ICU-23274 Fix 1987 Leap Month 6 vs 7 boundary bug and add Y.T. Liu verification suite across 5,301 years in chinesecalendar.txt

- Add 1,040 data-driven verification test cases in chinesecalendar.txt (covering 1645-1901 CE, 2101-2500 CE, and 10% sampled mismatches in 3000 BCE-1644 CE) using EXTENDED_YEAR notation.
- Implement kNewMoonCorrections / NEW_MOON_CORRECTIONS binary search table and bidirectional boundary check in newMoonNear in C++ (chnsecal.cpp) and Java (ChineseCalendar.java).
- Add HKO PDF reference comments and notes for 2057/2097.
- Verify 100% test pass in C++ and Java exhaustive test suites.

Author: FrankYFTang

icu4c/source/i18n/chnsecal.cpp

@@ -38,6 +38,17 @@ DataDrivenCalendarTest::~DataDrivenCalendarTest() {
     delete driver;
 }
 
+DataDrivenCalendarTest::DataDrivenCalendarTest(const char* bundleName) {
+    UErrorCode status = U_ZERO_ERROR;
+    driver = TestDataModule::getTestDataModule(bundleName, *this, status);
+}
+
+DataDrivenChineseCalendarTest::DataDrivenChineseCalendarTest() : DataDrivenCalendarTest("chinesecalendar") {
+}
+
+DataDrivenChineseCalendarTest::~DataDrivenChineseCalendarTest() {
+}
+
 void DataDrivenCalendarTest::runIndexedTest(int32_t index, UBool exec,
         const char* &name, char* /*par */) {
     if (driver != nullptr) {
@@ -393,6 +404,9 @@ void DataDrivenCalendarTest::testConvert(TestData *testData,
     int n = 0;
     while (testData->nextCase(currentCase, status)) {
         ++n;
+        if (quick && strcmp(testData->getName(), "TestChineseCalendar") == 0 && (n % 33) != 1) {
+            continue;
+        }
         LocalPointer<Calendar> fromCalendar;
         UnicodeString locale = currentCase->getString("locale", status);
         if (U_SUCCESS(status)) {

icu4c/source/test/intltest/dadrcal.cpp

@@ -45,10 +45,17 @@ class DataDrivenCalendarTest : public IntlTest {
 	void testConvert(int32_t n, const CalendarFieldsSet &fromSet,
 			Calendar *fromCal, const CalendarFieldsSet &toSet, Calendar *toCal,
 			UBool fwd);
-private:
+protected:
+	DataDrivenCalendarTest(const char* bundleName);
 	TestDataModule *driver;
 };
 
+class DataDrivenChineseCalendarTest : public DataDrivenCalendarTest {
+public:
+	DataDrivenChineseCalendarTest();
+	virtual ~DataDrivenChineseCalendarTest();
+};
+
 #endif /* #if !UCONFIG_NO_COLLATION */
 
 #endif

icu4c/source/test/intltest/dadrcal.h

@@ -292,6 +292,9 @@ void IntlTestFormat::runIndexedTest( int32_t index, UBool exec, const char* &nam
 #if !UCONFIG_NO_MF2
         TESTCLASS(60,TestMessageFormat2);
 #endif
+#endif
+#if !UCONFIG_NO_FILE_IO && !UCONFIG_NO_LEGACY_CONVERSION
+        TESTCLASS(61,DataDrivenChineseCalendarTest);
 #endif
         default: name = ""; break; //needed to end loop
     }

icu4c/source/test/intltest/itformat.cpp

@@ -28,6 +28,7 @@ def generate(config, io, common_vars):
 def generate_rb(config, io, common_vars):
     basenames = [
         "calendar",
+        "chinesecalendar",
         "casing",
         "conversion",
         "format",