# coding=utf-8 # Copyright 2019 The Interval Bound Propagation Authors. # # 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. """Tests for symbolic bounds.""" from __future__ import absolute_import from __future__ import division from __future__ import print_function from absl.testing import parameterized import interval_bound_propagation as ibp import numpy as np import sonnet as snt import tensorflow.compat.v1 as tf class SymbolicBoundsTest(parameterized.TestCase, tf.test.TestCase): def testConvertSymbolicBounds(self): z = tf.constant([[1, 2, 3, 4]], dtype=tf.float32) z = tf.reshape(z, [1, 2, 2]) b = ibp.SymbolicBounds.convert(z) for l in (b.lower, b.upper): self.assertEqual([1, 4, 2, 2], l.w.shape.as_list()) self.assertEqual([1, 2, 2], l.b.shape.as_list()) self.assertEqual([1, 4], l.lower.shape.as_list()) self.assertEqual([1, 4], l.upper.shape.as_list()) def testFCSymbolicBounds(self): m = snt.Linear(1, initializers={ 'w': tf.constant_initializer(1.), 'b': tf.constant_initializer(2.), }) z = tf.constant([[1, 2, 3]], dtype=tf.float32) m(z) # Connect to create weights. m = ibp.LinearFCWrapper(m) input_bounds = ibp.IntervalBounds(z - 1., z + 1.) input_bounds = ibp.SymbolicBounds.convert(input_bounds) output_bounds = m.propagate_bounds(input_bounds) concrete_bounds = ibp.IntervalBounds.convert(output_bounds) with self.test_session() as sess: sess.run(tf.global_variables_initializer()) l, u, cl, cu = sess.run([output_bounds.lower, output_bounds.upper, concrete_bounds.lower, concrete_bounds.upper]) self.assertTrue(np.all(l.w == 1.)) self.assertTrue(np.all(l.b == 2.)) self.assertAlmostEqual([[0, 1, 2]], l.lower.tolist()) self.assertAlmostEqual([[2, 3, 4]], l.upper.tolist()) self.assertTrue(np.all(u.w == 1.)) self.assertTrue(np.all(u.b == 2.)) self.assertAlmostEqual([[0, 1, 2]], u.lower.tolist()) self.assertAlmostEqual([[2, 3, 4]], u.upper.tolist()) cl = cl.item() cu = cu.item() self.assertAlmostEqual(5., cl) self.assertAlmostEqual(11., cu) def testConv2dSymbolicBounds(self): m = snt.Conv2D( output_channels=1, kernel_shape=(2, 2), padding='VALID', stride=1, use_bias=True, initializers={ 'w': tf.constant_initializer(1.), 'b': tf.constant_initializer(2.), }) z = tf.constant([1, 2, 3, 4], dtype=tf.float32) z = tf.reshape(z, [1, 2, 2, 1]) m(z) # Connect to create weights. m = ibp.LinearConv2dWrapper(m) input_bounds = ibp.IntervalBounds(z - 1., z + 1.) input_bounds = ibp.SymbolicBounds.convert(input_bounds) output_bounds = m.propagate_bounds(input_bounds) output_bounds = ibp.IntervalBounds.convert(output_bounds) with self.test_session() as sess: sess.run(tf.global_variables_initializer()) l, u = sess.run([output_bounds.lower, output_bounds.upper]) l = l.item() u = u.item() self.assertAlmostEqual(8., l) self.assertAlmostEqual(16., u) def testConv1dSymbolicBounds(self): m = snt.Conv1D( output_channels=1, kernel_shape=(2), padding='VALID', stride=1, use_bias=True, initializers={ 'w': tf.constant_initializer(1.), 'b': tf.constant_initializer(3.), }) z = tf.constant([3, 4], dtype=tf.float32) z = tf.reshape(z, [1, 2, 1]) m(z) # Connect to create weights. m = ibp.LinearConv1dWrapper(m) input_bounds = ibp.IntervalBounds(z - 1., z + 1.) input_bounds = ibp.SymbolicBounds.convert(input_bounds) output_bounds = m.propagate_bounds(input_bounds) output_bounds = ibp.IntervalBounds.convert(output_bounds) with self.test_session() as sess: sess.run(tf.global_variables_initializer()) l, u = sess.run([output_bounds.lower, output_bounds.upper]) l = l.item() u = u.item() self.assertAlmostEqual(8., l) self.assertAlmostEqual(12., u) def testReluSymbolicBounds(self): m = tf.nn.relu z = tf.constant([[-2, 3]], dtype=tf.float32) m = ibp.IncreasingMonotonicWrapper(m) input_bounds = ibp.IntervalBounds(z - 1., z + 1.) input_bounds = ibp.SymbolicBounds.convert(input_bounds) output_bounds = m.propagate_bounds(input_bounds) output_bounds = ibp.IntervalBounds.convert(output_bounds) with self.test_session() as sess: l, u = sess.run([output_bounds.lower, output_bounds.upper]) self.assertAlmostEqual([[0., 2.]], l.tolist()) self.assertAlmostEqual([[0., 4.]], u.tolist()) if __name__ == '__main__': tf.test.main()