| // |
| // Copyright 2020 Google LLC |
| // |
| // 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. |
| // |
| |
| package com.google.privacy.differentialprivacy; |
| |
| import static com.google.common.truth.Truth.assertWithMessage; |
| import static java.lang.Math.max; |
| import static org.junit.Assert.assertThrows; |
| |
| import org.junit.Test; |
| import org.junit.runner.RunWith; |
| import org.junit.runners.JUnit4; |
| |
| @RunWith(JUnit4.class) |
| public class LaplaceNoiseConfidenceIntervalTest { |
| private static final Noise NOISE = new LaplaceNoise(); |
| private static final double TOLERANCE = 1E-7; |
| private static final double DEFAULT_NOISED_X = 0.0; |
| private static final int DEFAULT_L_0_SENSITIVITY = 1; |
| private static final double DEFAULT_L_INF_SENSITIVITY = 1.0; |
| private static final double DEFAULT_EPSILON = Math.log(3); |
| private static final Double DEFAULT_DELTA = null; |
| private static final double DEFAULT_ALPHA = 0.1; |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_arbitraryTest() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| /* noisedX= */ 83.0, |
| /* l0Sensitivity= */ 3, |
| /* lInfSensitivity= */ 2.0, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 0.24); |
| ConfidenceInterval expected = ConfidenceInterval.create(75.205896, 90.794104); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_defaultParameters() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(-2.0959033, 2.0959033); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_largePositiveNoisedX() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| /* noisedX= */ 958655.4745, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(958653.38, 958657.57); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_largeNegativeNoisedX() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| /* noisedX= */ -958655.4745, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(-958657.57, -958653.38); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_positiveNoisedX() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| /* noisedX= */ 1.5865547456, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(-0.50934853, 3.6824580); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_negativeNoisedX() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| /* noisedX= */ -1.5865547456, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(-3.6824580, 0.50934853); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_smallAlpha() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 7.856382354E-10); |
| ConfidenceInterval expected = ConfidenceInterval.create(-19.082733, 19.082733); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_largeAlpha() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 1 - 3.548957438E-10); |
| ConfidenceInterval expected = ConfidenceInterval.create(-3.2304006E-10, 3.2304006E-10); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_smallEpsilon() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| /* epsilon= */ 1.567321563235E-10, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(-1.4691210E10, 1.4691210E10); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_largeEpsilon() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| /* epsilon= */ 1.567321563235E10, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(-1.4691210E-10, 1.4691210E-10); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_zeroL0Sensitivity_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| /* l0Sensitivity= */ 0, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_negativeL0Sensitivity_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| /* l0Sensitivity= */ -1, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_zeroLInfSensitivity_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| /* lInfSensitivity= */ 0, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_negativeLInfSensitivity_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| /* lInfSensitivity= */ -1, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_infiniteLInfSensitivity_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| /* lInfSensitivity= */ Double.POSITIVE_INFINITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_lInfSensitivityNan_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| /* lInfSensitivity= */ Double.NaN, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_tooSmallEpsilon_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| /* epsilon= */ 1.0 / (1L << 51), |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_infiniteEpsilon_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| /* epsilon= */ Double.POSITIVE_INFINITY, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_epsilonNan_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| /* epsilon= */ Double.NaN, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_nonNullDelta_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| /* delta= */ 1.0, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_zeroAlpha_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 0)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_negativeAlpha_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ -1)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_alphaEqualToOne_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 1)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_alphaGreaterThanOne_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 2)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forDouble_alphaNan_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ Double.NaN)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_arbitraryTest() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| /* noisedX= */ 83L, |
| /* l0Sensitivity= */ 3, |
| /* lInfSensitivity= */ 2L, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 0.24); |
| ConfidenceInterval expected = ConfidenceInterval.create(75.0, 91.0); |
| verifyEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_defaultParameters() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(-2.0, 2.0); |
| verifyApproxEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_largePositiveNoisedX() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| // Distance to neighbouring doubles is greater than half the size of the confidence |
| // interval. |
| /* noisedX= */ (1L << 58), |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = |
| ConfidenceInterval.create( |
| Math.nextDown(Math.pow(2.0, 58.0)), Math.nextUp(Math.pow(2.0, 58.0))); |
| verifyEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_largeNegativeNoisedX() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| // Distance to neighbouring doubles is greater than half the size of the confidence |
| // interval. |
| /* noisedX= */ -(1L << 58), |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = |
| ConfidenceInterval.create( |
| Math.nextDown(-Math.pow(2.0, 58.0)), Math.nextUp(-Math.pow(2.0, 58.0))); |
| verifyEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_positiveNoisedX() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| /* noisedX= */ 10, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(8.0, 12.0); |
| verifyEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_negativeNoisedX() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| /* noisedX= */ -10, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(-12.0, -8.0); |
| verifyEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_smallAlpha() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 7.856382354E-10); |
| ConfidenceInterval expected = ConfidenceInterval.create(-19.0, 19.0); |
| verifyEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_largeAlpha() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 1 - 3.548957438E-10); |
| ConfidenceInterval expected = ConfidenceInterval.create(0, 0); |
| verifyEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_smallEpsilon() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| /* epsilon= */ 1.567321563235E-10, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(-14691210451.0, 14691210451.0); |
| verifyEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_largeEpsilon() { |
| ConfidenceInterval actual = |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| /* epsilon= */ 1.567321563235E10, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA); |
| ConfidenceInterval expected = ConfidenceInterval.create(0, 0); |
| verifyEqual(actual, expected); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_zeroL0Sensitivity_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| /* l0Sensitivity= */ 0, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_negativeL0Sensitivity_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| /* l0Sensitivity= */ -1, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_zeroLInfSensitivity_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| /* lInfSensitivity= */ 0, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_negativeLInfSensitivity_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| /* lInfSensitivity= */ -1, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_tooSmallEpsilon_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| /* epsilon= */ 1.0 / (1L << 51), |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_infiniteEpsilon_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| /* epsilon= */ Double.POSITIVE_INFINITY, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_epsilonNan_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| /* epsilon= */ Double.NaN, |
| DEFAULT_DELTA, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_nonNullDelta_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| /* delta= */ 1.0, |
| DEFAULT_ALPHA)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_zeroAlpha_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 0)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_negativeAlpha_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ -1)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_alphaEqualToOne_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 1)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_alphaGreaterThanOne_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ 2)); |
| } |
| |
| @Test |
| public void computeConfidenceInterval_forLong_alphaNan_throwsException() { |
| assertThrows( |
| IllegalArgumentException.class, |
| () -> |
| NOISE.computeConfidenceInterval( |
| (long) DEFAULT_NOISED_X, |
| DEFAULT_L_0_SENSITIVITY, |
| (long) DEFAULT_L_INF_SENSITIVITY, |
| DEFAULT_EPSILON, |
| DEFAULT_DELTA, |
| /* alpha= */ Double.NaN)); |
| } |
| |
| private static boolean approxEqual(double a, double b) { |
| double maxMagnitude = max(Math.abs(a), Math.abs(b)); |
| return Math.abs(a - b) <= TOLERANCE * maxMagnitude; |
| } |
| |
| private static void verifyApproxEqual(ConfidenceInterval actual, ConfidenceInterval expected) { |
| assertWithMessage( |
| "Lower bounds are not equal. Actual = %s, expected = %s", |
| actual.lowerBound(), expected.lowerBound()) |
| .that(approxEqual(actual.lowerBound(), expected.lowerBound())) |
| .isTrue(); |
| assertWithMessage( |
| "Upper bounds are not equal. Actual = %s, expected = %s", |
| actual.upperBound(), expected.upperBound()) |
| .that(approxEqual(actual.upperBound(), expected.upperBound())) |
| .isTrue(); |
| } |
| |
| private static void verifyEqual(ConfidenceInterval actual, ConfidenceInterval expected) { |
| assertWithMessage( |
| "Lower bounds are not equal. Actual = %s, expected = %s", |
| actual.lowerBound(), expected.lowerBound()) |
| .that(actual.lowerBound()) |
| .isEqualTo(expected.lowerBound()); |
| assertWithMessage( |
| "Upper bounds are not equal. Actual = %s, expected = %s", |
| actual.upperBound(), expected.upperBound()) |
| .that(actual.upperBound()) |
| .isEqualTo(expected.upperBound()); |
| } |
| } |