# `vlogefp` — Vector Log2 Estimate Floating Point > **Category:** [VMX (Altivec)](../categories/vmx.md) · **Form:** [VX](../forms/VX.md) · **Opcode:** `0x100001ca` ## Assembler Mnemonics | Mnemonic | XML entry | Flags | Description | | --- | --- | --- | --- | | `vlogefp` | `vlogefp` | — | Vector Log2 Estimate Floating Point | | `vlogefp128` | `vlogefp128` | — | Vector128 Log2 Estimate Floating Point | ## Syntax ```asm vlogefp [VD], [VB] vlogefp128 [VD], [VB] ``` ## Encoding ### `vlogefp` — form `VX` - **Opcode word:** `0x100001ca` - **Primary opcode (bits 0–5):** `4` - **Extended opcode:** `458` - **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) | ### `vlogefp128` — form `VX128_3` - **Opcode word:** `0x180006f0` - **Primary opcode (bits 0–5):** `6` - **Extended opcode:** `1776` - **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` | vlogefp: read; vlogefp128: read | Source B vector register. | | `VD` | vlogefp: write; vlogefp128: write | Destination vector register. | ## Register Effects ### `vlogefp` - **Reads (always):** `VB` - **Reads (conditional):** _none_ - **Writes (always):** `VD` - **Writes (conditional):** _none_ ### `vlogefp128` - **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 **`vlogefp`** - xenia-canary XML: [`tools/ppc-instructions.xml` — search for `mnem="vlogefp"`](../../xenia-canary/tools/ppc-instructions.xml) - xenia-canary emit: [`src/xenia/cpu/ppc/ppc_emit_altivec.cc:779`](../../xenia-canary/src/xenia/cpu/ppc/ppc_emit_altivec.cc#L779) - xenia-rs opcode: [`crates/xenia-cpu/src/opcode.rs:99`](../../xenia-rs/crates/xenia-cpu/src/opcode.rs#L99) - xenia-rs decoder: [`crates/xenia-cpu/src/decoder.rs:473`](../../xenia-rs/crates/xenia-cpu/src/decoder.rs#L473) - xenia-rs interpreter: [`crates/xenia-cpu/src/interpreter.rs:4377-4386`](../../xenia-rs/crates/xenia-cpu/src/interpreter.rs#L4377-L4386)
xenia-rs interpreter body (frozen snapshot) ```rust PpcOpcode::vlogefp | PpcOpcode::vlogefp128 => { let is_128 = matches!(instr.opcode, PpcOpcode::vlogefp128); let (rb, rd) = if is_128 { (instr.vb128(), instr.vd128()) } else { (instr.rb(), instr.rd()) }; let b = ctx.vr[rb].as_f32x4(); let mut r = [0f32; 4]; for i in 0..4 { r[i] = b[i].log2(); } ctx.vr[rd] = xenia_types::Vec128::from_f32x4_array(r); ctx.pc += 4; } ```
**`vlogefp128`** - xenia-canary XML: [`tools/ppc-instructions.xml` — search for `mnem="vlogefp128"`](../../xenia-canary/tools/ppc-instructions.xml) - xenia-canary emit: [`src/xenia/cpu/ppc/ppc_emit_altivec.cc:782`](../../xenia-canary/src/xenia/cpu/ppc/ppc_emit_altivec.cc#L782) - xenia-rs opcode: [`crates/xenia-cpu/src/opcode.rs:99`](../../xenia-rs/crates/xenia-cpu/src/opcode.rs#L99) - xenia-rs decoder: [`crates/xenia-cpu/src/decoder.rs:667`](../../xenia-rs/crates/xenia-cpu/src/decoder.rs#L667) - xenia-rs interpreter: [`crates/xenia-cpu/src/interpreter.rs:4377-4386`](../../xenia-rs/crates/xenia-cpu/src/interpreter.rs#L4377-L4386)
xenia-rs interpreter body (frozen snapshot) ```rust PpcOpcode::vlogefp | PpcOpcode::vlogefp128 => { let is_128 = matches!(instr.opcode, PpcOpcode::vlogefp128); let (rb, rd) = if is_128 { (instr.vb128(), instr.vd128()) } else { (instr.rb(), instr.rd()) }; let b = ctx.vr[rb].as_f32x4(); let mut r = [0f32; 4]; for i in 0..4 { r[i] = b[i].log2(); } ctx.vr[rd] = xenia_types::Vec128::from_f32x4_array(r); ctx.pc += 4; } ```
## Special Cases & Edge Conditions - **Per-lane base-2 logarithm.** Each of the four word lanes computes `VD[i] = log2(VB[i])` in `binary32`. **Note:** the IBM manual specifies a low-precision estimate (≤ 1/32 ULP relative error). Xenia uses Rust's `f32::log2`, which is full-precision; hardware-precise programs may observe small numerical differences. - **Use `vexptefp` for the inverse.** Pair gives `2^(log2(x)) ≈ x` for positive finite `x`. - **Big-endian word lanes.** Lane 0 is the most-significant word. - **NaN, negatives, zero, ±∞.** `log2(negative)` and `log2(NaN)` produce NaN; `log2(+0) = -∞`; `log2(-0) = -∞` (per IEEE-754); `log2(+∞) = +∞`. None of these stickies `VSCR[SAT]` — float ops never touch SAT. - **No exception, no `VSCR[SAT]` change, no XER change.** - **VMX128 sibling (`vlogefp128`).** Identical semantics with the extended encoding. - **Natural log via change-of-base.** `ln(x) = log2(x) * (1 / log2(e))` — multiply by a constant with `vmaddfp`. ## Related Instructions - [`vexptefp`](vexptefp.md) — base-2 exponent (the inverse). - [`vrefp`](vrefp.md) — reciprocal estimate. - [`vrsqrtefp`](vrsqrtefp.md) — reciprocal-square-root estimate. - [`vmaddfp`](vmaddfp.md) — fused multiply-add for change-of-base scaling. ## IBM Reference - [AIX 7.3 — `vlogefp` (Vector log2 Estimate Floating Point)](https://www.ibm.com/docs/en/aix/7.3.0?topic=set-vlogefp-vector-log2-estimate-floating-point-instruction) - [IBM AltiVec Technology Programmer's Interface Manual, Chapter 5 — Estimate Instructions](https://www.nxp.com/docs/en/reference-manual/ALTIVECPIM.pdf)