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[CK Tile] Fix FMHA LSE calculation and potential division by zero (#3326)
This commit addresses numerical stability issues in the BlockFmhaPipelineQRKSVS pipeline when bias has -inf masking values: 1. Explicitly handle the case where the accumulated exponential sum (l) is zero. In this case, the LSE is now correctly set to negative infinity, preventing log(0) errors. 2. Extend the zero-check protection in the normalization step to cover the ELEMENTWISE_BIAS case, preventing potential division by zero.
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@@ -714,26 +714,35 @@ struct BlockFmhaPipelineQRKSVS
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constexpr auto lse_spans = decltype(lse)::get_distributed_spans();
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sweep_tile_span(lse_spans[number<0>{}], [&, m_ = m, l_ = l](auto idx0) {
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constexpr auto i_idx = make_tuple(idx0);
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#if CK_TILE_FMHA_FWD_FAST_EXP2
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if constexpr(BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS ||
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BiasEnum == BlockAttentionBiasEnum::ALIBI)
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// In the masked biased case, the entire row can be suppressed and the accumulated
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// softmax denominator becomes zero; treat it as log(0) = -inf to avoid NaNs.
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if(l_[i_idx] == 0.0f)
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{
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lse(i_idx) = m_[i_idx] / C_LOG2E + log(l_[i_idx]);
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lse(i_idx) = -numeric<LSEDataType>::infinity();
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}
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else
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{
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if constexpr(kHasLogitsSoftCap)
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#if CK_TILE_FMHA_FWD_FAST_EXP2
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if constexpr(BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS ||
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BiasEnum == BlockAttentionBiasEnum::ALIBI)
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{
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lse(i_idx) = m_[i_idx] / C_LOG2E + log(l_[i_idx]);
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}
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else
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{
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lse(i_idx) = m_[i_idx] * scale_s / C_LOG2E + log(l_[i_idx]);
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if constexpr(kHasLogitsSoftCap)
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{
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lse(i_idx) = m_[i_idx] / C_LOG2E + log(l_[i_idx]);
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}
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else
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{
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lse(i_idx) = m_[i_idx] * scale_s / C_LOG2E + log(l_[i_idx]);
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}
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}
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}
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#else
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lse(i_idx) = m_[i_idx] + log(l_[i_idx]);
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lse(i_idx) = m_[i_idx] + log(l_[i_idx]);
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#endif
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}
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});
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store_tile(lse_dram_window_tmp, tile_elementwise_in(lse_element_func, lse));
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@@ -745,7 +754,10 @@ struct BlockFmhaPipelineQRKSVS
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sweep_tile_span(o_spans[number<0>{}], [&](auto idx0) {
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constexpr auto i_idx = make_tuple(idx0);
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const auto tmp = [&]() {
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if constexpr(FmhaMask::IsMasking)
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// When bias carries -inf masks the denominator can be zero; guard the normalization
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// so we do not divide by zero after a fully masked row.
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if constexpr(FmhaMask::IsMasking ||
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BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS)
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{
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return l[i_idx] == 0.f ? 0.f : 1 / l[i_idx];
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}
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