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A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...
Conversely, precision can be lost when converting representations from integer to floating-point, since a floating-point type may be unable to exactly represent all possible values of some integer type. For example, float might be an IEEE 754 single precision type, which cannot represent the integer 16777217 exactly, while a 32-bit integer type ...
structures (including e.g. booleans, numbers, strings, and sets) and enumerations (including e.g. optionals) functions, closures, classes Python [8] all types JavaScript [9] all non-objects, including booleans, floating-point numbers, and strings, among others: all objects, including functions and arrays, among others OCaml [10] [11]
JavaScript: all numbers are double-precision floating-point except the new BigInt: MATLAB: Builtin integers saturate. Fixed-point integers configurable to wrap or saturate Python 2 — convert to long type (bigint) Seed7 — raise OVERFLOW_ERROR [11] Scheme — convert to bigNum Simulink: configurable to wrap or saturate Smalltalk — convert ...
Like the binary floating-point formats, the number is divided into a sign, an exponent, and a significand. Unlike binary floating-point, numbers are not necessarily normalized; values with few significant digits have multiple possible representations: 1×10 2 =0.1×10 3 =0.01×10 4, etc. When the significand is zero, the exponent can be any ...
A decimal data type could be implemented as either a floating-point number or as a fixed-point number. In the fixed-point case, the denominator would be set to a fixed power of ten. In the floating-point case, a variable exponent would represent the power of ten to which the mantissa of the number is multiplied. Languages that support a ...
An array (also called vector, list, or sequence) stores a number of elements and provides random access to individual elements. The elements of an array are typically (but not in all contexts) required to be of the same type. Arrays may be fixed-length or expandable.
Fixed-point number with a variety of precisions and a programmer-selected scale. Complex number in C99, Fortran, Common Lisp, Python, D, Go. This is two floating-point numbers, a real part and an imaginary part. Rational number in Common Lisp; Arbitrary-precision Integer type in Common Lisp, Erlang, Haskell