From 676cce1a3c90aa619b3b4418f168d347c27b1ab2 Mon Sep 17 00:00:00 2001 From: Cassie Jeng <59851290+cjeng8771@users.noreply.github.com> Date: Tue, 27 Jan 2026 03:16:17 -0800 Subject: [PATCH 01/12] feat(caches): lec26 - lec29 --- content/cachesI/cachesI-library.md | 19 +++++++++++++++++ content/cachesI/cachesI-locality.md | 19 +++++++++++++++++ content/cachesI/cachesI-memory.md | 19 +++++++++++++++++ content/cachesI/index.md | 19 +++++++++++++++++ content/cachesII/cachesII-direct-example.md | 19 +++++++++++++++++ content/cachesII/cachesII-terminology.md | 19 +++++++++++++++++ content/cachesII/index.md | 19 +++++++++++++++++ content/cachesIII/cachesIII-associative.md | 19 +++++++++++++++++ content/cachesIII/cachesIII-writes-misses.md | 19 +++++++++++++++++ content/cachesIII/index.md | 19 +++++++++++++++++ content/cachesIV/cachesIV-amat.md | 19 +++++++++++++++++ content/cachesIV/cachesIV-block-placement.md | 19 +++++++++++++++++ content/cachesIV/cachesIV-cpus.md | 19 +++++++++++++++++ content/cachesIV/index.md | 19 +++++++++++++++++ myst.yml | 22 ++++++++++++++++++++ 15 files changed, 288 insertions(+) create mode 100644 content/cachesI/cachesI-library.md create mode 100644 content/cachesI/cachesI-locality.md create mode 100644 content/cachesI/cachesI-memory.md create mode 100644 content/cachesI/index.md create mode 100644 content/cachesII/cachesII-direct-example.md create mode 100644 content/cachesII/cachesII-terminology.md create mode 100644 content/cachesII/index.md create mode 100644 content/cachesIII/cachesIII-associative.md create mode 100644 content/cachesIII/cachesIII-writes-misses.md create mode 100644 content/cachesIII/index.md create mode 100644 content/cachesIV/cachesIV-amat.md create mode 100644 content/cachesIV/cachesIV-block-placement.md create mode 100644 content/cachesIV/cachesIV-cpus.md create mode 100644 content/cachesIV/index.md diff --git a/content/cachesI/cachesI-library.md b/content/cachesI/cachesI-library.md new file mode 100644 index 0000000..cbce4e6 --- /dev/null +++ b/content/cachesI/cachesI-library.md @@ -0,0 +1,19 @@ +--- +title: "Library Analogy" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/Daj8eXa1mA0 +:width: 100% +:title: "[CS61C FA20] Lecture 24.2 - Caches I: Library Analogy" +::: + +:::: \ No newline at end of file diff --git a/content/cachesI/cachesI-locality.md b/content/cachesI/cachesI-locality.md new file mode 100644 index 0000000..14ef0d8 --- /dev/null +++ b/content/cachesI/cachesI-locality.md @@ -0,0 +1,19 @@ +--- +title: "Locality, Design, Management" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/xrCp6DKazuk +:width: 100% +:title: "[CS61C FA20] Lecture 24.4 - Caches I: Locality, Design, Management" +::: + +:::: \ No newline at end of file diff --git a/content/cachesI/cachesI-memory.md b/content/cachesI/cachesI-memory.md new file mode 100644 index 0000000..48940f8 --- /dev/null +++ b/content/cachesI/cachesI-memory.md @@ -0,0 +1,19 @@ +--- +title: "Memory Hierarchy" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/7Lk5UacJeYA +:width: 100% +:title: "[CS61C FA20] Lecture 24.3 - Caches I: Memory Hierarchy" +::: + +:::: \ No newline at end of file diff --git a/content/cachesI/index.md b/content/cachesI/index.md new file mode 100644 index 0000000..a2049bb --- /dev/null +++ b/content/cachesI/index.md @@ -0,0 +1,19 @@ +--- +title: "Binary Prefix" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/IObh0p5Qe_A +:width: 100% +:title: "[CS61C FA20] Lecture 24.1 - Caches I: Binary Prefix" +::: + +:::: \ No newline at end of file diff --git a/content/cachesII/cachesII-direct-example.md b/content/cachesII/cachesII-direct-example.md new file mode 100644 index 0000000..bf37264 --- /dev/null +++ b/content/cachesII/cachesII-direct-example.md @@ -0,0 +1,19 @@ +--- +title: "Direct Mapped Example" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/rgLEf_mIW8Y +:width: 100% +:title: "[CS61C FA20] Lecture 25.2 - Caches II: Direct Mapped Example" +::: + +:::: \ No newline at end of file diff --git a/content/cachesII/cachesII-terminology.md b/content/cachesII/cachesII-terminology.md new file mode 100644 index 0000000..8c3265f --- /dev/null +++ b/content/cachesII/cachesII-terminology.md @@ -0,0 +1,19 @@ +--- +title: "Cache Terminology" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/lGp8FK1NW_k +:width: 100% +:title: "[CS61C FA20] Lecture 25.3 - Caches II: Cache Terminology" +::: + +:::: \ No newline at end of file diff --git a/content/cachesII/index.md b/content/cachesII/index.md new file mode 100644 index 0000000..aef9c4f --- /dev/null +++ b/content/cachesII/index.md @@ -0,0 +1,19 @@ +--- +title: "Direct Mapped Caches" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/wF3Ekt-ZHdg +:width: 100% +:title: "[CS61C FA20] Lecture 25.1 - Caches II: Direct Mapped Caches" +::: + +:::: \ No newline at end of file diff --git a/content/cachesIII/cachesIII-associative.md b/content/cachesIII/cachesIII-associative.md new file mode 100644 index 0000000..4d5ea67 --- /dev/null +++ b/content/cachesIII/cachesIII-associative.md @@ -0,0 +1,19 @@ +--- +title: "Fully Associative Caches" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/-7TxNYUeFng +:width: 100% +:title: "[CS61C FA20] Lecture 26.3 - Caches III: Fully Associative Caches" +::: + +:::: \ No newline at end of file diff --git a/content/cachesIII/cachesIII-writes-misses.md b/content/cachesIII/cachesIII-writes-misses.md new file mode 100644 index 0000000..d7e64cd --- /dev/null +++ b/content/cachesIII/cachesIII-writes-misses.md @@ -0,0 +1,19 @@ +--- +title: "Writes, Block Sizes, Misses" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/DiH8xtQeCJA +:width: 100% +:title: "[CS61C FA20] Lecture 26.2 - Caches III: Writes, Block Sizes, Misses" +::: + +:::: \ No newline at end of file diff --git a/content/cachesIII/index.md b/content/cachesIII/index.md new file mode 100644 index 0000000..5473767 --- /dev/null +++ b/content/cachesIII/index.md @@ -0,0 +1,19 @@ +--- +title: "Direct Mapped Example" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/-OtUM6j6_xE +:width: 100% +:title: "[CS61C FA20] Lecture 26.1 - Caches III: Direct Mapped Example" +::: + +:::: \ No newline at end of file diff --git a/content/cachesIV/cachesIV-amat.md b/content/cachesIV/cachesIV-amat.md new file mode 100644 index 0000000..480f2a5 --- /dev/null +++ b/content/cachesIV/cachesIV-amat.md @@ -0,0 +1,19 @@ +--- +title: "Average Memory Access Time (AMAT)" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/pCZUG0TzwjE +:width: 100% +:title: "[CS61C FA20] Lecture 27.3 - Caches IV: Average Memory Access Time (AMAT)" +::: + +:::: \ No newline at end of file diff --git a/content/cachesIV/cachesIV-block-placement.md b/content/cachesIV/cachesIV-block-placement.md new file mode 100644 index 0000000..b76d000 --- /dev/null +++ b/content/cachesIV/cachesIV-block-placement.md @@ -0,0 +1,19 @@ +--- +title: "Block Replacement with Example" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/a-ejTer1Ijg +:width: 100% +:title: "[CS61C FA20] Lecture 27.2 - Caches IV: Block Replacement with Example" +::: + +:::: \ No newline at end of file diff --git a/content/cachesIV/cachesIV-cpus.md b/content/cachesIV/cachesIV-cpus.md new file mode 100644 index 0000000..f07ffc4 --- /dev/null +++ b/content/cachesIV/cachesIV-cpus.md @@ -0,0 +1,19 @@ +--- +title: "Actual CPUs" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/isEHXkkPtE4 +:width: 100% +:title: "[CS61C FA20] Lecture 27.4 - Caches IV: Actual CPUs" +::: + +:::: \ No newline at end of file diff --git a/content/cachesIV/index.md b/content/cachesIV/index.md new file mode 100644 index 0000000..014d47e --- /dev/null +++ b/content/cachesIV/index.md @@ -0,0 +1,19 @@ +--- +title: "Set-Associative Caches" +subtitle: TODO +--- + +## Learning Outcomes + +* TODO +* TODO + +::::{note} 🎥 Lecture Video +:class: dropdown + +:::{iframe} https://www.youtube.com/embed/B4XiuH0kdEk +:width: 100% +:title: "[CS61C FA20] Lecture 27.1 - Caches IV: Set-Associative Caches" +::: + +:::: \ No newline at end of file diff --git a/myst.yml b/myst.yml index 862a8ba..3f75c47 100644 --- a/myst.yml +++ b/myst.yml @@ -34,6 +34,28 @@ project: - file: content/c-basics/c-vs-java.md - file: content/c-basics/c-variables.md - file: content/c-basics/c-syntax.md + - title: L26 Caches I + children: + - file: content/cachesI/index.md + - file: content/cachesI/cachesI-library.md + - file: content/cachesI/cachesI-memory.md + - file: content/cachesI/cachesI-locality.md + - title: L27 Caches II + children: + - file: content/cachesII/index.md + - file: content/cachesII/cachesII-direct-example.md + - file: content/cachesII/cachesII-terminology.md + - title: L28 Caches III + children: + - file: content/cachesIII/index.md + - file: content/cachesIII/cachesIII-writes-misses.md + - file: content/cachesIII/cachesIII-associative.md + - title: L29 Caches IV + children: + - file: content/cachesIV/index.md + - file: content/cachesIV/cachesIV-block-placement.md + - file: content/cachesIV/cachesIV-amat.md + - file: content/cachesIV/cachesIV-cpus.md site: template: book-theme options: From e9b5e2a31cb9006d8dd7c19d7fe1cd63525124e9 Mon Sep 17 00:00:00 2001 From: Cassie Jeng <59851290+cjeng8771@users.noreply.github.com> Date: Wed, 4 Feb 2026 00:14:47 -0800 Subject: [PATCH 02/12] feat(caches): summary precheck exercises skel --- content/cachesI/exercises.md | 25 +++++++++++++++++++++++++ content/cachesI/summary-precheck.md | 6 ++++++ content/cachesI/summary.md | 15 +++++++++++++++ content/cachesII/exercises.md | 25 +++++++++++++++++++++++++ content/cachesII/summary-precheck.md | 6 ++++++ content/cachesII/summary.md | 15 +++++++++++++++ content/cachesIII/exercises.md | 25 +++++++++++++++++++++++++ content/cachesIII/summary-precheck.md | 6 ++++++ content/cachesIII/summary.md | 15 +++++++++++++++ content/cachesIV/exercises.md | 25 +++++++++++++++++++++++++ content/cachesIV/summary-precheck.md | 6 ++++++ content/cachesIV/summary.md | 14 ++++++++++++++ myst.yml | 12 ++++++++++++ 13 files changed, 195 insertions(+) create mode 100644 content/cachesI/exercises.md create mode 100644 content/cachesI/summary-precheck.md create mode 100644 content/cachesI/summary.md create mode 100644 content/cachesII/exercises.md create mode 100644 content/cachesII/summary-precheck.md create mode 100644 content/cachesII/summary.md create mode 100644 content/cachesIII/exercises.md create mode 100644 content/cachesIII/summary-precheck.md create mode 100644 content/cachesIII/summary.md create mode 100644 content/cachesIV/exercises.md create mode 100644 content/cachesIV/summary-precheck.md create mode 100644 content/cachesIV/summary.md diff --git a/content/cachesI/exercises.md b/content/cachesI/exercises.md new file mode 100644 index 0000000..fce7567 --- /dev/null +++ b/content/cachesI/exercises.md @@ -0,0 +1,25 @@ +--- +title: "Exercises" +subtitle: "Check your knowledge before section" +--- + +## Conceptual Review + +1. Question + +:::{note} Solution +:class: dropdown + +Solution + + +::: + +## Short Exercises + +1. **True/False**: + +:::{note} Solution +:class: dropdown +**True.** Explanation +::: diff --git a/content/cachesI/summary-precheck.md b/content/cachesI/summary-precheck.md new file mode 100644 index 0000000..cd79b75 --- /dev/null +++ b/content/cachesI/summary-precheck.md @@ -0,0 +1,6 @@ +--- +title: "Precheck Summary" +--- + +## To Review$\dots$ + diff --git a/content/cachesI/summary.md b/content/cachesI/summary.md new file mode 100644 index 0000000..f64f346 --- /dev/null +++ b/content/cachesI/summary.md @@ -0,0 +1,15 @@ +--- +title: "Summary" +--- + +## And in Conclusion$\dots$ + + + +## Textbook Readings + +P&H 5.1-5.4, 5.8, 5.9, 5.13 + +## Additional References + +* [Cache Flowchart](https://inst.eecs.berkeley.edu/~cs61c/sp21/resources-pdfs/caches.pdf) \ No newline at end of file diff --git a/content/cachesII/exercises.md b/content/cachesII/exercises.md new file mode 100644 index 0000000..fce7567 --- /dev/null +++ b/content/cachesII/exercises.md @@ -0,0 +1,25 @@ +--- +title: "Exercises" +subtitle: "Check your knowledge before section" +--- + +## Conceptual Review + +1. Question + +:::{note} Solution +:class: dropdown + +Solution + + +::: + +## Short Exercises + +1. **True/False**: + +:::{note} Solution +:class: dropdown +**True.** Explanation +::: diff --git a/content/cachesII/summary-precheck.md b/content/cachesII/summary-precheck.md new file mode 100644 index 0000000..cd79b75 --- /dev/null +++ b/content/cachesII/summary-precheck.md @@ -0,0 +1,6 @@ +--- +title: "Precheck Summary" +--- + +## To Review$\dots$ + diff --git a/content/cachesII/summary.md b/content/cachesII/summary.md new file mode 100644 index 0000000..f64f346 --- /dev/null +++ b/content/cachesII/summary.md @@ -0,0 +1,15 @@ +--- +title: "Summary" +--- + +## And in Conclusion$\dots$ + + + +## Textbook Readings + +P&H 5.1-5.4, 5.8, 5.9, 5.13 + +## Additional References + +* [Cache Flowchart](https://inst.eecs.berkeley.edu/~cs61c/sp21/resources-pdfs/caches.pdf) \ No newline at end of file diff --git a/content/cachesIII/exercises.md b/content/cachesIII/exercises.md new file mode 100644 index 0000000..fce7567 --- /dev/null +++ b/content/cachesIII/exercises.md @@ -0,0 +1,25 @@ +--- +title: "Exercises" +subtitle: "Check your knowledge before section" +--- + +## Conceptual Review + +1. Question + +:::{note} Solution +:class: dropdown + +Solution + + +::: + +## Short Exercises + +1. **True/False**: + +:::{note} Solution +:class: dropdown +**True.** Explanation +::: diff --git a/content/cachesIII/summary-precheck.md b/content/cachesIII/summary-precheck.md new file mode 100644 index 0000000..cd79b75 --- /dev/null +++ b/content/cachesIII/summary-precheck.md @@ -0,0 +1,6 @@ +--- +title: "Precheck Summary" +--- + +## To Review$\dots$ + diff --git a/content/cachesIII/summary.md b/content/cachesIII/summary.md new file mode 100644 index 0000000..f64f346 --- /dev/null +++ b/content/cachesIII/summary.md @@ -0,0 +1,15 @@ +--- +title: "Summary" +--- + +## And in Conclusion$\dots$ + + + +## Textbook Readings + +P&H 5.1-5.4, 5.8, 5.9, 5.13 + +## Additional References + +* [Cache Flowchart](https://inst.eecs.berkeley.edu/~cs61c/sp21/resources-pdfs/caches.pdf) \ No newline at end of file diff --git a/content/cachesIV/exercises.md b/content/cachesIV/exercises.md new file mode 100644 index 0000000..fce7567 --- /dev/null +++ b/content/cachesIV/exercises.md @@ -0,0 +1,25 @@ +--- +title: "Exercises" +subtitle: "Check your knowledge before section" +--- + +## Conceptual Review + +1. Question + +:::{note} Solution +:class: dropdown + +Solution + + +::: + +## Short Exercises + +1. **True/False**: + +:::{note} Solution +:class: dropdown +**True.** Explanation +::: diff --git a/content/cachesIV/summary-precheck.md b/content/cachesIV/summary-precheck.md new file mode 100644 index 0000000..cd79b75 --- /dev/null +++ b/content/cachesIV/summary-precheck.md @@ -0,0 +1,6 @@ +--- +title: "Precheck Summary" +--- + +## To Review$\dots$ + diff --git a/content/cachesIV/summary.md b/content/cachesIV/summary.md new file mode 100644 index 0000000..a9c3b86 --- /dev/null +++ b/content/cachesIV/summary.md @@ -0,0 +1,14 @@ +--- +title: "Summary" +--- + +## And in Conclusion$\dots$ + + + +## Textbook Readings + +P&H 5.2, 5.5, 5.11 + +## Additional References + diff --git a/myst.yml b/myst.yml index ea2284c..22c6b73 100644 --- a/myst.yml +++ b/myst.yml @@ -69,22 +69,34 @@ project: - file: content/cachesI/cachesI-library.md - file: content/cachesI/cachesI-memory.md - file: content/cachesI/cachesI-locality.md + - file: content/cachesI/summary.md + - file: content/cachesI/summary-precheck.md + - file: content/cachesI/exercises.md - title: "L27 Caches II" children: - file: content/cachesII/index.md - file: content/cachesII/cachesII-direct-example.md - file: content/cachesII/cachesII-terminology.md + - file: content/cachesII/summary.md + - file: content/cachesII/summary-precheck.md + - file: content/cachesII/exercises.md - title: "L28 Caches III" children: - file: content/cachesIII/index.md - file: content/cachesIII/cachesIII-writes-misses.md - file: content/cachesIII/cachesIII-associative.md + - file: content/cachesIII/summary.md + - file: content/cachesIII/summary-precheck.md + - file: content/cachesIII/exercises.md - title: "L29 Caches IV" children: - file: content/cachesIV/index.md - file: content/cachesIV/cachesIV-block-placement.md - file: content/cachesIV/cachesIV-amat.md - file: content/cachesIV/cachesIV-cpus.md + - file: content/cachesIV/summary.md + - file: content/cachesIV/summary-precheck.md + - file: content/cachesIV/exercises.md - title: "Miscellaneous" children: - file: content/misc/unit-prefixes.md From 0950e8e7fbdfdff6b8537f3998ed304db668611c Mon Sep 17 00:00:00 2001 From: Flying010 Date: Fri, 20 Feb 2026 14:33:44 -0800 Subject: [PATCH 03/12] done with cache summary --- content/cachesI/summary-precheck.md | 6 ++++ content/cachesII/summary-precheck.md | 47 +++++++++++++++++++++++++++ content/cachesIII/summary-precheck.md | 42 ++++++++++++++++++++++++ content/cachesIV/summary-precheck.md | 37 +++++++++++++++++++++ 4 files changed, 132 insertions(+) diff --git a/content/cachesI/summary-precheck.md b/content/cachesI/summary-precheck.md index cd79b75..540d88d 100644 --- a/content/cachesI/summary-precheck.md +++ b/content/cachesI/summary-precheck.md @@ -3,4 +3,10 @@ title: "Precheck Summary" --- ## To Review$\dots$ +2 IEC Prefixes and Symbols +IEC Prefix multipliers are a set of standard units used to represent powers of 2 and are often used +in discussion about caches and memory. The Base-2 (bi: “bee”) IEC standard prefixes represent +binary quantities officially up to exbi (“exbee”). Their comparison to SI units are shown below: + +##Chart of the Values diff --git a/content/cachesII/summary-precheck.md b/content/cachesII/summary-precheck.md index cd79b75..7337b64 100644 --- a/content/cachesII/summary-precheck.md +++ b/content/cachesII/summary-precheck.md @@ -3,4 +3,51 @@ title: "Precheck Summary" --- ## To Review$\dots$ +Understanding T/I/O +We use caches to make our access to data faster. When working with main memory (RAM), the +main problem faced is the fact that access to the main memory is very slow. In fact, modern +processors take about 100 instruction cycles or more to access the main memory, meaning +memory accesses become the bottleneck of our programs. Caches help fix this problem for us - +they hold a portion of the data in main memory that we might access again later on. They are +closer to the processor in the memory hierarchy, and thus accessing a cache is much faster than +accessing the main memory. + +#Cache path diagram + +As seen above, the access to cache is the middle step between the CPU asking for a memory bit, +and the actual main memory access - if the data is not found in the cache, only then is main +memory accessed. This way unnecessary trips to main memory are avoided. One important detail +is that caches are much smaller in size than main memory - this is why we have to be efficient in +what we hold in caches. +When we are saving data in caches, we need to be as efficient as possible. In order to do this, we +make use of locality. We have two different kinds of locality to consider. +• Temporal Locality: If we have accessed a piece of information recently, it is possible that we +will access it again. So, we hold this data in the cache. +• Spatial Locality: If we have accessed a memory location recently, it is probable that we will +access the neighboring addresses as well. So, we also keep the neighboring addresses within +the cache. An example is array accesses - if we access the 0th element of an array, it is probable +we will also access the 1st one. +Note that caches hold the data in blocks that have a size equal to the block size of the cache. When +working with caches, we have to be able to break down the memory addresses we work with to +understand where they fit into our caches. There are three fields: +• Tag: Used to distinguish different blocks that use the same index. +Number of Tag Bits = (# bits in memory address) - Index Bits - Offset Bits +• Index: The set that this piece of memory will be placed in. +Number of Index Bits = log2 +(# of Indices) +• Offset: The location of the byte in the block. +Number of Offset Bits = log2 +(Block Size) +Given these definitions, the following is true: +4 +Precheck: Caches 5 +log2 +(memory size) = # memory address bits = # tag bits + # index bits + # offset bits +Another useful equality to remember is: +cache size = block size ∗ num b + +#TAG INDEX OFFSET LAYOUT + +As seen above, the tag bits are to the left (most significant), the index bits are in the middle, and +the offset bits are to the right (least significant). diff --git a/content/cachesIII/summary-precheck.md b/content/cachesIII/summary-precheck.md index cd79b75..365dec6 100644 --- a/content/cachesIII/summary-precheck.md +++ b/content/cachesIII/summary-precheck.md @@ -3,4 +3,46 @@ title: "Precheck Summary" --- ## To Review$\dots$ +4 Cache Misses +In order to evaluate cache performance and hit rate, especially with determining how effective +our current cache configuration is, it is useful to analyze the misses that do occur, and adjust +accordingly. Below, we categorize cache misses into two types: +1. Compulsory: A miss that must occur when you bring in a certain block for the first time, +hence “compulsory”. Compulsory misses are cache attempts that would never be a hit regardless of the cache design +2. Noncompulsory: A cache miss that occurs after the data has already been brought into the +cache and then evicted afterwards. If the miss could have been alleviated via increasing the +cache size or associativity, then the miss is considered noncompulsory. +5 Cache Associativity +Direct-Mapped caches–where each block of memory maps to specifically one slot in our cache– +is good for fast searching, simple hardware, and quick replacement, but not so good for spatial +locality! +This is where we bring associativity into the matter. Associativity is the number of slots a memory +block can map to in our cache. Thus, a Fully-Associative cache has the most associativity, meaning +one memory block can map to any cache block. Our Direct-Mapped cache, on the other hand, has +the least (being only 1-way set associative) because one memory block can only map to a single +cache block. +For an N-way set associative cache, the following relationships are true: +Number of Blocks = 𝑁 × Number of Sets +Index bits = log2 +(Number of Sets) +Ex: for a 2-way set associative cache with 4 index bits, there will be 2 +4 = 16 sets for 2 × 16 = 32 +blocks in the cache. + +7 Write Policies +Store instructions write to memory which change the data. With a cache, we need to ensure that +our main memory will eventually be in sync with our cache if we are changing the values. There +exist two common write policies with different tradeoffs: +• Write-through: write to the cache and memory at the same time such that the data in cache +and main memory will always be in sync. +– Simple to implement but… +– More writes to memory ⇒ longer AMAT +• Write-back: only write data to the cache and keep track of “dirty” blocks by setting a dirty bit +to 1. When dirty block gets evicted, write changes back to memory. +– More difficult to implement but… +– Fewer writes to main memory ⇒ shorter AMAT +6 +Precheck: Caches 7 +What happens when we have multiple caches simultaneously reading and writing to/from main +memory? Take CS152 to learn about cache coherency and consistency! diff --git a/content/cachesIV/summary-precheck.md b/content/cachesIV/summary-precheck.md index cd79b75..99ba47b 100644 --- a/content/cachesIV/summary-precheck.md +++ b/content/cachesIV/summary-precheck.md @@ -3,4 +3,41 @@ title: "Precheck Summary" --- ## To Review$\dots$ +6 Replacement Policies +For direct-mapped caches, each block of memory maps to one specific block in our cache. On a +cache miss, if there is data present in that cache block, then we must evict the block to make room +for our new data. +For non-direct-mapped caches, we can choose one of multiple cache blocks to place our new data. +When our cache is full, we will have to decide which block to evict to make space for the new +data. Block Replacement / Eviction policies decide which block should be evicted. Common +ones we may see in this class: +• Least Recently Used (LRU) +– Replace the entry that has not been used for the longest time +– Pro: Temporal Locality +– Con: complicated hardware to keep track of access history +– Implementation: bit counters for each cache block (see lecture slides for example) +• Most Recently Used (MRU) +– Replace the entry that has the newest previous access +– Pro: may support a workload that has less temporal locality +– Implementation: MRU bits to keep track of most recent access +• First-in, First-out (FIFO) +– Replace the oldest block in the set (queue) +– Pro: reasonable approximation to LRU +– Implementation: FIFO queue or similar approximation +• Last-in, First-out (LIFO) +– Replace the newest block in the set (stack) +– Pro: reasonable approximation to MRU +– Implementation: LIFO stack or similar approximation +• Random +– Pro: easy to implement and can work surprisingly well when given workload with low +temporal locality +8 AMAT (Average Memory Access Time) +Recall that AMAT stands for Average Memory Access Time. This is a way to measure the performance of a cache system. The formula for AMAT is: +AMAT = (Hit Time) + (Miss Rate) * (Miss Penalty) +In a multi-level memory hierarchies (e.g. multi-level caches), we can separate miss rates into two +types that we consider for each level. +• Global: Calculated as the number of accesses that missed at that level divided by the total +number of accesses to the memory system. +• Local: Calculated as the number of accesses that missed at that level divided by the total number +of accesses to that memory level. From 0aa0728a343911cc2f8404dd8c79bd9ecdebf30a Mon Sep 17 00:00:00 2001 From: Chloe Marick Date: Thu, 26 Mar 2026 14:15:27 -0700 Subject: [PATCH 04/12] add images/directives for caches 3 --- content/cachesIII/cachesIII-associative.md | 32 ++++- content/cachesIII/cachesIII-writes-misses.md | 25 +++- .../blank-cache-terminology-12b-addresses.png | Bin 0 -> 33563 bytes .../cache-example-direct-mapped-cache.png | Bin 0 -> 46357 bytes .../images/direct-mapped-16b-cache.png | Bin 0 -> 64234 bytes .../images/direct-mapped-4b-cache.png | Bin 0 -> 42474 bytes .../images/direct-mapped-4b-memory.png | Bin 0 -> 51641 bytes .../images/direct-mapped-8b-cache.png | Bin 0 -> 49728 bytes .../images/direct-mapped-cache-1.png | Bin 0 -> 62126 bytes .../images/direct-mapped-cache-2.png | Bin 0 -> 58091 bytes .../images/direct-mapped-cache-address.png | Bin 0 -> 110005 bytes .../images/direct-mapped-write-back.png | Bin 0 -> 71441 bytes .../images/fully-associative-cache-lru.png | Bin 0 -> 84808 bytes 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content/cachesIII/images/memory-address-terminology-12b-addresses.png create mode 100644 content/cachesIII/images/memory-direct-mapped-16b-cache.png create mode 100644 content/cachesIII/images/memory-direct-mapped-4b-cache.png create mode 100644 content/cachesIII/images/memory-direct-mapped-8b-cache.png create mode 100644 content/cachesIII/images/memory-example-direct-mapped.png create mode 100644 content/cachesIII/images/placement-policies-next-time.png create mode 100644 content/cachesIII/images/placement-policies.png create mode 100644 content/cachesIII/images/tio-example-direct-mapped.png create mode 100644 content/cachesIII/images/warmed-up-cache-can-still-miss.png create mode 100644 content/cachesIII/images/what-about-stores.png create mode 100644 content/cachesIII/images/write-through-vs-write-back.png diff --git a/content/cachesIII/cachesIII-associative.md b/content/cachesIII/cachesIII-associative.md index 4d5ea67..0feaf0f 100644 --- a/content/cachesIII/cachesIII-associative.md +++ b/content/cachesIII/cachesIII-associative.md @@ -16,4 +16,34 @@ subtitle: TODO :title: "[CS61C FA20] Lecture 26.3 - Caches III: Fully Associative Caches" ::: -:::: \ No newline at end of file +:::: + +## Visuals + +:::{figure} images/fully-associative-cache-lru.png +:label: fig-fully-associative-cache-lru +:width: 60% +:alt: "TODO" +A fully associative cache with LRU replacement policy. +::: + +:::{figure} images/warmed-up-cache-can-still-miss.png +:label: fig-warmed-up-cache-can-still-miss +:width: 60% +:alt: "TODO" +Even a fully warmed-up cache can still produce a miss. +::: + +:::{figure} images/fully-associative-lru-write-back.png +:label: fig-fully-associative-lru-write-back +:width: 60% +:alt: "TODO" +A fully associative cache using LRU replacement and a write-back policy. +::: + +:::{figure} images/placement-policies.png +:label: fig-placement-policies +:width: 75% +:alt: "TODO" +The spectrum of cache placement policies from fully associative to direct mapped. +::: \ No newline at end of file diff --git a/content/cachesIII/cachesIII-writes-misses.md b/content/cachesIII/cachesIII-writes-misses.md index d7e64cd..560ba21 100644 --- a/content/cachesIII/cachesIII-writes-misses.md +++ b/content/cachesIII/cachesIII-writes-misses.md @@ -16,4 +16,27 @@ subtitle: TODO :title: "[CS61C FA20] Lecture 26.2 - Caches III: Writes, Block Sizes, Misses" ::: -:::: \ No newline at end of file +:::: + +## Visuals +:::{figure} images/what-about-stores.png +:label: fig-what-about-stores +:width: 60% +:alt: "TODO" +Handling a store instruction in a write-back cache. +::: + +:::{figure} images/write-through-vs-write-back.png +:label: fig-write-through-vs-write-back +:width: 60% +:alt: "TODO" +Comparison of write-through and write-back cache policies. +::: + +:::{figure} images/direct-mapped-write-back.png +:label: fig-direct-mapped-write-back +:width: 60% +:alt: "TODO" +A direct-mapped cache with valid, dirty, tag, and data fields, illustrating write-back behavior. +::: + diff 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