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Encoding method for variable-length integers
A variable-length integer is a variable-length encoded representation of an integer value using a sequence of bytes. The number of bytes that is needed
Variable-length_integer
Notation for expressing numbers
large integers, for example, the GNU Multiple Precision Arithmetic Library (GMP) uses bases 232 or 264—grouping binary digits by 32 or 64, the length of
Numeral_system
Lossless data compression software
following Python code implements functions to encode and decode a variable-length integer. def encode(num): if num >= 2**63: raise ValueError("num must not
XZ_Utils
Efficient variable-length integer encoding
LEB128 or Little Endian Base 128 is a variable-length code compression used to store arbitrarily large integers in a small number of bytes. LEB128 is
LEB128
Type of data structure
computer programming, a variable-length array (VLA), also called variable-sized or runtime-sized, is an array data structure whose length is determined at runtime
Variable-length_array
Set of codewords, none a prefix of another
(2003-04-03). "UTF-8 history". Shevchuk, Y. V. (2018), "Vbinary: variable length integer coding revisited" (PDF), Program Systems: Theory and Applications
Prefix_code
Encoding for Unicode domain names
through 9. It is not base-36 but a more complex scheme, generalized variable-length integers, which allows the numbers to be concatenated with nothing separating
Punycode
Mathematical optimization problem restricted to integers
program in which some or all of the variables are restricted to be integers. In many settings the term refers to integer linear programming (ILP), in which
Integer_programming
Base memory unit handled by a computer
point instruction can only address words while an integer arithmetic instruction can specify a field length of 1-64 bits, a byte size of 1-8 bits and an accumulator
Word_(computer_architecture)
Datum of integral data type
architecture, decimal integers may have fixed sizes (e.g., seven decimal digits plus a sign fit into a 32-bit word), or may be variable-length (up to some maximum
Integer_(computer_science)
Model that describes the programmable interface of a computer processor
instructions have variable length, typically integral multiples of a byte or a halfword. Some, such as the ARM with Thumb-extension have mixed variable encoding
Instruction_set_architecture
Named container for a particular type of data
value; or in simpler terms, a variable is a named container for a particular set of bits or type of data (like integer, float, string, etc...) or undefined
Variable (high-level programming language)
Variable_(high-level_programming_language)
Number in {..., –2, –1, 0, 1, 2, ...}
etc.). Variable-length representations of integers, such as bignums, can store any integer that fits in the computer's memory. Other integer data types
Integer
specifically, strings of arbitrary length and automatically managed. ^b This language represents a boolean as an integer where false is represented as a
Comparison of programming languages (basic instructions)
Comparison_of_programming_languages_(basic_instructions)
Cross platform serialization software library
string or integer properties) without parsing all data. Unlike Protocol Buffers, which uses variable-length integers, FlatBuffers encodes integers in their
FlatBuffers
Non-comparative lexicographical sorting algorithm
ba, c, d, e, f, g]. If lexicographic ordering is used to sort variable-length integers in base 10, then numbers from 1 to 10 would be output as [1, 10
Radix_sort
Calculations where numbers' precision is only limited by computer memory
size of the processor register, these implementations typically use variable-length arrays of digits. Arbitrary precision is used in applications where
Arbitrary-precision arithmetic
Arbitrary-precision_arithmetic
Mapping arbitrary data to fixed-size values
storage and retrieval application. The keys may be fixed-length, like an integer, or variable-length, like a name. In some cases, the key is the datum itself
Hash_function
Industrial standard for programmable logic controllers
– signed double integer (4 byte) LINT – signed long integer (8 byte) USINT – Unsigned short integer (1 byte) UINT – Unsigned integer (2 byte) UDINT –
IEC_61131-3
examples of integer-valued functions of a real variable, but on real numbers and, generally, on (non-disconnected) topological spaces integer-valued functions
Integer-valued_function
BASIC interpreter of the Apple I and original Apple II computers
characters), Integer BASIC was unusual in supporting any length variable name (e.g., SUM, GAMEPOINTS, PLAYER2). The only caveat was that variable names could
Integer_BASIC
Symbol representing a mathematical object
candidate exists or not. For example, one could represent two integers by the variables p and q and require that the value of the square of p is twice
Variable_(mathematics)
Attribute of data
the same type. Arrays may be fixed-length or expandable. Indices into an array are typically required to be integers (if not, one may stress this relaxation
Data_type
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000609 (Number of threshold functions of n or fewer variables)". The On-Line
1000_(number)
Variable representing a random phenomenon
A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which
Random_variable
Object which stores memory addresses in a computer program
representation is an integer. Other measures may also be taken (such as validation and bounds checking), to verify that the pointer variable contains a value
Pointer (computer programming)
Pointer_(computer_programming)
Form of text that defines C code
value it points to. In the following example, the integer variable b is set to the value of integer variable a, which is 10: int a = 10; int* p; p = &a; int
C_syntax
Sequence of characters, data type
Fixed-length strings of length n can be viewed as the integer locations in an n-dimensional hypercube with sides of length k−1. Variable-length strings
String_(computer_science)
2015 password-based key derivation function
actually Blake2b. Variable length items are prepended with their length as 32-bit little-endian integers. buffer ← parallelism ∥ tagLength ∥ memorySizeKB
Argon2
Non-cryptographic hash function
unsigned integer. As an example, consider the 64-bit FNV-1 hash: All variables, except for byte_of_data, are 64-bit unsigned integers. The variable, byte_of_data
Fowler–Noll–Vo_hash_function
Numerical analysis programming language
In this example, we see a structure x with elements a, b, and c, (an integer, an array, and a string, respectively): octave:1> x.a = 1; x.b = [1, 2;
GNU_Octave
1995 edition of the Fortran programming language standard
portable numerical software: Scalar variables corresponding to the five intrinsic types are specified as follows: INTEGER(KIND=2) :: i REAL(KIND=long) ::
Fortran_95_language_features
Universal coding
non-negative integers developed by Vladimir Levenshtein. The code of zero is "0"; to code a positive number: Initialize the step count variable C to 1. Write
Levenshtein_coding
expressed as a ratio of an integer to a non-zero integer. All integers are rational, but there are rational numbers that are not integers, such as −2/9. Real
List_of_types_of_numbers
Algorithm for computing greatest common divisors
geometric lengths (real numbers), but the algorithm was generalized in the 19th century to other types of numbers, such as Gaussian integers and polynomials
Euclidean_algorithm
Property of being an even or odd number
In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not. For
Parity_(mathematics)
Programming language
While the buffer variable could be used for inspecting the next character to be used (check for a digit before reading an integer), this leads to serious
Pascal_(programming_language)
C function to format and output text
the variable age in decimal format. printf("Your age is %d", age); The syntax for a format specifier is: %[parameter][flags][width][.precision][length]type
Printf
Comparison of two programming languages
variable name is used when calling (no need of address operator). function f(z: integer; var k: integer): integer; // function accepts two integers,
Comparison_of_Pascal_and_C
to the variables occurring in it. 2. In number theory, and more specifically in modular arithmetic, denotes the congruence modulo an integer. 3. May
Glossary of mathematical symbols
Glossary_of_mathematical_symbols
Mathematical proportionality to a square
function of a real variable) or discretely (for a sequence of real numbers, i.e., real-valued function of an integer or natural number variable). Examples of
Quadratic_growth
Exponentation in modular arithmetic
is the remainder c when an integer b (the base) is raised to the power e (the exponent), and divided by a positive integer m (the modulus); that is, c
Modular_exponentiation
Programming language by Hewlett-Packard
location of a variable dereferenced with the @. Thus INTEGER POINTER P:=@A declares a pointer whose value contains the address of the variable A, not the
Systems_Programming_Language
Fortran data structure
numeric variables using Hollerith constants. For example, the constant 3HABC specified a three-character string "ABC", identified by the initial integer representing
Hollerith_constant
Standart data serialization format
order; smaller data types still occupy four bytes each after encoding. Variable-length types such as string and opaque are padded to a total divisible by
External_Data_Representation
Version of the BASIC programming language for the Apple III computer
dollar sign, $, to the end of the name of the variable. Some dialects, including Business BASIC, added an integer type, normally stored as a 16-bit binary
Apple_Business_BASIC
Series in digital signal processing
functions of a discrete variable instead of a continuous variable. The result of the series is also a function of the discrete variable, i.e. a discrete sequence
Discrete_Fourier_series
Two raised to an integer power
number of the form 2n where n is an integer, that is, the result of exponentiation with the number 2 as the base and integer n as the exponent. In the fast-growing
Power_of_two
Lossless data compression method
and we can encode all values of r with b bits. The integer x treated by Golomb was the run length of a Bernoulli process, which has a geometric distribution
Golomb_coding
Use of functions that call themselves
recursion. An example is computing the factorial of an integer n, which is the product of all integers from 0 to n. For this problem, the definition 0! =
Recursion_(computer_science)
Programming language: compiled, structured, array language
declaring variables of type real x,y without an attribute list integer (kind = long), dimension (100) :: x ! declaring variable of type big integer array
F_(programming_language)
Control parameter used in programming languages
from standard input. The following C code reads a variable number of unformatted decimal integers from standard input and prints each of them out on
Scanf
Finite or infinite ordered list of elements
examples, or infinite, such as the sequence of positive even integers (2, 4, 6, 8, ...). The length of a finite sequence is defined as the number of elements
Sequence
Geospatial vector data format
header is fixed at 100 bytes in length and contains 17 fields; nine 4-byte (32-bit signed integer or int32) integer fields followed by eight 8-byte (double)
Shapefile
Branch of mathematics studying functions of a complex variable
functions of a complex variable, is the branch of mathematical analysis that studies complex-valued functions of one or more complex variables. It is used in
Complex_analysis
Decidable first-order theory of the natural numbers with addition
that integer constants are unbounded (but their number of bits in binary counts against input size). Also, Σ 2 {\displaystyle \Sigma _{2}} two variable PA
Presburger_arithmetic
Data having only values "true" or "false"
type). Boolean values still behave as integers, can be stored in integer variables, and used anywhere integers would be valid, including in indexing,
Boolean_data_type
Probability distribution
a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is f(x)=12πσ2exp(−(x−μ)22σ2)
Normal_distribution
Greatest integer less than or equal to square root
number theory, the integer square root (isqrt) of a non-negative integer n is the non-negative integer m which is the greatest integer less than or equal
Integer_square_root
Type of data structure
called Integer in which the variable really stores an integer, but by calling Integer * Integer the sum, instead of the product, of the integers might
C++_classes
Numeral system in which every non-negative integer can be represented in exactly one way
smallest nonnegative integer, representable in a bijective base-k numeral of length ℓ≥0, is min(ℓ)=kℓ−1k−1; the largest nonnegative integer, representable in
Bijective_numeration
Interpreter that enables users to enter and run programs in the BASIC language
silently overwrite the value intended as "LOSS". Integer BASIC was unusual in supporting any length variable name (e.g., SUM, GAMEPOINTS, PLAYER2), provided
BASIC_interpreter
Programming language
ExecuteStaticMethod(); The standard variable can be formed as fixed data such as a Boolean, Integer or Decimal and a variable length variable such as an ASCII string
TScript
Data type that allows for values that are one of multiple different data types
float and an integer, a union can hold only one at a time. A union can be pictured as a chunk of memory that is used to store variables of different data
Union_type
Variable that represents an argument to a function
In computer programming, a parameter, or formal argument, is a variable that represents an argument to a function call. A function's signature defines
Parameter (computer programming)
Parameter_(computer_programming)
Type of complex number
number is a number that is a root of a non-zero polynomial in one variable with integer (or, equivalently, rational) coefficients. For example, the golden
Algebraic_number
Universal code encoding positive integers
encoding of the new N. To decode an Elias omega-encoded positive integer: Start with a variable N, set to a value of 1. If the next bit is a "0" then stop.
Elias_omega_coding
Technique to compress data
Minimum-Redundancy Codes". The output from Huffman's algorithm can be viewed as a variable-length code table for encoding a source symbol (such as a character in a file)
Huffman_coding
VAX architecture, and the x86 architecture are variable-length. Initial versions of SuperH had fixed-length 16-bit instructions in spite of having a 32-bit
Comparison of instruction set architectures
Comparison_of_instruction_set_architectures
Mathematical formula expressing equality
polynomial equation in one variable with rational coefficients (or equivalently — by clearing denominators — with integer coefficients). Numbers such
Equation
Notation for representing a fixed value in source code
change. Literals are often used to initialize variables; for example, in the following, 1 is an integer literal and the three letter string in "cat" is
Literal (computer programming)
Literal_(computer_programming)
Integer side lengths of a right triangle
Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. A triangle whose side lengths are a Pythagorean triple is a right triangle and called
Pythagorean_triple
Object whose state cannot be modified after it is created
either variable (i.e. mutable; typically the implicit default), or constant (i.e. immutable) via the constant keyword. type Some_type is new Integer; --
Immutable_object
List of programming language comparisons
pseudo-array that accommodates negative indices or any integer index origin. C99 allows for variable size arrays; however there is almost no compiler available
Comparison of programming languages (array)
Comparison_of_programming_languages_(array)
Online database of integer sequences
The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching
On-Line Encyclopedia of Integer Sequences
On-Line_Encyclopedia_of_Integer_Sequences
Set of rules defining correctly structured programs
log("hello World"); Arrays have a length property that is guaranteed to always be larger than the largest integer index used in the array. It is automatically
JavaScript_syntax
Binary serialization format
separate types. Number types are identical to AMF0 encoding while Integers have variable length from 1 to 4 bytes where the most significant bit of bytes 1-3
Action_Message_Format
Data type that represents an ordered collection of elements (values or variables)
array [1..4,1..2] of integer, defines a new array data type called MyTable. The declaration var A: MyTable then defines a variable A of that type, which
Array_(data_type)
Discrete probability distribution
mode of a Poisson-distributed random variable with non-integer λ is equal to ⌊λ⌋, which is the largest integer less than or equal to λ. This is also
Poisson_distribution
Keyword in programming languages
it is also commonly used to provide specific descriptive type names for integer data types of varying sizes. A typedef declaration follows the same syntax
Typedef
Methods of approximating line segments for pixel displays
incremented by 1 and the control variable is decremented by 1. This allows the algorithm to avoid rounding and only use integer operations. However, for short
Line_drawing_algorithm
Proprietary array programming language
give arguments local variable bindings explicitly. In the direct implementation, the expression "til x" enumerates the integers from 0 to x-1, "1+" adds
Q (programming language from Kx Systems)
Q_(programming_language_from_Kx_Systems)
Assembly languages for the RISC-V computer architecture
registers are categorized into integer registers and floating-point registers. RISC-V instructions use variable-length encoding. Extensions: atomic instructions
RISC-V_assembly_language
Executable Java file format
integer u2: an unsigned 16-bit integer in big-endian byte order u4: an unsigned 32-bit integer in big-endian byte order table: an array of variable-length
Java_class_file
Problem of determining if a Boolean formula could be made true
MAJ-kSAT is demonstrated to be in P for every finite integer k. #SAT, the problem of counting how many variable assignments satisfy a formula, is a counting problem
Boolean satisfiability problem
Boolean_satisfiability_problem
example, integer, floating-point, single- and double-precision, object, etc.) except fixed-length string type. In Visual Basic, any variable not declared
Variant_type_(COM)
Composite data type
assigned to the corresponding variable field; so that, for example, a short integer field can be assigned to a long integer field, or vice versa. Other
Record_(computer_science)
C programming language standard draft planned for release in 2029
undefined/implementation defined behavior. If a is an array and i has integer type a[i] is redefined to mean the i + 1-th element of the array instead
C29_(C_standard_revision)
Replacing a number with a simpler value
certain contexts, such as when assigning a fractional number to an integer variable, or using a fractional number as an index of an array. Other kinds
Rounding
Using one interface or symbol with regards to multiple different types
them: data List a = Nil | Cons a (List a) length :: List a -> Integer length Nil = 0 length (Cons x xs) = 1 + length xs map :: (a -> b) -> List a -> List b
Polymorphism (computer science)
Polymorphism_(computer_science)
Frameworks for modeling variables that evolve over time
periods is finite. Measurements are typically made at sequential integer values of the variable "time". A discrete signal or discrete-time signal is a time
Discrete time and continuous time
Discrete_time_and_continuous_time
Logic for safely sharing computer resources
values of global variables Entering: array [1..NUM_THREADS] of bool = {false}; Number: array [1..NUM_THREADS] of integer = {0}; lock(integer i) { Entering[i]
Lamport's_bakery_algorithm
Arithmetic operation
introduced variable exponents, and, implicitly, non-integer exponents by writing: Consider exponentials or powers in which the exponent itself is a variable. It
Exponentiation
Function with variable number of arguments
more than 4 arguments', for example) to the point where they are not variable-length (such as 'take exactly 4 arguments') - thus calling them variadics
Variadic_function
common data types of real, integer, and Boolean. A data type constrains the values that an expression, such as a variable or a function, might take. This
Glossary_of_computer_science
Arithmetical operation
which results in ∏i=14(i+1)=120. In such a notation, the variable i represents a varying integer, called the multiplication index, that runs from the lower
Multiplication
47 <length=03> <sh> <sm> <sl> F7 Note: sh, sm and sl are defined as Standard Speed in the MIDI 1.0 Recommended Practice RP-013. sh = Nominal Integer part
MIDI_Machine_Control
Type of prefix code
of four ones in binary) can be used to indicate the end of the integer. Variable-length quantity These are non-universal ones: Unary coding, which is used
Universal code (data compression)
Universal_code_(data_compression)
Optimization problem in mathematics
problem for fixed sizes and orientations as an integer linear program. Further, constraints and variables can be added to minimize the bounding-box-netlength
Rectangle_packing
Data interface description language
between 1 and 10 elements. The anArray field is a fixed length 100 element array of integers that must be in the range 0 to 1000. The '...' extensibility
ASN.1
travel, tourism, insurance
VARIABLE LENGTH-INTEGER
VARIABLE LENGTH-INTEGER
VARIABLE LENGTH-INTEGER
VARIABLE LENGTH-INTEGER
VARIABLE LENGTH-INTEGER
VARIABLE LENGTH-INTEGER
VARIABLE LENGTH-INTEGER
VARIABLE LENGTH-INTEGER
VARIABLE LENGTH-INTEGER
travel, tourism, insurance