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paddlepaddle--paddle/test/legacy_test/test_einsum_v2.py
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2026-07-13 12:40:42 +08:00

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27 KiB
Python

# Copyright (c) 2021 PaddlePaddle Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
import os
import unittest
import numpy as np
from op_test import get_device_place, is_custom_device
import paddle
from paddle.base import core
os.environ['FLAGS_new_einsum'] = "1"
def error_trans(func, *args, **kargs):
"""
transport C++ exception into Python exception.
because einsum_v2 raise different exception with einsum_v1.
"""
try:
out = func(*args, **kargs)
except ValueError as e:
if "Same label have different shapes" in str(e):
raise AssertionError(
"Invalid operands: label i "
"corresponds to non-broadcastable dimensions."
)
class TestErrors(unittest.TestCase):
def setUp(self):
pass
def test_param_errors(self):
a = np.arange(4 * 3 * 4 * 4).reshape(4, 3, 4, 4).astype('float')
a = paddle.to_tensor(a)
with self.assertRaisesRegex(
AssertionError,
("Required at least one operand in Einsum API, but received 0"),
):
paddle.einsum('ijk')
with self.assertRaisesRegex(
AssertionError, ('Invalid equation: multiple `->` were found.')
):
paddle.einsum('i -> j -> k', a)
with self.assertRaisesRegex(
AssertionError,
(
"Invalid equation: the number of operands is 2, "
"but found 3 segments in the label equation."
),
):
paddle.einsum('i,j,k', a, a)
with self.assertRaisesRegex(
AssertionError,
(
"Invalid equation: the number of operands is 2, "
"but found 1 segments in the label equation."
),
):
paddle.einsum('ij -> k', a, a)
with self.assertRaisesRegex(
AssertionError,
(
"Invalid equation: the number of operands is 1, "
"but found 2 segments in the label equation."
),
):
paddle.einsum('i, -> k', a)
with self.assertRaisesRegex(
AssertionError,
("Invalid equation: the label string '' misses dimensions."),
):
paddle.einsum('->', a)
with self.assertRaisesRegex(
AssertionError,
("Invalid equation: the label string 'i' misses dimensions."),
):
paddle.einsum('i', a)
with self.assertRaisesRegex(
AssertionError,
(
"Invalid equation: _ is not a valid label, "
"which should be letters."
),
):
paddle.einsum('i_', a)
with self.assertRaisesRegex(
AssertionError,
("Invalid equation: `.` is found outside of an ellipsis."),
):
paddle.einsum('i..j', a)
with self.assertRaisesRegex(
AssertionError,
("Invalid equation: `.` is found outside of an ellipsis."),
):
paddle.einsum('...k...', a)
with self.assertRaisesRegex(
AssertionError,
("Invalid equation: missing ellipsis in output labels."),
):
paddle.einsum('i...->i', a)
with self.assertRaisesRegex(
AssertionError,
(
"Invalid operands: label i "
"corresponds to non-broadcastable dimensions."
),
):
error_trans(paddle.einsum, 'ij...,ji...', a, a)
class TestEinsum(unittest.TestCase):
@classmethod
def setUpClass(cls):
np.random.seed(12345)
cls.TEST_SAMPLES = {
"a": np.random.rand(1, 1),
"b": np.random.rand(1),
"x": np.random.rand(5),
"y": np.random.rand(7),
"A": np.random.rand(4, 5),
"B": np.random.rand(2, 5),
"C": np.random.rand(3, 7),
"D": np.random.rand(3, 4, 5),
"E": np.random.rand(3, 5, 2),
"F": np.random.rand(2, 4, 5, 3),
"G": np.random.rand(4, 2, 5),
"H": np.random.rand(3, 2, 4),
"I": np.random.rand(2, 2),
"J": np.random.rand(1, 3, 5),
"K": np.random.rand(1, 2, 3, 4),
"X": np.random.rand(5, 5),
"L": np.random.rand(5, 10, 5),
"M": np.random.rand(5, 3, 2, 1, 4, 5),
"N": np.random.rand(5, 5, 5),
"O": np.random.rand(3, 5, 7, 3),
"P": np.random.rand(5, 7, 5, 7),
"S": np.random.rand(4, 3, 4, 4),
"zero0": np.random.rand(0),
"zero1": np.random.rand(0, 5),
"zero2": np.random.rand(0, 4),
"zero3": np.random.rand(5, 0),
"zero4": np.random.rand(0, 0),
"zero5": np.random.rand(3, 0, 5),
"zero6": np.random.rand(3, 0, 3),
"zero7": np.random.rand(0, 4, 5),
"zero8": np.random.rand(0, 0, 0),
"zero9": np.random.rand(0, 5, 2),
"zero10": np.random.rand(3, 5, 7, 0),
"zero11": np.random.rand(0, 5, 4, 3),
}
def _get_place(self, force_to_use_cpu=False):
if force_to_use_cpu:
return core.CPUPlace()
else:
if core.is_compiled_with_cuda() or is_custom_device():
return get_device_place()
return core.CPUPlace()
def check_output_equal(self, actual, expect, rtol=1.0e-5, atol=1.0e-8):
error_msg = 'Output has diff at place:{}. \nExpect: {} \nBut Got: {} in class {}'
np.testing.assert_allclose(
actual,
expect,
rtol=rtol,
atol=atol,
err_msg=error_msg.format(
paddle.get_device(), expect, actual, self.__class__.__name__
),
)
def setUp(self):
self.sample = {"paradigm": "i->", "data": ["x"]}
def test_forward(self):
operands = [
TestEinsum.TEST_SAMPLES[operand] for operand in self.sample["data"]
]
expected_result = np.einsum(self.sample["paradigm"], *operands)
equation = self.sample["paradigm"]
with paddle.base.dygraph.guard(self._get_place(force_to_use_cpu=False)):
pd_operands = [paddle.to_tensor(operand) for operand in operands]
result = paddle.einsum(equation, *pd_operands)
self.check_output_equal(result.numpy(), expected_result)
with paddle.base.dygraph.guard(self._get_place(force_to_use_cpu=True)):
pd_operands = [paddle.to_tensor(operand) for operand in operands]
result = paddle.einsum(equation, *pd_operands)
self.check_output_equal(result.numpy(), expected_result)
class TestEinsumTraceDiag1(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ii->", "data": ["X"]}
class TestEinsumTraceDiag2(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "iji->j", "data": ["L"]}
class TestEinsumTraceDiag3(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "a...a->...", "data": ["M"]}
class TestEinsumTraceDiag4(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "a...a->a...", "data": ["M"]}
class TestEinsumTraceDiag5(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "aaa->a", "data": ["N"]}
# Numpy don't support i->ii, but paddle.einsum support.
# class TestEinsumTraceDiag6(TestEinsum):
# def setUp(self):
# self.sample = {"paradigm": "i->iii", "data": ["x"]}
# class TestEinsumTraceDiag7(TestEinsum):
# def setUp(self):
# self.sample = {"paradigm": "i...->i...i", "data": ["S"]}
class TestEinsumTraceDiag2Ops(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijki,jkjk->ik", "data": ["O", "P"]}
class TestEinsumIdentity(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "...->...", "data": ["N"]}
class TestEinsumElementwiseProduct(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "...,...->...", "data": ["N", "N"]}
class TestEinsumVectorOuter(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "i,j->ij", "data": ["x", "y"]}
class TestEinsumMatrixTranspose(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij->ji", "data": ["A"]}
class TestEinsumMatrixRowSum(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij->j", "data": ["A"]}
class TestEinsumMatrixColSum(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij->i", "data": ["A"]}
class TestEinsumMatrixEleMul(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,ij->ij", "data": ["A", "A"]}
class TestEinsumDegenerateMatrixVecMul(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,j", "data": ["a", "b"]}
class TestEinsumMatrixVecMul(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,j->i", "data": ["A", "x"]}
class TestEinsumMatrixMul(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,kj->ik", "data": ["A", "B"]}
class TestEinsumMatrixOuter(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,kl->ijkl", "data": ["A", "C"]}
class TestEinsumTensorBMM(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "bij,bjk->bik", "data": ["D", "E"]}
class TestEinsumTensorContract1(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijk,jk->i", "data": ["D", "A"]}
class TestEinsumTensorContract2(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijk,lk->ijl", "data": ["D", "B"]}
class TestEinsumTensorContract3(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "abcd,dfg->abcfg", "data": ["F", "D"]}
class TestEinsumTensorContract4(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijk,jk->ik", "data": ["D", "A"]}
class TestEinsumTensorContract5(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijk,jk->ij", "data": ["D", "A"]}
class TestEinsumTensorContract6(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ik, ijk->j", "data": ["A", "G"]}
class TestEinsumTensorContract7(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijk, ik->jk", "data": ["G", "A"]}
class TestEinsumEllipsis1(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "i...->...", "data": ["G"]}
class TestEinsumEllipsis2(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,...i->j...", "data": ["A", "H"]}
class TestEinsumEllipsis3(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "k...,jk", "data": ["F", "I"]}
class TestEinsumTestEinsumBilinear(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "bn,anm,bm->ba", "data": ["B", "E", "I"]}
class TestEinsumTestEinsumOthers1(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijkl, lmn->kmn", "data": ["F", "H"]}
class TestEinsumTestEinsumOthers2(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijkl, lmn->ijn", "data": ["F", "H"]}
class TestEinsumBatch1(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "blq,bhlk->bhlqk", "data": ["J", "K"]}
class TestEinsumTraceDiag1ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ii->", "data": ["zero4"]}
class TestEinsumTraceDiag2ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "iji->j", "data": ["zero6"]}
class TestEinsumTraceDiag3ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "a...a->...", "data": ["zero6"]}
class TestEinsumTraceDiag4ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "a...a->a...", "data": ["zero8"]}
class TestEinsumTraceDiag5ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "aaa->a", "data": ["zero8"]}
class TestEinsumIdentityZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "...->...", "data": ["zero0"]}
class TestEinsumElementwiseProductZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "..., ...->...", "data": ["zero0", "zero0"]}
class TestEinsumVectorOuterZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "i,j->ij", "data": ["zero0", "zero0"]}
class TestEinsumMatrixTransposeZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij->ji", "data": ["zero1"]}
class TestEinsumMatrixRowSumZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij->j", "data": ["zero1"]}
class TestEinsumMatrixColSumZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij->i", "data": ["zero3"]}
class TestEinsumMatrixEleMulZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,ij->ij", "data": ["zero1", "zero1"]}
class TestEinsumDegenerateMatrixVecMulZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,j", "data": ["zero3", "zero0"]}
class TestEinsumMatrixVecMulZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,j->i", "data": ["zero3", "zero0"]}
class TestEinsumMatrixMulZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,kj->ik", "data": ["zero1", "zero1"]}
class TestEinsumMatrixOuterZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,kl->ijkl", "data": ["zero1", "zero1"]}
class TestEinsumTensorBMMZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "bij,bjk->bik", "data": ["zero7", "zero9"]}
class TestEinsumTensorContract1ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijk,jk->i", "data": ["zero5", "zero1"]}
class TestEinsumTensorContract2ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijk,lk->ijl", "data": ["zero5", "zero1"]}
class TestEinsumTensorContract3ZeroSize(TestEinsum):
def setUp(self):
self.sample = {
"paradigm": "abcd,dfg->abcfg",
"data": ["zero10", "zero7"],
}
class TestEinsumTensorContract4ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijk,jk->ik", "data": ["zero5", "zero1"]}
class TestEinsumTensorContract5ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijk,jk->ij", "data": ["zero5", "zero1"]}
class TestEinsumTensorContract6ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ik, ijk->j", "data": ["zero1", "zero7"]}
class TestEinsumTensorContract7ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ijk, ik->jk", "data": ["zero7", "zero1"]}
class TestEinsumEllipsis1ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "i...->...", "data": ["zero5"]}
class TestEinsumEllipsis2ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "ij,...i->j...", "data": ["zero1", "zero10"]}
class TestEinsumEllipsis3ZeroSize(TestEinsum):
def setUp(self):
self.sample = {"paradigm": "k...,jk", "data": ["zero11", "zero3"]}
class TestEinsumBilinearZeroSize(TestEinsum):
def setUp(self):
self.sample = {
"paradigm": "bn,anm,bm->ba",
"data": ["zero2", "zero7", "zero1"],
}
class TestEinsumOthers1ZeroSize(TestEinsum):
def setUp(self):
self.sample = {
"paradigm": "ijkl, lmn->kmn",
"data": ["zero10", "zero7"],
}
class TestEinsumOthers2ZeroSize(TestEinsum):
def setUp(self):
self.sample = {
"paradigm": "ijkl, lmn->ijn",
"data": ["zero10", "zero7"],
}
class TestEinsumBatch1ZeroSize(TestEinsum):
def setUp(self):
self.sample = {
"paradigm": "blq,bhlk->bhlqk",
"data": ["zero7", "zero11"],
}
class TestNumpyTests(unittest.TestCase):
def setUp(self):
pass
def _get_place(self, force_to_use_cpu=False):
if force_to_use_cpu:
return core.CPUPlace()
else:
if core.is_compiled_with_cuda() or is_custom_device():
return get_device_place()
return core.CPUPlace()
def check_output_equal(self, actual, expect, rtol=1.0e-5, atol=1.0e-8):
error_msg = 'Output has diff at place:{}. \nExpect: {} \nBut Got: {} in class {}'
np.testing.assert_allclose(
actual,
expect,
rtol=rtol,
atol=atol,
err_msg=error_msg.format(
self._get_place(False), expect, actual, self.__class__.__name__
),
)
def check_output(self, eqn, *ops):
expect = np.einsum(eqn, *ops)
with paddle.base.dygraph.guard(self._get_place(force_to_use_cpu=False)):
pd_operands = [paddle.to_tensor(op) for op in ops]
actual = paddle.einsum(eqn, *pd_operands)
self.check_output_equal(actual.numpy(), expect)
def test_sums(self):
for n in range(0, 17):
a = np.arange(n).astype('float')
self.check_output("i->", a)
for n in range(0, 17):
a = np.arange(2 * 3 * n).reshape(2, 3, n).astype('float')
self.check_output("...i->...", a)
for n in range(0, 17):
a = np.arange(2 * n).reshape(2, n).astype('float')
self.check_output("i...->...", a)
for n in range(0, 17):
a = np.arange(2 * 3 * n).reshape(2, 3, n).astype('float')
self.check_output("i...->...", a)
for n in range(0, 17):
a = np.arange(3 * n).reshape(3, n).astype('float')
b = np.arange(2 * 3 * n).reshape(2, 3, n).astype('float')
self.check_output("..., ...", a, b)
for n in range(0, 17):
a = np.arange(2 * 3 * n).reshape(2, 3, n).astype('float')
b = np.arange(n).astype('float')
self.check_output("...i, ...i", a, b)
for n in range(0, 11):
a = np.arange(n * 3 * 2).reshape(n, 3, 2).astype('float')
b = np.arange(n).astype('float')
self.check_output("i..., i...", a, b)
for n in range(0, 17):
a = (np.arange(3) + 1).astype('float')
b = (np.arange(n) + 1).astype('float')
self.check_output("i,j", a, b)
for n in range(0, 17):
a = np.arange(4 * n).reshape(4, n).astype('float')
b = np.arange(n).astype('float')
self.check_output("ij, j", a, b)
for n in range(0, 17):
a = np.arange(4 * n).reshape(4, n).astype('float')
b = np.arange(n).astype('float')
self.check_output("ji,j", a.T, b.T)
for n in range(0, 17):
a = np.arange(4 * n).reshape(4, n).astype('float')
b = np.arange(n * 6).reshape(n, 6).astype('float')
self.check_output("ij,jk", a, b)
a = np.arange(12).reshape(3, 4).astype('float')
b = np.arange(20).reshape(4, 5).astype('float')
c = np.arange(30).reshape(5, 6).astype('float')
self.check_output("ij,jk,kl", a, b, c)
a = np.arange(60).reshape(3, 4, 5).astype('float')
b = np.arange(24).reshape(4, 3, 2).astype('float')
self.check_output("ijk, jil -> kl", a, b)
for n in range(0, 25):
a = np.arange(n).astype('float')
self.check_output("...,...", a, a)
self.check_output("i,i", a, a)
x = np.eye(2).astype('float')
y = np.ones(2).astype('float')
self.check_output("ji,i->", x, y)
self.check_output("i,ij->", y, x)
self.check_output("ij,i->", x, y)
def test_static_graph(self):
paddle.enable_static()
base = paddle.base
if base.core.is_compiled_with_cuda() or is_custom_device():
self.place = get_device_place()
else:
self.place = base.CPUPlace()
main = base.Program()
startup = base.Program()
with base.program_guard(main, startup):
a = paddle.static.data(
name='a', shape=[3, None, None, None], dtype='float'
)
b = paddle.static.data(
name='b', shape=[2, None, None, None], dtype='float'
)
c = paddle.static.data(
name='c', shape=[None, None, 2, None], dtype='float'
)
d = paddle.static.data(
name='d', shape=[None, None, 5], dtype='float'
)
e = paddle.static.data(
name='e', shape=[None, 2, None], dtype='float'
)
outs = []
outs.append(paddle.einsum("ibnd,jbnd->bnij", a, b))
outs.append(paddle.einsum('...ik, ...j', c, d))
outs.append(paddle.einsum('...kj, ...ik', d, e))
outs.append(paddle.einsum('ijk..., ikj', c, e))
outs.append(paddle.einsum('ijk..., ikj->...ij', c, e))
exe = base.Executor(self.place)
exe.run(startup)
a = np.arange(72).reshape(3, 2, 3, 4).astype('float')
b = np.arange(48).reshape(2, 2, 3, 4).astype('float')
c = np.arange(48).reshape(2, 3, 2, 4).astype('float')
d = np.arange(30).reshape(2, 3, 5).astype('float')
e = np.arange(12).reshape(2, 2, 3).astype('float')
feeds = {'a': a, 'b': b, 'c': c, 'd': d, 'e': e}
actual = exe.run(main, feed=feeds, fetch_list=[outs])
expect = []
expect.append(np.einsum("ibnd,jbnd->bnij", a, b))
expect.append(np.einsum('...ik, ...j', c, d))
expect.append(np.einsum('...kj, ...ik', d, e))
expect.append(np.einsum('ijk..., ikj', c, e))
expect.append(np.einsum('ijk..., ikj->...ij', c, e))
for a, e in zip(actual, expect):
self.check_output_equal(a, e)
class TestStaticGraphShape(unittest.TestCase):
def setUp(self):
paddle.enable_static()
def tearDown(self):
paddle.disable_static()
def test_shape(self):
A = paddle.static.data(name='x', shape=[-1])
B = paddle.static.data(name='y', shape=[384])
C = paddle.einsum('i,d->id', A, B)
self.assertEqual(tuple(C.shape), (-1, 384))
@unittest.skipIf(
not (core.is_compiled_with_cuda() or is_custom_device())
or not core.is_bfloat16_supported(get_device_place()),
"core is not compiled with CUDA or not support the bfloat16",
)
class TestBF16(unittest.TestCase):
"""
EinsumOp support bfloat16 type, add unittest here for the correctness.
"""
def test_shape(self):
if core.is_compiled_with_cuda():
cuda_major = paddle.version.cuda().split('.')[0].strip()
if int(cuda_major) >= 11:
"""MatmulKernel support bfloat16 only if cuda_major > 11.0."""
A = paddle.to_tensor(np.array([1.0, 2.0])).astype(
paddle.bfloat16
)
A = A.cuda()
B = paddle.to_tensor(np.array([2.0, 3.0])).astype(
paddle.bfloat16
)
B = B.cuda()
C = paddle.einsum('i,i->', A, B)
D = paddle.to_tensor([8.0]).astype(paddle.bfloat16)
self.assertEqual(C.item(), D.item())
elif is_custom_device():
""" Custom device support bfloat16 """
if core.is_bfloat16_supported(get_device_place()):
A = paddle.to_tensor(np.array([1.0, 2.0])).astype(
paddle.bfloat16
)
B = paddle.to_tensor(np.array([2.0, 3.0])).astype(
paddle.bfloat16
)
C = paddle.einsum('i,i->', A, B)
D = paddle.to_tensor([8.0]).astype(paddle.bfloat16)
self.assertEqual(C.item(), D.item())
class TestComplex(unittest.TestCase):
"""
EinsumOp support Complex type
"""
def test_shape(self):
a = paddle.rand([4, 4])
b = paddle.rand([4, 4])
c = paddle.einsum('xy,yz->xz', a, b)
a = paddle.cast(a, 'complex64')
b = paddle.cast(b, 'complex64')
c = paddle.einsum('xy,yz->xz', a, b)
class TestSimpleUndiagonal(unittest.TestCase):
"""
EinsumOp support undiagonalize.
"""
def test_shape(self):
paddle.disable_static()
A = paddle.to_tensor(np.array([1.0, 2.0]))
A_expect = paddle.to_tensor([[1.0, 0.0], [0.0, 2.0]])
A_actual = paddle.einsum('i->ii', A)
np.testing.assert_array_equal(A_expect.numpy(), A_actual.numpy())
class TestSimpleUndiagonal2(unittest.TestCase):
"""
EinsumOp support undiagonalize.
"""
def test_shape(self):
paddle.disable_static()
A = paddle.to_tensor(np.array([1.0, 2.0]))
B = paddle.to_tensor(np.array([1.0, 1.0]))
A_expect = paddle.to_tensor([[2.0, 0.0], [0.0, 4.0]])
A_actual = paddle.einsum('i,j->ii', A, B)
np.testing.assert_array_equal(A_expect.numpy(), A_actual.numpy())
class TestSimpleComplexGrad(unittest.TestCase):
"""
EinsumOp support complex grad. but op_test don't support numeric grad for complex dtype.
"""
def test_shape(self):
paddle.disable_static()
A = paddle.to_tensor(
[
[
[-1.08644637 + 1.30794563j],
[-0.89606513 + 1.84546043j],
[-0.30629937 + 0.82911495j],
],
[
[-1.33993366 - 0.02329881j],
[-1.20658558 - 0.20856395j],
[-0.64172681 - 0.91661975j],
],
]
)
B = paddle.to_tensor(
[
[[-1.07474258 + 0.39477287j], [-0.08614349 - 0.38770082j]],
[[1.17583854 + 0.58840176j], [-1.63509173 - 1.43329882j]],
[[1.228194 - 0.32357468j], [1.07638625 + 1.25298469j]],
]
)
dOut = paddle.to_tensor(
[
[[-0.73074259 - 0.1632133j], [1.42848507 - 0.96410727j]],
[[0.94465389 - 0.34264733j], [-0.26400278 + 0.04890404j]],
]
)
d_expect = paddle.to_tensor(
[
[
[0.971658 + 1.100766j],
[-1.909121 + 3.861908j],
[-0.515092 - 3.264529j],
],
[
[-1.146746 - 0.111233j],
[1.270721 - 1.417091j],
[1.048197 + 0.268260j],
],
]
)
A.stop_gradient = False
B.stop_gradient = False
Out = paddle.einsum('iox,ojx->ijx', A, B)
dA = paddle.grad(Out, A, dOut)[0]
np.testing.assert_allclose(
dA.numpy(), d_expect.numpy(), rtol=1e-6, atol=0
)
if __name__ == "__main__":
unittest.main()