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tutorial/floatingpoint.po

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@@ -315,6 +315,8 @@ msgid ""
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"Fortran, and many others) often won't display the exact decimal number you "
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"expect."
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msgstr ""
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":dfn:`表示性错误` 是指某些(其实是大多数)十进制小数无法以二进制(以 2 为基数的计数制)精确表示这一事实造成的错误。 这就是为什么 "
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"Python(或者 Perl、C、C++、Java、Fortran 以及许多其他语言)经常不会显示你所期待的精确十进制数值的主要原因。"
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#: ../../tutorial/floatingpoint.rst:220
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msgid ""
@@ -325,58 +327,64 @@ msgid ""
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" to convert 0.1 to the closest fraction it can of the form *J*/2**\\ *N* "
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"where *J* is an integer containing exactly 53 bits. Rewriting ::"
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msgstr ""
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"为什么会这样? 1/10 是无法用二进制小数精确表示的。 目前(2000年11月)几乎所有使用 IEEE-754 "
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"浮点运算标准的机器以及几乎所有系统平台都会将 Python 浮点数映射为 IEEE-754 “双精度类型”。 754 双精度类型包含 53 "
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"位精度,因此在输入时,计算会尽量将 0.1 转换为以 *J*/2**\\ *N* 形式所能表示的最接近分数,其中 *J* 为恰好包含 53 "
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"个二进制位的整数。 重新将 ::"
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#: ../../tutorial/floatingpoint.rst:229
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msgid "as ::"
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msgstr ""
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msgstr "写为 ::"
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#: ../../tutorial/floatingpoint.rst:233
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msgid ""
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"and recalling that *J* has exactly 53 bits (is ``>= 2**52`` but ``< "
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"2**53``), the best value for *N* is 56::"
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msgstr ""
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msgstr "并且由于 *J* 恰好有 53 位 (即 ``>= 2**52`` 但 ``< 2**53``),*N* 的最佳值为 56::"
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#: ../../tutorial/floatingpoint.rst:239
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msgid ""
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"That is, 56 is the only value for *N* that leaves *J* with exactly 53 bits."
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" The best possible value for *J* is then that quotient rounded::"
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msgstr ""
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msgstr "也就是说,56 是唯一的 *N* 值能令 *J* 恰好有 53 位。 这样 *J* 的最佳可能值就是经过舍入的商::"
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#: ../../tutorial/floatingpoint.rst:246
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msgid ""
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"Since the remainder is more than half of 10, the best approximation is "
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"obtained by rounding up::"
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msgstr ""
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msgstr "由于余数超过 10 的一半,最佳近似值可通过四舍五入获得::"
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#: ../../tutorial/floatingpoint.rst:252
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msgid ""
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"Therefore the best possible approximation to 1/10 in 754 double precision "
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"is::"
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msgstr ""
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msgstr "这样在 754 双精度下 1/10 的最佳近似值为::"
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#: ../../tutorial/floatingpoint.rst:256
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msgid ""
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"Dividing both the numerator and denominator by two reduces the fraction to::"
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msgstr ""
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msgstr "分子和分母都除以二则结果小数为::"
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#: ../../tutorial/floatingpoint.rst:260
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msgid ""
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"Note that since we rounded up, this is actually a little bit larger than "
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"1/10; if we had not rounded up, the quotient would have been a little bit "
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"smaller than 1/10. But in no case can it be *exactly* 1/10!"
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msgstr ""
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"请注意由于我们做了向上舍入,这个结果实际上略大于 1/10;如果我们没有向上舍入,则商将会略小于 1/10。 但无论如何它都不会是 *精确的* "
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"1/10!"
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#: ../../tutorial/floatingpoint.rst:264
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msgid ""
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"So the computer never \"sees\" 1/10: what it sees is the exact fraction "
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"given above, the best 754 double approximation it can get::"
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msgstr ""
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msgstr "因此计算永远不会“看到”1/10:它实际看到的就是上面所给出的小数,它所能达到的最佳 754 双精度近似值::"
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#: ../../tutorial/floatingpoint.rst:270
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msgid ""
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"If we multiply that fraction by 10\\*\\*55, we can see the value out to 55 "
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"decimal digits::"
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msgstr ""
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msgstr "如果我们将该小数乘以 10\\*\\*55,我们可以看到该值输出为 55 位的十进制数::"
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#: ../../tutorial/floatingpoint.rst:276
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msgid ""
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" displaying the full decimal value, many languages (including older versions"
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" of Python), round the result to 17 significant digits::"
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msgstr ""
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"这意味着存储在计算机中的确切数值等于十进制数值 "
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"0.1000000000000000055511151231257827021181583404541015625。 许多语言(包括较旧版本的 "
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"Python)都不会显示这个完整的十进制数值,而是将结果舍入为 17 位有效数字::"
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#: ../../tutorial/floatingpoint.rst:284
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msgid ""
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"The :mod:`fractions` and :mod:`decimal` modules make these calculations "
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"easy::"
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msgstr ""
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msgstr ":mod:`fractions` 和 :mod:`decimal` 模块可令进行此类计算更加容易::"

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