1 #include <ATen/native/nested/NestedTensorMath.h>
2 #include <ATen/native/nested/NestedTensorUtils.h>
3
4 #include <ATen/AccumulateType.h>
5 #include <ATen/Dispatch.h>
6 #include <ATen/Functions.h>
7 #include <ATen/NativeFunctions.h>
8 #include <ATen/NestedTensorImpl.h>
9 #include <ATen/ScalarOps.h>
10 #include <ATen/TensorIndexing.h>
11 #include <ATen/TensorOperators.h>
12 #include <ATen/TensorUtils.h>
13 #include <ATen/core/Tensor.h>
14 #include <ATen/core/grad_mode.h>
15 #include <ATen/native/layer_norm.h>
16 #include <ATen/native/nested/NestedTensorUtils.h>
17
18 namespace at::native {
19
bmm_nested(const Tensor & self,const Tensor & mat2)20 Tensor bmm_nested(const Tensor& self, const Tensor& mat2) {
21 TORCH_CHECK(self.dim() == 3, "batch1 must be a 3D tensor");
22 TORCH_CHECK(mat2.dim() == 3, "batch2 must be a 3D tensor");
23
24 int64_t ntensors = self.is_nested() ? get_nested_tensor_impl(self)->size(0) : self.size(0);
25 int64_t ntensors2 = mat2.is_nested() ? get_nested_tensor_impl(mat2)->size(0) : mat2.size(0);
26
27 TORCH_CHECK(ntensors == ntensors2,
28 "Expected size for the 1st dimension of batch2 tensor to be: ", ntensors,
29 " but got: ", ntensors2, ".");
30
31 const Tensor& self_buffer = self.is_nested() ? get_nested_tensor_impl(self)->get_unsafe_storage_as_tensor() : self;
32 const Tensor& mat2_buffer = mat2.is_nested() ? get_nested_tensor_impl(mat2)->get_unsafe_storage_as_tensor() : mat2;
33
34
35 // create a contiguous output
36 int64_t out_numel = 0;
37 const Tensor& self_sizemat = self.is_nested() ?
38 get_nested_tensor_impl(self)->get_nested_sizes() : get_nested_tensor_impl(mat2)->get_nested_sizes();
39
40 Tensor out_sizemat = self_sizemat.new_empty(self_sizemat.sizes());
41 int64_t* out_sizemat_ptr = out_sizemat.data_ptr<int64_t>();
42 for (int64_t i = 0; i < ntensors; i++) {
43 const IntArrayRef& self_shape = get_size_for_index(self, i);
44 const IntArrayRef& mat2_shape = get_size_for_index(mat2, i);
45 const int64_t& self_size0 = self_shape[0], & self_size1 = self_shape[1],
46 & mat2_size0 = mat2_shape[0], & mat2_size1 = mat2_shape[1];
47 TORCH_CHECK(self_size1 == mat2_size0,
48 i, "-th nested matrices in batch cannot be multiplied (",
49 self_size0, "x", self_size1, " and ",
50 mat2_size0, "x", mat2_size1, ")");
51 out_sizemat_ptr[0] = self_size0;
52 out_sizemat_ptr[1] = mat2_size1;
53 out_sizemat_ptr += 2;
54 out_numel += self_size0 * mat2_size1;
55 }
56 Tensor out_buffer = self.is_nested() ? self_buffer.new_empty(out_numel) : mat2_buffer.new_empty(out_numel);
57 Tensor output = wrap_buffer(out_buffer, out_sizemat);
58 // call tensor mm
59 // TODO: `padding nested tensor -> bmm -> remove padding` may be more efficient
60 // until we have specialized nested tensor bmm kernel
61 // useful resource: `aten/src/ATen/native/cpu/LinearAlgebra.cpp/bmm_out_or_baddbmm_`
62 // `aten/src/ATen/native/cuda/Blas.cpp/baddbmm_out_cuda_impl`
63 std::vector<Tensor> output_unbind = output.unbind();
64 for (int64_t i = 0; i < ntensors; i++) {
65 at::mm_out(output_unbind[i],
66 self_buffer.as_strided(get_size_for_index(self, i), get_stride_for_index(self, i), get_offset_for_index(self, i)),
67 mat2_buffer.as_strided(get_size_for_index(mat2, i), get_stride_for_index(mat2, i), get_offset_for_index(mat2, i)));
68 }
69 return output;
70 }
71
72
73
matmul_with_bmm_nested(const Tensor & self,const Tensor & mat2)74 static Tensor matmul_with_bmm_nested(const Tensor& self, const Tensor& mat2) {
75 // Tensor self = self_.contiguous();
76 // Tensor mat2 = mat2_.contiguous();
77 // self [N, n_heads, *, head_dim]
78 // mat2 [N, n_heads, head_dim, *]
79 const auto self_ptr = get_nested_tensor_impl(self);
80 const auto mat2_ptr = get_nested_tensor_impl(mat2);
81 // metadata for self
82 std::vector<IntArrayRef> self_sizes = NestedTensor_get_sizes(self_ptr);
83 std::vector<IntArrayRef> self_strides = NestedTensor_get_strides(self_ptr);
84 int64_t* self_offsets_ptr =
85 self_ptr->get_storage_offsets().data_ptr<int64_t>();
86 auto opt = self_ptr->get_nested_sizes().options();
87
88 // metadata for mat2
89 std::vector<IntArrayRef> mat2_sizes = NestedTensor_get_sizes(mat2_ptr);
90 std::vector<IntArrayRef> mat2_strides = NestedTensor_get_strides(mat2_ptr);
91 int64_t* mat2_offsets_ptr =
92 mat2_ptr->get_storage_offsets().data_ptr<int64_t>();
93 auto opt2 = mat2_ptr->get_nested_sizes().options();
94
95 int64_t N = static_cast<int64_t>(self_sizes.size());
96 int64_t n_heads = self_sizes[0][0];
97
98 // viewed metadata for self
99 auto self_new_sizes = at::empty({N * n_heads, 2}, opt);
100 int64_t* self_new_sizes_ptr = self_new_sizes.mutable_data_ptr<int64_t>();
101
102 auto self_new_strides = at::empty({N * n_heads, 2}, opt);
103 int64_t* self_new_strides_ptr = self_new_strides.mutable_data_ptr<int64_t>();
104 auto self_new_offsets = at::empty({N * n_heads}, opt);
105 int64_t* self_new_offsets_ptr = self_new_offsets.mutable_data_ptr<int64_t>();
106
107 // viewed metadata for mat2
108 auto mat2_new_sizes = at::empty({N * n_heads, 2}, opt2);
109 int64_t* mat2_new_sizes_ptr = mat2_new_sizes.mutable_data_ptr<int64_t>();
110
111 auto mat2_new_strides = at::empty({N * n_heads, 2}, opt2);
112 int64_t* mat2_new_strides_ptr = mat2_new_strides.mutable_data_ptr<int64_t>();
113 auto mat2_new_offsets = at::empty({N * n_heads}, opt);
114 int64_t* mat2_new_offsets_ptr = mat2_new_offsets.mutable_data_ptr<int64_t>();
115
116 for (int64_t i = 0; i < N; i++) {
117 const IntArrayRef& self_size_i = self_sizes[i];
118 const IntArrayRef& self_stride_i = self_strides[i];
119 int64_t self_offset = self_offsets_ptr[i];
120
121 const IntArrayRef& mat2_size_i = mat2_sizes[i];
122 const IntArrayRef& mat2_stride_i = mat2_strides[i];
123 int64_t mat2_offset = mat2_offsets_ptr[i];
124 for (int64_t j = 0; j < n_heads; j++) {
125 auto idx = (i * n_heads + j) * 2;
126 self_new_sizes_ptr[idx] = self_size_i[1];
127 self_new_sizes_ptr[idx + 1] = self_size_i[2];
128 self_new_strides_ptr[idx] = self_stride_i[1];
129 self_new_strides_ptr[idx + 1] = self_stride_i[2];
130 auto offset_idx = i * n_heads + j;
131 self_new_offsets_ptr[offset_idx] = self_offset;
132 self_offset += self_stride_i[0];
133
134 mat2_new_sizes_ptr[idx] = mat2_size_i[1];
135 mat2_new_sizes_ptr[idx + 1] = mat2_size_i[2];
136 mat2_new_strides_ptr[idx] = mat2_stride_i[1];
137 mat2_new_strides_ptr[idx + 1] = mat2_stride_i[2];
138 mat2_new_offsets_ptr[offset_idx] = mat2_offset;
139 mat2_offset += mat2_stride_i[0];
140 }
141 }
142
143 // view self as [N * n_heads, *, head_dim] (collapse first 2 dims)
144 auto viewed_self = create_nested_view_tensor(
145 self, self_new_sizes, self_new_strides, self_new_offsets);
146
147 // view mat2 as [N * n_heads, head_dim, *] (collapse first 2_dims)
148 auto viewed_mat2 = create_nested_view_tensor(
149 mat2, mat2_new_sizes, mat2_new_strides, mat2_new_offsets);
150
151 // output [N * n_heads, *, *]
152 auto bmm_output = at::bmm(viewed_self, viewed_mat2);
153
154 // generate metadata for viewing output as [N, n_heads, *, *]
155 // output of bmm should be contiguous so stride calculations should hold
156 auto out_new_sizes = at::empty({N, 3}, opt);
157 auto out_new_strides = at::empty({N, 3}, opt);
158 auto out_new_offsets = at::empty({N}, opt);
159 int64_t* out_new_offsets_ptr = out_new_offsets.mutable_data_ptr<int64_t>();
160
161 int64_t* out_new_sizes_ptr = out_new_sizes.data_ptr<int64_t>();
162 int64_t* out_new_strides_ptr = out_new_strides.data_ptr<int64_t>();
163
164 int64_t out_offset = 0;
165 for (int64_t i = 0; i < N; i++) {
166 out_new_offsets_ptr[i] = out_offset;
167 const IntArrayRef& self_size_i = self_sizes[i];
168 const IntArrayRef& mat2_size_i = mat2_sizes[i];
169 auto idx = i * 3;
170 out_new_sizes_ptr[idx] = n_heads;
171 out_new_sizes_ptr[idx + 1] = self_size_i[1];
172 out_new_sizes_ptr[idx + 2] = mat2_size_i[2];
173 out_new_strides_ptr[idx] = self_size_i[1] * mat2_size_i[2];
174 out_new_strides_ptr[idx + 1] = mat2_size_i[2];
175 out_new_strides_ptr[idx + 2] = 1;
176 out_offset += n_heads * (self_size_i[1] * mat2_size_i[2]);
177 }
178
179 auto viewed_out = create_nested_view_tensor(
180 bmm_output, out_new_sizes, out_new_strides, out_new_offsets);
181
182 return viewed_out;
183 }
184
185 // nt: NT of shape (B, *, C, D)
186 // other: dense tensor of shape (D, E)
187 // output: NT of shape (B, *, C, E)
matmul_nested_with_broadcasted_dense(const Tensor & nt,const Tensor & other)188 static Tensor matmul_nested_with_broadcasted_dense(
189 const Tensor& nt,
190 const Tensor& other) {
191 // View nt buffer as 3D jagged for matmul
192 auto* nt_impl = get_nested_tensor_impl(nt);
193 auto jagged = nt_impl->get_buffer().view({-1, nt.size(2), nt.size(3)});
194 auto new_buffer = at::matmul(jagged, other);
195
196 // Wrap result into nested tensor
197 const auto E = other.size(-1);
198 const auto component_dim = nt.dim() - 1;
199 auto new_sizes = nt_impl->get_nested_sizes().clone();
200 auto new_sizes_ptr = new_sizes.data_ptr<int64_t>();
201 for (const auto i : c10::irange(nt.size(0))) {
202 new_sizes_ptr[i * component_dim + 2] = E;
203 }
204 return at::detail::make_tensor<NestedTensorImpl>(
205 new_buffer.view(-1), new_sizes);
206 }
207
208 // Note [nested tensor matmul]
209 // This is really a generalized batched matmul dedicated to nested tensors,
210 // where `self` and `mat2` have same number (>= 3) of dimensions.
211 // The last 2 dimensions will be considered as matrix dimensions,
212 // so they should be matrix-multiplicable.
213 // The leading dimensions are considered as batch dimensions,
214 // and since nested tensor does not support broadcasting for now,
215 // for each batch dimension `self` and `mat2` must have same size.
216 // TODO: Should make full matmul semantics support some day
matmul_nested(const Tensor & self,const Tensor & mat2)217 Tensor matmul_nested(const Tensor& self, const Tensor& mat2) {
218 // special case of NT (B, *, C, D) with broadcasted dense (D, E)
219 if (self.is_nested() && self.is_contiguous() && !mat2.is_nested() &&
220 self.dim() == 4 && mat2.dim() == 2 &&
221 get_nested_tensor_impl(self)->opt_size(2).has_value() &&
222 get_nested_tensor_impl(self)->opt_size(3).has_value() &&
223 self.size(3) == mat2.size(0)) {
224 return matmul_nested_with_broadcasted_dense(self, mat2);
225 }
226 if (self.is_nested() && !mat2.is_nested()) {
227 AT_ERROR(
228 "Expected both to be nested, but got a nested self and non-nested other");
229 } else if (!self.is_nested() && mat2.is_nested()) {
230 AT_ERROR(
231 "Expected both to be nested, but got a non-nested self and nested other");
232 }
233 // to_padded_tensor only supports contiguous inputs
234 auto self_contig = self.contiguous();
235 auto mat2_contig = mat2.contiguous();
236 // dispatcher should have guaranteed that at least one is nested
237 const auto self_ptr = get_nested_tensor_impl(self_contig);
238 const auto mat2_ptr = get_nested_tensor_impl(mat2_contig);
239 int64_t self_dim = self_ptr->dim(), mat2_dim = mat2_ptr->dim();
240 TORCH_CHECK(
241 self_dim >= 3,
242 "matmul: For nested tensors, only inputs with >= 3 dims are currently supported. 1st input has rank: ",
243 self_dim);
244 TORCH_CHECK(
245 mat2_dim >= 3,
246 "matmul: For nested tensors, only inputs with >= 3 dims are currently supported. 2nd input has rank: ",
247 mat2_dim);
248 TORCH_CHECK(
249 self_dim == mat2_dim, "matmul: both inputs must have the same rank");
250 int64_t ntensors = self_ptr->size(0), ntensors2 = mat2_ptr->size(0);
251 TORCH_CHECK(
252 ntensors == ntensors2,
253 "matmul: Expected size for the 1st dimension of 2nd input tensor to be: ",
254 ntensors,
255 " but got: ",
256 ntensors2,
257 ".");
258 // Ensure batch dimensions have the same sizes (no broadcasting).
259 const auto& self_sizes = self_ptr->get_nested_sizes();
260 const auto& mat2_sizes = mat2_ptr->get_nested_sizes();
261 const auto& self_batch_sizes = self_sizes.narrow(1, 0, self_dim - 3);
262 const auto& mat2_batch_sizes = mat2_sizes.narrow(1, 0, mat2_dim - 3);
263 TORCH_CHECK(
264 at::equal(self_batch_sizes, mat2_batch_sizes),
265 "matmul: For nested tensors, batch dimensions must have the same sizes, ",
266 "no broadcasting is currently performed. Got batch shapes for self ",
267 self_batch_sizes,
268 " and batch shapes for mat2 ",
269 mat2_batch_sizes);
270 // Ensure last dim of self and second last dim of mat2 have the same size
271 const auto& self_dim_size = self_sizes.select(1, -1);
272 const auto& mat2_dim_size = mat2_sizes.select(1, -2);
273 TORCH_CHECK(
274 at::equal(self_dim_size, mat2_dim_size),
275 "matmul: Nested tensors cannot be matrix multiplied, last dimension of self has sizes",
276 self_dim_size,
277 "second last dimension of mat2 has sizes",
278 mat2_dim_size);
279
280 // use bmm inference-only fast path for [N, n_heads, *, head_dim] [N, n_heads,
281 // head_dim, *]
282 if (self.is_cuda() && self_dim == 4 && self.is_contiguous() &&
283 mat2_dim == 4 && mat2.is_contiguous() &&
284 !(GradMode::is_enabled() &&
285 (self.requires_grad() || mat2.requires_grad()))) {
286 const auto& self_opt_head_dim = self_ptr->opt_size(1);
287 const auto& mat2_opt_head_dim = mat2_ptr->opt_size(1);
288 if (self_opt_head_dim.has_value() && mat2_opt_head_dim.has_value() &&
289 self_opt_head_dim.value() == mat2_opt_head_dim.value()) {
290 return matmul_with_bmm_nested(self, mat2);
291 }
292 }
293
294 // Construct output size from input sizes
295 Tensor output_sizes = self_sizes.clone();
296 // The last entry in every row of output_sizes should be last column of
297 // mat2_sizes
298 output_sizes.index_put_(
299 {at::indexing::Slice(), -1}, mat2_sizes.select(1, -1).clone());
300
301 auto self_padded = self_contig.to_padded_tensor(0.);
302 auto mat2_padded = mat2_contig.to_padded_tensor(0.);
303 auto output_padded = at::matmul(self_padded, mat2_padded);
304 auto output_nested = nested_from_padded_generic(output_padded, output_sizes);
305 return output_nested;
306 }
307
matmul_out_nested(const Tensor & tensor1,const Tensor & tensor2,Tensor & result)308 Tensor& matmul_out_nested(
309 const Tensor& tensor1,
310 const Tensor& tensor2,
311 Tensor& result) {
312 // TODO: this is a very quick and dirty implementation
313 // should improve it to avoid the intermediate memory usage
314 Tensor function_result = at::matmul(tensor1, tensor2);
315 auto function_result_ptr = get_nested_tensor_impl(function_result);
316 // TODO: this is to reproduce function_result_ptr->opt_sizes_
317 // if an accessor is provided in the future, can replace this
318 std::vector<int64_t> sizes;
319 for (int64_t i = 0; i < function_result_ptr->dim(); i++) {
320 std::optional<int64_t> opt_size = function_result_ptr->opt_size(i);
321 if (opt_size.has_value()) {
322 sizes.push_back(*opt_size);
323 } else {
324 sizes.push_back(-1);
325 }
326 }
327 result.reshape(sizes);
328 result.copy_(function_result);
329 return result;
330 }
331
332 } // namespace at::native
333