From 4d0ba90bc7b13845850bfa151b3e213b0ebb8f9c Mon Sep 17 00:00:00 2001 From: Philippe Tillet Date: Wed, 21 Apr 2021 01:58:48 -0400 Subject: [PATCH] [GH-PAGES] Updated website --- .../02-fused-softmax.ipynb | 2 +- .../tutorials_jupyter.zip | Bin 28358 -> 28379 bytes .../tutorials_python.zip | Bin 21401 -> 21422 bytes .../02-fused-softmax.py | 2 +- _images/sphx_glr_01-vector-add_001.png | Bin 27660 -> 26836 bytes _images/sphx_glr_01-vector-add_thumb.png | Bin 17549 -> 17413 bytes _images/sphx_glr_02-fused-softmax_001.png | Bin 36534 -> 34678 bytes _images/sphx_glr_02-fused-softmax_thumb.png | Bin 23506 -> 22338 bytes .../sphx_glr_03-matrix-multiplication_001.png | Bin 37376 -> 36792 bytes ...phx_glr_03-matrix-multiplication_thumb.png | Bin 24601 -> 24333 bytes .../tutorials/01-vector-add.rst.txt | 2 +- .../tutorials/02-fused-softmax.rst.txt | 4 +- .../03-matrix-multiplication.rst.txt | 102 ++++++------- .../tutorials/sg_execution_times.rst.txt | 8 +- getting-started/tutorials/01-vector-add.html | 2 +- .../tutorials/02-fused-softmax.html | 4 +- .../tutorials/03-matrix-multiplication.html | 102 ++++++------- .../tutorials/sg_execution_times.html | 12 +- .../python-api/generated/triton.arange.html | 30 +--- .../generated/triton.atomic_cas.html | 32 +---- .../generated/triton.atomic_xchg.html | 32 +---- .../generated/triton.broadcast_to.html | 31 +--- .../python-api/generated/triton.dot.html | 29 +--- .../python-api/generated/triton.exp.html | 32 +---- .../python-api/generated/triton.load.html | 32 +---- .../python-api/generated/triton.log.html | 32 +---- .../python-api/generated/triton.max.html | 31 +--- .../python-api/generated/triton.maximum.html | 30 +--- .../python-api/generated/triton.min.html | 31 +--- .../python-api/generated/triton.minimum.html | 30 +--- .../generated/triton.multiple_of.html | 29 +--- .../generated/triton.num_programs.html | 30 +--- .../generated/triton.program_id.html | 30 +--- .../python-api/generated/triton.ravel.html | 31 +--- .../python-api/generated/triton.reshape.html | 31 +--- .../python-api/generated/triton.sigmoid.html | 32 +---- .../python-api/generated/triton.softmax.html | 32 +---- .../python-api/generated/triton.store.html | 32 +---- .../python-api/generated/triton.sum.html | 31 +--- .../python-api/generated/triton.where.html | 29 +--- .../python-api/generated/triton.zeros.html | 30 +--- language-reference/python-api/index.html | 136 ++---------------- programming-guide/chapter-1/introduction.html | 4 +- searchindex.js | 2 +- 44 files changed, 204 insertions(+), 887 deletions(-) diff --git a/_downloads/034d953b6214fedce6ea03803c712b89/02-fused-softmax.ipynb b/_downloads/034d953b6214fedce6ea03803c712b89/02-fused-softmax.ipynb index 8c90a0be8..91722fcae 100644 --- a/_downloads/034d953b6214fedce6ea03803c712b89/02-fused-softmax.ipynb +++ b/_downloads/034d953b6214fedce6ea03803c712b89/02-fused-softmax.ipynb @@ -76,7 +76,7 @@ }, "outputs": [], "source": [ - "def next_power_of_2(n):\n n -= 1\n n |= n >> 1\n n |= n >> 2\n n |= n >> 4\n n |= n >> 8\n n |= n >> 16\n n += 1\n return n\n\n\ndef softmax(x):\n M, N = x.shape\n # The block size is the smallest power of two greater than the number of columns in `x`\n BLOCK = next_power_of_2(N)\n # Another trick we can use is to ask the compiler to parallelize each\n # row-normalization more aggressively -- i.e., with more warps -- vectors\n # that are longer\n # You will see in the next tutorial how to auto-tune this value in a more natural\n # way so you don't have to come up with manual heuristics yourself\n num_warps = 4\n if BLOCK >= 2048: num_warps = 8\n if BLOCK >= 4096: num_warps = 16\n # Allocate output\n y = torch.empty_like(x)\n # Enqueue kernel. The launch grid is simple: we have one kernel instance per row of the input matrix\n _softmax[(M, )](y, x, x.stride(0), y.stride(0), M, N, BLOCK=BLOCK)\n return y" + "def next_power_of_2(n):\n n -= 1\n n |= n >> 1\n n |= n >> 2\n n |= n >> 4\n n |= n >> 8\n n |= n >> 16\n n += 1\n return n\n\n\ndef softmax(x):\n M, N = x.shape\n # The block size is the smallest power of two greater than the number of columns in `x`\n BLOCK = next_power_of_2(N)\n # Another trick we can use is to ask the compiler to parallelize each\n # row-normalization more aggressively -- i.e., with more warps -- vectors\n # that are longer\n # You will see in the next tutorial how to auto-tune this value in a more natural\n # way so you don't have to come up with manual heuristics yourself\n num_warps = 4\n if BLOCK >= 2048: num_warps = 8\n if BLOCK >= 4096: num_warps = 16\n # Allocate output\n y = torch.empty_like(x)\n # Enqueue kernel. 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Total running time of the script: ( 0 minutes 5.812 seconds)

+

Total running time of the script: ( 0 minutes 7.044 seconds)

@@ -343,7 +343,7 @@ This means that – when temporary data is too large to fit entirely in the GPU Note that our Triton kernel is not only faster than PyTorch’s CUDA kernel, it is also easier to read, understand and maintain.

-

Total running time of the script: ( 0 minutes 20.767 seconds)

+

Total running time of the script: ( 0 minutes 20.176 seconds)

Out:

-
tensor([[-0.0000e+00,  2.9438e+01, -1.3113e-06,  ...,  9.7266e+00,
-         -3.4237e-04, -0.0000e+00],
-        [-1.7615e-01, -0.0000e+00,  6.1914e+00,  ...,  3.7562e+01,
-         -0.0000e+00, -0.0000e+00],
-        [ 9.9531e+00,  1.9078e+01, -0.0000e+00,  ...,  3.6934e+00,
-          1.6578e+01,  2.1031e+01],
+
tensor([[-5.9605e-08,  5.1094e+01, -1.8477e-05,  ...,  2.6547e+01,
+         -7.2598e-05, -4.2510e-04],
+        [-2.7100e-01, -3.0220e-05,  5.9414e+00,  ...,  2.8340e+00,
+         -1.8644e-04,  1.3094e+01],
+        [-1.5332e-01,  4.8125e+00,  8.4277e-01,  ...,  3.6387e+00,
+          4.3375e+01,  1.6865e+00],
         ...,
-        [ 2.6547e+01, -1.1802e-05,  7.7852e+00,  ...,  5.2156e+01,
-          3.5469e+01,  1.5602e+01],
-        [-0.0000e+00, -0.0000e+00,  1.6531e+01,  ...,  2.1211e+00,
-          1.7412e+00,  1.1422e+01],
-        [-2.6550e-02, -1.1325e-05,  3.0344e+01,  ..., -9.1248e-03,
-         -1.5199e-05,  3.8164e+00]], device='cuda:0', dtype=torch.float16)
-tensor([[-0.0000e+00,  2.9438e+01, -1.3113e-06,  ...,  9.7266e+00,
-         -3.4261e-04, -0.0000e+00],
-        [-1.7615e-01, -0.0000e+00,  6.1914e+00,  ...,  3.7562e+01,
-         -0.0000e+00, -0.0000e+00],
-        [ 9.9531e+00,  1.9078e+01, -0.0000e+00,  ...,  3.6934e+00,
-          1.6578e+01,  2.1031e+01],
+        [-0.0000e+00,  2.9453e+01, -4.7684e-07,  ...,  6.2617e+00,
+          4.1133e+00, -0.0000e+00],
+        [ 1.6562e+01, -8.1539e-04,  1.3836e+01,  ...,  1.9844e+00,
+         -1.1238e-02,  8.4375e+00],
+        [-1.0876e-01, -2.7295e-01,  3.2156e+01,  ..., -1.6907e-02,
+         -0.0000e+00, -0.0000e+00]], device='cuda:0', dtype=torch.float16)
+tensor([[-5.9605e-08,  5.1094e+01, -1.8537e-05,  ...,  2.6547e+01,
+         -7.2658e-05, -4.2605e-04],
+        [-2.7100e-01, -3.0220e-05,  5.9414e+00,  ...,  2.8340e+00,
+         -1.8632e-04,  1.3094e+01],
+        [-1.5332e-01,  4.8125e+00,  8.4277e-01,  ...,  3.6387e+00,
+          4.3375e+01,  1.6875e+00],
         ...,
-        [ 2.6547e+01, -1.1802e-05,  7.7852e+00,  ...,  5.2156e+01,
-          3.5469e+01,  1.5602e+01],
-        [-0.0000e+00, -0.0000e+00,  1.6531e+01,  ...,  2.1211e+00,
-          1.7412e+00,  1.1422e+01],
-        [-2.6550e-02, -1.1325e-05,  3.0344e+01,  ..., -9.1324e-03,
-         -1.5199e-05,  3.8164e+00]], device='cuda:0', dtype=torch.float16)
+        [-0.0000e+00,  2.9453e+01, -4.7684e-07,  ...,  6.2617e+00,
+          4.1133e+00, -0.0000e+00],
+        [ 1.6562e+01, -8.1778e-04,  1.3836e+01,  ...,  1.9844e+00,
+         -1.1238e-02,  8.4375e+00],
+        [-1.0876e-01, -2.7295e-01,  3.2156e+01,  ..., -1.6891e-02,
+         -0.0000e+00, -0.0000e+00]], device='cuda:0', dtype=torch.float16)
 tensor(True, device='cuda:0')
 
@@ -472,39 +472,39 @@ tensor(True, device='cuda:0')

Out:

         M      cuBLAS      Triton
 0    512.0   20.164923   15.420235
-1    768.0   58.982401   42.130286
+1    768.0   58.982401   40.215272
 2   1024.0   91.180520   72.315584
 3   1280.0  157.538463  117.028568
-4   1536.0  150.593357  147.455995
-5   1792.0  212.064605  193.783168
-6   2048.0  197.379013  151.146088
-7   2304.0  243.753804  179.608068
-8   2560.0  237.449270  217.006622
-9   2816.0  233.231062  200.987140
+4   1536.0  153.867127  144.446699
+5   1792.0  208.137481  190.498706
+6   2048.0  199.728763  152.520144
+7   2304.0  246.266731  178.267699
+8   2560.0  235.741014  215.578957
+9   2816.0  231.990461  198.246398
 10  3072.0  236.916752  221.184001
-11  3328.0  234.499328  210.500857
+11  3328.0  239.173747  210.500857
 12  3584.0  248.385067  230.552287
-13  3840.0  252.493157  223.418188
-14  4096.0  263.689066  244.922869
-15  4352.0  247.295210  231.639115
-16  4608.0  274.573240  254.803966
-17  4864.0  266.298229  245.366501
-18  5120.0  259.548513  238.312729
-19  5376.0  252.676487  237.081606
-20  5632.0  270.685535  249.046163
-21  5888.0  264.382140  242.069377
-22  6144.0  262.447761  240.565495
-23  6400.0  257.028108  235.078047
-24  6656.0  254.386204  232.699140
-25  6912.0  252.040861  232.926171
-26  7168.0  253.193644  231.815375
-27  7424.0  251.789150  232.860938
-28  7680.0  250.988932  231.727608
-29  7936.0  253.622108  232.094986
-30  8192.0  253.121589  231.859598
+13  3840.0  251.917998  222.519114
+14  4096.0  263.172024  244.032234
+15  4352.0  249.595626  232.307632
+16  4608.0  276.560014  254.803966
+17  4864.0  266.614125  245.366501
+18  5120.0  257.003930  238.096276
+19  5376.0  252.676487  236.527241
+20  5632.0  270.057027  248.514009
+21  5888.0  264.206935  242.511113
+22  6144.0  259.441481  241.205983
+23  6400.0  257.157204  235.078047
+24  6656.0  254.161678  232.699140
+25  6912.0  251.844029  233.178785
+26  7168.0  253.282797  231.740709
+27  7424.0  251.868505  230.377264
+28  7680.0  250.988932  231.606284
+29  7936.0  253.293068  229.692102
+30  8192.0  253.002304  231.360005
 
-

Total running time of the script: ( 0 minutes 36.230 seconds)

+

Total running time of the script: ( 0 minutes 32.933 seconds)

@@ -288,9 +224,6 @@ -

dot

-

Returns the matrix product of two blocks.

-
@@ -302,18 +235,6 @@ -

load

-

Return a block of data whose values are, elementwise, loaded from memory at location defined by pointer.

- -

store

-

Stores value block of elements in memory, element-wise, at the memory locations specified by pointer.

- -

atomic_cas

-

- -

atomic_xchg

-

-
@@ -325,9 +246,6 @@ -

where

-

Returns a block of elements from either x or y, depending on condition.

- @@ -339,18 +257,6 @@ -

exp

-

- -

log

-

- -

sigmoid

-

- -

softmax

-

- @@ -362,15 +268,6 @@ -

max

-

- -

min

-

- -

sum

-

- @@ -382,12 +279,6 @@ -

minimum

-

- -

maximum

-

- @@ -399,9 +290,6 @@ -

multiple_of

-

- @@ -413,7 +301,7 @@