/*
    * Licensed to the Apache Software Foundation (ASF) under one or more
    * contributor license agreements.  See the NOTICE file distributed with
    * this work for additional information regarding copyright ownership.
    * The ASF licenses this file to You 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
    *
    *      https://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.
   */
  
  /*
   * This is not the original file distributed by the Apache Software Foundation
   * It has been modified by the Hipparchus project
   */
  package org.hipparchus.analysis.integration;
  
  import org.hipparchus.analysis.CalculusFieldUnivariateFunction;
  import org.hipparchus.exception.MathIllegalArgumentException;
  import org.hipparchus.util.Binary64;
  import org.hipparchus.util.Binary64Field;
  import org.hipparchus.util.FastMath;
  import org.junit.Assert;
  import org.junit.Test;
  
  
  /**
   * Test case for Simpson integrator.
   * <p>
   * Test runs show that for a default relative accuracy of 1E-6, it
   * generally takes 5 to 10 iterations for the integral to converge.
   *
   */
  public final class FieldSimpsonIntegratorTest {
  
      /**
       * Test of integrator for the sine function.
       */
      @Test
      public void testSinFunction() {
          FieldUnivariateIntegrator<Binary64> integrator = new FieldSimpsonIntegrator<>(Binary64Field.getInstance());
  
          Binary64 min = new Binary64(0);
          Binary64 max = new Binary64(FastMath.PI);
          double expected = 2;
          double tolerance = FastMath.abs(expected * integrator.getRelativeAccuracy());
          double result = integrator.integrate(1000, x -> x.sin(), min, max).getReal();
          Assert.assertTrue(integrator.getEvaluations() < 100);
          Assert.assertTrue(integrator.getIterations()  < 10);
          Assert.assertEquals(expected, result, tolerance);
  
          min = new Binary64(-FastMath.PI/3);
          max = new Binary64(0);
          expected = -0.5;
          tolerance = FastMath.abs(expected * integrator.getRelativeAccuracy());
          result = integrator.integrate(1000, x -> x.sin(), min, max).getReal();
          Assert.assertTrue(integrator.getEvaluations() < 50);
          Assert.assertTrue(integrator.getIterations()  < 10);
          Assert.assertEquals(expected, result, tolerance);
      }
  
      /**
       * Test of integrator for the quintic function.
       */
      @Test
      public void testQuinticFunction() {
          CalculusFieldUnivariateFunction<Binary64> f =
                          t -> t.subtract(1).multiply(t.subtract(0.5)).multiply(t).multiply(t.add(0.5)).multiply(t.add(1));
          FieldUnivariateIntegrator<Binary64> integrator = new FieldSimpsonIntegrator<>(Binary64Field.getInstance());
  
          Binary64 min = new Binary64(0);
          Binary64 max = new Binary64(1);
          double expected = -1.0 / 48;
          double tolerance = FastMath.abs(expected * integrator.getRelativeAccuracy());
          double result = integrator.integrate(1000, f, min, max).getReal();
          Assert.assertTrue(integrator.getEvaluations() < 150);
          Assert.assertTrue(integrator.getIterations()  < 10);
          Assert.assertEquals(expected, result, tolerance);
  
          min = new Binary64(0);
          max = new Binary64(0.5);
          expected = 11.0 / 768;
          tolerance = FastMath.abs(expected * integrator.getRelativeAccuracy());
          result = integrator.integrate(1000, f, min, max).getReal();
          Assert.assertTrue(integrator.getEvaluations() < 100);
          Assert.assertTrue(integrator.getIterations()  < 10);
          Assert.assertEquals(expected, result, tolerance);
  
          min = new Binary64(-1);
          max = new Binary64(4);
          expected = 2048 / 3.0 - 78 + 1.0 / 48;
          tolerance = FastMath.abs(expected * integrator.getRelativeAccuracy());
          result = integrator.integrate(1000, f, min, max).getReal();
         Assert.assertTrue(integrator.getEvaluations() < 150);
         Assert.assertTrue(integrator.getIterations()  < 10);
         Assert.assertEquals(expected, result, tolerance);
     }
 
     /**
      * Test of parameters for the integrator.
      */
     @Test
     public void testParameters() {
         try {
             // bad interval
             new FieldSimpsonIntegrator<>(Binary64Field.getInstance()).integrate(1000, x -> x.sin(),
                                                                                  new Binary64(1), new Binary64(-1));
             Assert.fail("Expecting MathIllegalArgumentException - bad interval");
         } catch (MathIllegalArgumentException ex) {
             // expected
         }
         try {
             // bad iteration limits
             new FieldSimpsonIntegrator<>(Binary64Field.getInstance(), 5, 4);
             Assert.fail("Expecting MathIllegalArgumentException - bad iteration limits");
         } catch (MathIllegalArgumentException ex) {
             // expected
         }
         try {
             // bad iteration limits
             new FieldSimpsonIntegrator<>(Binary64Field.getInstance(), 10, 99);
             Assert.fail("Expecting MathIllegalArgumentException - bad iteration limits");
         } catch (MathIllegalArgumentException ex) {
             // expected
         }
     }
 }