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In Java, how are Unicode chars and Java UTF-16 codepoints handled?

I'm struggling with Unicode characters in Java 10.
I'm using the java.text.BreakIterator package.
For this output:
myString="a𝓞b" hex=0061d835dcde0062
myString.length()=4
myString.codePointCount(0,s.length())=3
BreakIterator output:
a hex=0061
𝓞 hex=d835dcde
b hex=0062
Seems correct.
Using the same Java code, then with this output:
myString="G̲íl" hex=0047033200ed006c
myString.length()=4
myString.codePointCount(0,s.length())=4
BreakIterator output:
G̲ hex=00470332
í hex=00ed
l hex=006c
Seems correct too, EXCEPT for the codePointCount=4.
Why isn't it 3, and is there a means of getting
a 3 value without using BreakIterator?
My goal is to determine if all (output) chars of a string are
16-bit, or are surrogate or combining chars present?

"G̲íl" is four code points: U+0047, U+0332, U+00ED, U+006C.
U+0332 is a combining character, but it is a separate code point. That's not the same as your first example, which requires using a surrogate pair (2 UTF-16 code units) to represent U+1D4DE - but the latter is still a single code point.
BreakIterator finds boundaries in text - the two code points here that are combined don't have a boundary between them in that sense. From the documentation:
Character boundary analysis allows users to interact with characters as they expect to, for example, when moving the cursor through a text string. Character boundary analysis provides correct navigation through character strings, regardless of how the character is stored.
So I think everything is working correctly here.

A codepoint corresponds to one Unicode character.
Java represents Unicode in UTF-16, i.e., in 16-bit units. Characters with codepoint values larger than U+FFFF are represented by a pair of 'surrogate characters', as in your first example. Thus the first result of 3.
In the second case, you have an example that is not a single Unicode character. It is one character, LETTER G, followed by another character COMBINING CHARACTER LOW LINE. That is two codepoints per the definition. Thus the second result of 4.
In general, Unicode has tables of character attributes (I'm not sure if I have the right word here) and it is possible to find out that one of your codepoints is a combining character.
Take a look at the Character class. getType(character) will tell you if a codepoint is a combining character or a surrogate.

What is the equivalent in .Net of the :print: character class from PHP or Java? [duplicate]

Is there a special regex statement like \w that denotes all printable characters? I'd like to validate that a string only contains a character that can be printed--i.e. does not contain ASCII control characters like \b (bell), or null, etc. Anything on the keyboard is fine, and so are UTF chars.
If there isn't a special statement, how can I specify this in a regex?

Very late to the party, but this regexp works: /[ -~]/.
How? It matches all characters in the range from space (ASCII DEC 32) to tilde (ASCII DEC 126), which is the range of all printable characters.
If you want to strip non-ASCII characters, you could use something like:
$someString.replace(/[^ -~]/g, '');
NOTE: this is not valid .net code, but an example of regexp usage for those who stumble upon this via search engines later.

If your regex flavor supports Unicode properties, this is probably the best the best way:
\P{Cc}
That matches any character that's not a control character, whether it be ASCII -- [\x00-\x1F\x7F] -- or Latin1 -- [\x80-\x9F] (also known as the C1 control characters).
The problem with POSIX classes like [:print:] or \p{Print} is that they can match different things depending on the regex flavor and, possibly, the locale settings of the underlying platform. In Java, they're strictly ASCII-oriented. That means \p{Print} matches only the ASCII printing characters -- [\x20-\x7E] -- while \P{Cntrl} (note the capital 'P') matches everything that's not an ASCII control character -- [^\x00-\x1F\x7F]. That is, it matches any ASCII character that isn't a control character, or any non-ASCII character--including C1 control characters.

TLDR Answer
Use this Regex...
\P{Cc}\P{Cn}\P{Cs}
Working Demo
In this demo, I use this regex to search the string "Hello, World!_". I'm going to add a weird character at the end, (char)4 — this is the character for END TRANSMISSION.
using System;
using System.Text.RegularExpressions;
public class Test {
public static void Main() {
// your code goes here
var regex = new Regex(#"![\P{Cc}\P{Cn}\P{Cs}]");
var matches = regex.Matches("Hello, World!" + (char)4);
Console.WriteLine("Results: " + matches.Count);
foreach (Match match in matches) {
Console.WriteLine("Result: " + match);
}
}
}
Full Working Demo at IDEOne.com
TLDR Explanation
\P{Cc} : Do not match control characters.
\P{Cn} : Do not match unassigned characters.
\P{Cs} : Do not match UTF-8-invalid characters.
Alternatives
\P{C} : Match only visible characters. Do not match any invisible characters.
\P{Cc} : Match only non-control characters. Do not match any control characters.
\P{Cc}\P{Cn} : Match only non-control characters that have been assigned. Do not match any control or unassigned characters.
\P{Cc}\P{Cn}\P{Cs} : Match only non-control characters that have been assigned and are UTF-8 valid. Do not match any control, unassigned, or UTF-8-invalid characters.
\P{Cc}\P{Cn}\P{Cs}\P{Cf} : Match only non-control, non-formatting characters that have been assigned and are UTF-8 valid. Do not match any control, unassigned, formatting, or UTF-8-invalid characters.
Source and Explanation
Take a look at the Unicode Character Properties available that can be used to test within a regex. You should be able to use these regexes in Microsoft .NET, JavaScript, Python, Java, PHP, Ruby, Perl, Golang, and even Adobe. Knowing Unicode character classes is very transferable knowledge, so I recommend using it!
All Matchable Unicode Character Sets
If you want to know any other character sets available, check out regular-expressions.info...
\p{L} or \p{Letter}: any kind of letter from any language.
\p{Ll} or \p{Lowercase_Letter}: a lowercase letter that has an uppercase variant.
\p{Lu} or \p{Uppercase_Letter}: an uppercase letter that has a lowercase variant.
\p{Lt} or \p{Titlecase_Letter}: a letter that appears at the start of a word when only the first letter of the word is capitalized.
\p{L&} or \p{Cased_Letter}: a letter that exists in lowercase and uppercase variants (combination of Ll, Lu and Lt).
\p{Lm} or \p{Modifier_Letter}: a special character that is used like a letter.
\p{Lo} or \p{Other_Letter}: a letter or ideograph that does not have lowercase and uppercase
\p{M} or \p{Mark}: a character intended to be combined with another character (e.g. accents, umlauts, enclosing boxes, etc.).
\p{Mn} or \p{Non_Spacing_Mark}: a character intended to be combined with another
character without taking up extra space (e.g. accents, umlauts, etc.).
\p{Mc} or \p{Spacing_Combining_Mark}: a character intended to be combined with another character that takes up extra space (vowel signs in many Eastern languages).
\p{Me} or \p{Enclosing_Mark}: a character that encloses the character it is combined with (circle, square, keycap, etc.).
\p{Z} or \p{Separator}: any kind of whitespace or invisible separator.
\p{Zs} or \p{Space_Separator}: a whitespace character that is invisible, but does take up space.
\p{Zl} or \p{Line_Separator}: line separator character U+2028.
\p{Zp} or \p{Paragraph_Separator}: paragraph separator character U+2029.
\p{S} or \p{Symbol}: math symbols, currency signs, dingbats, box-drawing characters, etc.
\p{Sm} or \p{Math_Symbol}: any mathematical symbol.
\p{Sc} or \p{Currency_Symbol}: any currency sign.
\p{Sk} or \p{Modifier_Symbol}: a combining character (mark) as a full character on its own.
\p{So} or \p{Other_Symbol}: various symbols that are not math symbols, currency signs, or combining characters.
\p{N} or \p{Number}: any kind of numeric character in any script.
\p{Nd} or \p{Decimal_Digit_Number}: a digit zero through nine in any script except ideographic scripts.
\p{Nl} or \p{Letter_Number}: a number that looks like a letter, such as a Roman numeral.
\p{No} or \p{Other_Number}: a superscript or subscript digit, or a number that is not a digit 0–9 (excluding numbers from ideographic scripts).
\p{P} or \p{Punctuation}: any kind of punctuation character.
\p{Pd} or \p{Dash_Punctuation}: any kind of hyphen or dash.
\p{Ps} or \p{Open_Punctuation}: any kind of opening bracket.
\p{Pe} or \p{Close_Punctuation}: any kind of closing bracket.
\p{Pi} or \p{Initial_Punctuation}: any kind of opening quote.
\p{Pf} or \p{Final_Punctuation}: any kind of closing quote.
\p{Pc} or \p{Connector_Punctuation}: a punctuation character such as an underscore that connects words.
\p{Po} or \p{Other_Punctuation}: any kind of punctuation character that is not a dash, bracket, quote or connector.
\p{C} or \p{Other}: invisible control characters and unused code points.
\p{Cc} or \p{Control}: an ASCII or Latin-1 control character: 0x00–0x1F and 0x7F–0x9F.
\p{Cf} or \p{Format}: invisible formatting indicator.
\p{Co} or \p{Private_Use}: any code point reserved for private use.
\p{Cs} or \p{Surrogate}: one half of a surrogate pair in UTF-16 encoding.
\p{Cn} or \p{Unassigned}: any code point to which no character has been assigned.

There is a POSIX character class designation [:print:] that should match printable characters, and [:cntrl:] for control characters. Note that these match codes throughout the ASCII table, so they might not be suitable for matching other encodings.
Failing that, the expression [\x00-\x1f] will match through the ASCII control characters, although again, these could be printable in other encodings.

In Java, the \p{Print} option specifies the printable character class.

It depends wildly on what regex package you are using. This is one of these situations about which some wag said that the great thing about standards is there are so many to choose from.
If you happen to be using C, the isprint(3) function/macro is your friend.

Adding on to #Alan-Moore, \P{Cc} is actually as example of Negative Unicode Category or Unicode Block (ref: Character Classes in Regular Expressions). \P{name} matches any character that does not belong to a Unicode general category or named block. See the referred link for more examples of named blocks supported in .Net

How do I use high-order unicode characters in java?

How do I use unicode characters in Java, like the Negative Squared Latin Capital Letter E? Using "\u1F174" doesn't work as the \u escape only accepts 4 hex-digits.

You need to specify it as a surrogate pair - two UTF-16 code units.
For example, if you copy and paste the character into my Unicode explorer you can see that U+1F174 is represented in UTF-16 code units as U+D83C U+DD74. (You can work this out manually, of course.) So you could write it in a Java string literal as:
String text = "\uD83C\uDD74";
Other options include:
String text = new StringBuilder().appendCodePoint(0x1f174).toString();
String text = new String(new int[] { 0x1f174 }, 0, 1);
char[] chars = Character.toChars(0x1f174);

"\uD83C\uDD74"
Or indeed
"🅴"
Because Java characters represent UTF-16 units rather than actual Unicode characters, you need to represent it as a string, that will have the two UTF-16 surrogates.

Print unicode literal string as Unicode character

I need to print a unicode literal string as an equivalent unicode character.
System.out.println("\u00A5"); // prints ¥
System.out.println("\\u"+"00A5"); //prints \u0045 I need to print it as ¥
How can evaluate this string a unicode character ?

As an alternative to the other options here, you could use:
int codepoint = 0x00A5; // Generate this however you want, maybe with Integer.parseInt
String s = String.valueOf(Character.toChars(codepoint));
This would have the advantage over other proposed techniques in that it would also work with Unicode codepoints outside of the basic multilingual plane.

If you have a string:
System.out.println((char)(Integer.parseInt("00A5",16)));
probably works (haven't tested it)

Convert it to a character.
System.out.println((char) 0x00A5);
This will of course not work for very high code points, those may require 2 "characters".

How to encode a string to replace all special characters

I have a string which contains special character. But I have to convert the string into a string without having any special character so I used Base64 But in Base64 we are using equals to symbol (=) which is a special character. But I want to convert the string into a string which will have only alphanumerical letters. Also I can't remove special character only i have to replace all the special characters to maintain unique between two different strings. How to achieve this, Which encoding will help me to achieve this?

The simplest option would be to encode the text to binary using UTF-8, and then convert the binary back to text as hex (two characters per byte). It won't be terribly efficient, but it will just be alphanumeric.
You could use base32 instead to be a bit more efficient, but that's likely to be significantly more work, unless you can find a library which supports it out of the box. (Libraries to perform hex encoding are very common.)

There are a number of variations of base64, some of which don't use padding. (You still have a couple of non-alphanumeric characters for characters 62 and 63.)
The Wikipedia page on base64 goes into the details, including the "standard" variations used for a number of common use-cases. (Does yours match one of those?)
If your strings have to be strictly alphanumeric, then you'll need to use hex encoding (one byte becomes 2 hex digits), or roll your own encoding scheme. Your stated requirements are rather unusual ...

Commons codec has a url safe version of base64, which emits - and _ instead of + and / characters
http://commons.apache.org/codec/apidocs/org/apache/commons/codec/binary/Base64.html#encodeBase64URLSafe(byte[])

The easiest way would be to use a regular expression to match all nonalphanumeric characters and replace them with an empty string.
// This will remove all special characters except space.
var cleaned = stringToReplace.replace(/[^\w\s]/gm, '')
Adding any special characters to the above regex will skip that character.
// This will remove all special characters except space and period.
var cleaned = stringToReplace.replace(/[^\w\s.]/gm, '')
A working example.
const regex = /[^\w\s]/gm;
const str = `This is a text with many special characters.
Hello, user, your password is 543#!\$32=!`;
const subst = ``;
// The substituted value will be contained in the result variable
const result = str.replace(regex, subst);
console.log('Substitution result: ', result);
Regex explained.
[^\w\s]/gm
Match a single character not present in the list below [^\w\s]
\w matches any word character (equivalent to [a-zA-Z0-9_])
\s matches any whitespace character (equivalent to [\r\n\t\f\v \u00a0\u1680\u2000-\u200a\u2028\u2029\u202f\u205f\u3000\ufeff])
Global pattern flags
g modifier: global. All matches (don't return after first match)
m modifier: multi line. Causes ^ and $ to match the begin/end of each line (not only begin/end of string)

If you truly can only use alphanumerical characters you will have to come up with an escaping scheme that uses one of those chars for example, use 0 as the escape, and then encode the special char as a 2 char hex encoding of the ascii. Use 000 to mean 0.
e.g.
This is my special sentence with a 0.
encodes to:
This020is020my020special020sentence020with020a02000002e