xtrain/crates/xtrain-autodiff/tests/autograd.rs

// GPU acceptance tests for the Phase T4 autograd engine + per-op backward.
// Pattern (from xtrain-tensor/tests/gemm.rs `run_bwd`): build a scalar loss
// L = sum(W ∘ out) with W fixed random ⇒ the upstream grad dOut = W. Run the op
// through the tape, call backward(), and grad-check each input's .grad() against
// central finite differences of L.
//
// Gated behind `not(no_cuda)`: compiles out on a GPU-less host, runs on dash5.
#![cfg(not(no_cuda))]

use xtrain_autodiff::ops;
use xtrain_autodiff::tape::Var;
use xtrain_autodiff::{GradCheckConfig, grad_check};
use xtrain_cuda::device;
use xtrain_tensor::{Device, Tensor};

// Deterministic LCG fill in [-0.5, 0.5), same as the gemm tests.
fn fill(n: usize, seed: u64) -> Vec<f32> {
    let mut state = seed
        .wrapping_mul(2862933555777941757)
        .wrapping_add(3037000493);
    (0..n)
        .map(|_| {
            state = state
                .wrapping_mul(6364136223846793005)
                .wrapping_add(1442695040888963407);
            ((state >> 33) as f32 / (1u64 << 31) as f32) - 0.5
        })
        .collect()
}

fn require_gpu() {
    assert!(
        device::device_count().expect("device count") > 0,
        "no CUDA device"
    );
    device::set_device(0).unwrap();
}

fn cuda(data: &[f32], shape: &[usize]) -> Tensor {
    Tensor::from_slice(data, shape).to_device(Device::Cuda(0))
}

// L = sum(W ∘ out) for fixed weights W over the op output.
fn weighted_sum(out: &Tensor, w: &[f32]) -> f32 {
    out.to_device(Device::Cpu)
        .as_slice::<f32>()
        .iter()
        .zip(w)
        .map(|(o, w)| o * w)
        .sum()
}

// Tolerances: ops with elementwise/linear forwards (add, mul, scale, bias, rope)
// are exactly linear in each input, so a large eps just sharpens f32 resolution.
// Nonlinear ops (rms_norm, silu, softmax, cross_entropy) carry O(eps²) truncation
// → smaller eps. atol floors near-zero grads.
fn cfg_linear() -> GradCheckConfig {
    GradCheckConfig {
        eps: 1e-2,
        rel_tol: 2e-2,
        atol: 1e-3,
    }
}
fn cfg_nonlinear() -> GradCheckConfig {
    GradCheckConfig {
        eps: 1e-3,
        rel_tol: 3e-2,
        atol: 1e-3,
    }
}

fn report(name: &str, res: &xtrain_autodiff::GradCheckResult) {
    println!(
        "{name}: max_rel_err = {:.3e} (worst num={:.5} ana={:.5} @ {})",
        res.max_rel_err, res.worst_numeric, res.worst_analytic, res.worst_index
    );
    assert!(res.passed, "{name} grad-check failed: {res:?}");
}

// ---- add ----
#[test]
fn add_bwd() {
    require_gpu();
    let (m, n) = (8, 6);
    let a_h = fill(m * n, 1);
    let b_h = fill(m * n, 2);
    let w = fill(m * n, 3);

    let a = Var::leaf(cuda(&a_h, &[m, n]));
    let b = Var::leaf(cuda(&b_h, &[m, n]));
    let out = ops::add(&a, &b);
    let loss = scalar_loss(&out, &w);
    loss.backward();

    let da = a.grad().unwrap().to_device(Device::Cpu);
    let db = b.grad().unwrap().to_device(Device::Cpu);
    let bf = b_h.clone();
    let wf = w.clone();
    let la = move |v: &[f32], s: &[usize]| {
        let o = cuda(v, s).add(&cuda(&bf, &[m, n]));
        weighted_sum(&o, &wf)
    };
    report(
        "add dA",
        &grad_check(&a_h, &[m, n], &la, da.as_slice::<f32>(), cfg_linear()),
    );
    let af = a_h.clone();
    let wf = w.clone();
    let lb = move |v: &[f32], s: &[usize]| {
        let o = cuda(&af, &[m, n]).add(&cuda(v, s));
        weighted_sum(&o, &wf)
    };
    report(
        "add dB",
        &grad_check(&b_h, &[m, n], &lb, db.as_slice::<f32>(), cfg_linear()),
    );
}

// ---- mul ----
#[test]
fn mul_bwd() {
    require_gpu();
    let (m, n) = (8, 6);
    let a_h = fill(m * n, 11);
    let b_h = fill(m * n, 22);
    let w = fill(m * n, 33);

    let a = Var::leaf(cuda(&a_h, &[m, n]));
    let b = Var::leaf(cuda(&b_h, &[m, n]));
    let out = ops::mul(&a, &b);
    scalar_loss(&out, &w).backward();

    let da = a.grad().unwrap().to_device(Device::Cpu);
    let db = b.grad().unwrap().to_device(Device::Cpu);
    let bf = b_h.clone();
    let wf = w.clone();
    let la = move |v: &[f32], s: &[usize]| weighted_sum(&cuda(v, s).mul(&cuda(&bf, &[m, n])), &wf);
    report(
        "mul dA",
        &grad_check(&a_h, &[m, n], &la, da.as_slice::<f32>(), cfg_linear()),
    );
    let af = a_h.clone();
    let wf = w.clone();
    let lb = move |v: &[f32], s: &[usize]| weighted_sum(&cuda(&af, &[m, n]).mul(&cuda(v, s)), &wf);
    report(
        "mul dB",
        &grad_check(&b_h, &[m, n], &lb, db.as_slice::<f32>(), cfg_linear()),
    );
}

// ---- add_bias (broadcast) ----
#[test]
fn add_bias_bwd() {
    require_gpu();
    let (m, n) = (10, 7);
    let x_h = fill(m * n, 5);
    let b_h = fill(n, 6);
    let w = fill(m * n, 7);

    let x = Var::leaf(cuda(&x_h, &[m, n]));
    let bias = Var::leaf(cuda(&b_h, &[n]));
    let out = ops::add_bias(&x, &bias);
    scalar_loss(&out, &w).backward();

    let dx = x.grad().unwrap().to_device(Device::Cpu);
    let dbias = bias.grad().unwrap().to_device(Device::Cpu);
    let bf = b_h.clone();
    let wf = w.clone();
    let lx =
        move |v: &[f32], s: &[usize]| weighted_sum(&cuda(v, s).add_bias(&cuda(&bf, &[n])), &wf);
    report(
        "add_bias dX",
        &grad_check(&x_h, &[m, n], &lx, dx.as_slice::<f32>(), cfg_linear()),
    );
    let xf = x_h.clone();
    let wf = w.clone();
    let lb =
        move |v: &[f32], s: &[usize]| weighted_sum(&cuda(&xf, &[m, n]).add_bias(&cuda(v, s)), &wf);
    report(
        "add_bias dBias",
        &grad_check(&b_h, &[n], &lb, dbias.as_slice::<f32>(), cfg_linear()),
    );
}

// ---- matmul (sanity through the Var layer; T3 already checks the kernel) ----
#[test]
fn matmul_bwd() {
    require_gpu();
    let (m, k, n) = (6, 5, 4);
    let a_h = fill(m * k, 41);
    let b_h = fill(k * n, 42);
    let w = fill(m * n, 43);

    let a = Var::leaf(cuda(&a_h, &[m, k]));
    let b = Var::leaf(cuda(&b_h, &[k, n]));
    let out = ops::matmul(&a, &b);
    scalar_loss(&out, &w).backward();

    let da = a.grad().unwrap().to_device(Device::Cpu);
    let db = b.grad().unwrap().to_device(Device::Cpu);
    let bf = b_h.clone();
    let wf = w.clone();
    let la =
        move |v: &[f32], s: &[usize]| weighted_sum(&cuda(v, s).matmul(&cuda(&bf, &[k, n])), &wf);
    report(
        "matmul dA",
        &grad_check(&a_h, &[m, k], &la, da.as_slice::<f32>(), cfg_linear()),
    );
    let af = a_h.clone();
    let wf = w.clone();
    let lb =
        move |v: &[f32], s: &[usize]| weighted_sum(&cuda(&af, &[m, k]).matmul(&cuda(v, s)), &wf);
    report(
        "matmul dB",
        &grad_check(&b_h, &[k, n], &lb, db.as_slice::<f32>(), cfg_linear()),
    );
}

// ---- rms_norm ----
#[test]
fn rms_norm_bwd() {
    require_gpu();
    let (rows, cols) = (5, 16);
    let eps = 1e-5;
    let x_h = fill(rows * cols, 51);
    let g_h: Vec<f32> = fill(cols, 52).iter().map(|v| v + 1.0).collect(); // gamma ~1
    let w = fill(rows * cols, 53);

    let x = Var::leaf(cuda(&x_h, &[rows, cols]));
    let gamma = Var::leaf(cuda(&g_h, &[cols]));
    let out = ops::rms_norm(&x, &gamma, eps);
    scalar_loss(&out, &w).backward();

    let dx = x.grad().unwrap().to_device(Device::Cpu);
    let dg = gamma.grad().unwrap().to_device(Device::Cpu);
    let gf = g_h.clone();
    let wf = w.clone();
    let lx = move |v: &[f32], s: &[usize]| {
        let (o, _) = cuda(v, s).rms_norm(&cuda(&gf, &[cols]), eps);
        weighted_sum(&o, &wf)
    };
    report(
        "rms_norm dX",
        &grad_check(
            &x_h,
            &[rows, cols],
            &lx,
            dx.as_slice::<f32>(),
            cfg_nonlinear(),
        ),
    );
    let xf = x_h.clone();
    let wf = w.clone();
    let lg = move |v: &[f32], s: &[usize]| {
        let (o, _) = cuda(&xf, &[rows, cols]).rms_norm(&cuda(v, s), eps);
        weighted_sum(&o, &wf)
    };
    report(
        "rms_norm dGamma",
        &grad_check(&g_h, &[cols], &lg, dg.as_slice::<f32>(), cfg_nonlinear()),
    );
}

// ---- silu ----
#[test]
fn silu_bwd() {
    require_gpu();
    let n = 64;
    let x_h = fill(n, 61);
    let w = fill(n, 62);

    let x = Var::leaf(cuda(&x_h, &[n]));
    let out = ops::silu(&x);
    scalar_loss(&out, &w).backward();

    let dx = x.grad().unwrap().to_device(Device::Cpu);
    let wf = w.clone();
    let lx = move |v: &[f32], s: &[usize]| weighted_sum(&cuda(v, s).silu(), &wf);
    report(
        "silu dX",
        &grad_check(&x_h, &[n], &lx, dx.as_slice::<f32>(), cfg_nonlinear()),
    );
}

// ---- swiglu (composed: silu(gate) ∘ up) ----
#[test]
fn swiglu_bwd() {
    require_gpu();
    let n = 48;
    let g_h = fill(n, 71);
    let u_h = fill(n, 72);
    let w = fill(n, 73);

    let gate = Var::leaf(cuda(&g_h, &[n]));
    let up = Var::leaf(cuda(&u_h, &[n]));
    let out = ops::swiglu(&gate, &up);
    scalar_loss(&out, &w).backward();

    let dg = gate.grad().unwrap().to_device(Device::Cpu);
    let du = up.grad().unwrap().to_device(Device::Cpu);
    let uf = u_h.clone();
    let wf = w.clone();
    let lg =
        move |v: &[f32], s: &[usize]| weighted_sum(&cuda(v, s).silu().mul(&cuda(&uf, &[n])), &wf);
    report(
        "swiglu dGate",
        &grad_check(&g_h, &[n], &lg, dg.as_slice::<f32>(), cfg_nonlinear()),
    );
    let gf = g_h.clone();
    let wf = w.clone();
    let lu =
        move |v: &[f32], s: &[usize]| weighted_sum(&cuda(&gf, &[n]).silu().mul(&cuda(v, s)), &wf);
    report(
        "swiglu dUp",
        &grad_check(&u_h, &[n], &lu, du.as_slice::<f32>(), cfg_linear()),
    );
}

// ---- rope ----
#[test]
fn rope_bwd() {
    require_gpu();
    let (tokens, heads, head_dim) = (4, 2, 8);
    let n = tokens * heads * head_dim;
    let theta = 10000.0;
    let x_h = fill(n, 81);
    let w = fill(n, 82);

    let x = Var::leaf(cuda(&x_h, &[tokens, heads, head_dim]));
    let out = ops::rope(&x, theta, tokens);
    scalar_loss(&out, &w).backward();

    let dx = x.grad().unwrap().to_device(Device::Cpu);
    let wf = w.clone();
    let lx = move |v: &[f32], s: &[usize]| weighted_sum(&cuda(v, s).rope(theta, tokens), &wf);
    report(
        "rope dX",
        &grad_check(
            &x_h,
            &[tokens, heads, head_dim],
            &lx,
            dx.as_slice::<f32>(),
            cfg_linear(),
        ),
    );
}

// ---- rope batched (per-sequence position = row % period) ----
// tokens = B*S laid end to end; period = S. Sequences 2 and 3 re-use positions
// 0..S, so the kernel's `tok % period` must reset RoPE per sequence.
#[test]
fn rope_batched_bwd() {
    require_gpu();
    let (b, s, heads, head_dim) = (3, 4, 2, 8);
    let tokens = b * s;
    let n = tokens * heads * head_dim;
    let theta = 10000.0;
    let x_h = fill(n, 83);
    let w = fill(n, 84);

    let x = Var::leaf(cuda(&x_h, &[tokens, heads, head_dim]));
    let out = ops::rope(&x, theta, s);
    scalar_loss(&out, &w).backward();

    let dx = x.grad().unwrap().to_device(Device::Cpu);
    let wf = w.clone();
    let lx = move |v: &[f32], sh: &[usize]| weighted_sum(&cuda(v, sh).rope(theta, s), &wf);
    report(
        "rope batched dX",
        &grad_check(
            &x_h,
            &[tokens, heads, head_dim],
            &lx,
            dx.as_slice::<f32>(),
            cfg_linear(),
        ),
    );
}

// ---- softmax ----
#[test]
fn softmax_bwd() {
    require_gpu();
    let (rows, cols) = (4, 10);
    let x_h = fill(rows * cols, 91);
    let w = fill(rows * cols, 92);

    let x = Var::leaf(cuda(&x_h, &[rows, cols]));
    let out = ops::softmax(&x);
    scalar_loss(&out, &w).backward();

    let dx = x.grad().unwrap().to_device(Device::Cpu);
    let wf = w.clone();
    let lx = move |v: &[f32], s: &[usize]| weighted_sum(&cuda(v, s).softmax(), &wf);
    report(
        "softmax dX",
        &grad_check(
            &x_h,
            &[rows, cols],
            &lx,
            dx.as_slice::<f32>(),
            cfg_nonlinear(),
        ),
    );
}

// ---- cross_entropy (scalar loss; backward = (softmax - onehot)/rows) ----
#[test]
fn cross_entropy_bwd() {
    require_gpu();
    let (rows, cols) = (5, 8);
    let x_h = fill(rows * cols, 101);
    let targets: Vec<i32> = (0..rows).map(|r| (r * 3 % cols) as i32).collect();
    let target = Tensor::from_slice(&targets, &[rows]).to_device(Device::Cuda(0));

    let x = Var::leaf(cuda(&x_h, &[rows, cols]));
    let loss = ops::cross_entropy(&x, &target);
    loss.backward();

    let dx = x.grad().unwrap().to_device(Device::Cpu);
    // Loss is already scalar (mean NLL) — grad-check it directly, no W weighting.
    let tgt = targets.clone();
    let lx = move |v: &[f32], s: &[usize]| {
        let t = Tensor::from_slice(&tgt, &[rows]).to_device(Device::Cuda(0));
        let (_, per_row) = cuda(v, s).cross_entropy(&t);
        per_row
            .to_device(Device::Cpu)
            .as_slice::<f32>()
            .iter()
            .sum::<f32>()
            / rows as f32
    };
    report(
        "cross_entropy dX",
        &grad_check(
            &x_h,
            &[rows, cols],
            &lx,
            dx.as_slice::<f32>(),
            cfg_nonlinear(),
        ),
    );
}

// ---- FAN-OUT: a tensor feeding two consumers must SUM grads ----
// y = x*x + x*x via two separate mul nodes on the same Var x → dL/dx must be the
// sum of both branches. With W=1, out=2x², so dOut=W=1 and dx (numeric) = 4x.
#[test]
fn fanout_grad_accumulation() {
    require_gpu();
    let n = 12;
    let x_h = fill(n, 111);
    let w = vec![1.0f32; n];

    let x = Var::leaf(cuda(&x_h, &[n]));
    let sq1 = ops::mul(&x, &x); // x∘x  (x consumed twice within one node)
    let sq2 = ops::mul(&x, &x); // x∘x  (x consumed again across nodes)
    let out = ops::add(&sq1, &sq2); // 2x²
    scalar_loss(&out, &w).backward();

    let dx = x.grad().unwrap().to_device(Device::Cpu);
    let wf = w.clone();
    let lx = move |v: &[f32], s: &[usize]| {
        let t = cuda(v, s);
        let o = t.mul(&t).add(&t.mul(&t));
        weighted_sum(&o, &wf)
    };
    // Analytic dx should be 4x; fan-out summed all four uses of x.
    report(
        "fanout dX",
        &grad_check(&x_h, &[n], &lx, dx.as_slice::<f32>(), cfg_linear()),
    );
}

// ---- COMPOSED ATTENTION: attn = matmul(softmax(matmul(Q,Kᵀ)·scale), V) ----
// Single head, single batch. Backward falls out of matmul+scale+softmax nodes.
#[test]
fn attention_composed_bwd() {
    require_gpu();
    let (s, d) = (5, 6); // seq_len, head_dim
    let scale = 1.0 / (d as f32).sqrt();
    let q_h = fill(s * d, 121);
    let k_h = fill(s * d, 122);
    let v_h = fill(s * d, 123);
    let w = fill(s * d, 124); // weights over the [s,d] attention output

    let attn = |q: &Var, k: &Var, v: &Var| -> Var {
        let kt = transpose_var(k); // [d,s]  (manual transpose node)
        let scores = ops::scale(&ops::matmul(q, &kt), scale); // [s,s]
        let probs = ops::softmax(&scores);
        ops::matmul(&probs, v) // [s,d]
    };

    let q = Var::leaf(cuda(&q_h, &[s, d]));
    let k = Var::leaf(cuda(&k_h, &[s, d]));
    let v = Var::leaf(cuda(&v_h, &[s, d]));
    let out = attn(&q, &k, &v);
    scalar_loss(&out, &w).backward();

    let dq = q.grad().unwrap().to_device(Device::Cpu);
    let dk = k.grad().unwrap().to_device(Device::Cpu);
    let dv = v.grad().unwrap().to_device(Device::Cpu);

    // Re-run the same forward inside the loss closures (host-side) per input.
    let fwd = move |qh: &[f32], kh: &[f32], vh: &[f32]| -> f32 {
        let qv = cuda(qh, &[s, d]);
        let kv = cuda(kh, &[s, d]);
        let vv = cuda(vh, &[s, d]);
        let scores = qv.matmul(&kv.transpose_2d()).scale(scale);
        let probs = scores.softmax();
        weighted_sum(&probs.matmul(&vv), &w)
    };

    let (kf, vf, ff) = (k_h.clone(), v_h.clone(), fwd.clone());
    let lq = move |x: &[f32], _s: &[usize]| ff(x, &kf, &vf);
    report(
        "attn dQ",
        &grad_check(&q_h, &[s, d], &lq, dq.as_slice::<f32>(), cfg_nonlinear()),
    );

    let (qf, vf, ff) = (q_h.clone(), v_h.clone(), fwd.clone());
    let lk = move |x: &[f32], _s: &[usize]| ff(&qf, x, &vf);
    report(
        "attn dK",
        &grad_check(&k_h, &[s, d], &lk, dk.as_slice::<f32>(), cfg_nonlinear()),
    );

    let (qf, kf, ff) = (q_h.clone(), k_h.clone(), fwd.clone());
    let lv = move |x: &[f32], _s: &[usize]| ff(&qf, &kf, x);
    report(
        "attn dV",
        &grad_check(&v_h, &[s, d], &lv, dv.as_slice::<f32>(), cfg_linear()),
    );
}

// ---- transpose_4d12 ([a,b,c,d] -> [a,c,b,d]) ----
#[test]
fn transpose_4d12_bwd() {
    require_gpu();
    let (a, b, c, d) = (2, 3, 4, 5);
    let n = a * b * c * d;
    let x_h = fill(n, 131);
    let w = fill(n, 132);

    let x = Var::leaf(cuda(&x_h, &[a, b, c, d]));
    let out = ops::transpose_4d12(&x);
    scalar_loss(&out, &w).backward();

    let dx = x.grad().unwrap().to_device(Device::Cpu);
    let wf = w.clone();
    let lx = move |v: &[f32], s: &[usize]| weighted_sum(&cuda(v, s).transpose_4d12(), &wf);
    report(
        "transpose_4d12 dX",
        &grad_check(&x_h, &[a, b, c, d], &lx, dx.as_slice::<f32>(), cfg_linear()),
    );
}

// ---- fused batched causal attention (the T10 op) ----
// q,k,v: [bh, seq, hd]. Grad-check dq/dk/dv against finite-diff of L = sum(W∘out).
// bh = 2 (e.g. batch 1 × 2 heads, or 2 sequences × 1 head) exercises the batched
// GEMM stride; the causal mask is applied inside the op.
#[test]
fn attention_batched_bwd() {
    require_gpu();
    let (bh, seq, hd) = (2, 5, 6);
    let n = bh * seq * hd;
    let scale = 1.0 / (hd as f32).sqrt();
    let q_h = fill(n, 141);
    let k_h = fill(n, 142);
    let v_h = fill(n, 143);
    let w = fill(n, 144);

    let q = Var::leaf(cuda(&q_h, &[bh, seq, hd]));
    let k = Var::leaf(cuda(&k_h, &[bh, seq, hd]));
    let v = Var::leaf(cuda(&v_h, &[bh, seq, hd]));
    let out = ops::attention(&q, &k, &v, scale);
    scalar_loss(&out, &w).backward();

    let dq = q.grad().unwrap().to_device(Device::Cpu);
    let dk = k.grad().unwrap().to_device(Device::Cpu);
    let dv = v.grad().unwrap().to_device(Device::Cpu);

    let fwd = move |qh: &[f32], kh: &[f32], vh: &[f32]| -> f32 {
        let qv = cuda(qh, &[bh, seq, hd]);
        let kv = cuda(kh, &[bh, seq, hd]);
        let vv = cuda(vh, &[bh, seq, hd]);
        let (o, _) = qv.attention(&kv, &vv, scale);
        weighted_sum(&o, &w)
    };
    let (kf, vf, ff) = (k_h.clone(), v_h.clone(), fwd.clone());
    let lq = move |x: &[f32], _s: &[usize]| ff(x, &kf, &vf);
    report(
        "attn(batched) dQ",
        &grad_check(
            &q_h,
            &[bh, seq, hd],
            &lq,
            dq.as_slice::<f32>(),
            cfg_nonlinear(),
        ),
    );
    let (qf, vf, ff) = (q_h.clone(), v_h.clone(), fwd.clone());
    let lk = move |x: &[f32], _s: &[usize]| ff(&qf, x, &vf);
    report(
        "attn(batched) dK",
        &grad_check(
            &k_h,
            &[bh, seq, hd],
            &lk,
            dk.as_slice::<f32>(),
            cfg_nonlinear(),
        ),
    );
    let (qf, kf, ff) = (q_h.clone(), k_h.clone(), fwd.clone());
    let lv = move |x: &[f32], _s: &[usize]| ff(&qf, &kf, x);
    report(
        "attn(batched) dV",
        &grad_check(
            &v_h,
            &[bh, seq, hd],
            &lv,
            dv.as_slice::<f32>(),
            cfg_linear(),
        ),
    );
}

// --- test helpers ---

// Scalar loss node L = sum(W ∘ out): wraps a fixed-weight Var and reduces. We
// implement it as: elementwise mul by a constant-W leaf, then sum-to-scalar.
fn scalar_loss(out: &Var, w: &[f32]) -> Var {
    let wt = Var::leaf(cuda(w, out.value().shape()));
    let prod = ops::mul(out, &wt);
    sum_all(&prod)
}

// Sum-to-scalar node: out = sum(x). Backward broadcasts the scalar grad to a
// ones-shaped tensor over x. Implemented here (test-local) since the engine's
// op set doesn't include a generic reduction; cross_entropy is the only loss op.
fn sum_all(x: &Var) -> Var {
    let xv = x.value();
    let total: f32 = xv.to_device(Device::Cpu).as_slice::<f32>().iter().sum();
    let scalar = Tensor::from_slice(&[total], &[1]).to_device(xv.device());
    let shape: Vec<usize> = xv.shape().to_vec();
    Var::from_op(
        scalar,
        vec![x.clone()],
        Box::new(move |d, parents| {
            // d is [1]; broadcast d to a same-shape tensor over the input.
            let dval = d.to_device(Device::Cpu).as_slice::<f32>()[0];
            let ones = vec![dval; shape.iter().product()];
            let g = Tensor::from_slice(&ones, &shape).to_device(Device::Cuda(0));
            Var::push_grad(&parents[0], g);
        }),
    )
}

// Manual transpose node for the composed-attention test (the engine has no
// transpose op; xserv does the equivalent host-side reshape around RoPE).
fn transpose_var(x: &Var) -> Var {
    let xt = x.value().transpose_2d();
    Var::from_op(
        xt,
        vec![x.clone()],
        Box::new(|d, parents| {
            Var::push_grad(&parents[0], d.transpose_2d());
        }),
    )
}