Files
Sylpheed/tools/ppc-manual/fpu/fsubsx.md
sim f3c512f2ab docs(ppc-manual): check every xenia-rs claim against Canary's source
The hand-written parts of the manual still described how the retired
xenia-rs interpreter behaved: its snapshots, Rust casts and helpers. Each of
those 490 statements is now either restated as what Canary's emitters and
x64 backend actually do (at the pinned canary_experimental commit), or
dropped where it only made sense for xenia-rs.

Checking them turned up claims that were wrong, not just outdated:

- VSCR[SAT] is never modelled in Canary (DID_SATURATE is a stub and mfvscr
  cannot see it); the pages said saturating ops set it stickily.
- Canary does not implement lswi/lswx/stswi/stswx, dcbi, mtfsb0/mtfsb1,
  vmsum*, vmhaddshs, vupkhpx/vupklpx, and most SPRs; pages described them
  as working.
- Traps evaluate TO in Canary; stvebx/stvehx/stvewx store one element, not
  16 bytes; mtmsrd writes only EE; fres/frsqrte/vrsqrtefp precision claims
  and the stfs "rounds under RN / sets FPSCR" claim contradicted the spec.
- Reservations are a 64 KiB block bitmap plus a value compare, not
  per-address tracking.

Claims that neither Canary's source nor a public spec settles are marked
unverified (NI at boot, vmaddcfp128 operand order, estimate bit-exactness).

Generated regions are untouched; re-running the generator changes nothing.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
2026-09-16 21:52:38 +02:00

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fsubsx — Floating Subtract Single

Category: Floating-Point · Form: A · Opcode: 0xec000028

Assembler Mnemonics

Mnemonic XML entry Flags Description
fsubs fsubsx Floating Subtract Single
fsubs. fsubsx Rc=1 Floating Subtract Single

Syntax

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 (fr0fr31).
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)

; No hand-written pseudocode for this instruction yet.
; The authoritative semantics are the Canary emitter snapshot under
; Implementation References; about half of Canary's emitters open
; with the PPC-style definition as a comment (`RD <- (RA) + (RB)`).
; Every side effect is also enumerated in the Register Effects and
; Status-Register Effects tables above.

C Translation Example

/* No hand-written C yet. Translate the Canary emitter snapshot   */
/* under Implementation References; its HIR maps directly:        */
/*   f.LoadGPR(n) / f.StoreGPR(n, v)  -> r[n] / r[n] = v          */
/*   f.LoadFPR / StoreFPR, f.LoadVR / StoreVR -> f[n], v[n]        */
/*   f.Load(ea, T), f.Store(ea, v) -> raw read / write; emitters   */
/*     wrap them in f.ByteSwap for the big-endian guest value      */
/*   f.UpdateCR(n, v)  -> CR field n from v's LOW 32 BITS vs 0     */
/*   f.LoadCA / f.StoreCA -> xer.CA;  f.StoreSAT -> vscr.SAT       */
/*   i.XO.RA, i.D.DS, ... -> the bit-fields listed under Operands  */
/* The Register Effects and Status-Register Effects tables above  */
/* enumerate every side effect a faithful translation must emit.  */

Implementation References

fsubsx

Canary emitter (frozen snapshot @ f21ebd49e9)
int InstrEmit_fsubsx(PPCHIRBuilder& f, const InstrData& i) {
  // frD <- (frA) - (frB)
  Value* v = f.Sub(f.LoadFPR(i.A.FRA), f.LoadFPR(i.A.FRB));
  v = f.ToSingle(v);
  f.StoreFPR(i.A.FRT, v);
  f.UpdateFPSCR(v, i.A.Rc);
  return 0;
}

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. Canary emits ToSingle(Sub(a, b)): vsubsd, then the vcvtsd2ss + vcvtss2sd round trip.
  • ±∞ ±∞ 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. Canary does not maintain FPSCR (UpdateFPSCR is a stub).
  • 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. That Xenon boots with FPSCR[NI]=1 is unverified. Canary starts every guest thread in IEEE mode (MXCSR 0x1F80; its init comment flags the startup state as unchecked) and turns on the host's flush-to-zero (MXCSR.FZ) only when the guest sets NI through mtfsf/mtfsfi.
  • Rounding mode is taken from FPSCR[RN]; default is nearest-even.
  • Encoding. A-form, primary 59, XO 20. FRC is don't-care.
  • fsubx — double-precision sibling.
  • faddsx, fmulsx, fdivsx — companion single-precision ops.
  • fmsubsx, fnmsubsx — fused single-precision multiply-subtract.
  • fnegx — sign flip used to express subtract as add-of-negation.
  • frspx — explicit double→single rounding (semantically equivalent to chaining frsp(fsub(...))).

IBM Reference