fix: improve attention kernel numerical stability and test precision checks
- use fmaf() for V-accumulation in scalar decode paths to reduce rounding - delay scale multiplication to after dot-product in scalar prefill - unify __expf/expf across MMA and scalar paths for consistent numerics - harmonize divide-by-zero guards to 1e-20f - add both absolute and relative error checks in standalone tests (atol=0.01, rtol=0.01)
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@@ -135,23 +135,30 @@ static int run_test(int B, int Hq, int Hkv, int kv_len, int page_size, int causa
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for (int i = 0; i < B * Hq * HEAD_DIM; i++)
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h_o_paged[i] = __bfloat162float(h_o_bf16[i]);
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float max_err = 0.0f;
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float max_abs_err = 0.0f, max_rel_err = 0.0f;
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int bad_idx = -1;
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for (int i = 0; i < B * Hq * HEAD_DIM; i++) {
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float e = fabsf(h_o_paged[i] - h_o_ref[i]);
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if (e > max_err) { max_err = e; bad_idx = i; }
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if (e > max_abs_err) { max_abs_err = e; bad_idx = i; }
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float rel = e / fmaxf(fabsf(h_o_ref[i]), 1e-8f);
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if (rel > max_rel_err) max_rel_err = rel;
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}
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bool pass = max_err < 0.02f;
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const float atol = 0.01f, rtol = 0.01f;
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bool pass = true;
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for (int i = 0; i < B * Hq * HEAD_DIM; i++) {
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float e = fabsf(h_o_paged[i] - h_o_ref[i]);
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if (e > atol + rtol * fabsf(h_o_ref[i])) { pass = false; break; }
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}
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if (pass) {
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printf("PASS (max_abs_err=%.4e)\n", max_err);
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printf("PASS (max_abs_err=%.4e max_rel_err=%.4e)\n", max_abs_err, max_rel_err);
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} else {
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int b = bad_idx / (Hq * HEAD_DIM);
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int h = (bad_idx / HEAD_DIM) % Hq;
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int d = bad_idx % HEAD_DIM;
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printf("FAIL (max_abs_err=%.4e at [%d,%d,%d]: ref=%.4f got=%.4f)\n",
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max_err, b, h, d, h_o_ref[bad_idx], h_o_paged[bad_idx]);
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printf("FAIL (max_abs_err=%.4e max_rel_err=%.4e at [%d,%d,%d]: ref=%.4f got=%.4f)\n",
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max_abs_err, max_rel_err, b, h, d, h_o_ref[bad_idx], h_o_paged[bad_idx]);
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printf(" ref[0..7]:");
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for (int i = 0; i < 8 && i < HEAD_DIM; i++)
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printf(" %.4f", h_o_ref[i]);
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