Files
Sylpheed/tools/ppc-manual/fpu/fselx.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Checking them turned up claims that were wrong, not just outdated: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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fselx — Floating Select

Category: Floating-Point · Form: A · Opcode: 0xfc00002e

Assembler Mnemonics

Mnemonic XML entry Flags Description
fsel fselx Floating Select
fsel. fselx Rc=1 Floating Select

Syntax

fsel[Rc] [FD], [FA], [FC], [FB]

Encoding

fselx — form A

  • Opcode word: 0xfc00002e
  • Primary opcode (bits 05): 63
  • Extended opcode: 23
  • 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 fselx: read Source A floating-point register (fr0fr31).
FC fselx: read Source C floating-point register (for madd-style ops).
FB fselx: read Source B floating-point register.
FD fselx: write Destination floating-point register.
CR fselx: write (conditional) Condition-register update. When Rc=1, CR field 0 (or CR6 for vector compares, CR1 for FPU) is updated from the result.

Register Effects

fselx

  • Reads (always): FA, FC, FB
  • Reads (conditional): none
  • Writes (always): FD
  • Writes (conditional): CR

Status-Register Effects

  • fselx: CR1 ← FPSCR[FX, FEX, VX, OX] when Rc=1.

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

fselx

Canary emitter (frozen snapshot @ f21ebd49e9)
int InstrEmit_fselx(PPCHIRBuilder& f, const InstrData& i) {
  // if (frA) >= 0.0
  // then frD <- (frC)
  // else frD <- (frB)
  Value* ge = f.CompareSGE(f.LoadFPR(i.A.FRA), f.LoadZeroFloat64());
  Value* v = f.Select(ge, f.LoadFPR(i.A.FRC), f.LoadFPR(i.A.FRB));
  f.StoreFPR(i.A.FRT, v);
  f.UpdateFPSCR(v, i.A.Rc);
  return 0;
}

Special Cases & Edge Conditions

  • Non-IEEE branch-free select. PowerPC-specific; not in the IEEE-754 spec. Semantics: FRT = (FRA >= 0.0) ? FRC : FRB. Used pervasively in compiled PPC for min/max/clamp/copysign without branches. Canary emits Select(CompareSGE(FRA, 0.0), FRC, FRB); the x64 compare is vcomisd + setae, which is false for a NaN, so a NaN in FRA selects FRB as on PPC.
  • -0.0 selects FRC. Per PowerISA, -0 compares as >= 0, so it routes to FRC (the "true" branch). Canary's vcomisd reports -0.0 equal to 0.0, so setae is true — a match.
  • NaN selects FRB. Per PowerISA, NaN does not satisfy >= 0, so the result is FRB. Canary's vcomisd + setae is false for an unordered compare, so FRB is selected. Match.
  • No FPSCR side effects. fsel does not raise VXSNAN even on signalling NaN inputs, and does not update FPRF. It is purely a data-movement op.
  • Rc=1 (fsel.) copies FPSCR[FX, FEX, VX, OX] into CR1.
  • A-form encoding. Reads FRA, FRB, FRC, writes FRT. Assembler order: fsel FD, FA, FC, FB (note: FRC before FRB).
  • Common idioms.
    • min(a,b) = fsel(a-b, b, a)
    • max(a,b) = fsel(a-b, a, b)
    • clamp(x, lo, hi) = fsel(x-lo, fsel(hi-x, x, hi), lo)
    • copysign(x, y) = fsel(y, |x|, -|x|) (using fabs/fnabs)
  • Optional ISA. fsel is an optional PowerISA instruction; some implementations trap. Xenon implements it natively.
  • No precision change. Bit-pattern selection — no rounding regardless of source precision.
  • fabsx, fnegx, fnabsx — sign-bit ops; common companions for fsel-based copysign/clamp idioms.
  • fsubx — subtract is the standard way to produce the comparison key (a - b).
  • fcmpux, fcmpox — IEEE compare with branch; the heavyweight alternative to fsel.
  • fmrx — unconditional copy.

IBM Reference