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Variable-width encoding

A variable-width encoding is a type of character encoding scheme in which codes of differing lengths are used to encode a character set (a repertoire of symbols) for representation, usually in a computer.[1][a] Most common variable-width encodings are multibyte encodings, which use varying numbers of bytes (octets) to encode different characters. (Some authors, notably in Microsoft documentation, use the term multibyte character set, which is a misnomer, because representation size is an attribute of the encoding, not of the character set.)

Early variable width encodings using less than a byte per character were sometimes used to pack English text into fewer bytes in adventure games for early microcomputers. However disks (which unlike tapes allowed random access allowing text to be loaded on demand), increases in computer memory and general purpose compression algorithms have rendered such tricks largely obsolete.

Multibyte encodings are usually the result of a need to increase the number of characters which can be encoded without breaking backward compatibility with an existing constraint. For example, with one byte (8 bits) per character, one can encode 256 possible characters; in order to encode more than 256 characters, the obvious choice would be to use two or more bytes per encoding unit, two bytes (16 bits) would allow 65,536 possible characters, but such a change would break compatibility with existing systems and therefore might not be feasible at all.[b]

General structure edit

Since the aim of a multibyte encoding system is to minimise changes to existing application software, some characters must retain their pre-existing single-unit codes, even while other characters have multiple units in their codes. The result is that there are three sorts of units in a variable-width encoding: singletons, which consist of a single unit, lead units, which come first in a multiunit sequence, and trail units, which come afterwards in a multiunit sequence. Input and display software obviously needs to know about the structure of the multibyte encoding scheme, but other software generally doesn't need to know if a pair of bytes represent two separate characters or just one character.

For example, the four character string "I♥NY" is encoded in UTF-8 like this (shown as hexadecimal byte values): 49 E2 99 A5 4E 59. Of the six units in that sequence, 49, 4E, and 59 are singletons (for I, N, and Y), E2 is a lead unit and 99 and A5 are trail units. The heart symbol is represented by the combination of the lead unit and the two trail units.

UTF-8 makes it easy for a program to identify the three sorts of units, since they fall into separate value ranges. Older variable-width encodings are typically not as well-designed, since the ranges may overlap. A text processing application that deals with the variable-width encoding must then scan the text from the beginning of all definitive sequences in order to identify the various units and interpret the text correctly. In such encodings, one is liable to encounter false positives when searching for a string in the middle of the text. For example, if the hexadecimal values DE, DF, E0, and E1 can all be either lead units or trail units, then a search for the two-unit sequence DF E0 can yield a false positive in the sequence DE DF E0 E1, which consists of two consecutive two-unit sequences. There is also the danger that a single corrupted or lost unit may render the whole interpretation of a large run of multiunit sequences incorrect. In a variable-width encoding where all three types of units are disjunct, string searching always works without false positives, and (provided the decoder is well written) the corruption or loss of one unit corrupts only one character.

CJK multibyte encodings edit

The first use of multibyte encodings was for the encoding of Chinese, Japanese and Korean, which have large character sets well in excess of 256 characters. At first the encoding was constrained to the limit of 7 bits. The ISO-2022-JP, ISO-2022-CN and ISO-2022-KR encodings used the range 21–7E (hexadecimal) for both lead units and trail units, and marked them off from the singletons by using ISO 2022 escape sequences to switch between single-byte and multibyte mode. A total of 8,836 (94×94) characters could be encoded at first, and further sets of 94×94 characters with switching. The ISO 2022 encoding schemes for CJK are still in use on the Internet. The stateful nature of these encodings and the large overlap make them very awkward to process.

On Unix platforms, the ISO 2022 7-bit encodings were replaced by a set of 8-bit encoding schemes, the Extended Unix Code: EUC-JP, EUC-CN and EUC-KR. Instead of distinguishing between the multiunit sequences and the singletons with escape sequences, which made the encodings stateful, multiunit sequences were marked by having the most significant bit set, that is, being in the range 80–FF (hexadecimal), while the singletons were in the range 00–7F alone. The lead units and trail units were in the range A1 to FE (hexadecimal), that is, the same as their range in the ISO 2022 encodings, but with the high bit set to 1. These encodings were reasonably easy to work with provided all your delimiters were ASCII characters and you avoided truncating strings to fixed lengths, but a break in the middle of a multibyte character could still cause major corruption.

On the PC (DOS and Microsoft Windows platforms), two encodings became established for Japanese and Traditional Chinese in which all of singletons, lead units and trail units overlapped: Shift-JIS and Big5 respectively. In Shift-JIS, lead units had the range 81–9F and E0–FC, trail units had the range 40–7E and 80–FC, and singletons had the range 21–7E and A1–DF. In Big5, lead units had the range A1–FE, trail units had the range 40–7E and A1–FE, and singletons had the range 21–7E (all values in hexadecimal). This overlap again made processing tricky, though at least most of the symbols had unique byte values (though strangely the backslash does not).

Unicode variable-width encodings edit

The Unicode standard has two variable-width encodings: UTF-8 and UTF-16 (it also has a fixed-width encoding, UTF-32). Originally, both the Unicode and ISO 10646 standards were meant to be fixed-width, with Unicode being 16-bit and ISO 10646 being 32-bit.[citation needed] ISO 10646 provided a variable-width encoding called UTF-1, in which singletons had the range 00–9F, lead units the range A0–FF and trail units the ranges A0–FF and 21–7E. Because of this bad design, similar to Shift JIS and Big5 in its overlap of values, the inventors of the Plan 9 operating system, the first to implement Unicode throughout, abandoned it and replaced it with a much better designed variable-width encoding for Unicode: UTF-8, in which singletons have the range 00–7F, lead units have the range C0–FD (now actually C2–F4, to avoid overlong sequences and to maintain synchronism with the encoding capacity of UTF-16; see the UTF-8 article), and trail units have the range 80–BF. The lead unit also tells how many trail units follow: one after C2–DF, two after E0–EF and three after F0–F4.[c]

UTF-16 was devised to break free of the 65,536-character limit of the original Unicode (1.x) without breaking compatibility with the 16-bit encoding. In UTF-16, singletons have the range 0000–D7FF (55,296 code points) and E000–FFFF (8192 code points, 63,488 in total), lead units the range D800–DBFF (1024 code points) and trail units the range DC00–DFFF (1024 code points, 2048 in total). The lead and trail units, called high surrogates and low surrogates, respectively, in Unicode terminology, map 1024×1024 or 1,048,576 supplementary characters, making 1,112,064 (63,488 BMP code points + 1,048,576 code points represented by high and low surrogate pairs) encodable code points, or scalar values in Unicode parlance (surrogates are not encodable).

See also edit

Notes edit

  1. ^ The concept long precedes the advent of the electronic computer, however, as seen with Morse code.
  2. ^ As a real-life example of this, UTF-16, which represents the most common characters in exactly the manner just described (and uses pairs of 16-bit code units for less-common characters) never gained traction as an encoding for text intended for interchange due to its incompatibility with the ubiquitous 7-/8-bit ASCII encoding, with its intended role instead being taken by UTF-8, which does preserve ASCII compatibility.
  3. ^ In the original version of UTF-8, from its 1992 publication until its code space was restricted to that of UTF-16 in 2003, the range of lead units encoding three-unit trailing sequences was larger (F0–F7); additionally, the lead units F8–FB were followed by four trail units, and FC–FD by five. FE–FF were never valid lead or trail units in any version of UTF-8.

References edit

  1. ^ Crispin, M. (1 April 2005). UTF-9 and UTF-18 Efficient Transformation Formats of Unicode. doi:10.17487/rfc4042.

variable, width, encoding, this, article, needs, additional, citations, verification, please, help, improve, this, article, adding, citations, reliable, sources, unsourced, material, challenged, removed, find, sources, news, newspapers, books, scholar, jstor, . This article needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources Variable width encoding news newspapers books scholar JSTOR December 2009 Learn how and when to remove this template message This article is about the storage of text in computers For the transmission of data across noisy channels see variable length code A variable width encoding is a type of character encoding scheme in which codes of differing lengths are used to encode a character set a repertoire of symbols for representation usually in a computer 1 a Most common variable width encodings are multibyte encodings which use varying numbers of bytes octets to encode different characters Some authors notably in Microsoft documentation use the term multibyte character set which is a misnomer because representation size is an attribute of the encoding not of the character set Early variable width encodings using less than a byte per character were sometimes used to pack English text into fewer bytes in adventure games for early microcomputers However disks which unlike tapes allowed random access allowing text to be loaded on demand increases in computer memory and general purpose compression algorithms have rendered such tricks largely obsolete Multibyte encodings are usually the result of a need to increase the number of characters which can be encoded without breaking backward compatibility with an existing constraint For example with one byte 8 bits per character one can encode 256 possible characters in order to encode more than 256 characters the obvious choice would be to use two or more bytes per encoding unit two bytes 16 bits would allow 65 536 possible characters but such a change would break compatibility with existing systems and therefore might not be feasible at all b Contents 1 General structure 2 CJK multibyte encodings 3 Unicode variable width encodings 4 See also 5 Notes 6 ReferencesGeneral structure editSince the aim of a multibyte encoding system is to minimise changes to existing application software some characters must retain their pre existing single unit codes even while other characters have multiple units in their codes The result is that there are three sorts of units in a variable width encoding singletons which consist of a single unit lead units which come first in a multiunit sequence and trail units which come afterwards in a multiunit sequence Input and display software obviously needs to know about the structure of the multibyte encoding scheme but other software generally doesn t need to know if a pair of bytes represent two separate characters or just one character For example the four character string I NY is encoded in UTF 8 like this shown as hexadecimal byte values 49 E2 99 A5 4E 59 Of the six units in that sequence 49 4E and 59 are singletons for I N and Y E2 is a lead unit and 99 and A5 are trail units The heart symbol is represented by the combination of the lead unit and the two trail units UTF 8 makes it easy for a program to identify the three sorts of units since they fall into separate value ranges Older variable width encodings are typically not as well designed since the ranges may overlap A text processing application that deals with the variable width encoding must then scan the text from the beginning of all definitive sequences in order to identify the various units and interpret the text correctly In such encodings one is liable to encounter false positives when searching for a string in the middle of the text For example if the hexadecimal values DE DF E0 and E1 can all be either lead units or trail units then a search for the two unit sequence DF E0 can yield a false positive in the sequence DE DF E0 E1 which consists of two consecutive two unit sequences There is also the danger that a single corrupted or lost unit may render the whole interpretation of a large run of multiunit sequences incorrect In a variable width encoding where all three types of units are disjunct string searching always works without false positives and provided the decoder is well written the corruption or loss of one unit corrupts only one character CJK multibyte encodings editThe first use of multibyte encodings was for the encoding of Chinese Japanese and Korean which have large character sets well in excess of 256 characters At first the encoding was constrained to the limit of 7 bits The ISO 2022 JP ISO 2022 CN and ISO 2022 KR encodings used the range 21 7E hexadecimal for both lead units and trail units and marked them off from the singletons by using ISO 2022 escape sequences to switch between single byte and multibyte mode A total of 8 836 94 94 characters could be encoded at first and further sets of 94 94 characters with switching The ISO 2022 encoding schemes for CJK are still in use on the Internet The stateful nature of these encodings and the large overlap make them very awkward to process On Unix platforms the ISO 2022 7 bit encodings were replaced by a set of 8 bit encoding schemes the Extended Unix Code EUC JP EUC CN and EUC KR Instead of distinguishing between the multiunit sequences and the singletons with escape sequences which made the encodings stateful multiunit sequences were marked by having the most significant bit set that is being in the range 80 FF hexadecimal while the singletons were in the range 00 7F alone The lead units and trail units were in the range A1 to FE hexadecimal that is the same as their range in the ISO 2022 encodings but with the high bit set to 1 These encodings were reasonably easy to work with provided all your delimiters were ASCII characters and you avoided truncating strings to fixed lengths but a break in the middle of a multibyte character could still cause major corruption On the PC DOS and Microsoft Windows platforms two encodings became established for Japanese and Traditional Chinese in which all of singletons lead units and trail units overlapped Shift JIS and Big5 respectively In Shift JIS lead units had the range 81 9F and E0 FC trail units had the range 40 7E and 80 FC and singletons had the range 21 7E and A1 DF In Big5 lead units had the range A1 FE trail units had the range 40 7E and A1 FE and singletons had the range 21 7E all values in hexadecimal This overlap again made processing tricky though at least most of the symbols had unique byte values though strangely the backslash does not Unicode variable width encodings editThe Unicode standard has two variable width encodings UTF 8 and UTF 16 it also has a fixed width encoding UTF 32 Originally both the Unicode and ISO 10646 standards were meant to be fixed width with Unicode being 16 bit and ISO 10646 being 32 bit citation needed ISO 10646 provided a variable width encoding called UTF 1 in which singletons had the range 00 9F lead units the range A0 FF and trail units the ranges A0 FF and 21 7E Because of this bad design similar to Shift JIS and Big5 in its overlap of values the inventors of the Plan 9 operating system the first to implement Unicode throughout abandoned it and replaced it with a much better designed variable width encoding for Unicode UTF 8 in which singletons have the range 00 7F lead units have the range C0 FD now actually C2 F4 to avoid overlong sequences and to maintain synchronism with the encoding capacity of UTF 16 see the UTF 8 article and trail units have the range 80 BF The lead unit also tells how many trail units follow one after C2 DF two after E0 EF and three after F0 F4 c UTF 16 was devised to break free of the 65 536 character limit of the original Unicode 1 x without breaking compatibility with the 16 bit encoding In UTF 16 singletons have the range 0000 D7FF 55 296 code points and E000 FFFF 8192 code points 63 488 in total lead units the range D800 DBFF 1024 code points and trail units the range DC00 DFFF 1024 code points 2048 in total The lead and trail units called high surrogates and low surrogates respectively in Unicode terminology map 1024 1024 or 1 048 576 supplementary characters making 1 112 064 63 488 BMP code points 1 048 576 code points represented by high and low surrogate pairs encodable code points or scalar values in Unicode parlance surrogates are not encodable See also editwchar t wide characters Lotus Multi Byte Character Set LMBCS Triple Byte Character Set TBCS Double byte character set DBCS Single Byte Character Set SBCS Notes edit The concept long precedes the advent of the electronic computer however as seen with Morse code As a real life example of this UTF 16 which represents the most common characters in exactly the manner just described and uses pairs of 16 bit code units for less common characters never gained traction as an encoding for text intended for interchange due to its incompatibility with the ubiquitous 7 8 bit ASCII encoding with its intended role instead being taken by UTF 8 which does preserve ASCII compatibility In the original version of UTF 8 from its 1992 publication until its code space was restricted to that of UTF 16 in 2003 the range of lead units encoding three unit trailing sequences was larger F0 F7 additionally the lead units F8 FB were followed by four trail units and FC FD by five FE FF were never valid lead or trail units in any version of UTF 8 References edit Crispin M 1 April 2005 UTF 9 and UTF 18 Efficient Transformation Formats of Unicode doi 10 17487 rfc4042 Retrieved from https en wikipedia org w index php title Variable width encoding amp oldid 1200079144, wikipedia, wiki, book, books, library,

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