::numeric_limits<char32_t>::digits*std::log10(2)
      shortstd::numeric_limits<short>::digits*std::log10(2)
      unsignedshortstd::numeric_limits<signedshort>::digits*std::log10(2)
      intstd::numeric_limits<int>::digits*std::log10(2)
      unsignedintstd::numeric_limits<signedint>::digits*std::log10(2)
      longstd::numeric_limits<long>::digits*std::log10(2)
      unsignedlongstd::numeric_limits<unsignedlong>::digits*std::log10(2)
      longlongstd::numeric_limits<longlong>::digits*std::log10(2)
      unsignedlonglongstd::numeric_limits<unsignedlonglong>::digits*std::log10(2)
      floatFLT_DIG
      doubleDBL_DIG
      longdoubleLDBL_DIG

      [editar]Exemplo

      Um tipo binário de 8 bits pode representar qualquer número decimal de dois dígitos exatamente, mas três dígitos decimais 256.. 999 não pode ser representado. digits10 O valor para um tipo de 8 bits é 2 (8*std::log10(2) é 2,41)
      Original:
      An 8-bit binary type can represent any two-digit decimal number exactly, but 3-digit decimal numbers 256..999 cannot be represented. The value of digits10 for an 8-bit type is 2 (8*std::log10(2) is 2.41)
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      O padrão de 32 bits IEEE 754 tipo de ponto flutuante tem uma parte fracionária de 24 bits (23 bits por escrito, um implícito), o que pode sugerir que ele pode representar sete casas decimais dígitos (24*std::log10(2) é 7.22) , mas os erros de arredondamento relativos são não-uniforme e alguns valores de ponto flutuante, com 7 dígitos decimais não sobrevivem a conversão para 32-bit float e volta: o menor exemplo positivo é 8.589973e9, que se torna 8.589974e9 após a ida Esses erros de arredondamento não pode exceder. um pouco na representação, e digits10 é calculado como (24-1)*std::log10(2), que é 6,92. arredondamento para baixo resulta no valor 6.
      Original:
      The standard 32-bit IEEE 754 floating-point type has a 24 bit fractional part (23 bits written, one implied), which may suggest that it can represent 7 digit decimals (24*std::log10(2) is 7.22), but relative rounding errors are non-uniform and some floating-point values with 7 decimal digits do not survive conversion to 32-bit float and back: the smallest positive example is 8.589973e9, which becomes 8.589974e9 after the roundtrip. These rounding errors cannot exceed one bit in the representation, and digits10 is calculated as (24-1)*std::log10(2), which is 6.92. Rounding down results in the value 6.
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      [editar]Veja também

      [estática]
      a raiz ou base inteiro usado pela representação do tipo de dado
      Original:
      the radix or integer base used by the representation of the given type
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      (membro estático público constante)[edit]
      [estática]
      número de dígitos radix que podem ser representadas sem alterações
      Original:
      number of radix digits that can be represented without change
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      (membro estático público constante)[edit]
      [estática]
      mais um do que o menor poder negativo do radix que é um valor válido de ponto flutuante normalizado
      Original:
      one more than the smallest negative power of the radix that is a valid normalized floating-point value
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      (membro estático público constante)[edit]
      [estática]
      um a mais que o maior poder inteiro da raiz que é um valor válido de ponto flutuante finita
      Original:
      one more than the largest integer power of the radix that is a valid finite floating-point value
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      (membro estático público constante)[edit]
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