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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@@ -135,18 +135,27 @@ static int run_test(int B, int Hq, int Hk, int sl, int D, int causal) {
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float* ref=new float[nQ];
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cpu_attention_ref(hQ, hK, hV, hMask, ref, B, Hq, Hk, 1, sl, D, causal ? 0 : -1);
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float max_err=0;
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float max_abs_err=0, max_rel_err=0;
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for (size_t i=0;i<nQ;i++){
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float d=fabsf(bf2f(hOut[i])-ref[i]);
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if(d>max_err) max_err=d;
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float err=fabsf(bf2f(hOut[i])-ref[i]);
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if(err>max_abs_err) max_abs_err=err;
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float rel=err/fmaxf(fabsf(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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printf("kernel: %.3f ms max_err: %.6e\n\n",kms,max_err);
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const float atol=0.01f, rtol=0.01f;
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bool pass=true;
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for (size_t i=0;i<nQ;i++){
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float err=fabsf(bf2f(hOut[i])-ref[i]);
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if (err > atol + rtol * fabsf(ref[i])) { pass=false; break; }
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}
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printf("kernel: %.3f ms max_abs_err: %.6e max_rel_err: %.6e %s\n\n",
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kms, max_abs_err, max_rel_err, pass?"PASS":"FAIL");
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cudaFree(dQ);cudaFree(dK);cudaFree(dV);cudaFree(dO);cudaFree(dMask);
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free_scratch(sc);
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delete[]hQ;delete[]hK;delete[]hV;delete[]hMask;delete[]hOut;delete[]ref;delete[]tmp;
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return (max_err < 0.05f) ? 0 : 1;
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return pass ? 0 : 1;
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}
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int main() {
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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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@@ -119,17 +119,26 @@ static int run_test(int B, int Hq, int Hk, int ql, int kl, int D, int causal) {
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float* ref=new float[nQ];
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cpu_attention_ref(hQ, hK, hV, nullptr, ref, B, Hq, Hk, ql, kl, D, causal ? 0 : -1);
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float max_err=0;
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float max_abs_err=0, max_rel_err=0;
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for (size_t i=0;i<nQ;i++) {
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float d=fabsf(bf2f(hOut[i])-ref[i]);
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if(d>max_err) max_err=d;
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float err=fabsf(bf2f(hOut[i])-ref[i]);
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if(err>max_abs_err) max_abs_err=err;
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float rel=err/fmaxf(fabsf(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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printf("kernel: %.3f ms max_err: %.6e\n\n",kms,max_err);
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const float atol=0.01f, rtol=0.01f;
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bool pass=true;
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for (size_t i=0;i<nQ;i++) {
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float err=fabsf(bf2f(hOut[i])-ref[i]);
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if (err > atol + rtol * fabsf(ref[i])) { pass=false; break; }
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}
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printf("kernel: %.3f ms max_abs_err: %.6e max_rel_err: %.6e %s\n\n",
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kms, max_abs_err, max_rel_err, pass?"PASS":"FAIL");
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cudaFree(dQ);cudaFree(dK);cudaFree(dV);cudaFree(dO);
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delete[]hQ;delete[]hK;delete[]hV;delete[]hOut;delete[]ref;delete[]tmp;
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return (max_err < 0.05f) ? 0 : 1;
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return pass ? 0 : 1;
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}
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int main() {
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