From 9b0ee317d9140b33a9d00ae86dbd8f3acd79ced0 Mon Sep 17 00:00:00 2001 From: Philippe Tillet Date: Sat, 16 Apr 2022 00:44:44 +0000 Subject: [PATCH] [GH-PAGES] Updated website --- master/.buildinfo | 2 +- master/.doctrees/environment.pickle | Bin 96603 -> 96603 bytes .../getting-started/installation.doctree | Bin 5899 -> 5899 bytes .../tutorials/01-vector-add.doctree | Bin 28418 -> 27862 bytes .../tutorials/02-fused-softmax.doctree | Bin 34027 -> 34027 bytes .../03-matrix-multiplication.doctree | Bin 55900 -> 55900 bytes .../tutorials/04-low-memory-dropout.doctree | Bin 35766 -> 35766 bytes .../tutorials/05-layer-norm.doctree | Bin 32932 -> 32932 bytes .../getting-started/tutorials/index.doctree | Bin 15854 -> 15854 bytes .../tutorials/sg_execution_times.doctree | Bin 10002 -> 10002 bytes master/.doctrees/index.doctree | Bin 9700 -> 9700 bytes .../chapter-1/introduction.doctree | Bin 33772 -> 33772 bytes .../chapter-2/related-work.doctree | Bin 62848 -> 62848 bytes 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"outputs": [], "source": [ - "import torch\n\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef add_kernel(\n x_ptr, # *Pointer* to first input vector\n y_ptr, # *Pointer* to second input vector\n output_ptr, # *Pointer* to output vector\n n_elements, # Size of the vector\n time_start_ptr, time_end_ptr,\n BLOCK_SIZE: tl.constexpr, # Number of elements each program should process\n # NOTE: `constexpr` so it can be used as a shape value\n):\n tl.atomic_min(time_start_ptr, tl.clock())\n # There are multiple 'program's processing different data. We identify which program\n # we are here\n pid = tl.program_id(axis=0) # We use a 1D launch grid so axis is 0\n # This program will process inputs that are offset from the initial data.\n # for instance, if you had a vector of length 256 and block_size of 64, the programs\n # would each access the elements [0:64, 64:128, 128:192, 192:256].\n # Note that offsets is a list of pointers\n block_start = pid * BLOCK_SIZE\n offsets = block_start + tl.arange(0, BLOCK_SIZE)\n # Create a mask to guard memory operations against out-of-bounds accesses\n mask = offsets < n_elements\n # Load x and y from DRAM, masking out any extra elements in case the input is not a\n # multiple of the block size\n x = tl.load(x_ptr + offsets, mask=mask)\n y = tl.load(y_ptr + offsets, mask=mask)\n output = x + y\n # Write x + y back to DRAM\n tl.store(output_ptr + offsets, output, mask=mask)\n tl.atomic_max(time_end_ptr, tl.clock())" + "import torch\n\nimport triton\nimport triton.language as tl\n\n\n@triton.jit\ndef add_kernel(\n x_ptr, # *Pointer* to first input vector\n y_ptr, # *Pointer* to second input vector\n output_ptr, # *Pointer* to output vector\n n_elements, # Size of the vector\n BLOCK_SIZE: tl.constexpr, # Number of elements each program should process\n # NOTE: `constexpr` so it can be used as a shape value\n):\n # There are multiple 'program's processing different data. We identify which program\n # we are here\n pid = tl.program_id(axis=0) # We use a 1D launch grid so axis is 0\n # This program will process inputs that are offset from the initial data.\n # for instance, if you had a vector of length 256 and block_size of 64, the programs\n # would each access the elements [0:64, 64:128, 128:192, 192:256].\n # Note that offsets is a list of pointers\n block_start = pid * BLOCK_SIZE\n offsets = block_start + tl.arange(0, BLOCK_SIZE)\n # Create a mask to guard memory operations against out-of-bounds accesses\n mask = offsets < n_elements\n # Load x and y from DRAM, masking out any extra elements in case the input is not a\n # multiple of the block size\n x = tl.load(x_ptr + offsets, mask=mask)\n y = tl.load(y_ptr + offsets, mask=mask)\n output = x + y\n # Write x + y back to DRAM\n tl.store(output_ptr + offsets, output, mask=mask)" ] }, { @@ -51,7 +51,7 @@ }, "outputs": [], "source": [ - "def add(x: torch.Tensor, y: torch.Tensor):\n time_start = torch.zeros(1, dtype=torch.int64, device='cuda')\n time_end = torch.zeros(1, dtype=torch.int64, device='cuda')\n # We need to preallocate the output\n output = torch.empty_like(x)\n assert x.is_cuda and y.is_cuda and output.is_cuda\n n_elements = output.numel()\n # The SPMD launch grid denotes the number of kernel instances that run in parallel.\n # It is analogous to CUDA launch grids. It can be either Tuple[int], or Callable(metaparameters) -> Tuple[int]\n # In this case, we use a 1D grid where the size is the number of blocks\n grid = lambda meta: (triton.cdiv(n_elements, meta['BLOCK_SIZE']),)\n # NOTE:\n # - each torch.tensor object is implicitly converted into a pointer to its first element.\n # - `triton.jit`'ed functions can be index with a launch grid to obtain a callable GPU kernel\n # - don't forget to pass meta-parameters as keywords arguments\n add_kernel[grid](x, y, output, n_elements, time_start, time_end, BLOCK_SIZE=1024)\n # We return a handle to z but, since `torch.cuda.synchronize()` hasn't been called, the kernel is still\n # running asynchronously at this point.\n return output" + "def add(x: torch.Tensor, y: torch.Tensor):\n # We need to preallocate the output\n output = torch.empty_like(x)\n assert x.is_cuda and y.is_cuda and output.is_cuda\n n_elements = output.numel()\n # The SPMD launch grid denotes the number of kernel instances that run in parallel.\n # It is analogous to CUDA launch grids. It can be either Tuple[int], or Callable(metaparameters) -> Tuple[int]\n # In this case, we use a 1D grid where the size is the number of blocks\n grid = lambda meta: (triton.cdiv(n_elements, meta['BLOCK_SIZE']),)\n # NOTE:\n # - each torch.tensor object is implicitly converted into a pointer to its first element.\n # - `triton.jit`'ed functions can be index with a launch grid to obtain a callable GPU kernel\n # - don't forget to pass meta-parameters as keywords arguments\n add_kernel[grid](x, y, output, n_elements, BLOCK_SIZE=1024)\n # We return a handle to z but, since `torch.cuda.synchronize()` hasn't been called, the kernel is still\n # running asynchronously at this point.\n return output" ] }, { diff --git a/master/_images/sphx_glr_01-vector-add_001.png b/master/_images/sphx_glr_01-vector-add_001.png index 8c54308c53a12af5be0004c2137d63172c7d8c7a..7ab4514fbed8293c6bc5fe4287f90237937920d7 100644 GIT binary patch literal 24272 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time_start_ptr, time_end_ptr, BLOCK_SIZE: tl.constexpr, # Number of elements each program should process # NOTE: `constexpr` so it can be used as a shape value ): - tl.atomic_min(time_start_ptr, tl.clock()) # There are multiple 'program's processing different data. We identify which program # we are here pid = tl.program_id(axis=0) # We use a 1D launch grid so axis is 0 @@ -237,14 +235,11 @@ to download the full example code

output = x + y # Write x + y back to DRAM tl.store(output_ptr + offsets, output, mask=mask) - tl.atomic_max(time_end_ptr, tl.clock())

Let’s also declare a helper function to (1) allocate the z tensor and (2) enqueue the above kernel with appropriate grid/block sizes.

def add(x: torch.Tensor, y: torch.Tensor):
-    time_start = torch.zeros(1, dtype=torch.int64, device='cuda')
-    time_end = torch.zeros(1, dtype=torch.int64, device='cuda')
     # We need to preallocate the output
     output = torch.empty_like(x)
     assert x.is_cuda and y.is_cuda and output.is_cuda
@@ -257,7 +252,7 @@ and (2) enqueue the above kernel with appropriate grid/block sizes.

# - each torch.tensor object is implicitly converted into a pointer to its first element. # - `triton.jit`'ed functions can be index with a launch grid to obtain a callable GPU kernel # - don't forget to pass meta-parameters as keywords arguments - add_kernel[grid](x, y, output, n_elements, time_start, time_end, BLOCK_SIZE=1024) + add_kernel[grid](x, y, output, n_elements, BLOCK_SIZE=1024) # We return a handle to z but, since `torch.cuda.synchronize()` hasn't been called, the kernel is still # running asynchronously at this point. return output @@ -327,25 +322,25 @@ for different problem sizes.

Out:

vector-add-performance:
            size      Triton       Torch
-0        4096.0    4.800000    9.600000
-1        8192.0    9.600000   19.200000
-2       16384.0   19.200000   38.400001
-3       32768.0   34.909091   63.999998
-4       65536.0   69.818181  127.999995
-5      131072.0  139.636363  219.428568
-6      262144.0  219.428568  384.000001
-7      524288.0  361.411758  472.615390
-8     1048576.0  491.520012  614.400016
-9     2097152.0  599.414644  702.171410
-10    4194304.0  702.171410  780.190482
-11    8388608.0  774.047204  812.429770
-12   16777216.0  809.086412  833.084721
-13   33554432.0  829.569620  842.004273
-14   67108864.0  840.205105  848.362445
-15  134217728.0  846.080710  850.656574
+0        4096.0    9.600000    9.600000
+1        8192.0   19.200000   19.200000
+2       16384.0   38.400001   38.400001
+3       32768.0   63.999998   63.999998
+4       65536.0  127.999995  127.999995
+5      131072.0  219.428568  219.428568
+6      262144.0  341.333321  384.000001
+7      524288.0  472.615390  472.615390
+8     1048576.0  614.400016  614.400016
+9     2097152.0  722.823517  702.171410
+10    4194304.0  780.190482  780.190482
+11    8388608.0  812.429770  812.429770
+12   16777216.0  833.084721  833.084721
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+15  134217728.0  849.737435  850.656574
 
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Total running time of the script: ( 1 minutes 42.289 seconds)

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Total running time of the script: ( 1 minutes 49.775 seconds)

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Total running time of the script: ( 2 minutes 15.414 seconds)

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Total running time of the script: ( 2 minutes 14.228 seconds)