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Double-precision floating-point format (sometimes called FP64 or float64) is a floating-point number format, usually occupying 64 bits in computer memory; it represents a wide range of numeric values by using a floating radix point. Double precision may be chosen when the range or precision of single precision would be insufficient.
A common software technique to implement nearly quadruple precision using pairs of double-precision values is sometimes called double-double arithmetic. [4] [5] [6] Using pairs of IEEE double-precision values with 53-bit significands, double-double arithmetic provides operations on numbers with significands of at least [4] 2 × 53 = 106 bits ...
The hyphen is used by nearly all programmers writing COBOL (1959), Forth (1970), and Lisp (1958); it is also common in Unix for commands and packages, and is used in CSS. [5] This convention has no standard name, though it may be referred to as lisp-case or COBOL-CASE (compare Pascal case ), kebab-case , brochette-case , or other variants.
FLT_MANT_DIG, DBL_MANT_DIG, LDBL_MANT_DIG – number of FLT_RADIX-base digits in the floating-point significand for types float, double, long double, respectively FLT_MIN_EXP , DBL_MIN_EXP , LDBL_MIN_EXP – minimum negative integer such that FLT_RADIX raised to a power one less than that number is a normalized float, double, long double ...
[1]: 22 [2]: 10 For example, in a floating-point arithmetic with five base-ten digits, the sum 12.345 + 1.0001 = 13.3451 might be rounded to 13.345. The term floating point refers to the fact that the number's radix point can "float" anywhere to the left, right, or between the significant digits of the number.
The double hyphen is used for several different purposes throughout the world: Some typefaces, such as Fraktur faces, use the double hyphen as a glyphic variant of the single hyphen. (With Fraktur faces, such a double hyphen is usually oblique.) It may be also used for artistic or commercial purposes to achieve a distinctive visual effect.
An exception is Microsoft Visual C++ for x86, which makes long double a synonym for double. [2] The Intel C++ compiler on Microsoft Windows supports extended precision, but requires the /Qlong‑double switch for long double to correspond to the hardware's extended precision format. [3] Compilers may also use long double for the IEEE 754 ...
Here we start with 0 in single precision (binary32) and repeatedly add 1 until the operation does not change the value. Since the significand for a single-precision number contains 24 bits, the first integer that is not exactly representable is 2 24 +1, and this value rounds to 2 24 in round to nearest, ties to even.