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Diffstat (limited to 'src/main/java/org/apache/commons/math3/analysis/interpolation/UnivariatePeriodicInterpolator.java')
-rw-r--r-- | src/main/java/org/apache/commons/math3/analysis/interpolation/UnivariatePeriodicInterpolator.java | 124 |
1 files changed, 124 insertions, 0 deletions
diff --git a/src/main/java/org/apache/commons/math3/analysis/interpolation/UnivariatePeriodicInterpolator.java b/src/main/java/org/apache/commons/math3/analysis/interpolation/UnivariatePeriodicInterpolator.java new file mode 100644 index 0000000..88760f5 --- /dev/null +++ b/src/main/java/org/apache/commons/math3/analysis/interpolation/UnivariatePeriodicInterpolator.java @@ -0,0 +1,124 @@ +/* + * 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)); + } + }; + } +} |