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2025-02-Compiler/notes/7.md

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# Code Generation 2
## Stack Machine
Consider two instructions
* `push i`
* `add i`
It is not efficient because all stack is considered as memory (which is slower than register).
### Utilizing Register Files
Keep the top of the stack in a register, so `add` requires only a single memory access.
* `acc <- i`
* `push acc`
* `pop`
* `add`
### Code Generation From Stack Machine
Assume that stack grows towards lower addresses.
## MIPS
32 regs
`$sp`, `$a0`, `$t1`
* `lw`
* `add`
* `sw`
* `addi`
* `li`
* `mv`
Converting Stack to MIPS ISA
* `acc <- i`
* `li $a0 i`
### 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)