From d83964a1903ef49adf5bca0e68b34d6cb70945a8 Mon Sep 17 00:00:00 2001 From: yenru0 Date: Thu, 6 Nov 2025 10:14:44 +0900 Subject: [PATCH] add L8.pdf and complement in 11.06 --- notes/7.md | 50 +++++++++++++++++++++++++++++++++++++++++++++----- notes/8.md | 52 ++++++++++++++++++++++++++++++++++++++++++++++++++++ pdf/L8.pdf | Bin 0 -> 500796 bytes 3 files changed, 97 insertions(+), 5 deletions(-) create mode 100644 notes/8.md create mode 100644 pdf/L8.pdf diff --git a/notes/7.md b/notes/7.md index 2ff412a..387e507 100644 --- a/notes/7.md +++ b/notes/7.md @@ -17,12 +17,10 @@ Keep the top of the stack in a register, so `add` requires only a single memory * `pop` * `add` - ### Code Generation From Stack Machine Assume that stack grows towards lower addresses. - ## MIPS 32 regs @@ -36,7 +34,6 @@ Assume that stack grows towards lower addresses. * `li` * `mv` - Converting Stack to MIPS ISA * `acc <- i` @@ -44,13 +41,56 @@ Converting Stack to MIPS ISA ### Optimizing - +no ## Branch `beq $1 $2 lbl` `b lbl` - ## Function +At Caller Side: +1. saves the `$fp` to the stack +2. saves the actual params in reverse order +3. saves the return address to `$ra` + +At Callee Side: +1. set `$fp` to `$sp` +2. the callee saves the return address +3. ... + +## Temp Var + +Many various intermediate vars should be stored in the AR. But compiler can statically know how many temporary variables there are. + +Let $NT(e)$ is defined recursively by: +$$NT(e1 + e2) = \max (NT(e1), NT(e2) + 1)$$ + +for example: + +### CG using NT + +add new args to the `cgen(e, nt)` + +reduce number of decrease `$sp` (`addi $sp $sp -4`) + + +## Intermediate Representation (IR) + +Before: +Each Languages need respective, different Optimizer. + +Now: +Common IR optimizer. + + +IR is language-independent and machine-independent optimization. + +### High-Level Assembly + +It uses unlimited number of registers. +It uses assembly-like control structures (jmp and lbl). +opcodes but some are higher level + +igen(e, t) \ No newline at end of file diff --git a/notes/8.md b/notes/8.md new file mode 100644 index 0000000..c82b0b1 --- /dev/null +++ b/notes/8.md @@ -0,0 +1,52 @@ +# Dataflow Analysis + +Optimization means improving resource utilization not changing what the program computes. +Resource utilization means many things: +* **Execution time** +* Code size +* Network messages sent. + +## Basic Block (BB) + +A BB is a maximum sequence of instructions with **no labels**, **no jumps** +All instructions in a BB has fixed control flow. + +## Control Flow Graph + +```mermaid +flowchart TD + Entry --> A + A[BB1] --> B[BB2] + A --> C[BB3] + B --> D[BB4] + C --> D + D --> E[BB5] + E --> G[BB7] + E --> F[BB6] + G --> Exit + F --> Exit +``` + +## Local Optimization + +### Algebraic Simplification + +x := x + 0 -> x := 0 +y := y ** 2 -> y := y * y +x := x * 8 -> x := x << 3 +x := x * 15 -> t := x << 4; x := t - x + +### Constant Folding + +x := 2 + 2 -> x := 4 +if 2 < 0 jump L -> nop +if 2 > 0 jump L -> jump L + +But Constant folding can be dangerous on cross-compilation (in precision). + + +### Unreachable Code + +### Dead Code Elimination + +## Global Optimization \ No newline at end of file diff --git a/pdf/L8.pdf b/pdf/L8.pdf new file mode 100644 index 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