mkaravel commented on code in PR #47771:
URL: https://github.com/apache/spark/pull/47771#discussion_r1729507317


##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -482,6 +483,13 @@ private static void appendLowercaseCodePoint(final int 
codePoint, final StringBu
   private static final int CODE_POINT_COMBINING_DOT = 0x307;
   private static final int CODE_POINT_COMBINED_LOWERCASE_I_DOT =
     CODE_POINT_LOWERCASE_I << 16 | CODE_POINT_COMBINING_DOT;
+  private static final int ASCII_SPACE_CODEPOINT = 32;
+  private static final int CAPITAL_SIGMA = 0x03A3;
+  private static final int SMALL_NON_FINAL_SIGMA = 0x03C3;
+  private static final int SMALL_FINAL_SIGMA = 0x03C2;
+  private static final int CAPITAL_I_WITH_DOT_ABOVE = 0x0130;
+  private static final int LOWERCASE_I = 0x0069;

Review Comment:
   ```suggestion
     private static final int ASCII_SMALL_I = 0x0069;
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -482,6 +483,13 @@ private static void appendLowercaseCodePoint(final int 
codePoint, final StringBu
   private static final int CODE_POINT_COMBINING_DOT = 0x307;
   private static final int CODE_POINT_COMBINED_LOWERCASE_I_DOT =
     CODE_POINT_LOWERCASE_I << 16 | CODE_POINT_COMBINING_DOT;
+  private static final int ASCII_SPACE_CODEPOINT = 32;

Review Comment:
   ```suggestion
     private static final int ASCII_SPACE = 0x0020;
   ```
   In some of the names with use the word "CODEPOINT" or "CODE_POINT" and in 
some others we don't. In my comments I have opted for not using the additional 
word(s). I think the main here is to be consistent. One possibility would be to 
create a separate class `SpecialCodePointConstants`, define the constants in 
this class (using the simpler names) and then access the constants through that 
class. For example: `SpecialCodePointConstants.ASCII_SPACE`.
   
   Also along the lines of the previous comment, use the hex 4-digit 
representation for the ASCII space character.



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases

Review Comment:
   I think using the term "new behavior" here is misleading moving forward. In 
1-2 years from now "new" will have a vague and unrealistic meaning, which can 
be confusing. I think we need to rephrase this sentence to something like: 
"Title-casting a string using ICU case mappings".



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+

Review Comment:
   ```suggestion
   ```
   Please remove this empty line.



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {
+      // We will actually call 'codePointFrom()' 2 times for each character in 
the worst case (once
+      // here, and once in 'followedByCasedLetter'). Example of a string where 
we call it 2 times
+      // for almost every character is 'ΣΣΣΣΣ' (a string consisting only of 
Greek capital sigma)
+      // and 'Σ`````' (a string consisting of a Greek capital sigma, followed 
by case-ignorable
+      // characters).
+      int codepoint = target.codePointFrom(offset);
+      // Appending the correctly cased character onto 'sb'.
+      appendTitleCasedCodepoint(sb, codepoint, newWord, precededByCasedLetter, 
target, offset);
+      // Updating 'newWord', 'precededByCasedLetter' and 'offset' to be ready 
for the next character
+      // that we will process.
+      newWord = (codepoint == ASCII_SPACE_CODEPOINT);
+      if(!UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {
+        precededByCasedLetter = UCharacter.hasBinaryProperty(codepoint, 
UProperty.CASED);
+      }
+      offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    }
+    return sb.build();
+  }
+
+  private static void appendTitleCasedCodepoint(
+      UTF8StringBuilder sb,
+      int codepoint,
+      boolean isAfterAsciiSpace,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    if(isAfterAsciiSpace) {
+      // Titlecasing a character if it is in the beginning of a new word.
+      appendCodepointToTitleCase(sb, codepoint);
+      return;
+    }
+    if(codepoint == CAPITAL_SIGMA) {
+      // Handling capital Greek letter sigma ('Σ').
+      appendLowerCasedGreekCapitalSigma(sb, precededByCasedLetter, target, 
offset);
+      return;
+    }
+    // If it's not the beginning of a word, or a capital Greek letter sigma 
('Σ'), we lowercase the
+    // character. We specially handle 'CAPITAL_I_WITH_DOT_ABOVE'.
+    if (codepoint == CAPITAL_I_WITH_DOT_ABOVE) {
+      sb.appendCodePoint(LOWERCASE_I);
+      sb.appendCodePoint(DOT_ABOVE);
+      return;
+    }
+    sb.appendCodePoint(UCharacter.toLowerCase(codepoint));
+  }
+
+  private static void appendLowerCasedGreekCapitalSigma(
+      UTF8StringBuilder sb,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    int codepoint;
+    if (!followedByCasedLetter(target,offset) && precededByCasedLetter) {
+      codepoint = SMALL_FINAL_SIGMA;
+    }
+    else {
+      codepoint = SMALL_NON_FINAL_SIGMA;
+    }
+    sb.appendCodePoint(codepoint);
+  }
+
+  /**
+   * Checks if the character beginning at 'offset'(in 'targets' byte array) is 
followed by a cased
+   * letter.
+   */
+  private static boolean followedByCasedLetter(UTF8String target, int offset) {
+    // Moving the offset one character forward, so we could start the linear 
search from there.
+    offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    int len = target.numBytes();
+
+    while(offset < len) {
+      int codepoint = target.codePointFrom(offset);
+
+      if(UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {
+        offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+        continue;
+      }
+      return UCharacter.hasBinaryProperty(codepoint, UProperty.CASED);
+    }
+    return false;
+  }
+
+  /**
+   * Appends titlecase of a single character to a 'StringBuilder' using the 
ICU root locale rules.
+   */
+  private static void appendCodepointToTitleCase(UTF8StringBuilder sb, int 
codepoint) {
+    String toTitleCase = 
codepointOneToManyTitleCasePrecalculation.get(codepoint);
+    if(toTitleCase == null) {
+      sb.appendCodePoint(UCharacter.toTitleCase(codepoint));
+    }
+    else {

Review Comment:
   ```suggestion
       } else {
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {

Review Comment:
   Same below.



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -482,6 +483,13 @@ private static void appendLowercaseCodePoint(final int 
codePoint, final StringBu
   private static final int CODE_POINT_COMBINING_DOT = 0x307;

Review Comment:
   ```suggestion
     private static final int CODE_POINT_COMBINING_DOT = 0x0307;
   ```
   I think it it creates less of a cognitive overhead if we use the same format 
for all code points: `0xDDDD`.



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -482,6 +483,13 @@ private static void appendLowercaseCodePoint(final int 
codePoint, final StringBu
   private static final int CODE_POINT_COMBINING_DOT = 0x307;
   private static final int CODE_POINT_COMBINED_LOWERCASE_I_DOT =
     CODE_POINT_LOWERCASE_I << 16 | CODE_POINT_COMBINING_DOT;
+  private static final int ASCII_SPACE_CODEPOINT = 32;
+  private static final int CAPITAL_SIGMA = 0x03A3;

Review Comment:
   ```suggestion
     private static final int GREEK_CAPITAL_SIGMA = 0x03A3;
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -482,6 +483,13 @@ private static void appendLowercaseCodePoint(final int 
codePoint, final StringBu
   private static final int CODE_POINT_COMBINING_DOT = 0x307;
   private static final int CODE_POINT_COMBINED_LOWERCASE_I_DOT =
     CODE_POINT_LOWERCASE_I << 16 | CODE_POINT_COMBINING_DOT;
+  private static final int ASCII_SPACE_CODEPOINT = 32;
+  private static final int CAPITAL_SIGMA = 0x03A3;
+  private static final int SMALL_NON_FINAL_SIGMA = 0x03C3;
+  private static final int SMALL_FINAL_SIGMA = 0x03C2;

Review Comment:
   ```suggestion
     private static final int GREEK_FINAL_SIGMA = 0x03C2;
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -482,6 +483,13 @@ private static void appendLowercaseCodePoint(final int 
codePoint, final StringBu
   private static final int CODE_POINT_COMBINING_DOT = 0x307;
   private static final int CODE_POINT_COMBINED_LOWERCASE_I_DOT =
     CODE_POINT_LOWERCASE_I << 16 | CODE_POINT_COMBINING_DOT;
+  private static final int ASCII_SPACE_CODEPOINT = 32;
+  private static final int CAPITAL_SIGMA = 0x03A3;
+  private static final int SMALL_NON_FINAL_SIGMA = 0x03C3;

Review Comment:
   ```suggestion
     private static final int GREEK_SMALL_SIGMA = 0x03C3;
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =

Review Comment:
   ```suggestion
     private static final HashMap<Integer, String> 
codepointOneToManyTitleCaseLookupTable =
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {
+      // We will actually call 'codePointFrom()' 2 times for each character in 
the worst case (once
+      // here, and once in 'followedByCasedLetter'). Example of a string where 
we call it 2 times
+      // for almost every character is 'ΣΣΣΣΣ' (a string consisting only of 
Greek capital sigma)
+      // and 'Σ`````' (a string consisting of a Greek capital sigma, followed 
by case-ignorable
+      // characters).
+      int codepoint = target.codePointFrom(offset);
+      // Appending the correctly cased character onto 'sb'.
+      appendTitleCasedCodepoint(sb, codepoint, newWord, precededByCasedLetter, 
target, offset);
+      // Updating 'newWord', 'precededByCasedLetter' and 'offset' to be ready 
for the next character
+      // that we will process.
+      newWord = (codepoint == ASCII_SPACE_CODEPOINT);
+      if(!UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {
+        precededByCasedLetter = UCharacter.hasBinaryProperty(codepoint, 
UProperty.CASED);
+      }
+      offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    }
+    return sb.build();
+  }
+
+  private static void appendTitleCasedCodepoint(
+      UTF8StringBuilder sb,
+      int codepoint,
+      boolean isAfterAsciiSpace,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    if(isAfterAsciiSpace) {
+      // Titlecasing a character if it is in the beginning of a new word.
+      appendCodepointToTitleCase(sb, codepoint);
+      return;
+    }
+    if(codepoint == CAPITAL_SIGMA) {
+      // Handling capital Greek letter sigma ('Σ').
+      appendLowerCasedGreekCapitalSigma(sb, precededByCasedLetter, target, 
offset);
+      return;
+    }
+    // If it's not the beginning of a word, or a capital Greek letter sigma 
('Σ'), we lowercase the
+    // character. We specially handle 'CAPITAL_I_WITH_DOT_ABOVE'.
+    if (codepoint == CAPITAL_I_WITH_DOT_ABOVE) {
+      sb.appendCodePoint(LOWERCASE_I);
+      sb.appendCodePoint(DOT_ABOVE);
+      return;
+    }
+    sb.appendCodePoint(UCharacter.toLowerCase(codepoint));
+  }
+
+  private static void appendLowerCasedGreekCapitalSigma(
+      UTF8StringBuilder sb,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    int codepoint;
+    if (!followedByCasedLetter(target,offset) && precededByCasedLetter) {
+      codepoint = SMALL_FINAL_SIGMA;
+    }
+    else {
+      codepoint = SMALL_NON_FINAL_SIGMA;
+    }
+    sb.appendCodePoint(codepoint);
+  }
+
+  /**
+   * Checks if the character beginning at 'offset'(in 'targets' byte array) is 
followed by a cased
+   * letter.
+   */
+  private static boolean followedByCasedLetter(UTF8String target, int offset) {
+    // Moving the offset one character forward, so we could start the linear 
search from there.
+    offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    int len = target.numBytes();
+
+    while(offset < len) {
+      int codepoint = target.codePointFrom(offset);
+
+      if(UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {

Review Comment:
   ```suggestion
         if (UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) 
{
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {
+      // We will actually call 'codePointFrom()' 2 times for each character in 
the worst case (once
+      // here, and once in 'followedByCasedLetter'). Example of a string where 
we call it 2 times
+      // for almost every character is 'ΣΣΣΣΣ' (a string consisting only of 
Greek capital sigma)
+      // and 'Σ`````' (a string consisting of a Greek capital sigma, followed 
by case-ignorable
+      // characters).
+      int codepoint = target.codePointFrom(offset);
+      // Appending the correctly cased character onto 'sb'.
+      appendTitleCasedCodepoint(sb, codepoint, newWord, precededByCasedLetter, 
target, offset);
+      // Updating 'newWord', 'precededByCasedLetter' and 'offset' to be ready 
for the next character
+      // that we will process.
+      newWord = (codepoint == ASCII_SPACE_CODEPOINT);
+      if(!UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {
+        precededByCasedLetter = UCharacter.hasBinaryProperty(codepoint, 
UProperty.CASED);
+      }
+      offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    }
+    return sb.build();
+  }
+
+  private static void appendTitleCasedCodepoint(
+      UTF8StringBuilder sb,
+      int codepoint,
+      boolean isAfterAsciiSpace,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    if(isAfterAsciiSpace) {
+      // Titlecasing a character if it is in the beginning of a new word.
+      appendCodepointToTitleCase(sb, codepoint);
+      return;
+    }
+    if(codepoint == CAPITAL_SIGMA) {
+      // Handling capital Greek letter sigma ('Σ').
+      appendLowerCasedGreekCapitalSigma(sb, precededByCasedLetter, target, 
offset);
+      return;
+    }
+    // If it's not the beginning of a word, or a capital Greek letter sigma 
('Σ'), we lowercase the
+    // character. We specially handle 'CAPITAL_I_WITH_DOT_ABOVE'.
+    if (codepoint == CAPITAL_I_WITH_DOT_ABOVE) {
+      sb.appendCodePoint(LOWERCASE_I);
+      sb.appendCodePoint(DOT_ABOVE);
+      return;
+    }
+    sb.appendCodePoint(UCharacter.toLowerCase(codepoint));
+  }
+
+  private static void appendLowerCasedGreekCapitalSigma(
+      UTF8StringBuilder sb,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    int codepoint;
+    if (!followedByCasedLetter(target,offset) && precededByCasedLetter) {
+      codepoint = SMALL_FINAL_SIGMA;
+    }
+    else {
+      codepoint = SMALL_NON_FINAL_SIGMA;
+    }
+    sb.appendCodePoint(codepoint);
+  }
+
+  /**
+   * Checks if the character beginning at 'offset'(in 'targets' byte array) is 
followed by a cased
+   * letter.
+   */
+  private static boolean followedByCasedLetter(UTF8String target, int offset) {
+    // Moving the offset one character forward, so we could start the linear 
search from there.
+    offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    int len = target.numBytes();
+
+    while(offset < len) {

Review Comment:
   ```suggestion
       while (offset < len) {
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {
+      // We will actually call 'codePointFrom()' 2 times for each character in 
the worst case (once
+      // here, and once in 'followedByCasedLetter'). Example of a string where 
we call it 2 times
+      // for almost every character is 'ΣΣΣΣΣ' (a string consisting only of 
Greek capital sigma)
+      // and 'Σ`````' (a string consisting of a Greek capital sigma, followed 
by case-ignorable
+      // characters).
+      int codepoint = target.codePointFrom(offset);
+      // Appending the correctly cased character onto 'sb'.
+      appendTitleCasedCodepoint(sb, codepoint, newWord, precededByCasedLetter, 
target, offset);
+      // Updating 'newWord', 'precededByCasedLetter' and 'offset' to be ready 
for the next character
+      // that we will process.
+      newWord = (codepoint == ASCII_SPACE_CODEPOINT);
+      if(!UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {
+        precededByCasedLetter = UCharacter.hasBinaryProperty(codepoint, 
UProperty.CASED);
+      }
+      offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    }
+    return sb.build();
+  }
+
+  private static void appendTitleCasedCodepoint(
+      UTF8StringBuilder sb,
+      int codepoint,
+      boolean isAfterAsciiSpace,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    if(isAfterAsciiSpace) {

Review Comment:
   ```suggestion
       if (isAfterAsciiSpace) {
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {

Review Comment:
   ```suggestion
       while (offset < len) {
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {
+      // We will actually call 'codePointFrom()' 2 times for each character in 
the worst case (once
+      // here, and once in 'followedByCasedLetter'). Example of a string where 
we call it 2 times
+      // for almost every character is 'ΣΣΣΣΣ' (a string consisting only of 
Greek capital sigma)
+      // and 'Σ`````' (a string consisting of a Greek capital sigma, followed 
by case-ignorable
+      // characters).
+      int codepoint = target.codePointFrom(offset);
+      // Appending the correctly cased character onto 'sb'.
+      appendTitleCasedCodepoint(sb, codepoint, newWord, precededByCasedLetter, 
target, offset);
+      // Updating 'newWord', 'precededByCasedLetter' and 'offset' to be ready 
for the next character
+      // that we will process.
+      newWord = (codepoint == ASCII_SPACE_CODEPOINT);
+      if(!UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {
+        precededByCasedLetter = UCharacter.hasBinaryProperty(codepoint, 
UProperty.CASED);
+      }
+      offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    }
+    return sb.build();
+  }
+
+  private static void appendTitleCasedCodepoint(
+      UTF8StringBuilder sb,
+      int codepoint,
+      boolean isAfterAsciiSpace,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    if(isAfterAsciiSpace) {
+      // Titlecasing a character if it is in the beginning of a new word.
+      appendCodepointToTitleCase(sb, codepoint);
+      return;
+    }
+    if(codepoint == CAPITAL_SIGMA) {
+      // Handling capital Greek letter sigma ('Σ').
+      appendLowerCasedGreekCapitalSigma(sb, precededByCasedLetter, target, 
offset);
+      return;
+    }
+    // If it's not the beginning of a word, or a capital Greek letter sigma 
('Σ'), we lowercase the
+    // character. We specially handle 'CAPITAL_I_WITH_DOT_ABOVE'.
+    if (codepoint == CAPITAL_I_WITH_DOT_ABOVE) {
+      sb.appendCodePoint(LOWERCASE_I);
+      sb.appendCodePoint(DOT_ABOVE);
+      return;
+    }
+    sb.appendCodePoint(UCharacter.toLowerCase(codepoint));
+  }
+
+  private static void appendLowerCasedGreekCapitalSigma(
+      UTF8StringBuilder sb,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    int codepoint;
+    if (!followedByCasedLetter(target,offset) && precededByCasedLetter) {
+      codepoint = SMALL_FINAL_SIGMA;
+    }
+    else {
+      codepoint = SMALL_NON_FINAL_SIGMA;
+    }

Review Comment:
   ```suggestion
       int codepoint;
       if (!followedByCasedLetter(target, offset) && precededByCasedLetter) {
         codepoint = SMALL_FINAL_SIGMA;
       } else {
         codepoint = SMALL_NON_FINAL_SIGMA;
       }
   ```
   Coding style. Please notice the space I added after the comma when calling 
`followedByCasedLetter`.



##########
common/unsafe/src/test/java/org/apache/spark/unsafe/types/CollationSupportSuite.java:
##########
@@ -1042,23 +1069,24 @@ public void testInitCap() throws SparkException {
     assertInitCap("𝔸", "UTF8_LCASE", "𝔸");
     assertInitCap("𝔸", "UNICODE", "𝔸");
     assertInitCap("𝔸", "UNICODE_CI", "𝔸");
-    assertInitCap("𐐅", "UTF8_BINARY", "𐐭");
+    assertInitCap("𐐅", "UTF8_BINARY", "\uD801\uDC05","𐐭");

Review Comment:
   ```suggestion
       assertInitCap("𐐅", "UTF8_BINARY", "\uD801\uDC05", "𐐭");
   ```



##########
common/unsafe/src/main/java/org/apache/spark/unsafe/UTF8StringBuilder.java:
##########
@@ -93,7 +93,38 @@ public void appendBytes(Object base, long offset, int 
length) {
     cursor += length;
   }
 
+  public void appendByte(byte singleByte) {

Review Comment:
   Does this need to be a public method? Looks like we only use it below.
   
   In a different direction: below we grow the buffer with either 1, 2, 3, or 4 
bytes. In each case we call the `grow` method 1, 2, 3, or 4 times respectively. 
Does it make sense to have four different overloads each taking as inputs 1, 2, 
3, or 4 bytes and do the growing once with the correct value?



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {
+      // We will actually call 'codePointFrom()' 2 times for each character in 
the worst case (once
+      // here, and once in 'followedByCasedLetter'). Example of a string where 
we call it 2 times
+      // for almost every character is 'ΣΣΣΣΣ' (a string consisting only of 
Greek capital sigma)
+      // and 'Σ`````' (a string consisting of a Greek capital sigma, followed 
by case-ignorable
+      // characters).
+      int codepoint = target.codePointFrom(offset);
+      // Appending the correctly cased character onto 'sb'.
+      appendTitleCasedCodepoint(sb, codepoint, newWord, precededByCasedLetter, 
target, offset);
+      // Updating 'newWord', 'precededByCasedLetter' and 'offset' to be ready 
for the next character
+      // that we will process.
+      newWord = (codepoint == ASCII_SPACE_CODEPOINT);
+      if(!UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {
+        precededByCasedLetter = UCharacter.hasBinaryProperty(codepoint, 
UProperty.CASED);
+      }
+      offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    }
+    return sb.build();
+  }
+
+  private static void appendTitleCasedCodepoint(
+      UTF8StringBuilder sb,
+      int codepoint,
+      boolean isAfterAsciiSpace,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    if(isAfterAsciiSpace) {
+      // Titlecasing a character if it is in the beginning of a new word.
+      appendCodepointToTitleCase(sb, codepoint);
+      return;
+    }
+    if(codepoint == CAPITAL_SIGMA) {
+      // Handling capital Greek letter sigma ('Σ').
+      appendLowerCasedGreekCapitalSigma(sb, precededByCasedLetter, target, 
offset);
+      return;
+    }
+    // If it's not the beginning of a word, or a capital Greek letter sigma 
('Σ'), we lowercase the
+    // character. We specially handle 'CAPITAL_I_WITH_DOT_ABOVE'.
+    if (codepoint == CAPITAL_I_WITH_DOT_ABOVE) {
+      sb.appendCodePoint(LOWERCASE_I);
+      sb.appendCodePoint(DOT_ABOVE);
+      return;
+    }
+    sb.appendCodePoint(UCharacter.toLowerCase(codepoint));
+  }
+
+  private static void appendLowerCasedGreekCapitalSigma(
+      UTF8StringBuilder sb,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    int codepoint;
+    if (!followedByCasedLetter(target,offset) && precededByCasedLetter) {
+      codepoint = SMALL_FINAL_SIGMA;
+    }
+    else {
+      codepoint = SMALL_NON_FINAL_SIGMA;
+    }
+    sb.appendCodePoint(codepoint);
+  }
+
+  /**
+   * Checks if the character beginning at 'offset'(in 'targets' byte array) is 
followed by a cased
+   * letter.
+   */
+  private static boolean followedByCasedLetter(UTF8String target, int offset) {
+    // Moving the offset one character forward, so we could start the linear 
search from there.
+    offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    int len = target.numBytes();
+
+    while(offset < len) {
+      int codepoint = target.codePointFrom(offset);
+
+      if(UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {
+        offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+        continue;
+      }
+      return UCharacter.hasBinaryProperty(codepoint, UProperty.CASED);
+    }
+    return false;
+  }
+
+  /**
+   * Appends titlecase of a single character to a 'StringBuilder' using the 
ICU root locale rules.
+   */
+  private static void appendCodepointToTitleCase(UTF8StringBuilder sb, int 
codepoint) {
+    String toTitleCase = 
codepointOneToManyTitleCasePrecalculation.get(codepoint);
+    if(toTitleCase == null) {

Review Comment:
   ```suggestion
       if (toTitleCase == null) {
   ```



##########
common/unsafe/src/main/java/org/apache/spark/unsafe/UTF8StringBuilder.java:
##########
@@ -93,7 +93,38 @@ public void appendBytes(Object base, long offset, int 
length) {
     cursor += length;
   }
 
+  public void appendByte(byte singleByte) {
+    grow(1);
+    buffer[cursor - Platform.BYTE_ARRAY_OFFSET] = singleByte;
+    cursor++;
+  }
+
   public UTF8String build() {
     return UTF8String.fromBytes(buffer, 0, totalSize());
   }
+
+  public void appendCodePoint(int codePoint) {
+    if (codePoint <= 0x7F) {
+      appendByte((byte) codePoint);
+    }
+    else if (codePoint <= 0x7FF) {
+      appendByte((byte) (0xC0 | (codePoint >> 6)));
+      appendByte((byte) (0x80 | (codePoint & 0x3F)));
+    }
+    else if (codePoint <= 0xFFFF) {
+      appendByte((byte) (0xE0 | (codePoint >> 12)));
+      appendByte((byte) (0x80 | ((codePoint >> 6) & 0x3F)));
+      appendByte((byte) (0x80 | (codePoint & 0x3F)));
+    }
+    else if (codePoint <= 0x10FFFF) {
+      appendByte((byte) (0xF0 | (codePoint >> 18)));
+      appendByte((byte) (0x80 | ((codePoint >> 12) & 0x3F)));
+      appendByte((byte) (0x80 | ((codePoint >> 6) & 0x3F)));
+      appendByte((byte) (0x80 | (codePoint & 0x3F)));
+    }
+    else {
+      throw new IllegalArgumentException("Invalid Unicode codePoint: " + 
codePoint);
+    }

Review Comment:
   ```suggestion
       if (codePoint <= 0x7F) {
         appendByte((byte) codePoint);
       } else if (codePoint <= 0x7FF) {
         appendByte((byte) (0xC0 | (codePoint >> 6)));
         appendByte((byte) (0x80 | (codePoint & 0x3F)));
       } else if (codePoint <= 0xFFFF) {
         appendByte((byte) (0xE0 | (codePoint >> 12)));
         appendByte((byte) (0x80 | ((codePoint >> 6) & 0x3F)));
         appendByte((byte) (0x80 | (codePoint & 0x3F)));
       } else if (codePoint <= 0x10FFFF) {
         appendByte((byte) (0xF0 | (codePoint >> 18)));
         appendByte((byte) (0x80 | ((codePoint >> 12) & 0x3F)));
         appendByte((byte) (0x80 | ((codePoint >> 6) & 0x3F)));
         appendByte((byte) (0x80 | (codePoint & 0x3F)));
       } else {
         throw new IllegalArgumentException("Invalid Unicode codePoint: " + 
codePoint);
       }
   ```
   Is there possibly some Java functionality for doing this, or ICU 
functionality for doing this, so we don't have to do it ourselves here?



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {
+      // We will actually call 'codePointFrom()' 2 times for each character in 
the worst case (once
+      // here, and once in 'followedByCasedLetter'). Example of a string where 
we call it 2 times
+      // for almost every character is 'ΣΣΣΣΣ' (a string consisting only of 
Greek capital sigma)
+      // and 'Σ`````' (a string consisting of a Greek capital sigma, followed 
by case-ignorable
+      // characters).
+      int codepoint = target.codePointFrom(offset);
+      // Appending the correctly cased character onto 'sb'.
+      appendTitleCasedCodepoint(sb, codepoint, newWord, precededByCasedLetter, 
target, offset);
+      // Updating 'newWord', 'precededByCasedLetter' and 'offset' to be ready 
for the next character
+      // that we will process.
+      newWord = (codepoint == ASCII_SPACE_CODEPOINT);
+      if(!UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {
+        precededByCasedLetter = UCharacter.hasBinaryProperty(codepoint, 
UProperty.CASED);
+      }
+      offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    }
+    return sb.build();
+  }
+
+  private static void appendTitleCasedCodepoint(
+      UTF8StringBuilder sb,
+      int codepoint,
+      boolean isAfterAsciiSpace,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    if(isAfterAsciiSpace) {
+      // Titlecasing a character if it is in the beginning of a new word.
+      appendCodepointToTitleCase(sb, codepoint);
+      return;
+    }
+    if(codepoint == CAPITAL_SIGMA) {

Review Comment:
   ```suggestion
       if (codepoint == CAPITAL_SIGMA) {
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {

Review Comment:
   I believe our coding style asks to have a space between `while` and the 
parenthesis.



##########
common/unsafe/src/test/java/org/apache/spark/unsafe/types/UTF8StringSuite.java:
##########
@@ -1362,4 +1364,18 @@ public void toBinaryString() {
       
UTF8String.fromString("111111111111111111111111111111111111111111111111111111111111111"),
       UTF8String.toBinaryString(Long.MAX_VALUE));
   }
+
+  @Test
+  public void testAppendCodepointToUTF8StringBuilder() {

Review Comment:
   Could you please add a comment regarding what this test is actually testing?



##########
common/unsafe/src/main/java/org/apache/spark/unsafe/UTF8StringBuilder.java:
##########
@@ -93,7 +93,38 @@ public void appendBytes(Object base, long offset, int 
length) {
     cursor += length;
   }
 
+  public void appendByte(byte singleByte) {
+    grow(1);
+    buffer[cursor - Platform.BYTE_ARRAY_OFFSET] = singleByte;
+    cursor++;

Review Comment:
   ```suggestion
       ++cursor;
   ```



##########
common/unsafe/src/test/java/org/apache/spark/unsafe/types/CollationSupportSuite.java:
##########
@@ -1000,20 +1017,30 @@ public void testInitCap() throws SparkException {
     assertInitCap("ÄBĆΔE", "UTF8_LCASE", "Äbćδe");
     assertInitCap("ÄBĆΔE", "UNICODE", "Äbćδe");
     assertInitCap("ÄBĆΔE", "UNICODE_CI", "Äbćδe");
+    // Case-variable character length
+    assertInitCap("İo", "UTF8_BINARY", "İo","I\u0307o");

Review Comment:
   ```suggestion
       assertInitCap("İo", "UTF8_BINARY", "İo", "I\u0307o");
   ```



##########
common/unsafe/src/main/java/org/apache/spark/sql/catalyst/util/CollationAwareUTF8String.java:
##########
@@ -550,6 +558,197 @@ public static UTF8String toTitleCase(final UTF8String 
target, final int collatio
       BreakIterator.getWordInstance(locale)));
   }
 
+  /**
+   * This 'HashMap' is introduced as a performance speedup. Since titlecasing 
a codepoint can result
+   * in more than a single codepoint, for correctness, we would use 
'UCharacter.toTitleCase(String)'
+   * which returns a 'String'. If we use 'UCharacter.toTitleCase(int)' (the 
version of the same
+   * function which converts a single codepoint to its titlecase codepoint), 
it would be faster than
+   * the previously mentioned version, but the problem here is that we don't 
handle when titlecasing
+   * a codepoint yields more than 1 codepoint. Since there are only 48 
codepoints that are mapped to
+   * more than 1 codepoint when titlecased, they are precalculated here, so 
that the faster function
+   * for titlecasing could be used in combination with this 'HashMap' in the 
method
+   * 'appendCodepointToTitleCase'.
+   */
+  private static final HashMap<Integer, String> 
codepointOneToManyTitleCasePrecalculation =
+    new HashMap<>(){{
+    put(223, "Ss");
+    put(329, "ʼN");
+    put(496, "J̌");
+    put(912, "Ϊ́");
+    put(944, "Ϋ́");
+    put(1415, "Եւ");
+    put(7830, "H̱");
+    put(7831, "T̈");
+    put(7832, "W̊");
+    put(7833, "Y̊");
+    put(7834, "Aʾ");
+    put(8016, "Υ̓");
+    put(8018, "Υ̓̀");
+    put(8020, "Υ̓́");
+    put(8022, "Υ̓͂");
+    put(8114, "Ὰͅ");
+    put(8116, "Άͅ");
+    put(8118, "Α͂");
+    put(8119, "ᾼ͂");
+    put(8130, "Ὴͅ");
+    put(8132, "Ήͅ");
+    put(8134, "Η͂");
+    put(8135, "ῌ͂");
+    put(8146, "Ϊ̀");
+    put(8147, "Ϊ́");
+    put(8150, "Ι͂");
+    put(8151, "Ϊ͂");
+    put(8162, "Ϋ̀");
+    put(8163, "Ϋ́");
+    put(8164, "Ρ̓");
+    put(8166, "Υ͂");
+    put(8167, "Ϋ͂");
+    put(8178, "Ὼͅ");
+    put(8180, "Ώͅ");
+    put(8182, "Ω͂");
+    put(8183, "ῼ͂");
+    put(64256, "Ff");
+    put(64257, "Fi");
+    put(64258, "Fl");
+    put(64259, "Ffi");
+    put(64260, "Ffl");
+    put(64261, "St");
+    put(64262, "St");
+    put(64275, "Մն");
+    put(64276, "Մե");
+    put(64277, "Մի");
+    put(64278, "Վն");
+    put(64279, "Մխ");
+  }};
+
+  /**
+   * Title casing a string according to a new behaviour. Iterates over the 
string and title cases
+   * the first character in each word, and lowercases every other character. 
Handles lowercasing
+   * capital Greek letter sigma ('Σ') separately, taking into account if it 
should be a small final
+   * Greek sigma ('ς') or small non-final Greek sigma ('σ'). Words are 
separated by ASCII
+   * space(\u0020).
+   *
+   * @param target UTF8String to be title cased
+   * @return title cased target
+   */
+  public static UTF8String toTitleCaseICU(UTF8String target) {
+
+    // In the default UTF8String implementation, `toLowerCase` method 
implicitly does UTF8String
+    // validation (replacing invalid UTF-8 byte sequences with Unicode 
replacement character
+    // U+FFFD), but now we have to do the validation manually.
+    target = target.makeValid();
+
+    // Building the title cased target with 'sb'.
+    UTF8StringBuilder sb = new UTF8StringBuilder();
+
+    // 'newWord' is true if the current character is the beginning of a word, 
false otherwise.
+    boolean newWord = true;
+    // We are maintaining if the current character is preceded by a cased 
letter.
+    // This is used when lowercasing capital Greek letter sigma ('Σ'), to 
figure out if it should be
+    // lowercased into σ or ς.
+    boolean precededByCasedLetter = false;
+
+    // 'offset' is a byte offset in target's byte array pointing to the 
beginning of the character
+    // that we need to process next.
+    int offset = 0;
+    int len = target.numBytes();
+
+    while(offset < len) {
+      // We will actually call 'codePointFrom()' 2 times for each character in 
the worst case (once
+      // here, and once in 'followedByCasedLetter'). Example of a string where 
we call it 2 times
+      // for almost every character is 'ΣΣΣΣΣ' (a string consisting only of 
Greek capital sigma)
+      // and 'Σ`````' (a string consisting of a Greek capital sigma, followed 
by case-ignorable
+      // characters).
+      int codepoint = target.codePointFrom(offset);
+      // Appending the correctly cased character onto 'sb'.
+      appendTitleCasedCodepoint(sb, codepoint, newWord, precededByCasedLetter, 
target, offset);
+      // Updating 'newWord', 'precededByCasedLetter' and 'offset' to be ready 
for the next character
+      // that we will process.
+      newWord = (codepoint == ASCII_SPACE_CODEPOINT);
+      if(!UCharacter.hasBinaryProperty(codepoint, UProperty.CASE_IGNORABLE)) {
+        precededByCasedLetter = UCharacter.hasBinaryProperty(codepoint, 
UProperty.CASED);
+      }
+      offset += UTF8String.numBytesForFirstByte(target.getByte(offset));
+    }
+    return sb.build();
+  }
+
+  private static void appendTitleCasedCodepoint(
+      UTF8StringBuilder sb,
+      int codepoint,
+      boolean isAfterAsciiSpace,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    if(isAfterAsciiSpace) {
+      // Titlecasing a character if it is in the beginning of a new word.
+      appendCodepointToTitleCase(sb, codepoint);
+      return;
+    }
+    if(codepoint == CAPITAL_SIGMA) {
+      // Handling capital Greek letter sigma ('Σ').
+      appendLowerCasedGreekCapitalSigma(sb, precededByCasedLetter, target, 
offset);
+      return;
+    }
+    // If it's not the beginning of a word, or a capital Greek letter sigma 
('Σ'), we lowercase the
+    // character. We specially handle 'CAPITAL_I_WITH_DOT_ABOVE'.
+    if (codepoint == CAPITAL_I_WITH_DOT_ABOVE) {
+      sb.appendCodePoint(LOWERCASE_I);
+      sb.appendCodePoint(DOT_ABOVE);
+      return;
+    }
+    sb.appendCodePoint(UCharacter.toLowerCase(codepoint));
+  }
+
+  private static void appendLowerCasedGreekCapitalSigma(
+      UTF8StringBuilder sb,
+      boolean precededByCasedLetter,
+      UTF8String target,
+      int offset) {
+    int codepoint;
+    if (!followedByCasedLetter(target,offset) && precededByCasedLetter) {
+      codepoint = SMALL_FINAL_SIGMA;
+    }
+    else {
+      codepoint = SMALL_NON_FINAL_SIGMA;
+    }

Review Comment:
   Alternatively:
   ```java
     int codepoint = (!followedByCasedLetter(target, offset) && 
precededByCasedLetter) ? GREEK_FINAL_SIGMA : GREEK_SMALL_SIGMA;



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