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Initialize max of softmax with lowest of float (#2786)
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2 changed files with 25 additions and 25 deletions
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@ -242,8 +242,7 @@ Status Attention<T>::Compute(OpKernelContext* context) const {
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// Infinity divided by Infinity is a NAN. Thus, softmax gets a NAN if one or more item are large enough.
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// a math transform as below is leveraged to get a stable softmax:
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// e^xi/(e^x1 + ...e^xn) = e^(xi - max) / (e^(x1 - max) + ... + e^(xn - max))
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// And for convenience, force max to 0.f if all xi are negative
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float max = 0.f;
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float max = -std::numeric_limits<float>::infinity();
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for (int i = 0; i < D; i++) {
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if (max < x[i]) max = x[i];
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}
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@ -24,6 +24,7 @@ limitations under the License.
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#include <cub/cub.cuh>
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#include <cublas_v2.h>
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#include <cuda_fp16.h>
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#include <math_constants.h>
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#include "core/providers/cuda/cu_inc/common.cuh"
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#include "core/providers/cuda/cuda_common.h"
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#include "attention_impl.h"
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@ -61,22 +62,21 @@ __device__ inline void Softmax(const int ld, const int num_valid, const T* input
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__shared__ float sum_reverse_block;
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__shared__ float max_block;
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float thread_data(0);
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const int offset = (blockIdx.y * gridDim.x + blockIdx.x) * ld;
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for (int i = threadIdx.x; i < num_valid; i += TPB) {
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const int index = offset + i;
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if (thread_data < float(input[index])) {
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thread_data = float(input[index]);
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}
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}
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float thread_data_max(-CUDART_INF_F);
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// e^x is represented as infinity if x is large enough, like 100.f.
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// Infinity divided by Infinity is a NAN. Thus, softmax gets a NAN if one or more item are large enough.
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// a math transform as below is leveraged to get a stable softmax:
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// e^xi/(e^x1 + ...e^xn) = e^(xi - max) / (e^(x1 - max) + ... + e^(xn - max))
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// And for convenience, force max to 0.f if all xi are negative
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const auto max = BlockReduce(tmp_storage).Reduce(thread_data, cub::Max());
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const int offset = (blockIdx.y * gridDim.x + blockIdx.x) * ld;
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for (int i = threadIdx.x; i < num_valid; i += TPB) {
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const int index = offset + i;
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if (thread_data_max < float(input[index])) {
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thread_data_max = float(input[index]);
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}
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}
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const auto max = BlockReduce(tmp_storage).Reduce(thread_data_max, cub::Max());
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// Store max value
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if (threadIdx.x == 0) {
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@ -84,13 +84,14 @@ __device__ inline void Softmax(const int ld, const int num_valid, const T* input
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}
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__syncthreads();
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float thread_data_sum(0.f);
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for (int i = threadIdx.x; i < num_valid; i += TPB) {
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const int index = offset + i;
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const float val = input[index];
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thread_data += expf(val - max_block);
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thread_data_sum += expf(val - max_block);
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}
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const auto sum = BlockReduce(tmp_storage).Reduce(thread_data, cub::Sum());
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const auto sum = BlockReduce(tmp_storage).Reduce(thread_data_sum, cub::Sum());
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if (threadIdx.x == 0) {
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sum_reverse_block = 1.f / sum;
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}
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@ -114,17 +115,16 @@ __device__ inline void SoftmaxSmall(const int ld, const int num_valid, const T*
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const int offset = (blockIdx.y * gridDim.x + blockIdx.x) * ld;
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const int index = offset + threadIdx.x;
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float thread_data(0);
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if (threadIdx.x < num_valid) {
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thread_data = input[index];
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}
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// e^x is represented as infinity if x is large enough, like 100.f.
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// Infinity divided by Infinity is a NAN. Thus, softmax gets a NAN if one or more item are large enough.
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// a math transform as below is leveraged to get a stable softmax:
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// e^xi/(e^x1 + ...e^xn) = e^(xi - max) / (e^(x1 - max) + ... + e^(xn - max))
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// And for convenience, force max to 0.f if all xi are negative
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const auto max = BlockReduce(tmp_storage).Reduce(thread_data, cub::Max(), num_valid);
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float thread_data_max(-CUDART_INF_F);
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if (threadIdx.x < num_valid) {
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thread_data_max = input[index];
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}
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const auto max = BlockReduce(tmp_storage).Reduce(thread_data_max, cub::Max(), num_valid);
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// Store max value
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if (threadIdx.x == 0) {
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@ -132,12 +132,13 @@ __device__ inline void SoftmaxSmall(const int ld, const int num_valid, const T*
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}
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__syncthreads();
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float thread_data_exp(0.f);
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if (threadIdx.x < num_valid) {
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const float val = input[index];
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thread_data = expf(val - max_block);
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thread_data_exp = expf(val - max_block);
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}
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const auto sum = BlockReduce(tmp_storage).Reduce(thread_data, cub::Sum(), num_valid);
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const auto sum = BlockReduce(tmp_storage).Reduce(thread_data_exp, cub::Sum(), num_valid);
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// Store max value
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if (threadIdx.x == 0) {
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@ -147,7 +148,7 @@ __device__ inline void SoftmaxSmall(const int ld, const int num_valid, const T*
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if (threadIdx.x < ld) {
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// this will be 0 for threadIdx.x >= num_valid
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output[index] = T(thread_data * sum_reverse_block);
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output[index] = T(thread_data_exp * sum_reverse_block);
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}
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}
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