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| 1 | +package com.thealgorithms.maths; |
| 2 | + |
| 3 | +import static org.junit.jupiter.api.Assertions.assertArrayEquals; |
| 4 | +import static org.junit.jupiter.api.Assertions.assertEquals; |
| 5 | +import static org.junit.jupiter.api.Assertions.assertThrows; |
| 6 | + |
| 7 | +import java.util.ArrayList; |
| 8 | +import java.util.function.BiFunction; |
| 9 | +import java.util.stream.Stream; |
| 10 | +import org.junit.jupiter.params.ParameterizedTest; |
| 11 | +import org.junit.jupiter.params.provider.Arguments; |
| 12 | +import org.junit.jupiter.params.provider.MethodSource; |
| 13 | + |
| 14 | +class EulerMethodTest { |
| 15 | + |
| 16 | + private static class EulerFullTestCase { |
| 17 | + double[] params; |
| 18 | + BiFunction<Double, Double, Double> equation; |
| 19 | + int expectedSize; |
| 20 | + double[] expectedFirstPoint; |
| 21 | + double[] expectedLastPoint; |
| 22 | + |
| 23 | + EulerFullTestCase(double[] params, BiFunction<Double, Double, Double> equation, int expectedSize, double[] expectedFirstPoint, double[] expectedLastPoint) { |
| 24 | + this.params = params; |
| 25 | + this.equation = equation; |
| 26 | + this.expectedSize = expectedSize; |
| 27 | + this.expectedFirstPoint = expectedFirstPoint; |
| 28 | + this.expectedLastPoint = expectedLastPoint; |
| 29 | + } |
| 30 | + } |
| 31 | + |
| 32 | + @ParameterizedTest |
| 33 | + @MethodSource("eulerStepTestCases") |
| 34 | + void testEulerStep(double x, double h, double y, BiFunction<Double, Double, Double> equation, double expected) { |
| 35 | + double result = EulerMethod.eulerStep(x, h, y, equation); |
| 36 | + assertEquals(expected, result, 1e-9, "Euler step failed for the given equation."); |
| 37 | + } |
| 38 | + |
| 39 | + static Stream<Arguments> eulerStepTestCases() { |
| 40 | + return Stream.of(Arguments.of(0.0, 0.1, 1.0, (BiFunction<Double, Double, Double>) ((x, y) -> x + y), 1.1)); |
| 41 | + } |
| 42 | + |
| 43 | + @ParameterizedTest |
| 44 | + @MethodSource("eulerStepInvalidCases") |
| 45 | + void testEulerStepInvalidInput(double x, double h, double y, BiFunction<Double, Double, Double> equation, Class<? extends Exception> expectedExceptionClass) { |
| 46 | + assertThrows(expectedExceptionClass, () -> EulerMethod.eulerStep(x, h, y, equation)); |
| 47 | + } |
| 48 | + |
| 49 | + static Stream<Arguments> eulerStepInvalidCases() { |
| 50 | + BiFunction<Double, Double, Double> dummyEquation = (x, y) -> x + y; |
| 51 | + return Stream.of(Arguments.of(0.0, -0.1, 1.0, dummyEquation, IllegalArgumentException.class), Arguments.of(0.0, 0.0, 1.0, dummyEquation, IllegalArgumentException.class)); |
| 52 | + } |
| 53 | + |
| 54 | + @ParameterizedTest |
| 55 | + @MethodSource("eulerFullTestCases") |
| 56 | + void testEulerFull(EulerFullTestCase testCase) { |
| 57 | + ArrayList<double[]> result = EulerMethod.eulerFull(testCase.params[0], testCase.params[1], testCase.params[2], testCase.params[3], testCase.equation); |
| 58 | + assertEquals(testCase.expectedSize, result.size(), "Incorrect number of points in the result."); |
| 59 | + assertArrayEquals(testCase.expectedFirstPoint, result.get(0), 1e-9, "Incorrect first point."); |
| 60 | + assertArrayEquals(testCase.expectedLastPoint, result.get(result.size() - 1), 1e-9, "Incorrect last point."); |
| 61 | + } |
| 62 | + |
| 63 | + static Stream<Arguments> eulerFullTestCases() { |
| 64 | + return Stream.of(Arguments.of(new EulerFullTestCase(new double[] {0.0, 1.0, 0.5, 0.0}, (x, y) -> x, 3, new double[] {0.0, 0.0}, new double[] {1.0, 0.25})), |
| 65 | + Arguments.of(new EulerFullTestCase(new double[] {0.0, 1.0, 0.1, 1.0}, (x, y) -> y, 12, new double[] {0.0, 1.0}, new double[] {1.0999999999999999, 2.8531167061100002})), |
| 66 | + Arguments.of(new EulerFullTestCase(new double[] {0.0, 0.1, 0.1, 1.0}, (x, y) -> x + y, 2, new double[] {0.0, 1.0}, new double[] {0.1, 1.1}))); |
| 67 | + } |
| 68 | + |
| 69 | + @ParameterizedTest |
| 70 | + @MethodSource("eulerFullInvalidCases") |
| 71 | + void testEulerFullInvalidInput(double xStart, double xEnd, double stepSize, double yInitial, BiFunction<Double, Double, Double> equation, Class<? extends Exception> expectedExceptionClass) { |
| 72 | + assertThrows(expectedExceptionClass, () -> EulerMethod.eulerFull(xStart, xEnd, stepSize, yInitial, equation)); |
| 73 | + } |
| 74 | + |
| 75 | + static Stream<Arguments> eulerFullInvalidCases() { |
| 76 | + BiFunction<Double, Double, Double> dummyEquation = (x, y) -> x + y; |
| 77 | + return Stream.of(Arguments.of(1.0, 0.0, 0.1, 1.0, dummyEquation, IllegalArgumentException.class), Arguments.of(0.0, 1.0, 0.0, 1.0, dummyEquation, IllegalArgumentException.class), Arguments.of(0.0, 1.0, -0.1, 1.0, dummyEquation, IllegalArgumentException.class)); |
| 78 | + } |
| 79 | +} |
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