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gemv_transposed_fpga.py
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gemv_transposed_fpga.py
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#!/usr/bin/env python
from __future__ import print_function
import argparse
import dace
import numpy as np
import select
import sys
N = dace.symbol("N")
M = dace.symbol("M")
dtype = dace.float64
# This implementation of transposed DGEMV assumes that the two vectors (x and y) fit into
# FPGA fast memory
def make_init_state(sdfg):
state = sdfg.add_state("init")
a_host = state.add_array("A", (M, N), dtype)
a_device = state.add_array("A_device", (M, N),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Global)
x_host = state.add_array("x", (M, ), dtype)
x_device = state.add_array("x_device", (M, ),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Global)
y_host = state.add_array("y", (M, ), dtype)
y_device = state.add_array("y_device", (N, ),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Global)
state.add_memlet_path(a_host,
a_device,
memlet=dace.memlet.Memlet.simple(
a_device, "0:N, 0:M"))
state.add_memlet_path(x_host,
x_device,
memlet=dace.memlet.Memlet.simple(x_device, "0:M"))
state.add_memlet_path(y_host,
y_device,
memlet=dace.memlet.Memlet.simple(y_device, "0:N"))
return state
def make_finalize_state(sdfg):
state = sdfg.add_state("finalize")
y_host = state.add_array("y", (M, ), dtype)
y_device = state.add_array("y_device", (N, ),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Global)
state.add_memlet_path(y_device,
y_host,
memlet=dace.memlet.Memlet.simple(y_host, "0:N"))
return state
def make_load_state(sdfg):
state = sdfg.add_state("load")
y = state.add_array("y_nested", (N, ),
dtype,
storage=dace.dtypes.StorageType.FPGA_Global)
y_buffer = state.add_array("y_buffer", (N, ),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Local)
state.add_memlet_path(y,
y_buffer,
memlet=dace.memlet.Memlet.simple(y_buffer, "0:N"))
return state
def make_store_state(sdfg):
state = sdfg.add_state("store")
y_buffer = state.add_array("y_buffer", (N, ),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Local)
y = state.add_array("y_nested", (N, ),
dtype,
storage=dace.dtypes.StorageType.FPGA_Global)
state.add_memlet_path(y_buffer,
y,
memlet=dace.memlet.Memlet.simple(y, "0:N"))
return state
def make_compute_state(sdfg):
state = sdfg.add_state("compute")
a = state.add_array("A_nested", (M, N),
dtype,
storage=dace.dtypes.StorageType.FPGA_Global)
x = state.add_array("x_nested", (M, ),
dtype,
storage=dace.dtypes.StorageType.FPGA_Global)
y_buffer = state.add_array("y_buffer", (N, ),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Local)
cols_entry, cols_exit = state.add_map("cols", {"m": "0:M"},
schedule=dace.ScheduleType.Sequential)
rows_entry, rows_exit = state.add_map("rows", {"n": "0:N"})
tasklet = state.add_tasklet("update", {"a", "x_in"}, {"update"},
"update = a * x_in")
wcr_memlet = dace.memlet.Memlet.simple(y_buffer,
"n",
wcr_str="lambda a, b: a + b")
state.add_memlet_path(a,
cols_entry,
rows_entry,
tasklet,
dst_conn="a",
memlet=dace.memlet.Memlet.simple(a, "m, n"))
state.add_memlet_path(x,
cols_entry,
rows_entry,
tasklet,
dst_conn="x_in",
memlet=dace.memlet.Memlet.simple(x, "m"))
state.add_memlet_path(tasklet,
rows_exit,
cols_exit,
y_buffer,
src_conn="update",
memlet=wcr_memlet)
return state
def make_outer_compute_state(sdfg):
state = sdfg.add_state("gemv_transposed")
nested_sdfg = dace.SDFG("gemv_transposed")
load_state = make_load_state(nested_sdfg)
compute_state = make_compute_state(nested_sdfg)
store_state = make_store_state(nested_sdfg)
nested_sdfg.add_edge(load_state, compute_state, dace.sdfg.InterstateEdge())
nested_sdfg.add_edge(compute_state, store_state, dace.sdfg.InterstateEdge())
tasklet = state.add_nested_sdfg(nested_sdfg, sdfg,
{"A_nested", "x_nested", "y_nested"},
{"y_nested"})
a_device = state.add_array("A_device", (M, N),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Global)
x_device = state.add_array("x_device", (M, ),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Global)
y_device_r = state.add_array("y_device", (N, ),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Global)
y_device_w = state.add_array("y_device", (N, ),
dtype,
transient=True,
storage=dace.dtypes.StorageType.FPGA_Global)
state.add_memlet_path(a_device,
tasklet,
dst_conn="A_nested",
memlet=dace.memlet.Memlet.simple(
a_device, "0:M, 0:N"))
state.add_memlet_path(x_device,
tasklet,
dst_conn="x_nested",
memlet=dace.memlet.Memlet.simple(x_device, "0:M"))
state.add_memlet_path(y_device_r,
tasklet,
dst_conn="y_nested",
memlet=dace.memlet.Memlet.simple(y_device_r, "0:N"))
state.add_memlet_path(tasklet,
y_device_w,
src_conn="y_nested",
memlet=dace.memlet.Memlet.simple(y_device_w, "0:N"))
return state
def make_sdfg(specialize):
if specialize:
name = "gemv_transposed_{}x{}".format(N.get(), M.get())
else:
name = "gemv_transposed_{}xM".format(N.get())
sdfg = dace.SDFG(name)
init_state = make_init_state(sdfg)
fpga_state = make_outer_compute_state(sdfg)
finalize_state = make_finalize_state(sdfg)
sdfg.add_edge(init_state, fpga_state, dace.sdfg.InterstateEdge())
sdfg.add_edge(fpga_state, finalize_state, dace.sdfg.InterstateEdge())
return sdfg
if __name__ == "__main__":
print("==== Program start ====")
parser = argparse.ArgumentParser()
parser.add_argument("N", type=int)
parser.add_argument("M", type=int)
parser.add_argument("-specialize",
default=False,
action="store_true",
help="Also fix M in hardware")
args = vars(parser.parse_args())
N.set(args["N"])
if args["specialize"]:
print("Specializing M...")
M.set(args["M"])
gemv = make_sdfg(args["specialize"])
gemv.specialize(dict(N=N))
if not args["specialize"]:
M.set(args["M"])
else:
gemv.specialize(dict(M=M))
print("Running GEMV {}x{} ({}specialized)".format(
N.get(), M.get(), ("" if args["specialize"] else "not ")))
A = dace.ndarray([M, N], dtype=dtype)
x = dace.ndarray([M], dtype=dtype)
y = dace.ndarray([N], dtype=dtype)
# Intialize: randomize A, x and y
# A[:, :] = np.random.rand(M.get(), N.get()).astype(dtype.type)
# x[:] = np.random.rand(M.get()).astype(dtype.type)
# y[:] = np.random.rand(N.get()).astype(dtype.type)
A[:, :] = 1
x[:] = 1
y[:] = 0
# Regression
regression = np.matmul(np.transpose(A), x) + y
#############################################
# Run DaCe program
if args["specialize"]:
gemv(A=A, x=x, y=x)
else:
gemv(A=A, M=M, x=x, y=y)
residual = np.linalg.norm(y - regression) / (N.get() * M.get())
print("Residual:", residual)
diff = np.abs(y - regression)
wrong_elements = np.transpose(np.nonzero(diff >= 0.01))
highest_diff = np.max(diff)
print("==== Program end ====")
if residual >= 0.01 or highest_diff >= 0.01:
print("Verification failed!")
print("Residual: {}".format(residual))
print("Incorrect elements: {} / {}".format(wrong_elements.shape[0],
(N.get() * M.get())))
print("Highest difference: {}".format(highest_diff))
print("** Result:\n", y)
print("** Reference:\n", regression)
print("Type \"debug\" to enter debugger, "
"or any other string to quit (timeout in 10 seconds)")
read, _, _ = select.select([sys.stdin], [], [], 10)
if len(read) > 0 and sys.stdin.readline().strip().lower() == "debug":
print("Entering debugger...")
import pdb
pdb.set_trace()
else:
print("Exiting...")
exit(1)
exit(0)