From b081fbd285751a5ac05659fa77afe7d5ed27fb2a Mon Sep 17 00:00:00 2001 From: Oliver Kennedy Date: Mon, 19 Feb 2018 00:15:53 -0500 Subject: [PATCH] Lecture slides --- .../cse4562sp2018/2018-02-19-Indexing1.html | 355 ++++++++ .../graphics/2018-02-19-BTree-Reserved.svg | 827 ++++++++++++++++++ .../graphics/2018-02-19-ISAM.png | Bin 0 -> 54099 bytes .../graphics/2018-02-19-Index-Types.svg | 572 ++++++++++++ .../graphics/2018-02-19-InsertExample-1.png | Bin 0 -> 53762 bytes .../graphics/2018-02-19-InsertExample-2.png | Bin 0 -> 88640 bytes .../graphics/2018-02-19-InsertExample-3.png | Bin 0 -> 44521 bytes .../graphics/2018-02-19-InsertExample-4.png | Bin 0 -> 148187 bytes .../graphics/2018-02-19-InsertExample-5.png | Bin 0 -> 151634 bytes .../graphics/2018-02-19-InsertExample-6.png | Bin 0 -> 35257 bytes .../graphics/2018-02-19-InsertExample-7.png | Bin 0 -> 49577 bytes .../graphics/2018-02-19-InsertExample-8.png | Bin 0 -> 15534 bytes .../2018-02-19-PrimaryVsSecondary.png | Bin 0 -> 82717 bytes .../graphics/2018-02-19-Tree-BinSearch.svg | 346 ++++++++ .../graphics/2018-02-19-Tree-Motivation.svg | 767 ++++++++++++++++ .../graphics/2018-02-19-Tree-Unbalanced.svg | 745 ++++++++++++++++ 16 files changed, 3612 insertions(+) create mode 100644 slides/cse4562sp2018/2018-02-19-Indexing1.html create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-BTree-Reserved.svg create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-ISAM.png create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-Index-Types.svg create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-InsertExample-1.png create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-InsertExample-2.png create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-InsertExample-3.png create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-InsertExample-4.png create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-InsertExample-5.png create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-InsertExample-6.png create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-InsertExample-7.png create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-InsertExample-8.png create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-PrimaryVsSecondary.png create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-Tree-BinSearch.svg create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-Tree-Motivation.svg create mode 100644 slides/cse4562sp2018/graphics/2018-02-19-Tree-Unbalanced.svg diff --git a/slides/cse4562sp2018/2018-02-19-Indexing1.html b/slides/cse4562sp2018/2018-02-19-Indexing1.html new file mode 100644 index 00000000..4adf99fb --- /dev/null +++ b/slides/cse4562sp2018/2018-02-19-Indexing1.html @@ -0,0 +1,355 @@ + + + + + + + CSE 4/562 - Spring 2018 + + + + + + + + + + + + + + + + + + + + + + + + + +
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+ + CSE 4/562 - Database Systems +
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+ +
+

Indexes

+

CSE 4/562 – Database Systems

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February 19, 2018
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$150$50
Index
ToC
No Index
ToC Summary
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+ +
+

Today's Focus

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+ $\sigma_C(R)$ and $(\ldots \bowtie_C R)$ +

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(Finding records in a table really fast)

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Indexing Strategies

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Rearrange the data.
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Put things in a predictable location or a specific order.
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("clustering" the data)
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Wrap the data.
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Record where specific data values live
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("indexing" the data).
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Data Organization

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Unordered Heap
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No organization at all. $O(N)$ reads.
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(Secondary) Index
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Index structure over unorganized data. $O(\ll N)$ random reads for some queries.
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Clustered (Primary) Index
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Index structure over clustered data. $O(\ll N)$ sequential reads for some queries.
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Data Organization

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Data Organization

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Index Types

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Tree-Based
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A hierarchy of decisions lead to data at the leaves.
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Hash-Based
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A hash function puts data in predictable locations.
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CDF-Based (new)
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A more complex function predicts where data lives.
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Tree-Based Indexes

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Tree-Based Indexes

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Challenges

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Balance
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Bad question orders lead to poor performance!
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IO
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Each access to a binary tree node is a random access.
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Which Dimension
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Why limit ourselves to asking about one dimension?
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Worst-Case Tree?

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$O(N)$ with the tree laid out left/right-deep
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Best-Case Tree?

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$O(\log N)$ with the tree perfectly balanced
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Binary Trees are Bad for IO

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Every step of binary search is a random access

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Every tree node access is a random access

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Random access IO is bad.

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Idea: Load a bunch of binary tree nodes together.

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Binary Tree: $1$ separator & $2$ pointers

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$log_2(N)$ Deep

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$K$-ary Tree: $(K-1)$ separators & $K$ pointers

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$log_K(N)$ Deep

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Important: You still need to do binary search on each node of a $K$-ary tree, but now you're doing random access on memory (or cache) instead of disk (or memory)

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ISAM Trees

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How do you handle updates?

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B+Tree = ISAM + Updates

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Challenges

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  • Finding space for new records
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  • Keeping the tree balanced as new records are added
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Idea 1: Reserve space for new records

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Just maintaining open space won't work forever...

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Rules of B+Trees

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Keep space open for insertions in inner/data nodes.
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‘Split’ nodes when they’re full
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Avoid under-using space
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‘Merge’ nodes when they’re under-filled
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Maintain Invariant: All Nodes ≥ 50% Full

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(Exception: The Root)

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Deletions reverse this process (at 50% fill).

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Next Class: Hash- and CDF-Based Indexes

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+ + + + + + + diff --git a/slides/cse4562sp2018/graphics/2018-02-19-BTree-Reserved.svg b/slides/cse4562sp2018/graphics/2018-02-19-BTree-Reserved.svg new file mode 100644 index 00000000..6ddc4ea6 --- /dev/null +++ b/slides/cse4562sp2018/graphics/2018-02-19-BTree-Reserved.svg @@ -0,0 +1,827 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 1,3 + + + + + 5,7 + + + + + + + + + + + + + + + + + + + + + + + + + 15 + + + 5 + 9 + + + + + + + 15 + + + + + + + 13 + + + + + 15 + 13 + + + + + 9 + + + ...12 + + 21 + 27 + + + + + 30 + 40 + 50 + + + + + + diff --git a/slides/cse4562sp2018/graphics/2018-02-19-ISAM.png b/slides/cse4562sp2018/graphics/2018-02-19-ISAM.png new file mode 100644 index 0000000000000000000000000000000000000000..cfa043b43a741715aa1f3f79d6d252ed9ddc4284 GIT binary patch literal 54099 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