Files
xenia-rs/migration/project-root/ppc-manual/fpu/fsubsx.md
MechaCat02 e6d43a23ac chore: add migration/ bundle for cross-machine setup
Bundles state that lives OUTSIDE the xenia-rs repo so a fresh clone on
another machine can be brought up to identical configuration via
migration/setup.sh:

  - claude-memory/             ~/.claude/projects/-home-fabi-RE-Project-Sylpheed/memory/
                               (103 files, 1.1 MB - MEMORY.md + every
                                project_xenia_rs_*.md from audits
                                addis_signext through audit-058)
  - project-root/dot-claude/   <project-root>/.claude/settings.json
                               (Stop hook + permissions)
  - project-root/ppc-manual/   <project-root>/ppc-manual/
                               (PowerPC reference docs, 397 files, 3.7 MB)
  - project-root/run-canary.sh <project-root>/run-canary.sh
  - README.md                  Human-readable setup checklist
  - setup.sh                   Idempotent installer (also reclones
                               xenia-canary at pinned HEAD 6de80dffe)
  - MANIFEST.md                Per-file mapping + per-file-not-bundled
                               restoration recipe

Excluded from bundle (not shippable via git):
  - Sylpheed ISO (7.8 GB; copyright; manual copy required)
  - sylpheed.db (395 MB; regenerable from XEX via analysis tooling)
  - target/ build artifacts (rebuild on target)
  - audit-runs probe firehoses (.log/.stdout/.stderr ~11 GB; rerun if needed)
  - audit-runs memory dumps (.bin ~4.5 GB; rerun audit-026/027/029 if needed)
  - xenia-canary checkout (setup.sh reclones from
    git.mc02.dev/fabi/Xenia-Canary.git at HEAD 6de80dffe)

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
2026-05-10 21:38:38 +02:00

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# `fsubsx` — Floating Subtract Single
> **Category:** [Floating-Point](../categories/fpu.md) · **Form:** [A](../forms/A.md) · **Opcode:** `0xec000028`
<!-- GENERATED: BEGIN -->
## Assembler Mnemonics
| Mnemonic | XML entry | Flags | Description |
| --- | --- | --- | --- |
| `fsubs` | `fsubsx` | — | Floating Subtract Single |
| `fsubs.` | `fsubsx` | Rc=1 | Floating Subtract Single |
## Syntax
```asm
fsubs[Rc] [FD], [FA], [FB]
```
## Encoding
### `fsubsx` — form `A`
- **Opcode word:** `0xec000028`
- **Primary opcode (bits 05):** `59`
- **Extended opcode:** `20`
- **Synchronising:** no
| Bits | Field | Meaning |
| --- | --- | --- |
| 05 | `OPCD` | primary opcode (59 or 63) |
| 610 | `FRT` | destination FPR |
| 1115 | `FRA` | source A FPR |
| 1620 | `FRB` | source B FPR |
| 2125 | `FRC` | source C FPR (multiplier for madd-style ops) |
| 2630 | `XO` | extended opcode (5 bits) |
| 31 | `Rc` | record-form flag (updates CR1) |
## Operands
| Field | Role | Description |
| --- | --- | --- |
| `FA` | fsubsx: read | Source A floating-point register (`fr0``fr31`). |
| `FB` | fsubsx: read | Source B floating-point register. |
| `FD` | fsubsx: write | Destination floating-point register. |
| `CR` | fsubsx: write (conditional) | Condition-register update. When `Rc=1`, CR field 0 (or CR6 for vector compares, CR1 for FPU) is updated from the result. |
| `FPSCR` | fsubsx: write | Floating-Point Status and Control Register. |
## Register Effects
### `fsubsx`
- **Reads (always):** `FA`, `FB`
- **Reads (conditional):** _none_
- **Writes (always):** `FD`, `FPSCR`
- **Writes (conditional):** `CR`
## Status-Register Effects
- `fsubsx`: **CR1** ← FPSCR[FX, FEX, VX, OX] when `Rc=1`.; **FPSCR** updated per IEEE-754 flags (FX, FEX, FPRF, FR, FI, exceptions).
## Operation (pseudocode)
```
; Pseudocode derives directly from the xenia-rs interpreter
; arm (see Implementation References). Operation semantics:
; - Read source operands from the fields listed under Operands.
; - Apply the arithmetic / logical / memory action described
; in the Description field above.
; - Write results to the destination register(s); update any
; status bits enumerated under Status-Register Effects.
; Consult the IBM AIX reference link under IBM Reference for
; canonical PPC-style pseudocode where xenia's expression is
; terse.
```
## C Translation Example
```c
/* C translation: the xenia-rs interpreter arm below in */
/* Implementation References is the authoritative semantic */
/* snapshot. Translate it line-by-line: */
/* - ctx.gpr[N] -> r[N] (or f[]/v[] for FPRs/VRs) */
/* - mem.read_u*/write_u* -> mem_read_u*_be / mem_write_u*_be */
/* - ctx.update_cr_signed(fld, v) -> update_cr_signed(fld, v) */
/* - ctx.xer_ca / xer_ov / xer_so -> xer.CA / xer.OV / xer.SO */
/* The Register Effects and Status-Register Effects tables above */
/* enumerate every side effect a faithful translation must emit. */
```
## Implementation References
**`fsubsx`**
- xenia-canary XML: [`tools/ppc-instructions.xml` — search for `mnem="fsubsx"`](../../xenia-canary/tools/ppc-instructions.xml)
- xenia-canary emit: [`src/xenia/cpu/ppc/ppc_emit_fpu.cc:135`](../../xenia-canary/src/xenia/cpu/ppc/ppc_emit_fpu.cc#L135)
- xenia-rs opcode: [`crates/xenia-cpu/src/opcode.rs:30`](../../xenia-rs/crates/xenia-cpu/src/opcode.rs#L30)
- xenia-rs decoder: [`crates/xenia-cpu/src/decoder.rs:387`](../../xenia-rs/crates/xenia-cpu/src/decoder.rs#L387)
- xenia-rs interpreter: [`crates/xenia-cpu/src/interpreter.rs:2585-2594`](../../xenia-rs/crates/xenia-cpu/src/interpreter.rs#L2585-L2594)
<details><summary>xenia-rs interpreter body (frozen snapshot)</summary>
```rust
PpcOpcode::fsubsx => {
let a = ctx.fpr[instr.ra()];
let b = ctx.fpr[instr.rb()];
fpscr::check_invalid_add(ctx, a, b, true);
let result = to_single(ctx, a - b);
ctx.fpr[instr.rd()] = result;
fpscr::update_after_op(ctx, result, a.is_finite() && b.is_finite());
if instr.rc_bit() { update_cr1_from_fpscr(ctx); }
ctx.pc += 4;
}
```
</details>
<!-- GENERATED: END -->
## Special Cases & Edge Conditions
- **Single precision.** Result is rounded to IEEE-754 binary32 then re-encoded into the destination 64-bit FPR using the binary64 representation. xenia-rs uses `to_single(a - b)` which performs the round trip via `f64 -> f32 -> f64`.
- **`±∞ ±∞`** sets `FPSCR[VXISI, VX, FX]` and yields a quiet NaN.
- **FPSCR side effects.** Always updated on hardware: `FPRF`, `FR`, `FI`, `FX`, plus exception bits `OX`, `UX`, `XX`, `VXISI`, `VXSNAN`. xenia-rs does **not** maintain FPSCR in the interpreter snapshot (xenia quirk).
- **`Rc=1` (`fsubs.`)** copies `FPSCR[FX, FEX, VX, OX]` into CR1.
- **NaN propagation.** Quiet-NaN result for any NaN operand; signalling NaNs are quietened.
- **Single-precision overflow.** A double-precision result that would round to a binary32 overflow returns ±∞ and sets `OX`/`XX`/`FX`.
- **Denormal flush.** Xenon boots with `FPSCR[NI]=1`; hardware flushes single-precision denormals to zero. xenia inherits host IEEE semantics.
- **Rounding mode** is taken from `FPSCR[RN]`; default is nearest-even.
- **Encoding.** A-form, primary 59, XO 20. `FRC` is don't-care.
## Related Instructions
- [`fsubx`](fsubx.md) — double-precision sibling.
- [`faddsx`](faddsx.md), [`fmulsx`](fmulsx.md), [`fdivsx`](fdivsx.md) — companion single-precision ops.
- [`fmsubsx`](fmsubsx.md), [`fnmsubsx`](fnmsubsx.md) — fused single-precision multiply-subtract.
- [`fnegx`](fnegx.md) — sign flip used to express subtract as add-of-negation.
- [`frspx`](frspx.md) — explicit double→single rounding (semantically equivalent to chaining `frsp(fsub(...))`).
## IBM Reference
- [AIX 7.3 — `fsubs` (Floating Subtract Single)](https://www.ibm.com/docs/en/aix/7.3.0?topic=set-fsubs-floating-subtract-single-instruction)
- [PowerISA v2.07B, Book I, Chapter 4 — Floating-Point Processor](https://openpowerfoundation.org/specifications/isa/).