what is meant by the notation "U+" when discussing Unicode encoding? - unicode

i realize this is pretty basic, as i am reading about Unicode in Wikipedia and wherever it points. but this "U+0000" semantic is not completely explained. it appears to me that "U" always equals 0.
why is that "U+" part of the notation? what exactly does it mean? (it appears to be some base value, but i cannot understand when or why it is ever non-zero.)
also, if i receive a string of text from some other source, how do i know if that string is encoded UTF-8 or UTF-16 or UTF-32? is there some way i can automatically determine that by context?

From Wikipedia, article Unicode, section Architecture and Terminology:
Unicode defines a codespace of 1,114,112 code points in the range 0 to 10FFFF (hexadecimal). Normally a Unicode code point is referred to by writing "U+" followed by its hexadecimal number. For code points in the Basic Multilingual Plane (BMP), four digits are used (e.g., U+0058 for the character LATIN CAPITAL LETTER X); for code points outside the BMP, five or six digits are used.
This convention was introduced so that the readers understand that the code point is specifically a Unicode code point. For example, the letter ă (LATIN SMALL LETTER A WITH BREVE) is U+0103; in Code Page 852 it has the code 0xC7, in Code Page 1250 it has the code 0xE3, but when I write U+0103 everybody understands that I mean the Unicode code point and they can look it up.
For languages written with the Latin alphabet, UTF-16 and UTF-32 strings will most likely contain lots and lots of bytes with the value 0, which should not appear in UTF-8 encoded strings. By looking at which bytes are zero you can also infer the byte order of UTF-16 and UTF-32 strings, even in the absence of a Byte Order Mark.
So for example if you get the bytes
0xC3 0x89 0x70 0xC3 0xA9 0x65
this is most likely Épée in UTF-8 encoding. In little-endian UTF-16 this would be
0x00 0xC9 0x00 0x70 0x00 0xE9 0x00 0x65
(Note how every even-numbered byte is zero.)

Related

Why is there no Unicode starting with 0xC1?

While studying the Unicode and utf-8 encoding,
I noticed that the 129th Unicode encoded by the utf-8 starts with 0xc2.
I checked the last letter of 0xcf.
No Unicode was 0xc1 encoded as 0xc1.
Why 129th unicode is start at 0xc2 instead of 0xc1?
The UTF-8 specification, RFC 3629 specifically states in the introduction:
The octet values C0, C1, F5 to FF never appear.
The reason for this is that a 1-byte UTF-8 sequence consists of the 8-bit binary pattern 0xxxxxxx (a zero followed by seven bits) and can represent Unicode code points that fit in seven bits (U+0000 to U+007F).
A 2-byte UTF-8 sequence consists of the 16-bit binary pattern 110xxxxx 10xxxxxx and can represent Unicode code points that fit in eight to eleven bits (U+0080 to U+07FF).
It is not legal in UTF-8 encoding to use more bytes that the minimum required, so while U+007F can be represented in two bytes as 11000001 10111111 (C1 BF hex) it is more compact and therefore follows specification as the 1-byte 01111111.
The first valid two-byte value is the encoding of U+0080, which is 1100010 10000000 (C2 80 hex), so C0 and C1 will never appear.
See section 3 UTF-8 definition in the standard. The last paragraph states:
Implementations of the decoding algorithm above MUST protect against
decoding invalid sequences. For instance, a naive implementation may
decode the overlong UTF-8 sequence C0 80 into the character U+0000....
UTF-8 starting with 0xc1 would be a Unicode code point in the range 0x40 to 0x7f. 0xc0 would be a Unicode code point in the range 0x00 to 0x3f.
There is an iron rule that every code point is represented in UTF-8 in the shortest possible way. Since all these code points can be stored in a single UTF-8 byte, they are not allowed to be stored using two bytes.
For the same reason you will find that there are no 4-byte codes starting with 0xf0 0x80 to 0xf0 0x8f because they are stored using fewer bytes instead.

Why Unicode code points are always written with at least 2 bytes?

Why does Unicode code points are always written with 2 bytes (4 digits) even when that's not necessary ?
From the Wikipedia page about UTF-8 :
$ -> U+0024
¢ -> U+00A2
TL;DR This is all by convention of the Unicode Consortium.
Here is the formal definition, found in Appendix A: Notational Conventions of the Unicode standard (I've referenced the latest at this time, version 11):
In running text, an individual Unicode code point is expressed as U+n, where n is four to
six hexadecimal digits, using the digits 0–9 and uppercase letters A–F (for 10 through 15,
respectively). Leading zeros are omitted, unless the code point would have fewer than four
hexadecimal digits—for example, U+0001, U+0012, U+0123, U+1234, U+12345,
U+102345.
They are hexadecimal digits, that represent Unicode Scalar Values. Initially only the first plane called the Basic Multilingual Plane were made available, which supported a range of U+0000 to U+FFFF to be defined. Initially the U+ encoding therefore always had 4 hexadecimal characters.
However, that only allows 64 Ki (65536) code points to use for characters (excluding some reserved values). So the single plane was later extended to 17 planes. Leading zero's are suppressed for values of U+10000 or higher, so the next character is written as U+10000, not U+010000. Currently there are 17 planes of 64Ki code points (some of which may be reserved), starting at U+0000, U+10000 ... U+90000 and finally U100000.
The U+xxxx notation does not follow UTF-8 encoding. Nor does it follow UTF-16, UTF-32 or the deprecated UCS encodings, either in big or little endian. The encoding of characters within the Basic Multilingual Plane is however identical to UTF-16(BE) in hexadecimal. Note that UTF-16 may contain surrogate code units that are used as escape to encode the characters in the other planes. The ranges of those code units are not mapped to characters and will therefore not be present in the textual code point representation.
See for instance, the PLUS-MINUS SIGN, ±:
Unicode code point: U+00B1 (as a textual string)
UTF-8 : 0xC2 0xB1 (as two bytes)
UTF-16 : 0x00B1
UTF-16BE : 0x00B1 as 0x00 0xB1 (as two bytes)
UTF-16LE : 0x00B1 as 0xB1 0x00 (as two bytes)
https://www.fileformat.info/info/unicode/char/00b1/index.htm
Much of this information can be found at sil.org.

How is a high unicode codepoint expressed as two codepoints?

I've seen that >2 byte unicode codepoints like U+10000 can be written as a pair, like \uD800\uDC00. They seem to start with the nibble d, but that's all I've noticed.
What is that splitting action called and how does it work?
UTF-8 means (using my own words) that the minimum atom of processing is a byte (the code unit is 1-byte long). I don't know if historically, but at least, conceptually spoken, the UCS-2 and UCS-4 Unicode encodings come first, and UTF-8/UTF-16 appear to solve some problems of UCS-*.
UCS-2 means that each character uses 2 bytes instead of one. It's a fixed-length encoding. UCS-2 saves the bytestring of each code point as you say. The problem is there are characters which codepoints require more than 2 bytes to store it. So, UCS-2 only can handle a subset of Unicode (the range U+0000 to U+FFFF of course).
UCS-4 uses 4 bytes for each character instead, and it's capable enough to store the bitstring of any Unicode code point, obviously (the Unicode range is from U+000000 to U+10FFFF).
The problem with UCS-4 is that characters outside the 2-bytes range are very, very uncommon, and any text encoded using UCS-4 will waste too much space. So, using UCS-2 is a better approach, unless you need characters outside the 2-bytes range.
But again, English texts, source code files and so on use mostly ASCII characters and UCS-2 has the same problem: wasting too much space for texts which use mostly ASCII characters (too many useless zeros).
That is what UTF-8 does. Characters inside the ASCII range are saved in UTF-8 texts as-is. It just takes the bitstring of the code point/ASCII value of each character. So, if a UTF-8 encoded text uses only ASCII characters, it is indistinguishable from any other Latin1 encoding. Clients without UTF-8 support can handle UTF-8 texts using only ASCII characters, because they look identical. It's a backward compatible encoding.
From then on (Unicode characters outside the ASCII range), UTF-8 texts use two, three or four bytes to save code points, depending on the character.
I don't know the exact method, but the bitestring is split in two, three or four bytes using known bit prefixes to know the amount of bytes used to save the code point. If a byte begins with 0, means the character is ASCII and uses only 1 byte (the ASCII range is 7-bits long). If it begins with 1, the character is encoded using two, three or four bytes depending on what bit comes next.
The problem with UTF-8 is that it requires too much processing (it must examine the first bits of each character to know its length), specially if the text is not English-like. For example, a text written in Greek will use mostly two-byte characters.
UTF-16 uses two-bytes code units to solve that problem for non-ASCII texts. That means that the atoms of processing are 16-bit words. If a character encoding doesn't fit in a two-byte code unit, then it uses 2 code units (four bytes) to encode the character. That pair of two code units is called a surrogate pair. I think a UTF-16 text using only characters inside the 2-byte range is equivalent to the same text using UCS-2.
UTF-32, in turn, uses 4-bytes code units, as UCS-4 does. I don't know the differences between them though.
The complete picture filling in your confusion is formatted below:
Referencing what I learned from the comments...
U+10000 is a Unicode code point (hexadecimal integer mapped to a character).
Unicode is a one-to-one mapping of code points to characters.
The inclusive range of code points from 0xD800 to 0xDFFF is reserved for UTF-161 (Unicode vs UTF) surrogate units (see below).
\uD800\uDC002 are two such surrogate units, called a surrogate pair. (A surrogate unit is a code unit that's part of a surrogate pair.)
Abstract representation: Code point (abstract character) --> Code unit (abstract UTF-16) --> Code unit (UTF-16 encoded bytes) --> Interpreted UTF-16
Actual usage example: Input data is bytes and may be wrapped in a second encoding, like ASCII for HTML entities and unicode escapes, or anything the parser handles --> Encoding interpreted; mapped to code point via scheme --> Font glyph --> Character on screen
How surrogate pairs work
Surrogate pair advantages:
There are only high and low units. A high must be followed by a low. No confusing high&low units.
UTF-16 can use 2 bytes for the first 63487 code points because surrogates cannot be mistaken for code points.
A range of 2048 code points is (2048/2)**2 to yield a range of 1048576 code points.
The processing is done on the less frequently used characters.
1 UTF-16 is the only UTF which uses surrogate pairs.
2 This is formatted as a unicode escape sequence.
Graphics describing character encoding:
Keep reading:
How does UTF-8 "variable-width encoding" work?
Unicode, UTF, ASCII, ANSI format differences
Code point

Why must unicode use utf-8?

as far I know, the UNICODE is the industry standard for character mapping.
What I don't get is that why it has to be encoded via UTF-8 and not directly as Unicode?
Say the letter "a", why can't it be just stored as a String with "U+0061" as the value, and must be stored as octal 0061?
do i make any sense?
Who says it must be encoded as UTF-8? There are several common encodings for Unicode, including UTF-16 (big- or little-endian), and some less common ones such as UTF-7 and UTF-32.
Unicode itself is not an encoding; it's merely a specification of numeric code points for several thousand characters.
The Unicode code point for lowercase a is 0x61 in hexadecimal, 97 in decimal, or 0141 in octal.
If you're suggesting that 'a' should be encoded as the 6-character ASCII string "U+0061", that would be terribly wasteful of space and more difficult to decode than UTF-8.
If you're suggesting storing the numeric values directly, that's what UTF-32 does: it stores each character as a 32-bit (4-octet) number that directly represents the code point. The trouble with that is that it's nearly as wasteful of space as "U+0061" (4 bytes per character vs. 6.)
The UTF-8 encoding has a number of advantages. One is that it's upward compatible with ASCII. Another is that it's reasonably efficient even for non-ASCII characters, as long as most of the encoded text is within the first few thousand code points.
UTF-16 has some other advantages, but I personally prefer UTF-8. MS Windows tends to use UTF-16, but mostly for historical reasons; Windows added Unicode support when there were fewer than 65536 defined code points, which made UTF-16 equvalent to UCS-2, which is a simpler representation.
UTF-8 is only one 'memory format' of Unicode. There is also UTF-16, UTF-32 and a number of other memory mapping formats.
UTF-8 has been used broadly because it is upwardly compatible with an 8 bit character code like Ascii.
You can tell a browser via html, mySQL at several levels, and Notepad++ vie encoding option to use other formats for the data they operate on.
DuckDuckGo or Google Unicode and you will find plenty of articles on this on the internet. Here is one: https://ssl.icu-project.org/docs/papers/forms_of_unicode/
Say the letter "a", why can't it be just stored as a String with "U+0061" as the value
Stored data is a sequence of byte values, generally interpreted at the lowest level as numbers. We usually use bytes that can be one of 256 values, so we look at them as numbers in the range 0 to 255.
So when you say 'just stored as a String with "U+0061"' what sequence of numbers in the range 0-255 do you mean?
Unicode code points like U+0061 are written in hexadecimal. Hexadecimal 61 is the number 97 in the more familiar decimal system, so perhaps you think that the letter 'a' should be stored as a single byte with the value 97. You might be surprised to learn that this is exactly how the encoding UTF-8 represents this string.
Of course there are more than 256 characters defined in Unicode, so not all Unicode characters can be stored as bytes with the same value as their Unicode codepoint. UTF-8 has one way of dealing with this, and there are other encodings with different ways.
UTF-32, for example, is an encoding which uses 4 bytes together at a time to represent a codepoint. Since one byte has 256 values four bytes can have 256 × 256 × 256 × 256, or 4,294,967,296 different arrangements. We can number those arrangements of bytes from 0 to 4,294,967,295 and then store every Unicode codepoint as the arrangement of bytes that we've numbered with the number corresponding to the Unicode codepoint value. This is exactly what UTF-32 does.
(However, there are different ways to assign numbers to those arrangements of four bytes and so there are multiple versions of UTF-32, such as UTF-32BE and UTF-32LE. Typically a particular medium of storing or transmitting bytes specifies its own numbering scheme, and the encoding 'UTF-32' without further qualification implies that whatever the medium's native scheme is should be used.)
Read this article:
The Absolute Minimum Every Software Developer Absolutely, Positively Must Know About Unicode and Character Sets (No Excuses!)
do i make any sense?
Not a lot! (Read on ...)
as far I know, the UNICODE (sic) is the industry standard for character mapping.
That is incorrect. Unicode IS NOT a standard for character mapping. It is a standard that defines a set of character codes and what they mean.
It is essentially a catalogue that defines a mapping of codes (Unicode "code points") to conceptual characters, but it is not a standard for mapping characters. It certainly DOES NOT define a standard way to represent the code points; i.e. a mapping to a representation. (That is what character encoding schemes do!)
What I don't get is that why it has to be encoded via UTF-8 and not directly as Unicode?
That is incorrect. Character data DOES NOT have to be encoded in UTF-8. It can be encoded as UTF-8. But it can also be encoded in a number of other ways too:
The Unicode has specified a number of encoding schemes, including UTF-8, UTF-16 and UTF-32, and various historical variants.
There are many other standard encoding schemes (probably hundreds of them). This Wikipedia page lists some of the common ones.
The various different encoding schemes have different purposes (and different limitations). For example:
ASCII and LATIN-1 are 7 and 8-bit character sets (respectively) that encode a small subset of Unicode code-points. (ASCII encodes roman letters and numbers, some punctuation, and "control codes". LATIN-1 adds a number of accented latin letters using in Western Europe and some other common "typographical" characters.)
UTF-8 is a variable length encoding scheme that encodes Unicode code points as 1 to 5 bytes (octets). (It is biased towards western usage ... since it encodes all latin / roman letters and numbers as single bytes.)
UTF-16 is designed for encoding Unicode code points in 16-bit units. (Java Strings are essentially UTF-16 encoded.)
Say the letter "a", why can't it be just stored as a String with "U+0061" as the value, and must be stored as octal 0061?
In fact, a Java String is represented as a sequence of char values. The char type is a 16-bit unsigned integer type; i.e. it has values 0 through 65535. And the char value that represents a lowercase "a" character is hex 0061 == octal 141 == decimal 97.
You are incorrect about "octal 0061" ... but I can't figure out what distinction you are actually trying to make here, so I can't really comment on that.

Why Degree symbol differs from UTF-8 from unicode?

Why Degree symbol differs from UTF-8 from unicode?
According to: http://www.utf8-chartable.de/ and
http://www.fileformat.info/info/unicode/char/b0/index.htm
unicode is B0 but UTF-8 is C2 B0 How come!??
UTF-8 is a way to encode UTF characters using variable number of bytes (the number of bytes depends on the code point).
Code points between U+0080 and U+07FF use the following 2-byte encoding:
110xxxxx 10xxxxxx
where x represent the bits of the code point being encoded.
Let's consider U+00B0. In binary, 0xB0 is 10110000. If one substitutes the bits into the above template, one gets:
11000010 10110000
In hex, this is 0xC2 0xB0.
UTF-8 is one encoding of Unicode. UTF-16 and UTF-32 are other encodings of Unicode.
Unicode defines a numeric value for each character; the degree symbol happens to be 0xB0, or 176 in decimal. Unicode does not define how those numeric values are represented.
UTF-8 encodes the value 0xB0 as two consecutive octets (bytes) with values 0xC2 0xB0.
UTF-16 encodes the same value either as 0x00 0xB0 or as 0xBo 0x00, depending on endianness.
UTF-32 encodes it as 0x00 0x00 0x00 0xB0 or as 0xB0 0x00 0x00 0x00, again depending on endianness (I suppose other orderings are possible).
Unicode (UTF-16 and UTF-32) uses the code point 0x00B0 for that character. UTF-8 doesn't allow characters at values above 127 (0x007F), as the high bit of each byte is reserved to indicate that this particular character is actually a multi-byte one.
Basic 7-bit ASCII maps directly to the first 128 characters of UTF-8. Any characters whose values are above 127 decimal (7F hex) must be "escaped" by setting the high bit and adding 1 or more extra bytes to describe.
The answers from NPE, Marc and Keith are good and above my knowledge on this topic. Still I had to read them a couple of times before I realized what this was about. Then I saw this web page that made it "click" for me.
At http://www.utf8-chartable.de/, you can see the following:
Notice how it is necessary to use TWO bytes to code ONE character. Now read the accepted answer from NPE.