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benchmark_gemv.py
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import
os
import
torch
import
triton
import
numpy
as
np
import
sys
import
sys
sys
.
path
.
append
(
"../"
)
from
kernels
.
sparse_gemv
import
splitk_sparse_gemv
,
splitk_sparse_gemv_kernel
from
typing
import
Optional
import
torch
import
triton
import
triton
.
language
as
tl
def
init_to_zero
(
*
names
):
def
init_func
(
nargs
):
for
name
in
names
:
nargs
[
name
].
zero_
()
return
init_func
# 20 bins
# cache the sparsity level so autotune sees it
def
discretize_sparsity
(
x
):
# return 0 # comment out if don't want super long tuning
# return 0
return
int
(
abs
(
x
)
//
0.05
)
@
triton
.
autotune
(
configs
=
[
triton
.
Config
({
"BLOCK_M"
:
8
,
"BLOCK_N"
:
128
},
num_warps
=
2
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
16
,
"BLOCK_N"
:
256
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
16
,
"BLOCK_N"
:
256
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
16
,
"BLOCK_N"
:
512
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
16
,
"BLOCK_N"
:
1024
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
32
,
"BLOCK_N"
:
256
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
32
,
"BLOCK_N"
:
512
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
32
,
"BLOCK_N"
:
1024
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
64
,
"BLOCK_N"
:
256
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
64
,
"BLOCK_N"
:
512
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
64
,
"BLOCK_N"
:
1024
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
128
,
"BLOCK_N"
:
16
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
128
,
"BLOCK_N"
:
32
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
128
,
"BLOCK_N"
:
64
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
128
,
"BLOCK_N"
:
128
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
128
,
"BLOCK_N"
:
256
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
128
,
"BLOCK_N"
:
512
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
triton
.
Config
({
"BLOCK_M"
:
128
,
"BLOCK_N"
:
1024
},
num_warps
=
4
,
pre_hook
=
init_to_zero
(
"Y"
)),
],
key
=
[
"CACHE_KEY_M"
,
"CACHE_KEY_N"
,
"BATCHSIZE"
,
"SPARSITY_BIN"
],
)
@
triton
.
jit
def
gather_transposed_gemv_flag_atomicadd_kernel
(
Y
,
# Pointers to matrices
A
,
X
,
IDX
,
# Matrix dimensions
M
,
N
,
CACHE_KEY_M
,
CACHE_KEY_N
,
# The stride variables represent how much to increase the ptr by when moving by 1
# element in a particular dimension. E.g. stride_am is how much to increase a_ptr
# by to get the element one row down (A has M rows)
stride_am
,
# Meta-parameters
BATCHSIZE
:
tl
.
constexpr
,
SPARSITY_BIN
:
tl
.
constexpr
,
BLOCK_M
:
tl
.
constexpr
,
BLOCK_N
:
tl
.
constexpr
,
):
"""
Kernel for computing Y = A[IDX, :]^T @ X + BIAS, where A is a dense matrix
with Z rows and N columns. We also batch across the batch dimension of the input X.
We will not check that the indices are valid, for performance reason.
- Input X has shape (BATCHSIZE, M)
- Weight has shape (Z, N)
- IDX has shape (M), where M is the number of non-zero rows in A
- Bias has shape (N)
- Output has shape (BATCHSIZE, N)
"""
start_m
=
tl
.
program_id
(
0
)
start_n
=
tl
.
program_id
(
1
)
# now compute the block that each program will go through
# rm (resp. rn) denotes a range of indices for rows (resp. col) of A
rm
=
start_m
*
BLOCK_M
+
tl
.
arange
(
0
,
BLOCK_M
)
rn
=
start_n
*
BLOCK_N
+
tl
.
arange
(
0
,
BLOCK_N
)
IDX
=
IDX
+
rm
idx
=
tl
.
load
(
IDX
,
mask
=
rm
<
M
,
other
=
0
)
>
0
A
=
A
+
(
rm
[:,
None
]
*
stride_am
+
rn
[
None
, :])
X
=
X
+
rm
Y
=
Y
+
rn
if
BATCHSIZE
==
1
:
a
=
tl
.
load
(
A
,
mask
=
idx
[:,
None
],
other
=
0.0
)
x0
=
tl
.
load
(
X
)
#, mask=idx, other=0.0) # if flag_gemv is correct, this will be unnecessary.
acc0
=
tl
.
sum
(
a
.
to
(
tl
.
float32
)
*
x0
.
to
(
tl
.
float32
)[:,
None
],
0
)
# rematerialize rm and rn to save registers
rn
=
start_n
*
BLOCK_N
+
tl
.
arange
(
0
,
BLOCK_N
)
tl
.
atomic_add
(
Y
,
acc0
,
mask
=
rn
<
N
)
def
gather_transposed_gemv_flag_3d
(
x
:
torch
.
Tensor
,
weight
:
torch
.
Tensor
,
idx
:
torch
.
Tensor
,
sparsity_bin
:
int
)
->
torch
.
Tensor
:
"""
Compute y = weight[idx, :]^T @ x.
:param x: input tensor
:param weight: weight matrix
:param idx: indices
:return: result tensor
"""
Z
,
N
=
weight
.
shape
beam_width
,
seq_len
,
_
=
x
.
shape
assert
x
.
shape
[
2
]
==
Z
x
=
x
.
contiguous
()
if
weight
.
stride
(
1
)
>
1
:
weight
=
weight
.
contiguous
()
output
=
torch
.
empty
(
beam_width
,
seq_len
,
N
,
device
=
x
.
device
,
dtype
=
torch
.
float32
,
)
# 1D launch kernel where each block gets its own program.
grid
=
lambda
META
: (
triton
.
cdiv
(
Z
,
META
[
"BLOCK_M"
]),
triton
.
cdiv
(
N
,
META
[
"BLOCK_N"
]),
)
# noqa
kernel
=
gather_transposed_gemv_flag_atomicadd_kernel
kernel
[
grid
](
output
,
# data ptrs
weight
,
x
,
idx
,
Z
,
# shapes
N
,
Z
//
128
,
# key for triton cache (limit number of compilations)
N
//
32
,
weight
.
stride
(
0
),
# strides
beam_width
,
# can't use kwargs because auto-tuner requires args
sparsity_bin
,
)
return
output
# .to(dtype=weight.dtype)
# maybe not column major?
def
deja_vu_gemv
(
x
,
weight
,
sparsity_level
):
idx
=
x
.
abs
()
>
sparsity_level
/
2
return
gather_transposed_gemv_flag_3d
(
x
,
weight
,
idx
,
discretize_sparsity
(
sparsity_level
))
def
our_sparse_gemv
(
x
,
weight
,
sparsity_level
):
# assuming uniform random
threshold
=
sparsity_level
/
2
return
splitk_sparse_gemv
(
x
,
weight
,
threshold
,
discretize_sparsity
(
sparsity_level
))
def
dense_gemv
(
x
,
weight
):
return
x
@
weight
# 20 bins
# cache the sparsity level so autotune sees it
def
discretize_sparsity
(
x
):
# return 0 # comment out if don't want super long tuning
# return 0
return
int
(
abs
(
x
)
//
0.05
)
zeal_results
=
[]
deja_vu_results
=
[]
dense_results
=
[]
theoretical_results
=
[]
@
triton
.
testing
.
perf_report
(
triton
.
testing
.
Benchmark
(
x_names
=
[
'sparsity_level'
],
# Argument names to use as an x-axis for the plot.
x_vals
=
[
i
*
0.01
for
i
in
range
(
0
,
101
)],
# Different possible values for `x_name`.
line_arg
=
'provider'
,
# Argument name whose value corresponds to a different line in the plot.
line_vals
=
[
'zeal'
,
'deja vu'
,
'dense'
,
'theoretical optimal'
],
# Possible values for `line_arg`.
line_names
=
[
'ZEAL'
,
'Deja Vu'
,
'Dense'
,
'Theoretical Optimal'
],
# Label name for the lines.
styles
=
[(
'blue'
,
'-'
),(
'purple'
,
'-'
), (
'green'
,
'-'
), (
'red'
,
'-'
)],
# Line styles.
ylabel
=
'ms'
,
# Label name for the y-axis.
args
=
{
"in_size"
:
4096
,
"out_size"
:
14336
},
# Values for function arguments not in `x_names` and `y_name`.
plot_name
=
'Kernel Plot (A6000) (4096x14336)'
,
# Name for the plot. Used also as a file name for saving the plot.
))
def
benchmark
(
sparsity_level
,
provider
,
in_size
,
out_size
):
x
=
torch
.
rand
((
1
,
1
,
in_size
),
device
=
'cuda'
,
dtype
=
torch
.
float16
)
-
0.5
W
=
torch
.
rand
((
out_size
,
in_size
),
device
=
'cuda'
,
dtype
=
torch
.
float16
)
-
0.5
W
=
W
.
T
.
contiguous
().
T
W_T
=
W
.
T
.
contiguous
()
quantiles
=
[
0.5
,
0.2
,
0.8
]
if
provider
==
'dense'
:
ms
,
min_ms
,
max_ms
=
triton
.
testing
.
do_bench
(
lambda
:
dense_gemv
(
x
,
W_T
),
quantiles
=
quantiles
)
dense_results
.
append
((
sparsity_level
,
ms
,
min_ms
,
max_ms
))
if
provider
==
'zeal'
:
ms
,
min_ms
,
max_ms
=
triton
.
testing
.
do_bench
(
lambda
:
our_sparse_gemv
(
x
,
W
,
sparsity_level
),
quantiles
=
quantiles
,
rep
=
1000
)
print
(
splitk_sparse_gemv_kernel
.
best_config
,
ms
)
zeal_results
.
append
((
sparsity_level
,
ms
,
min_ms
,
max_ms
))
if
provider
==
'deja vu'
:
ms
,
min_ms
,
max_ms
=
triton
.
testing
.
do_bench
(
lambda
:
deja_vu_gemv
(
x
,
W_T
,
sparsity_level
),
quantiles
=
quantiles
,
rep
=
1000
)
# print(gather_transposed_gemv_flag_atomicadd_kernel.best_config, ms)
deja_vu_results
.
append
((
sparsity_level
,
ms
,
min_ms
,
max_ms
))
if
provider
==
'theoretical optimal'
:
ms
,
min_ms
,
max_ms
=
triton
.
testing
.
do_bench
(
lambda
:
dense_gemv
(
x
,
W_T
),
quantiles
=
quantiles
)
ms
*=
(
1
-
sparsity_level
)
min_ms
*=
(
1
-
sparsity_level
)
max_ms
*=
(
1
-
sparsity_level
)
theoretical_results
.
append
((
sparsity_level
,
ms
,
min_ms
,
max_ms
))
return
ms
,
max_ms
,
min_ms
# gbps = lambda ms: 3 * x.numel() * x.element_size() / ms * 1e-6
# return gbps(ms), gbps(max_ms), gbps(min_ms)
print
(
"running..."
)
save_path
=
"./benchmark_results"
os
.
makedirs
(
save_path
,
exist_ok
=
True
)
# Run the benchmark
benchmark
.
run
(
print_data
=
True
,
show_plots
=
True
)
# Save results to CSV
import
pandas
as
pd
df
=
pd
.
DataFrame
({
'sparsity_level'
: [
r
[
0
]
for
r
in
zeal_results
],
'ZEAL'
: [
r
[
1
]
for
r
in
zeal_results
],
'ZEAL_min'
: [
r
[
2
]
for
r
in
zeal_results
],
'ZEAL_max'
: [
r
[
3
]
for
r
in
zeal_results
],
'Deja Vu'
: [
r
[
1
]
for
r
in
deja_vu_results
],
'Deja Vu_min'
: [
r
[
2
]
for
r
in
deja_vu_results
],
'Deja Vu_max'
: [
r
[
3
]
for
r
in
deja_vu_results
],
'Dense'
: [
r
[
1
]
for
r
in
dense_results
],
'Dense_min'
: [
r
[
2
]
for
r
in
dense_results
],
'Dense_max'
: [
r
[
3
]
for
r
in
dense_results
],
'Theoretical Optimal'
: [
r
[
1
]
for
r
in
theoretical_results
],
'Theoretical Optimal_min'
: [
r
[
2
]
for
r
in
theoretical_results
],
'Theoretical Optimal_max'
: [
r
[
3
]
for
r
in
theoretical_results
],
})
df
.
to_csv
(
f"
{
save_path
}
/Kernel Plot (A100) (4096x14336).csv"
,
index
=
False
)
print
(
f"Results saved to
{
save_path
}
/Kernel Plot (A100) (4096x14336).csv"
)
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