test_vectorization.py 7.13 KiB
import numpy as np
import sympy as sp
import pystencils as ps
from pystencils.backends.simd_instruction_sets import get_supported_instruction_sets
from pystencils.cpu.vectorization import vectorize
from pystencils.fast_approximation import insert_fast_sqrts, insert_fast_divisions
from pystencils.transformations import replace_inner_stride_with_one
supported_instruction_sets = get_supported_instruction_sets()
if supported_instruction_sets:
instruction_set = supported_instruction_sets[-1]
else:
instruction_set = None
def test_vector_type_propagation():
a, b, c, d, e = sp.symbols("a b c d e")
arr = np.ones((2 ** 2 + 2, 2 ** 3 + 2))
arr *= 10.0
f, g = ps.fields(f=arr, g=arr)
update_rule = [ps.Assignment(a, f[1, 0]),
ps.Assignment(b, a),
ps.Assignment(g[0, 0], b + 3 + f[0, 1])]
ast = ps.create_kernel(update_rule)
vectorize(ast, instruction_set=instruction_set)
func = ast.compile()
dst = np.zeros_like(arr)
func(g=dst, f=arr)
np.testing.assert_equal(dst[1:-1, 1:-1], 2 * 10.0 + 3)
def test_inplace_update():
shape = (9, 9, 3)
arr = np.ones(shape, order='f')
@ps.kernel
def update_rule(s):
f = ps.fields("f(3) : [2D]", f=arr)
s.tmp0 @= f(0)
s.tmp1 @= f(1)
s.tmp2 @= f(2)
f0, f1, f2 = f(0), f(1), f(2)
f0 @= 2 * s.tmp0
f1 @= 2 * s.tmp0
f2 @= 2 * s.tmp0
ast = ps.create_kernel(update_rule, cpu_vectorize_info={'instruction_set': instruction_set})
kernel = ast.compile()
kernel(f=arr)
np.testing.assert_equal(arr, 2)
def test_vectorization_fixed_size():
configurations = []
# Fixed size - multiple of four
arr = np.ones((20 + 2, 24 + 2)) * 5.0
f, g = ps.fields(f=arr, g=arr)
configurations.append((arr, f, g))
# Fixed size - no multiple of four
arr = np.ones((21 + 2, 25 + 2)) * 5.0
f, g = ps.fields(f=arr, g=arr)
configurations.append((arr, f, g))
# Fixed size - different remainder
arr = np.ones((23 + 2, 17 + 2)) * 5.0
f, g = ps.fields(f=arr, g=arr)
configurations.append((arr, f, g))
for arr, f, g in configurations:
update_rule = [ps.Assignment(g[0, 0], f[0, 0] + f[-1, 0] + f[1, 0] + f[0, 1] + f[0, -1] + 42.0)]
ast = ps.create_kernel(update_rule)
vectorize(ast, instruction_set=instruction_set)
func = ast.compile()
dst = np.zeros_like(arr)
func(g=dst, f=arr)
np.testing.assert_equal(dst[1:-1, 1:-1], 5 * 5.0 + 42.0)
def test_vectorization_variable_size():
f, g = ps.fields("f, g : double[2D]")
update_rule = [ps.Assignment(g[0, 0], f[0, 0] + f[-1, 0] + f[1, 0] + f[0, 1] + f[0, -1] + 42.0)]
ast = ps.create_kernel(update_rule)
replace_inner_stride_with_one(ast)
vectorize(ast, instruction_set=instruction_set)
func = ast.compile()
arr = np.ones((23 + 2, 17 + 2)) * 5.0
dst = np.zeros_like(arr)
func(g=dst, f=arr)
np.testing.assert_equal(dst[1:-1, 1:-1], 5 * 5.0 + 42.0)
def test_piecewise1():
a, b, c, d, e = sp.symbols("a b c d e")
arr = np.ones((2 ** 3 + 2, 2 ** 4 + 2)) * 5.0
f, g = ps.fields(f=arr, g=arr)
update_rule = [ps.Assignment(a, f[1, 0]),
ps.Assignment(b, a),
ps.Assignment(c, f[0, 0] > 0.0),
ps.Assignment(g[0, 0], sp.Piecewise((b + 3 + f[0, 1], c), (0.0, True)))]
ast = ps.create_kernel(update_rule)
vectorize(ast, instruction_set=instruction_set)
func = ast.compile()
dst = np.zeros_like(arr)
func(g=dst, f=arr)
np.testing.assert_equal(dst[1:-1, 1:-1], 5 + 3 + 5.0)
def test_piecewise2():
arr = np.zeros((20, 20))
@ps.kernel
def test_kernel(s):
f, g = ps.fields(f=arr, g=arr)
s.condition @= f[0, 0] > 1
s.result @= 0.0 if s.condition else 1.0
g[0, 0] @= s.result
ast = ps.create_kernel(test_kernel)
vectorize(ast, instruction_set=instruction_set)
func = ast.compile()
func(f=arr, g=arr)
np.testing.assert_equal(arr, np.ones_like(arr))
def test_piecewise3():
arr = np.zeros((22, 22))
@ps.kernel
def test_kernel(s):
f, g = ps.fields(f=arr, g=arr)
s.b @= f[0, 1]
g[0, 0] @= 1.0 / (s.b + s.k) if f[0, 0] > 0.0 else 1.0
ast = ps.create_kernel(test_kernel)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
def test_logical_operators():
arr = np.zeros((22, 22))
@ps.kernel
def kernel_and(s):
f, g = ps.fields(f=arr, g=arr)
s.c @= sp.And(f[0, 1] < 0.0, f[1, 0] < 0.0)
g[0, 0] @= sp.Piecewise([1.0 / f[1, 0], s.c], [1.0, True])
ast = ps.create_kernel(kernel_and)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
@ps.kernel
def kernel_or(s):
f, g = ps.fields(f=arr, g=arr)
s.c @= sp.Or(f[0, 1] < 0.0, f[1, 0] < 0.0)
g[0, 0] @= sp.Piecewise([1.0 / f[1, 0], s.c], [1.0, True])
ast = ps.create_kernel(kernel_or)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
@ps.kernel
def kernel_equal(s):
f, g = ps.fields(f=arr, g=arr)
s.c @= sp.Eq(f[0, 1], 2.0)
g[0, 0] @= sp.Piecewise([1.0 / f[1, 0], s.c], [1.0, True])
ast = ps.create_kernel(kernel_equal)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
def test_hardware_query():
instruction_sets = get_supported_instruction_sets()
assert 'sse' in instruction_sets
def test_vectorised_pow():
arr = np.zeros((24, 24))
f, g = ps.fields(f=arr, g=arr)
as1 = ps.Assignment(g[0, 0], sp.Pow(f[0, 0], 2))
as2 = ps.Assignment(g[0, 0], sp.Pow(f[0, 0], 0.5))
as3 = ps.Assignment(g[0, 0], sp.Pow(f[0, 0], -0.5))
as4 = ps.Assignment(g[0, 0], sp.Pow(f[0, 0], 4))
as5 = ps.Assignment(g[0, 0], sp.Pow(f[0, 0], -4))
as6 = ps.Assignment(g[0, 0], sp.Pow(f[0, 0], -1))
ast = ps.create_kernel(as1)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
ast = ps.create_kernel(as2)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
ast = ps.create_kernel(as3)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
ast = ps.create_kernel(as4)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
ast = ps.create_kernel(as5)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
ast = ps.create_kernel(as6)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
def test_vectorised_fast_approximations():
arr = np.zeros((24, 24))
f, g = ps.fields(f=arr, g=arr)
expr = sp.sqrt(f[0, 0] + f[1, 0])
assignment = ps.Assignment(g[0, 0], insert_fast_sqrts(expr))
ast = ps.create_kernel(assignment)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
expr = f[0, 0] / f[1, 0]
assignment = ps.Assignment(g[0, 0], insert_fast_divisions(expr))
ast = ps.create_kernel(assignment)
vectorize(ast, instruction_set=instruction_set)
ast.compile()
assignment = ps.Assignment(sp.Symbol("tmp"), 3 / sp.sqrt(f[0, 0] + f[1, 0]))
ast = ps.create_kernel(insert_fast_sqrts(assignment))
vectorize(ast, instruction_set=instruction_set)
ast.compile()