englefly commented on code in PR #69322:
URL: https://github.com/apache/doris/pull/69322#discussion_r4335845068


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fe/fe-core/src/main/java/org/apache/doris/nereids/stats/GroupStructInfo.java:
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@@ -0,0 +1,3038 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+
+package org.apache.doris.nereids.stats;
+
+import org.apache.doris.catalog.TableIf;
+import org.apache.doris.nereids.memo.Group;
+import org.apache.doris.nereids.memo.GroupExpression;
+import org.apache.doris.nereids.properties.OrderKey;
+import org.apache.doris.nereids.trees.expressions.Alias;
+import org.apache.doris.nereids.trees.expressions.And;
+import org.apache.doris.nereids.trees.expressions.ArrayItemReference;
+import org.apache.doris.nereids.trees.expressions.EqualTo;
+import org.apache.doris.nereids.trees.expressions.ExprId;
+import org.apache.doris.nereids.trees.expressions.Expression;
+import org.apache.doris.nereids.trees.expressions.Match;
+import org.apache.doris.nereids.trees.expressions.NamedExpression;
+import org.apache.doris.nereids.trees.expressions.NullSafeEqual;
+import org.apache.doris.nereids.trees.expressions.Or;
+import org.apache.doris.nereids.trees.expressions.OrderExpression;
+import org.apache.doris.nereids.trees.expressions.SearchExpression;
+import org.apache.doris.nereids.trees.expressions.Slot;
+import org.apache.doris.nereids.trees.expressions.SlotReference;
+import org.apache.doris.nereids.trees.expressions.WindowExpression;
+import org.apache.doris.nereids.trees.expressions.functions.Function;
+import org.apache.doris.nereids.trees.expressions.functions.Udf;
+import 
org.apache.doris.nereids.trees.expressions.functions.agg.AggregateFunction;
+import org.apache.doris.nereids.trees.expressions.functions.scalar.Lambda;
+import org.apache.doris.nereids.trees.expressions.literal.ArrayLiteral;
+import org.apache.doris.nereids.trees.expressions.literal.DateLiteral;
+import org.apache.doris.nereids.trees.expressions.literal.Literal;
+import org.apache.doris.nereids.trees.expressions.literal.NullLiteral;
+import org.apache.doris.nereids.trees.plans.AbstractPlan;
+import org.apache.doris.nereids.trees.plans.JoinType;
+import org.apache.doris.nereids.trees.plans.Plan;
+import org.apache.doris.nereids.trees.plans.algebra.Aggregate;
+import org.apache.doris.nereids.trees.plans.algebra.Except;
+import org.apache.doris.nereids.trees.plans.algebra.Filter;
+import org.apache.doris.nereids.trees.plans.algebra.Generate;
+import org.apache.doris.nereids.trees.plans.algebra.Intersect;
+import org.apache.doris.nereids.trees.plans.algebra.Join;
+import org.apache.doris.nereids.trees.plans.algebra.Limit;
+import org.apache.doris.nereids.trees.plans.algebra.OlapScan;
+import org.apache.doris.nereids.trees.plans.algebra.Project;
+import org.apache.doris.nereids.trees.plans.algebra.Repeat;
+import org.apache.doris.nereids.trees.plans.algebra.SetOperation;
+import org.apache.doris.nereids.trees.plans.algebra.Sort;
+import org.apache.doris.nereids.trees.plans.algebra.TopN;
+import org.apache.doris.nereids.trees.plans.algebra.Union;
+import org.apache.doris.nereids.trees.plans.algebra.Window;
+import org.apache.doris.nereids.trees.plans.logical.LogicalCTEAnchor;
+import org.apache.doris.nereids.trees.plans.logical.LogicalCTEConsumer;
+import org.apache.doris.nereids.trees.plans.logical.LogicalCTEProducer;
+import org.apache.doris.nereids.trees.plans.logical.LogicalFileScan;
+import org.apache.doris.nereids.trees.plans.logical.LogicalGenerate;
+import org.apache.doris.nereids.trees.plans.logical.LogicalOlapScan;
+import org.apache.doris.nereids.trees.plans.physical.PhysicalAssertNumRows;
+import org.apache.doris.nereids.trees.plans.physical.PhysicalCTEAnchor;
+import org.apache.doris.nereids.trees.plans.physical.PhysicalCTEConsumer;
+import org.apache.doris.nereids.trees.plans.physical.PhysicalCTEProducer;
+import org.apache.doris.nereids.trees.plans.physical.PhysicalDistribute;
+import org.apache.doris.nereids.trees.plans.physical.PhysicalFileScan;
+import org.apache.doris.nereids.trees.plans.physical.PhysicalGenerate;
+import org.apache.doris.nereids.trees.plans.physical.PhysicalHashAggregate;
+import 
org.apache.doris.nereids.trees.plans.physical.PhysicalStorageLayerAggregate;
+import org.apache.doris.nereids.util.MutableState;
+import org.apache.doris.qe.ConnectContext;
+
+import com.google.common.annotations.VisibleForTesting;
+import com.google.common.hash.Hashing;
+import org.apache.logging.log4j.LogManager;
+import org.apache.logging.log4j.Logger;
+
+import java.time.ZoneId;
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.Collection;
+import java.util.Collections;
+import java.util.Comparator;
+import java.util.HashSet;
+import java.util.LinkedHashMap;
+import java.util.List;
+import java.util.Locale;
+import java.util.Map;
+import java.util.Optional;
+import java.util.Set;
+import java.util.TreeSet;
+import java.util.concurrent.atomic.AtomicInteger;
+
+/**
+ * Simplified struct info of a memo {@link Group}, used by History Based 
Optimization (HBO).
+ *
+ * <p>The struct info is a property of the <b>group</b>, not of one of its 
group expressions: all
+ * expressions of a group are logically equivalent, so they describe the same 
set of relations with
+ * the same predicates, and the canonical form below is deliberately 
insensitive to which expression
+ * is picked.
+ * <ul>
+ *   <li>join commutativity: children of a join are canonicalized by 
sorting;</li>
+ *   <li>join associativity: a whole inner / cross join chain is emitted as 
one node
+ *       ({@code J{inner,c:[...]}(...;...)}) whose children are the chain 
leaves sorted by their
+ *       canonical form and whose conditions are the sorted union of every 
condition of the chain,
+ *       so {@code (A join B) join C} and {@code A join (B join C)} produce 
the same descriptor;</li>
+ *   <li>aggregation: only the group by keys and the child participate, 
because the output row count
+ *       of an aggregation is the number of groups and cannot be changed by 
the aggregate functions
+ *       or by the output expressions;</li>
+ *   <li>project is transparent for structure matching.</li>
+ * </ul>
+ * This mirrors what the MV oriented {@code rules.exploration.mv.StructInfo} 
does (it identifies a
+ * sub tree by its relation set and by level independent - shuttled - 
predicates), with every MV
+ * specific field dropped: no hyper graph, no shuttle map, no equivalence 
class, no lineage.
+ *
+ * <p>What the canonical form keeps:
+ * <ul>
+ *   <li>for each scan: the table qualifier and - as an annotation only - the 
data state of the scan
+ *       (its visible version, the rows it reads and how many of the table 
partitions it selects,
+ *       see {@link HboScanDescriptor});</li>
+ *   <li>for filter / join / aggregate: the normalized predicates / join 
conditions / grouping keys,
+ *       i.e. the structural pattern only (slot and expression ids are 
stripped by
+ *       {@link #normalizeExpression}).</li>
+ * </ul>
+ * The string contains no per-query identifier, so it is reproducible across 
runs and queries for
+ * structurally identical sub trees, and its sha256 is used as the HBO cache 
key (fingerprint).
+ *
+ * <p>The sha256 is taken over the canonical string <b>without</b> the scan 
baselines
+ * ({@link #stripScanBaseline}): a hbo key identifies a plan pattern and the 
relation it reads, not a
+ * data state, so an entry whose table simply keeps growing stays matchable 
instead of silently never
+ * matching again. Whether an entry may still be applied is decided on the 
read side, by comparing
+ * the baseline of the entry with the data state of the current query (see
+ * {@link HboStructFreshness}).
+ *
+ * <p>The descriptor is derived from the group's logical expression and its 
child groups (memo level
+ * traversal, with a visited set to guard shared sub graphs such as CTE). 
Groups whose content is not
+ * supported (e.g. contains TVF / CTE consumer, or the head operator is not 
one of the supported
+ * kinds) are {@link #isValid() invalid} and callers must fall back to the 
legacy behavior.
+ *
+ * <p>This description is always built by the FE from the plan it is looking 
at, and every string it can
+ * produce is one of its renderings: {@link #getCanonical(LiteralMode)} is the 
text EXPLAIN prints and a
+ * user may paste into {@code HBO SET STATISTICS ... STRUCT='...'}, {@link 
#getShape(LiteralMode)} is the
+ * same text without the data state of the scans, and {@link 
#getFingerprint(LiteralMode)} is the sha256
+ * of that shape. Nothing is ever parsed to produce a fingerprint - in 
particular the text a user pasted
+ * is only compared with the fingerprint next to it, never taken as its source.
+ */
+public class GroupStructInfo {
+    /**
+     * The default of {@code hbo_max_scans_per_group}, used when no session is 
available. 20 keeps
+     * every TPC-DS shape observed in this repository (the largest single sub 
tree is query64's
+     * 19 scan join group) while refusing trees which are pathologically wide.
+     */
+    public static final int DEFAULT_MAX_SCANS_PER_GROUP = 20;
+    /**
+     * Snapshot value which marks a plan node that is deliberately excluded 
from the hbo
+     * fingerprint (its group is unsupported, e.g. a sort / topn). It is not a 
fingerprint and is
+     * never hashed: the publish path uses it to tell an expected gap from a 
lost snapshot. A
+     * concurrent map can not store a null marker, so an empty string is used.
+     */
+    public static final String UNSUPPORTED_FINGERPRINT = "";
+
+    /**
+     * The prefix of the reason a node whose kind the description does not 
support is reported with, and
+     * the two halves of the reason a node with an unsupported number of 
children is reported with. They
+     * are constants so that the corpus can bind the frozen skip texts to the 
formula which produces them
+     * instead of restating the prefix.
+     */
+    static final String UNSUPPORTED_REASON_PREFIX = "unsupported=";
+    static final String ARITY_REASON_PREFIX = "arity=";
+    static final String ARITY_REASON_MIDDLE = " of ";
+
+    private static final List<HboScanDescriptor> INVALID_SCANS = 
Collections.emptyList();
+
+    /**
+     * Characters which structure the canonical form and therefore can not 
appear raw inside a
+     * literal value (see {@link #encodeLiteralValue}).
+     */
+    private static final String RESERVED_LITERAL_CHARS = "\u0000\\%(){}[],;:|";
+
+    private static final char[] HEX_DIGITS = "0123456789ABCDEF".toCharArray();
+
+    /**
+     * How many groups this query described. A group is described once: the 
description is memoized on
+     * the group and composed by its parents, so this number only grows when a 
new group is reached.
+     */
+    private static final AtomicInteger describedGroupCount = new 
AtomicInteger();
+
+    /**
+     * How many descriptions were walked while materializing a string. A 
description whose string is
+     * already materialized is copied instead of being walked again, so this 
number does not grow for
+     * the sub tree of an already materialized child.
+     */
+    private static final AtomicInteger materializedGroupCount = new 
AtomicInteger();
+
+    /** Shared invalid instance: the group content is not supported by the 
simplified struct info. */
+    public static final GroupStructInfo INVALID = new GroupStructInfo(false, 
"", null, INVALID_SCANS);
+
+    private static final String SEP = ";";
+
+    /**
+     * The header letters whose arguments are part of the identity of their 
node (see
+     * {@link Kind#literalsAreIdentity()}): the fold of a pasted struct info 
copies those headers verbatim,
+     * because folding one of their literals would make the sha256 of the text 
differ from the fingerprint
+     * EXPLAIN printed. The set is derived from the kinds which render the 
text, so a kind whose literals
+     * stop being identity cannot be forgotten here.
+     */
+    private static final String PROTECTED_HEADERS = protectedHeaders();
+
+    /**
+     * The markers of the headers whose condition collection is sorted per 
literal mode, i.e. the ones the
+     * fold of a pasted struct info has to re-sort after it folded their 
literals (see
+     * {@code recanonicalizeFoldedConditions}): a filter, an aggregation, a 
join (which also de-duplicates)
+     * and the grouping sets of a repeat.
+     */
+    private static final String[] CONDITION_HEADER_MARKERS = {"F{", "A{gb:", 
"J{", "R{gs:["};
+
+    /**
+     * The functions whose value depends on the session time zone although 
neither their arguments nor
+     * their result are a date: an epoch value is read in that zone ({@code 
hour_from_unixtime(t.ts) = 0}
+     * keeps 1000 rows in one session and 1 row in another although its 
argument is the same integer).
+     * A function whose argument or result is a date or a datetime is covered 
by its type instead (see
+     * {@link #usesSessionTimeZone}).
+     */
+    private static final List<String> EPOCH_TIME_ZONE_FUNCTIONS = 
Arrays.asList(
+            "hour_from_unixtime", "minute_from_unixtime", 
"second_from_unixtime",
+            "microsecond_from_unixtime", "unix_timestamp");
+
+    private static final String NO_LOOKUP_PATH_REASON =
+            "storage layer aggregate: the read side applies the row count of 
the aggregation above it";
+
+    private static final String PARTIAL_STAGE_REASON =
+            "local (partial) aggregation stage: the read side applies the row 
count of the final"
+                    + " aggregation above it";
+
+    private static final Logger LOG = 
LogManager.getLogger(GroupStructInfo.class);
+
+    /**
+     * Whether literal values participate in the canonical string / 
fingerprint.
+     * <ul>
+     *   <li>{@link #WITH_LITERAL} keeps the literal value ({@code 
lit(10:int)}): the fingerprint is
+     *       bound to the exact constants, used for filter roots where the 
constant changes the
+     *       output row count;</li>
+     *   <li>{@link #NO_LITERAL} replaces every literal value with {@code *} 
({@code lit(*)}): the
+     *       fingerprint is constant agnostic. It is the primary key of a 
scan, of a constant-free
+     *       filter shape and of the key the publish path generates for a join 
/ aggregate root; every
+     *       root which is annotated also carries a literal carrying form.</li>
+     * </ul>
+     * The literal data type is intentionally not kept: nereids inserts an 
explicit {@code Cast}
+     * for mismatching operand types, so two semantically different literal 
forms already differ by
+     * the cast node, while equivalent forms (e.g. {@code d > 1} and {@code d 
> 1.0} on a decimal
+     * column) are allowed to collapse.
+     */
+    public enum LiteralMode {
+        WITH_LITERAL,
+        NO_LITERAL
+    }
+
+    /**
+     * Whether the description could be built. It is invalid - and the memo 
caches that answer, so every
+     * node above the sub tree gets no fingerprint for the whole query - when 
one of the following holds
+     * for the sub tree it covers:
+     * <ul>
+     *   <li>it contains an operator the canonical form does not describe, 
which the annotation prints as
+     *       {@code unsupported=<Operator>}: a table valued function relation 
({@code numbers},
+     *       {@code s3}), an apply, a recursive union, a partition top-n, 
...;</li>
+     *   <li>it reads more scans than {@code hbo_max_scans_per_group}:
+     *       {@code subtree scans=N > hbo_max_scans_per_group=M};</li>
+     *   <li>a table name carries a struct info delimiter ({@code ,} or {@code 
}}), so the printed token
+     *       could not be read back: {@code delimiter in table name 
<table>};</li>
+     *   <li>the memo does not look like a canonical form can express it: a 
unary operator whose group
+     *       expression has another arity, a CTE consumer which has no memo 
edge to its producer, a
+     *       reused sub tree whose description is not available;</li>
+     *   <li>the data state of a scan cannot be read (an external table whose 
metadata is not available,
+     *       a cloud rpc failure): {@code no data state for <table> 
(<cause>)}.</li>
+     * </ul>
+     * A node whose group cannot be resolved at all is not described either, 
which the annotation reports
+     * as {@code no group for <Operator>}.
+     */
+    private final boolean valid;
+    /**
+     * The tree of this description: the information of its own group and the 
descriptions of the groups
+     * below it, all as objects. Nothing is rendered while it is built - 
{@link #render} is the one place
+     * which knows the grammar - and every node remembers the forms it has 
rendered, so a parent which is
+     * rendered later composes the text of a child instead of walking its sub 
tree again.
+     */
+    private final Node root;
+    /** The scans of the sub tree, in the order their tokens appear in the 
canonical string. */
+    private final List<HboScanDescriptor> scans;
+    /** Why no struct info was built, when it was refused by a limit instead 
of being unsupported. */
+    private final String skipReason;
+    // the forms materialized on first request: the read side only needs a 
fingerprint, while the
+    // explain annotation needs the canonical string, so building all of them 
up front would be wasted
+    private String canonicalWithLiteral;
+    private String canonicalNoLiteral;
+    private String shapeWithLiteral;
+    private String shapeNoLiteral;
+    private String fingerprintWithLiteral;
+    private String fingerprintNoLiteral;
+
+    private GroupStructInfo(boolean valid, String skipReason, Node root,
+            List<HboScanDescriptor> scans) {
+        this.valid = valid;
+        this.skipReason = skipReason;
+        this.root = root;
+        this.scans = scans;
+    }
+
+    private static GroupStructInfo ofNode(Node root) {
+        List<HboScanDescriptor> scans = new ArrayList<>();
+        collectScans(root, scans);
+        return new GroupStructInfo(true, "", root, 
Collections.unmodifiableList(scans));
+    }
+
+    private static GroupStructInfo invalidStructInfo(String skipReason) {
+        return skipReason.isEmpty()
+                ? INVALID
+                : new GroupStructInfo(false, skipReason, null, INVALID_SCANS);
+    }
+
+    private static String protectedHeaders() {
+        StringBuilder letters = new StringBuilder();
+        for (Kind kind : Kind.values()) {
+            if (kind.literalsAreIdentity()) {
+                letters.append(kind.headerLetters());
+            }
+        }
+        return letters.toString();
+    }
+
+    /** The reason the struct info was refused by a limit, or empty. Only for 
diagnostics. */
+    public String getSkipReason() {
+        return skipReason;
+    }
+
+    public boolean isValid() {
+        return valid;
+    }
+
+    /** The node this description is made of; null when the description is 
invalid. */
+    private Node root() {
+        return root;
+    }
+
+    /**
+     * The row count and partition selection of every scan of the sub tree, in 
the order the scan tokens
+     * appear in the canonical string (i.e. the order a user sees when pasting 
the struct info). A sub
+     * tree which the canonical string writes twice - a child which is 
referenced more than once - keeps
+     * its token in the text twice while its tables are read once, so its 
descriptors appear here once;
+     * a caller which compares this list with the tokens of a text has to 
expect that difference (the
+     * learned freshness comparison folds the tokens of a text per table for 
the same reason). Empty when
+     * the struct info is invalid.
+     */
+    public List<HboScanDescriptor> getScans() {
+        return scans;
+    }
+
+    /** The canonical string of one literal mode, with the data state of every 
scan. */
+    public String getCanonical(LiteralMode mode) {
+        boolean noLiteral = mode == LiteralMode.NO_LITERAL;
+        String materialized = noLiteral ? canonicalNoLiteral : 
canonicalWithLiteral;
+        if (materialized != null) {
+            return materialized;
+        }
+        materialized = root == null ? "" : render(root, mode, false);
+        if (noLiteral) {
+            canonicalNoLiteral = materialized;
+        } else {
+            canonicalWithLiteral = materialized;
+        }
+        return materialized;
+    }
+
+    /**
+     * The fingerprint input of one literal mode: the canonical string with 
the data state of every scan
+     * removed ({@code S{db.t}}). It is rendered from the same tree as the 
canonical string, with the scan
+     * tokens reduced to their identity, and never parsed out of the text, so 
no text inside a table name
+     * or a literal can be mistaken for a scan token.
+     */
+    public String getShape(LiteralMode mode) {
+        boolean noLiteral = mode == LiteralMode.NO_LITERAL;
+        String materialized = noLiteral ? shapeNoLiteral : shapeWithLiteral;
+        if (materialized != null) {
+            return materialized;
+        }
+        materialized = root == null ? "" : render(root, mode, true);
+        if (noLiteral) {
+            shapeNoLiteral = materialized;
+        } else {
+            shapeWithLiteral = materialized;
+        }
+        return materialized;
+    }
+
+    /**
+     * The sha256 of {@link #shapeKey(LiteralMode)}: the key an hbo entry is 
registered under.
+     *
+     * <p>The preimage is the structural form of this description, not the 
canonical string: every field
+     * is written with its length, so a table name, an alias or a literal 
which contains a character of
+     * the printed grammar cannot change which field it belongs to. The 
canonical string is the readable
+     * projection of the same tree ({@link #getCanonical}), and a pasted 
struct info is never hashed.
+     */
+    public String getFingerprint(LiteralMode mode) {
+        boolean noLiteral = mode == LiteralMode.NO_LITERAL;
+        String materialized = noLiteral ? fingerprintNoLiteral : 
fingerprintWithLiteral;
+        if (materialized != null) {
+            return materialized;
+        }
+        materialized = sha256(shapeKey(mode));
+        if (noLiteral) {
+            fingerprintNoLiteral = materialized;
+        } else {
+            fingerprintWithLiteral = materialized;
+        }
+        return materialized;
+    }
+
+    private static String sha256(byte[] value) {
+        return Hashing.sha256().hashBytes(value).toString();
+    }
+
+    /** The structural identity of this description in one literal mode (see 
{@link #getFingerprint}). */
+    private byte[] shapeKey(LiteralMode mode) {
+        ShapeKeyWriter out = new ShapeKeyWriter();
+        if (root == null) {
+            // an invalid description has no tree: its key is a marker of its 
own
+            out.tag(-1);
+            return out.toByteArray();
+        }
+        out.tag(0);
+        appendShapeKey(out, root, mode);
+        return out.toByteArray();
+    }
+
+    /**
+     * Write one node of the structural identity: the kind, the fields the 
canonical string prints for it
+     * (each as one length prefixed text) and the children. A field is never 
split by the text of another
+     * one, which the printed grammar cannot promise for a value which carries 
its characters.
+     */
+    private static void appendShapeKey(ShapeKeyWriter out, Node node, 
LiteralMode mode) {
+        if (node.kind == Kind.PASSTHROUGH && node.children.size() == 1) {
+            // a node which only composes its child renders no text of its 
own, so a plan which keeps such
+            // a node and the same plan with it inlined are one description: 
the identity must not name
+            // the node, otherwise the two forms of one plan would be keyed 
apart
+            appendShapeKey(out, node.children.get(0).node, mode);
+            return;
+        }
+        out.tag(node.kind.ordinal());
+        switch (node.kind) {
+            case SCAN:
+            case FILE_SCAN:
+                appendScanKey(out, node.scan);
+                return;
+            case STORAGE_AGGREGATE:
+                out.text(String.valueOf(node.storageAggregate.getAggOp()));
+                out.flag(node.scan != null);
+                if (node.scan != null) {
+                    appendScanKey(out, node.scan);
+                }
+                return;
+            case FILTER:
+                out.text(sortedConditions(node.conditions, mode));
+                break;
+            case AGGREGATE:
+                out.text(sortedIdentityConditions(node.conditions));
+                break;
+            case JOIN:
+                out.text(node.flattenable ? "inner" : 
String.valueOf(node.joinType));
+                out.text(distinctIdentityConditions(node.conditions));

Review Comment:
   Fixed in the branch (`[fix](fe) Include the mark-join flag in the join 
identity`):
   
   - `GroupStructInfo.Node` now carries `markJoin` (from `Join.isMarkJoin()`), 
the canonical writes it as `J{<type>,mark,c:[...]}` and the structural key 
writes it as a field, so `Project(mark AS m) -> LEFT_SEMI_JOIN(mark=true, ...)` 
and the plain `LEFT_SEMI_JOIN` over the same scans no longer share a key in 
either literal mode.
   - Two corpus cases pin the pair (`join_mark_semi` / `join_plain_semi`) and a 
test asserts the keys differ in both modes and that the canonical writes the 
flag.
   - Note: because the flag is a field of the join identity, the fingerprints 
of all join cases moved once (the regenerated corpus shows that change 
explicitly).
   - Tests: `org.apache.doris.nereids.stats.*` + the HBO command suite, 200 
cases pass. The regression suites were not re-run against a FE rebuilt from 
this commit.



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