# `vrsqrtefp` — Vector Reciprocal Square Root Estimate Floating Point
> **Category:** [VMX (Altivec)](../categories/vmx.md) · **Form:** [VX](../forms/VX.md) · **Opcode:** `0x1000014a`
## Assembler Mnemonics
| Mnemonic | XML entry | Flags | Description |
| --- | --- | --- | --- |
| `vrsqrtefp` | `vrsqrtefp` | — | Vector Reciprocal Square Root Estimate Floating Point |
| `vrsqrtefp128` | `vrsqrtefp128` | — | Vector128 Reciprocal Square Root Estimate Floating Point |
## Syntax
```asm
vrsqrtefp [VD], [VB]
vrsqrtefp128 [VD], [VB]
```
## Encoding
### `vrsqrtefp` — form `VX`
- **Opcode word:** `0x1000014a`
- **Primary opcode (bits 0–5):** `4`
- **Extended opcode:** `330`
- **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) |
### `vrsqrtefp128` — form `VX128_3`
- **Opcode word:** `0x18000670`
- **Primary opcode (bits 0–5):** `6`
- **Extended opcode:** `1648`
- **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` | vrsqrtefp: read; vrsqrtefp128: read | Source B vector register. |
| `VD` | vrsqrtefp: write; vrsqrtefp128: write | Destination vector register. |
## Register Effects
### `vrsqrtefp`
- **Reads (always):** `VB`
- **Reads (conditional):** _none_
- **Writes (always):** `VD`
- **Writes (conditional):** _none_
### `vrsqrtefp128`
- **Reads (always):** `VB`
- **Reads (conditional):** _none_
- **Writes (always):** `VD`
- **Writes (conditional):** _none_
## Status-Register Effects
_No condition-register or status-register effects._
## 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
**`vrsqrtefp`**
- xenia-canary XML: [`tools/ppc-instructions.xml` — search for `mnem="vrsqrtefp"`](../../xenia-canary/tools/ppc-instructions.xml)
- xenia-canary emit: [`src/xenia/cpu/ppc/ppc_emit_altivec.cc:1371`](../../xenia-canary/src/xenia/cpu/ppc/ppc_emit_altivec.cc#L1371)
- xenia-rs opcode: [`crates/xenia-cpu/src/opcode.rs:120`](../../xenia-rs/crates/xenia-cpu/src/opcode.rs#L120)
- xenia-rs decoder: [`crates/xenia-cpu/src/decoder.rs:463`](../../xenia-rs/crates/xenia-cpu/src/decoder.rs#L463)
- xenia-rs interpreter: [`crates/xenia-cpu/src/interpreter.rs:2162-2170`](../../xenia-rs/crates/xenia-cpu/src/interpreter.rs#L2162-L2170)
xenia-rs interpreter body (frozen snapshot)
```rust
PpcOpcode::vrsqrtefp | PpcOpcode::vrsqrtefp128 => {
let vb = if matches!(instr.opcode, PpcOpcode::vrsqrtefp128) { instr.vb128() } else { instr.rb() };
let vd = if matches!(instr.opcode, PpcOpcode::vrsqrtefp128) { instr.vd128() } else { instr.rd() };
let b = ctx.vr[vb].as_f32x4();
let mut r = [0f32; 4];
for i in 0..4 { r[i] = 1.0 / b[i].sqrt(); }
ctx.vr[vd] = xenia_types::Vec128::from_f32x4_array(r);
ctx.pc += 4;
}
```
xenia-rs interpreter body (frozen snapshot)
```rust
PpcOpcode::vrsqrtefp | PpcOpcode::vrsqrtefp128 => {
let vb = if matches!(instr.opcode, PpcOpcode::vrsqrtefp128) { instr.vb128() } else { instr.rb() };
let vd = if matches!(instr.opcode, PpcOpcode::vrsqrtefp128) { instr.vd128() } else { instr.rd() };
let b = ctx.vr[vb].as_f32x4();
let mut r = [0f32; 4];
for i in 0..4 { r[i] = 1.0 / b[i].sqrt(); }
ctx.vr[vd] = xenia_types::Vec128::from_f32x4_array(r);
ctx.pc += 4;
}
```