Delete paired > after deleting < after any identifier, not just a class-like one

#KT-13279 Fixed

idea/src/org/jetbrains/kotlin/idea/editor/KotlinBackspaceHandler.java

@@ -19,15 +19,20 @@ package org.jetbrains.kotlin.idea.editor;
 import com.intellij.codeInsight.editorActions.BackspaceHandlerDelegate;
 import com.intellij.openapi.editor.Editor;
 import com.intellij.psi.PsiFile;
+import org.jetbrains.kotlin.lexer.KtTokens;
 import org.jetbrains.kotlin.psi.KtFile;
 
+import static org.jetbrains.kotlin.idea.editor.LtGtTypingUtils.isAfterToken;
+
 public class KotlinBackspaceHandler extends BackspaceHandlerDelegate {
     private boolean deleteGt;
 
     @Override
     public void beforeCharDeleted(char c, PsiFile file, Editor editor) {
         int offset = editor.getCaretModel().getOffset() - 1;
-        deleteGt = c =='<' && file instanceof KtFile && LtGtTypingUtils.shouldAutoCloseAngleBracket(offset, editor);
+        deleteGt = c =='<' && file instanceof KtFile &&
+                   (isAfterToken(offset, editor, KtTokens.FUN_KEYWORD) ||
+                    isAfterToken(offset, editor, KtTokens.IDENTIFIER));
     }
 
     @Override

idea/src/org/jetbrains/kotlin/idea/editor/LtGtTypingUtils.java

@@ -22,6 +22,7 @@ import com.intellij.openapi.editor.Editor;
 import com.intellij.openapi.editor.ex.EditorEx;
 import com.intellij.openapi.editor.highlighter.HighlighterIterator;
 import com.intellij.psi.tree.TokenSet;
+import org.jetbrains.kotlin.lexer.KtToken;
 import org.jetbrains.kotlin.lexer.KtTokens;
 
 final class LtGtTypingUtils {
@@ -43,7 +44,7 @@ final class LtGtTypingUtils {
     }
 
     static boolean shouldAutoCloseAngleBracket(int offset, Editor editor) {
-        return isAfterClassIdentifier(offset, editor) || isAfterFunKeyword(offset, editor);
+        return isAfterClassIdentifier(offset, editor) || isAfterToken(offset, editor, KtTokens.FUN_KEYWORD);
     }
 
     private static boolean isAfterClassIdentifier(int offset, Editor editor) {
@@ -59,7 +60,7 @@ final class LtGtTypingUtils {
         return JavaTypedHandler.isClassLikeIdentifier(offset, editor, iterator, KtTokens.IDENTIFIER);
     }
 
-    private static boolean isAfterFunKeyword(int offset, Editor editor) {
+    static boolean isAfterToken(int offset, Editor editor, KtToken tokenType) {
         HighlighterIterator iterator = ((EditorEx) editor).getHighlighter().createIterator(offset);
         if (iterator.atEnd()) {
             return false;
@@ -73,6 +74,6 @@ final class LtGtTypingUtils {
             iterator.retreat();
         }
 
-        return iterator.getTokenType() == KtTokens.FUN_KEYWORD;
+        return iterator.getTokenType() == tokenType;
     }
 }

idea/testData/editor/backspaceHandler/typeArguments.kt

@@ -0,0 +1 @@
+val f = ContainerUtil.newArrayList<<caret>>()

idea/testData/editor/backspaceHandler/typeArguments.kt.after

@@ -0,0 +1 @@
+val f = ContainerUtil.newArrayList<caret>()

idea/tests/org/jetbrains/kotlin/idea/editor/backspaceHandler/BackspaceHandlerTestGenerated.java

@@ -36,6 +36,12 @@ public class BackspaceHandlerTestGenerated extends AbstractBackspaceHandlerTest
         KotlinTestUtils.assertAllTestsPresentByMetadata(this.getClass(), new File("idea/testData/editor/backspaceHandler"), Pattern.compile("^(.+)\\.kt$"), TargetBackend.ANY, true);
     }
 
+    @TestMetadata("typeArguments.kt")
+    public void testTypeArguments() throws Exception {
+        String fileName = KotlinTestUtils.navigationMetadata("idea/testData/editor/backspaceHandler/typeArguments.kt");
+        doTest(fileName);
+    }
+
     @TestMetadata("idea/testData/editor/backspaceHandler/stringTemplate")
     @TestDataPath("$PROJECT_ROOT")
     @RunWith(JUnit3RunnerWithInners.class)