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+/*
+ * 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
+ *
+ * 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 org.apache.commons.math3.analysis.interpolation;
+
+import org.apache.commons.math3.analysis.UnivariateFunction;
+import org.apache.commons.math3.util.MathUtils;
+import org.apache.commons.math3.util.MathArrays;
+import org.apache.commons.math3.exception.MathIllegalArgumentException;
+import org.apache.commons.math3.exception.NonMonotonicSequenceException;
+import org.apache.commons.math3.exception.NumberIsTooSmallException;
+
+/**
+ * Adapter for classes implementing the {@link UnivariateInterpolator}
+ * interface.
+ * The data to be interpolated is assumed to be periodic. Thus values that are
+ * outside of the range can be passed to the interpolation function: They will
+ * be wrapped into the initial range before being passed to the class that
+ * actually computes the interpolation.
+ *
+ */
+public class UnivariatePeriodicInterpolator
+ implements UnivariateInterpolator {
+ /** Default number of extension points of the samples array. */
+ public static final int DEFAULT_EXTEND = 5;
+ /** Interpolator. */
+ private final UnivariateInterpolator interpolator;
+ /** Period. */
+ private final double period;
+ /** Number of extension points. */
+ private final int extend;
+
+ /**
+ * Builds an interpolator.
+ *
+ * @param interpolator Interpolator.
+ * @param period Period.
+ * @param extend Number of points to be appended at the beginning and
+ * end of the sample arrays in order to avoid interpolation failure at
+ * the (periodic) boundaries of the orginal interval. The value is the
+ * number of sample points which the original {@code interpolator} needs
+ * on each side of the interpolated point.
+ */
+ public UnivariatePeriodicInterpolator(UnivariateInterpolator interpolator,
+ double period,
+ int extend) {
+ this.interpolator = interpolator;
+ this.period = period;
+ this.extend = extend;
+ }
+
+ /**
+ * Builds an interpolator.
+ * Uses {@link #DEFAULT_EXTEND} as the number of extension points on each side
+ * of the original abscissae range.
+ *
+ * @param interpolator Interpolator.
+ * @param period Period.
+ */
+ public UnivariatePeriodicInterpolator(UnivariateInterpolator interpolator,
+ double period) {
+ this(interpolator, period, DEFAULT_EXTEND);
+ }
+
+ /**
+ * {@inheritDoc}
+ *
+ * @throws NumberIsTooSmallException if the number of extension points
+ * is larger than the size of {@code xval}.
+ */
+ public UnivariateFunction interpolate(double[] xval,
+ double[] yval)
+ throws NumberIsTooSmallException, NonMonotonicSequenceException {
+ if (xval.length < extend) {
+ throw new NumberIsTooSmallException(xval.length, extend, true);
+ }
+
+ MathArrays.checkOrder(xval);
+ final double offset = xval[0];
+
+ final int len = xval.length + extend * 2;
+ final double[] x = new double[len];
+ final double[] y = new double[len];
+ for (int i = 0; i < xval.length; i++) {
+ final int index = i + extend;
+ x[index] = MathUtils.reduce(xval[i], period, offset);
+ y[index] = yval[i];
+ }
+
+ // Wrap to enable interpolation at the boundaries.
+ for (int i = 0; i < extend; i++) {
+ int index = xval.length - extend + i;
+ x[i] = MathUtils.reduce(xval[index], period, offset) - period;
+ y[i] = yval[index];
+
+ index = len - extend + i;
+ x[index] = MathUtils.reduce(xval[i], period, offset) + period;
+ y[index] = yval[i];
+ }
+
+ MathArrays.sortInPlace(x, y);
+
+ final UnivariateFunction f = interpolator.interpolate(x, y);
+ return new UnivariateFunction() {
+ /** {@inheritDoc} */
+ public double value(final double x) throws MathIllegalArgumentException {
+ return f.value(MathUtils.reduce(x, period, offset));
+ }
+ };
+ }
+}