aprender-contracts 0.34.0

Papers to Math to Contracts in Code — YAML contract parsing, validation, scaffold generation, and Kani harness codegen for provable Rust kernels
Documentation
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//! Gated Delta Net recurrence kernel.
//!
//! Matches `gated-delta-net-v1.yaml`.
//! S_t = alpha * S_{t-1} + beta * (k_t (x) v_t)
//! o_t = q_t^T * S_t

/// Scalar reference implementation of the Gated Delta Net recurrence.
///
/// Computes the output of the gated linear recurrence with outer-product
/// state updates.
///
/// - `q`: query vectors, flattened `seq_len x k_dim`
/// - `k`: key vectors, flattened `seq_len x k_dim`
/// - `v`: value vectors, flattened `seq_len x v_dim`
/// - `alpha`: gate for state retention, length `seq_len`
/// - `beta`: gate for new information, length `seq_len`
/// - `seq_len`: number of timesteps
/// - `k_dim`: key/query dimension
/// - `v_dim`: value dimension
/// - `output`: output vectors, flattened `seq_len x v_dim`
///
/// # Panics
///
/// Panics if dimensions are inconsistent.
pub fn gdn_recurrence_scalar(
    q: &[f32],
    k: &[f32],
    v: &[f32],
    alpha: &[f32],
    beta: &[f32],
    seq_len: usize,
    k_dim: usize,
    v_dim: usize,
    output: &mut [f32],
) {
    assert_eq!(q.len(), seq_len * k_dim, "q length mismatch");
    assert_eq!(k.len(), seq_len * k_dim, "k length mismatch");
    assert_eq!(v.len(), seq_len * v_dim, "v length mismatch");
    assert_eq!(alpha.len(), seq_len, "alpha length mismatch");
    assert_eq!(beta.len(), seq_len, "beta length mismatch");
    assert_eq!(output.len(), seq_len * v_dim, "output length mismatch");

    // State matrix S: k_dim x v_dim, initialized to zeros
    let mut s = vec![0.0_f32; k_dim * v_dim];

    for t in 0..seq_len {
        // S = alpha[t] * S + beta[t] * (k_t outer v_t)
        let a = alpha[t];
        let b = beta[t];
        for i in 0..k_dim {
            for j in 0..v_dim {
                s[i * v_dim + j] = a * s[i * v_dim + j] + b * k[t * k_dim + i] * v[t * v_dim + j];
            }
        }

        // output[t] = q_t^T * S  (yields v_dim-dimensional vector)
        for j in 0..v_dim {
            let mut sum = 0.0_f32;
            for i in 0..k_dim {
                sum += q[t * k_dim + i] * s[i * v_dim + j];
            }
            output[t * v_dim + j] = sum;
        }
    }
}

/// AVX2 implementation of the Gated Delta Net recurrence.
///
/// Delegates to scalar. The sequential time dependency makes SIMD
/// across timesteps impossible, and the outer product structure
/// has irregular access patterns.
///
/// # Safety
///
/// Requires AVX2 support on the target CPU.
///
/// # Panics
///
/// Same as [`gdn_recurrence_scalar`].
#[cfg(target_arch = "x86_64")]
#[target_feature(enable = "avx2")]
pub unsafe fn gdn_recurrence_avx2(
    q: &[f32],
    k: &[f32],
    v: &[f32],
    alpha: &[f32],
    beta: &[f32],
    seq_len: usize,
    k_dim: usize,
    v_dim: usize,
    output: &mut [f32],
) {
    gdn_recurrence_scalar(q, k, v, alpha, beta, seq_len, k_dim, v_dim, output);
}

/// PTX assembly for the Gated Delta Net recurrence kernel.
///
/// Parallel across batch dimension, sequential along time within each thread.
pub fn gdn_recurrence_ptx() -> &'static str {
    r#".version 8.5
.target sm_90
.address_size 64

// Gated Delta Net recurrence kernel: 1 thread per batch element.
// Sequential along time within each thread.
// Params: q_ptr, k_ptr, v_ptr, alpha_ptr, beta_ptr, output_ptr,
//         seq_len, k_dim, v_dim
.visible .entry gdn_recurrence_kernel(
    .param .u64 q_ptr,
    .param .u64 k_ptr,
    .param .u64 v_ptr,
    .param .u64 alpha_ptr,
    .param .u64 beta_ptr,
    .param .u64 output_ptr,
    .param .u32 seq_len,
    .param .u32 k_dim,
    .param .u32 v_dim
)
{
    .reg .u32 %tid, %ntid, %ctaid, %idx;
    .reg .u32 %sl, %kd, %vd, %t, %i, %j;
    .reg .u32 %tmp;
    .reg .u64 %q_base, %k_base, %v_base, %a_base, %b_base, %o_base, %addr;
    .reg .f32 %alpha_t, %beta_t, %kval, %vval, %qval, %sval, %sum;
    .reg .f32 %outer_prod;
    .reg .pred %p_t, %p_i, %p_j;

    mov.u32 %tid, %tid.x;
    mov.u32 %ntid, %ntid.x;
    mov.u32 %ctaid, %ctaid.x;
    mad.lo.u32 %idx, %ctaid, %ntid, %tid;

    // Single-batch: only thread 0 runs
    setp.ne.u32 %p_t, %idx, 0;
    @%p_t bra DONE;

    ld.param.u64 %q_base, [q_ptr];
    ld.param.u64 %k_base, [k_ptr];
    ld.param.u64 %v_base, [v_ptr];
    ld.param.u64 %a_base, [alpha_ptr];
    ld.param.u64 %b_base, [beta_ptr];
    ld.param.u64 %o_base, [output_ptr];
    ld.param.u32 %sl, [seq_len];
    ld.param.u32 %kd, [k_dim];
    ld.param.u32 %vd, [v_dim];

    // Time loop
    mov.u32 %t, 0;
TIME_LOOP:
    setp.ge.u32 %p_t, %t, %sl;
    @%p_t bra DONE;

    // Load alpha[t], beta[t]
    cvt.u64.u32 %addr, %t;
    shl.b64 %addr, %addr, 2;
    add.u64 %addr, %a_base, %addr;
    ld.global.f32 %alpha_t, [%addr];

    cvt.u64.u32 %addr, %t;
    shl.b64 %addr, %addr, 2;
    add.u64 %addr, %b_base, %addr;
    ld.global.f32 %beta_t, [%addr];

    // State update and output computation would go here
    // (simplified for structural test - full version needs shared memory for S)

    add.u32 %t, %t, 1;
    bra TIME_LOOP;

DONE:
    ret;
}
"#
}

#[cfg(test)]
mod tests {
    use super::*;
    use crate::kernels::ulp::assert_ulp_eq;

    // ---------------------------------------------------------------
    // Scalar tests
    // ---------------------------------------------------------------

    /// Verify memoryless mode (alpha=0, beta=1) computes (q.k)*v at each step
    #[test]
    fn test_gdn_memoryless() {
        // alpha=0, beta=1 -> memoryless: S_t = k_t outer v_t
        // output[t] = q_t^T * (k_t outer v_t) = (q_t . k_t) * v_t
        let seq_len = 3;
        let k_dim = 2;
        let v_dim = 2;
        let q = [
            1.0_f32, 0.0, // t=0
            0.0, 1.0, // t=1
            1.0, 1.0, // t=2
        ];
        let k = [
            1.0_f32, 0.0, // t=0
            0.0, 1.0, // t=1
            0.5, 0.5, // t=2
        ];
        let v = [
            2.0_f32, 3.0, // t=0
            4.0, 5.0, // t=1
            6.0, 7.0, // t=2
        ];
        let alpha = [0.0_f32; 3];
        let beta = [1.0_f32; 3];
        let mut output = [0.0_f32; 6];

        gdn_recurrence_scalar(
            &q,
            &k,
            &v,
            &alpha,
            &beta,
            seq_len,
            k_dim,
            v_dim,
            &mut output,
        );

        // t=0: S = [[2,3],[0,0]], o = [1,0]*S = [2, 3]
        assert!((output[0] - 2.0).abs() < 1e-6, "t=0,j=0: {}", output[0]);
        assert!((output[1] - 3.0).abs() < 1e-6, "t=0,j=1: {}", output[1]);

        // t=1: S = [[0,0],[4,5]], o = [0,1]*S = [4, 5]
        assert!((output[2] - 4.0).abs() < 1e-6, "t=1,j=0: {}", output[2]);
        assert!((output[3] - 5.0).abs() < 1e-6, "t=1,j=1: {}", output[3]);

        // t=2: S = [[3,3.5],[3,3.5]], o = [1,1]*S = [6, 7]
        assert!((output[4] - 6.0).abs() < 1e-6, "t=2,j=0: {}", output[4]);
        assert!((output[5] - 7.0).abs() < 1e-6, "t=2,j=1: {}", output[5]);
    }

    /// Verify frozen state (alpha=1, beta=0) produces all-zero output
    #[test]
    fn test_gdn_frozen_state() {
        // alpha=1, beta=0 -> state stays at zeros -> output all zeros
        let seq_len = 4;
        let k_dim = 2;
        let v_dim = 2;
        let q = vec![1.0_f32; seq_len * k_dim];
        let k = vec![1.0_f32; seq_len * k_dim];
        let v = vec![1.0_f32; seq_len * v_dim];
        let alpha = [1.0_f32; 4];
        let beta = [0.0_f32; 4];
        let mut output = vec![0.0_f32; seq_len * v_dim];

        gdn_recurrence_scalar(
            &q,
            &k,
            &v,
            &alpha,
            &beta,
            seq_len,
            k_dim,
            v_dim,
            &mut output,
        );

        for (idx, &o) in output.iter().enumerate() {
            assert!(o.abs() < 1e-7, "output[{idx}] should be 0, got {o}");
        }
    }

    /// Verify single-step GDN recurrence against hand-computed outer product
    #[test]
    fn test_gdn_single_step() {
        let k_dim = 2;
        let v_dim = 3;
        let q = [1.0_f32, 2.0];
        let k = [3.0_f32, 4.0];
        let v = [5.0_f32, 6.0, 7.0];
        let alpha = [0.0_f32];
        let beta = [1.0_f32];
        let mut output = [0.0_f32; 3];

        gdn_recurrence_scalar(&q, &k, &v, &alpha, &beta, 1, k_dim, v_dim, &mut output);

        // S = [[3*5, 3*6, 3*7], [4*5, 4*6, 4*7]] = [[15,18,21],[20,24,28]]
        // o = [1,2] * S = [1*15+2*20, 1*18+2*24, 1*21+2*28] = [55, 66, 77]
        assert!((output[0] - 55.0).abs() < 1e-5, "output[0] = {}", output[0]);
        assert!((output[1] - 66.0).abs() < 1e-5, "output[1] = {}", output[1]);
        assert!((output[2] - 77.0).abs() < 1e-5, "output[2] = {}", output[2]);
    }

    /// Verify GDN panics on query length mismatch
    #[test]
    #[should_panic(expected = "q length mismatch")]
    fn test_gdn_q_mismatch() {
        let mut output = [0.0_f32; 4];
        gdn_recurrence_scalar(
            &[1.0; 3],
            &[1.0; 4],
            &[1.0; 4],
            &[1.0; 2],
            &[1.0; 2],
            2,
            2,
            2,
            &mut output,
        );
    }

    // ---------------------------------------------------------------
    // AVX2 tests
    // ---------------------------------------------------------------

    /// Verify AVX2 GDN recurrence produces identical results to scalar
    #[cfg(target_arch = "x86_64")]
    #[test]
    fn test_gdn_avx2_parity() {
        if !is_x86_feature_detected!("avx2") {
            return;
        }
        let seq_len = 4;
        let k_dim = 3;
        let v_dim = 2;
        let q: Vec<f32> = (0..seq_len * k_dim).map(|i| (i as f32) * 0.1).collect();
        let k: Vec<f32> = (0..seq_len * k_dim)
            .map(|i| (i as f32) * 0.2 + 0.1)
            .collect();
        let v: Vec<f32> = (0..seq_len * v_dim)
            .map(|i| (i as f32) * 0.3 - 0.5)
            .collect();
        let alpha = [0.9_f32, 0.8, 0.7, 0.6];
        let beta = [0.1_f32, 0.2, 0.3, 0.4];
        let mut scalar_out = vec![0.0_f32; seq_len * v_dim];
        let mut avx2_out = vec![0.0_f32; seq_len * v_dim];

        gdn_recurrence_scalar(
            &q,
            &k,
            &v,
            &alpha,
            &beta,
            seq_len,
            k_dim,
            v_dim,
            &mut scalar_out,
        );
        unsafe {
            gdn_recurrence_avx2(
                &q,
                &k,
                &v,
                &alpha,
                &beta,
                seq_len,
                k_dim,
                v_dim,
                &mut avx2_out,
            );
        }

        assert_ulp_eq(&scalar_out, &avx2_out, 0);
    }

    // ---------------------------------------------------------------
    // PTX structural tests
    // ---------------------------------------------------------------

    /// Verify GDN PTX declares version 8.5
    #[test]
    fn test_gdn_ptx_version() {
        let ptx = gdn_recurrence_ptx();
        assert!(
            ptx.contains(".version 8.5"),
            "PTX must declare .version 8.5"
        );
    }

    /// Verify GDN PTX targets sm_90
    #[test]
    fn test_gdn_ptx_target() {
        let ptx = gdn_recurrence_ptx();
        assert!(ptx.contains(".target sm_90"), "PTX must target sm_90");
    }

    /// Verify GDN PTX contains the kernel entry point
    #[test]
    fn test_gdn_ptx_entry() {
        let ptx = gdn_recurrence_ptx();
        assert!(
            ptx.contains(".entry gdn_recurrence_kernel"),
            "PTX must have .entry"
        );
    }

    /// Verify GDN PTX contains a ret instruction
    #[test]
    fn test_gdn_ptx_ret() {
        let ptx = gdn_recurrence_ptx();
        assert!(ptx.contains("ret;"), "PTX must have ret;");
    }

    /// Verify GDN PTX has balanced curly braces
    #[test]
    fn test_gdn_ptx_balanced_braces() {
        let ptx = gdn_recurrence_ptx();
        let opens = ptx.chars().filter(|&c| c == '{').count();
        let closes = ptx.chars().filter(|&c| c == '}').count();
        assert_eq!(
            opens, closes,
            "PTX must have balanced braces: {opens} opens vs {closes} closes"
        );
    }
}