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主页 / dba / 问题 / 344772
Accepted
Sotis
Sotis
Asked: 2025-01-17 16:28:08 +0800 CST2025-01-17 16:28:08 +0800 CST 2025-01-17 16:28:08 +0800 CST

数据类型“numeric(p,s)”准确吗?

  • 772

我知道这是一种“精确”的数据类型,尽可能准确地表示数字,以便不会出现诸如或数据类型numeric之类的浮点错误。floatreal

但是呢numeric(p,s)?由于固定比例,它必须近似于一个数字,但它是否存在浮点不准确性,或者它是“安全的”?我找不到有关它的任何信息。也许这是显而易见的,但我想更好地理解这方面。

postgresql
  • 1 1 个回答
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1 个回答

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  1. Best Answer
    Laurenz Albe
    2025-01-17T16:39:36+08:002025-01-17T16:39:36+08:00

    numeric(p,s)是准确的。它是“二进制编码的十进制”,也就是说,数字按原样存储。请参阅中的定义src/backend/utils/adt/numeric.c:

    /* ----------
     * NumericVar is the format we use for arithmetic.  The digit-array part
     * is the same as the NumericData storage format, but the header is more
     * complex.
     *
     * The value represented by a NumericVar is determined by the sign, weight,
     * ndigits, and digits[] array.  If it is a "special" value (NaN or Inf)
     * then only the sign field matters; ndigits should be zero, and the weight
     * and dscale fields are ignored.
     *
     * Note: the first digit of a NumericVar's value is assumed to be multiplied
     * by NBASE ** weight.  Another way to say it is that there are weight+1
     * digits before the decimal point.  It is possible to have weight < 0.
     *
     * buf points at the physical start of the palloc'd digit buffer for the
     * NumericVar.  digits points at the first digit in actual use (the one
     * with the specified weight).  We normally leave an unused digit or two
     * (preset to zeroes) between buf and digits, so that there is room to store
     * a carry out of the top digit without reallocating space.  We just need to
     * decrement digits (and increment weight) to make room for the carry digit.
     * (There is no such extra space in a numeric value stored in the database,
     * only in a NumericVar in memory.)
     *
     * If buf is NULL then the digit buffer isn't actually palloc'd and should
     * not be freed --- see the constants below for an example.
     *
     * dscale, or display scale, is the nominal precision expressed as number
     * of digits after the decimal point (it must always be >= 0 at present).
     * dscale may be more than the number of physically stored fractional digits,
     * implying that we have suppressed storage of significant trailing zeroes.
     * It should never be less than the number of stored digits, since that would
     * imply hiding digits that are present.  NOTE that dscale is always expressed
     * in *decimal* digits, and so it may correspond to a fractional number of
     * base-NBASE digits --- divide by DEC_DIGITS to convert to NBASE digits.
     *
     * rscale, or result scale, is the target precision for a computation.
     * Like dscale it is expressed as number of *decimal* digits after the decimal
     * point, and is always >= 0 at present.
     * Note that rscale is not stored in variables --- it's figured on-the-fly
     * from the dscales of the inputs.
     *
     * While we consistently use "weight" to refer to the base-NBASE weight of
     * a numeric value, it is convenient in some scale-related calculations to
     * make use of the base-10 weight (ie, the approximate log10 of the value).
     * To avoid confusion, such a decimal-units weight is called a "dweight".
     *
     * NB: All the variable-level functions are written in a style that makes it
     * possible to give one and the same variable as argument and destination.
     * This is feasible because the digit buffer is separate from the variable.
     * ----------
     */
    typedef struct NumericVar
    {
        int         ndigits;        /* # of digits in digits[] - can be 0! */
        int         weight;         /* weight of first digit */
        int         sign;           /* NUMERIC_POS, _NEG, _NAN, _PINF, or _NINF */
        int         dscale;         /* display scale */
        NumericDigit *buf;          /* start of palloc'd space for digits[] */
        NumericDigit *digits;       /* base-NBASE digits */
    } NumericVar;
    
    • 3

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