# `vrfim` — Vector Round to Floating-Point Integer toward -Infinity
> **Category:** [VMX (Altivec)](../categories/vmx.md) · **Form:** [VX](../forms/VX.md) · **Opcode:** `0x100002ca`
## Assembler Mnemonics
| Mnemonic | XML entry | Flags | Description |
| --- | --- | --- | --- |
| `vrfim` | `vrfim` | — | Vector Round to Floating-Point Integer toward -Infinity |
| `vrfim128` | `vrfim128` | — | Vector128 Round to Floating-Point Integer toward -Infinity |
## Syntax
```asm
vrfim [VD], [VB]
vrfim128 [VD], [VB]
```
## Encoding
### `vrfim` — form `VX`
- **Opcode word:** `0x100002ca`
- **Primary opcode (bits 0–5):** `4`
- **Extended opcode:** `714`
- **Synchronising:** no
| Bits | Field | Meaning |
| --- | --- | --- |
| 0–5 | `OPCD` | primary opcode (4) |
| 6–10 | `VRT/VD` | destination vector register |
| 11–15 | `VRA/VA` | source A vector register |
| 16–20 | `VRB/VB` | source B vector register |
| 21–31 | `XO` | extended opcode (11 bits) |
### `vrfim128` — form `VX128_3`
- **Opcode word:** `0x18000330`
- **Primary opcode (bits 0–5):** `6`
- **Extended opcode:** `816`
- **Synchronising:** no
| Bits | Field | Meaning |
| --- | --- | --- |
| 0–5 | `OPCD` | primary opcode (6) |
| 6–10 | `VD128l` | destination low 5 bits |
| 11–15 | `IMM` | 5-bit immediate |
| 16–20 | `VB128l` | source B low 5 bits |
| 21–27 | `XO` | extended opcode |
| 28–29 | `VD128h` | destination high 2 bits |
| 30–31 | `VB128h` | source B high 2 bits |
## Operands
| Field | Role | Description |
| --- | --- | --- |
| `VB` | vrfim: read; vrfim128: read | Source B vector register. |
| `VD` | vrfim: write; vrfim128: write | Destination vector register. |
## Register Effects
### `vrfim`
- **Reads (always):** `VB`
- **Reads (conditional):** _none_
- **Writes (always):** `VD`
- **Writes (conditional):** _none_
### `vrfim128`
- **Reads (always):** `VB`
- **Reads (conditional):** _none_
- **Writes (always):** `VD`
- **Writes (conditional):** _none_
## Status-Register Effects
_No condition-register or status-register effects._
## 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
```c
/* 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
**`vrfim`**
- Canary XML: [`tools/ppc-instructions.xml` — search for `mnem="vrfim"`](https://github.com/xenia-canary/xenia-canary/blob/f21ebd49e979e44f081f474df78c3fbfee9cb3f2/tools/ppc-instructions.xml)
- Canary emitter: [`src/xenia/cpu/ppc/ppc_emit_altivec.cc:1216`](https://github.com/xenia-canary/xenia-canary/blob/f21ebd49e979e44f081f474df78c3fbfee9cb3f2/src/xenia/cpu/ppc/ppc_emit_altivec.cc#L1216)
- Sylpheed opcode: [`crates/sylpheed-ppc/src/opcode.rs:423`](../../../crates/sylpheed-ppc/src/opcode.rs#L423)
- Sylpheed decoder: [`crates/sylpheed-ppc/src/decoder.rs:611`](../../../crates/sylpheed-ppc/src/decoder.rs#L611)
Canary emitter (frozen snapshot @ f21ebd49e9)
```cpp
int InstrEmit_vrfim(PPCHIRBuilder& f, const InstrData& i) {
return InstrEmit_vrfim_(f, i.VX.VD, i.VX.VB);
}
// ── delegates to (src/xenia/cpu/ppc/ppc_emit_altivec.cc:1210) ──
int InstrEmit_vrfim_(PPCHIRBuilder& f, uint32_t vd, uint32_t vb) {
// (VD) <- RndToFPInt32Floor(VB)
Value* v = f.Round(f.LoadVR(vb), ROUND_TO_MINUS_INFINITY);
f.StoreVR(vd, v);
return 0;
}
```
**`vrfim128`**
- Canary XML: [`tools/ppc-instructions.xml` — search for `mnem="vrfim128"`](https://github.com/xenia-canary/xenia-canary/blob/f21ebd49e979e44f081f474df78c3fbfee9cb3f2/tools/ppc-instructions.xml)
- Canary emitter: [`src/xenia/cpu/ppc/ppc_emit_altivec.cc:1219`](https://github.com/xenia-canary/xenia-canary/blob/f21ebd49e979e44f081f474df78c3fbfee9cb3f2/src/xenia/cpu/ppc/ppc_emit_altivec.cc#L1219)
- Sylpheed opcode: [`crates/sylpheed-ppc/src/opcode.rs:424`](../../../crates/sylpheed-ppc/src/opcode.rs#L424)
- Sylpheed decoder: [`crates/sylpheed-ppc/src/decoder.rs:775`](../../../crates/sylpheed-ppc/src/decoder.rs#L775)
Canary emitter (frozen snapshot @ f21ebd49e9)
```cpp
int InstrEmit_vrfim128(PPCHIRBuilder& f, const InstrData& i) {
return InstrEmit_vrfim_(f, VX128_3_VD128, VX128_3_VB128);
}
// ── delegates to (src/xenia/cpu/ppc/ppc_emit_altivec.cc:1210) ──
int InstrEmit_vrfim_(PPCHIRBuilder& f, uint32_t vd, uint32_t vb) {
// (VD) <- RndToFPInt32Floor(VB)
Value* v = f.Round(f.LoadVR(vb), ROUND_TO_MINUS_INFINITY);
f.StoreVR(vd, v);
return 0;
}
```
## Special Cases & Edge Conditions
- **Round toward minus-infinity (floor).** Each 32-bit float lane of `VB` is rounded down to the nearest integer value still representable as a float. `3.2 → 3.0`, `−3.2 → −4.0`.
- **IEEE-754 binary32 output; `VSCR[NJ]` honoured** (denormal flush-to-zero).
- **Integer-too-big lanes are a no-op:** values already ≥ 2²³ in magnitude are all-integer and unchanged.
- **NaN propagation.** NaN input → NaN output. `±∞` → `±∞`.
- **No VSCR[SAT], no FPSCR update.** No "inexact" trap flag; this is the VMX rounding variant that deliberately ignores FPSCR's rounding mode.
- **Big-endian lane indexing.**
- **VMX128 sibling `vrfim128`.**
## Related Instructions
- [`vrfin`](vrfin.md) — round to nearest (ties-to-even).
- [`vrfip`](vrfip.md) — round toward +∞ (ceiling).
- [`vrfiz`](vrfiz.md) — round toward zero (truncate).
- [`vctsxs`](vctsxs.md), [`vctuxs`](vctuxs.md) — float → fixed-point integer conversion with explicit scale.
## IBM Reference
- [AIX 7.3 — `vrfim` (Vector Round to Floating-Point Integer toward Minus Infinity)](https://www.ibm.com/docs/en/aix/7.3.0?topic=set-vrfim-vector-round-floating-point-integer-toward-minus-infinity-instruction)
- [IBM AltiVec Technology Programmer's Interface Manual, Chapter 5 — Floating-Point Arithmetic](https://www.nxp.com/docs/en/reference-manual/ALTIVECPIM.pdf)