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Added a consistent classes hierarchy for Euclidean spaces in dimension 1, 2 and 3 

git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@1131123 13f79535-47bb-0310-9956-ffa450edef68
This commit is contained in:
Luc Maisonobe 2011-06-03 18:02:48 +00:00
parent 6b3df11f0d
commit a31933b64a
18 changed files with 2236 additions and 900 deletions
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30
src/main/java/org/apache/commons/math/geometry/partitioning/Point.java → src/main/java/org/apache/commons/math/geometry/Space.java
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@ -14,16 +14,26 @@
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.commons.math.geometry.partitioning;
package org.apache.commons.math.geometry;
/** This interface represents a generic point to be used in a space partition.
* <p>Points are completely virtual entities with no specification at
* all, so this class is essentially a marker interface with no
* methods. This allows to perform partition in traditional euclidean
* n-dimensions spaces, but also in more exotic universes like for
* example the surface of the unit sphere.</p>
* @version $Revision$ $Date$
import java.io.Serializable;
/** This interface represents a generic space, with affine and vectorial counterparts.
* @version $Id:$
* @see Vector
* @since 3.0
*/
public interface Point {
// nothing here, this is only a marker interface
public interface Space extends Serializable {
/** Get the dimension of the space.
* @return dimension of the space
*/
int getDimension();
/** Get the n-1 dimension subspace of this space.
* @return n-1 dimension sub-space of this space
* @see #getDimension()
*/
Space getSubSpace();
}

141
src/main/java/org/apache/commons/math/geometry/Vector.java Normal file
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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.math.geometry;
import java.io.Serializable;
import java.text.NumberFormat;
/** This interface represents a generic vector in a vectorial space or a point in an affine space.
* @version $Id:$
* @see Space
* @see Vector
* @since 3.0
*/
public interface Vector<S extends Space> extends Serializable {
/** Get the space to which the vector belongs.
* @return containing space
*/
Space getSpace();
/** Get the null vector of the vetorial space or origin point of the affine space.
* @return null vector of the vetorial space or origin point of the affine space
*/
Vector<S> getZero();
/** Get the L<sub>1</sub> norm for the vector.
* @return L<sub>1</sub> norm for the vector
*/
double getNorm1();
/** Get the L<sub>2</sub> norm for the vector.
* @return Euclidean norm for the vector
*/
double getNorm();
/** Get the square of the norm for the vector.
* @return square of the Euclidean norm for the vector
*/
double getNormSq();
/** Get the L<sub>&infin;</sub> norm for the vector.
* @return L<sub>&infin;</sub> norm for the vector
*/
double getNormInf();
/** Add a vector to the instance.
* @param v vector to add
* @return a new vector
*/
Vector<S> add(Vector<S> v);
/** Add a scaled vector to the instance.
* @param factor scale factor to apply to v before adding it
* @param v vector to add
* @return a new vector
*/
Vector<S> add(double factor, Vector<S> v);
/** Subtract a vector from the instance.
* @param v vector to subtract
* @return a new vector
*/
Vector<S> subtract(Vector<S> v);
/** Subtract a scaled vector from the instance.
* @param factor scale factor to apply to v before subtracting it
* @param v vector to subtract
* @return a new vector
*/
Vector<S> subtract(double factor, Vector<S> v);
/**
* Returns true if any coordinate of this vector is NaN; false otherwise
* @return true if any coordinate of this vector is NaN; false otherwise
*/
boolean isNaN();
/**
* Returns true if any coordinate of this vector is infinite and none are NaN;
* false otherwise
* @return true if any coordinate of this vector is infinite and none are NaN;
* false otherwise
*/
boolean isInfinite();
/** Compute the distance between the instance and another vector according to the L<sub>1</sub> norm.
* <p>Calling this method is equivalent to calling:
* <code>q.subtract(p).getNorm1()</code> except that no intermediate
* vector is built</p>
* @param v second vector
* @return the distance between the instance and p according to the L<sub>1</sub> norm
*/
double distance1(Vector<S> v);
/** Compute the distance between the instance and another vector according to the L<sub>2</sub> norm.
* <p>Calling this method is equivalent to calling:
* <code>q.subtract(p).getNorm()</code> except that no intermediate
* vector is built</p>
* @param v second vector
* @return the distance between the instance and p according to the L<sub>2</sub> norm
*/
double distance(Vector<S> v);
/** Compute the distance between the instance and another vector according to the L<sub>&infin;</sub> norm.
* <p>Calling this method is equivalent to calling:
* <code>q.subtract(p).getNormInf()</code> except that no intermediate
* vector is built</p>
* @param v second vector
* @return the distance between the instance and p according to the L<sub>&infin;</sub> norm
*/
double distanceInf(Vector<S> v);
/** Compute the square of the distance between the instance and another vector.
* <p>Calling this method is equivalent to calling:
* <code>q.subtract(p).getNormSq()</code> except that no intermediate
* vector is built</p>
* @param v second vector
* @return the square of the distance between the instance and p
*/
double distanceSq(Vector<S> v);
/** Get a string representation of this vector.
* @param format the custom format for components.
*/
public String toString(final NumberFormat format);
}

289
src/main/java/org/apache/commons/math/geometry/VectorFormat.java Normal file
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@ -0,0 +1,289 @@
/*
* 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.math.geometry;
import java.text.FieldPosition;
import java.text.NumberFormat;
import java.text.ParsePosition;
import java.util.Locale;
import org.apache.commons.math.util.CompositeFormat;
import org.apache.commons.math.exception.MathParseException;
/**
* Formats a vector in components list format "{x; y; ...}".
* <p>The prefix and suffix "{" and "}" and the separator "; " can be replaced by
* any user-defined strings. The number format for components can be configured.</p>
* <p>White space is ignored at parse time, even if it is in the prefix, suffix
* or separator specifications. So even if the default separator does include a space
* character that is used at format time, both input string "{1;1;1}" and
* " { 1 ; 1 ; 1 } " will be parsed without error and the same vector will be
* returned. In the second case, however, the parse position after parsing will be
* just after the closing curly brace, i.e. just before the trailing space.</p>
*
* @version $Id:$
* @since 3.0
*/
public abstract class VectorFormat<S extends Space> {
/** The default prefix: "{". */
public static final String DEFAULT_PREFIX = "{";
/** The default suffix: "}". */
public static final String DEFAULT_SUFFIX = "}";
/** The default separator: ", ". */
public static final String DEFAULT_SEPARATOR = "; ";
/** Prefix. */
private final String prefix;
/** Suffix. */
private final String suffix;
/** Separator. */
private final String separator;
/** Trimmed prefix. */
private final String trimmedPrefix;
/** Trimmed suffix. */
private final String trimmedSuffix;
/** Trimmed separator. */
private final String trimmedSeparator;
/** The format used for components. */
private final NumberFormat format;
/**
* Create an instance with default settings.
* <p>The instance uses the default prefix, suffix and separator:
* "{", "}", and "; " and the default number format for components.</p>
*/
protected VectorFormat() {
this(DEFAULT_PREFIX, DEFAULT_SUFFIX, DEFAULT_SEPARATOR,
CompositeFormat.getDefaultNumberFormat());
}
/**
* Create an instance with a custom number format for components.
* @param format the custom format for components.
*/
protected VectorFormat(final NumberFormat format) {
this(DEFAULT_PREFIX, DEFAULT_SUFFIX, DEFAULT_SEPARATOR, format);
}
/**
* Create an instance with custom prefix, suffix and separator.
* @param prefix prefix to use instead of the default "{"
* @param suffix suffix to use instead of the default "}"
* @param separator separator to use instead of the default "; "
*/
protected VectorFormat(final String prefix, final String suffix,
final String separator) {
this(prefix, suffix, separator, CompositeFormat.getDefaultNumberFormat());
}
/**
* Create an instance with custom prefix, suffix, separator and format
* for components.
* @param prefix prefix to use instead of the default "{"
* @param suffix suffix to use instead of the default "}"
* @param separator separator to use instead of the default "; "
* @param format the custom format for components.
*/
protected VectorFormat(final String prefix, final String suffix,
final String separator, final NumberFormat format) {
this.prefix = prefix;
this.suffix = suffix;
this.separator = separator;
trimmedPrefix = prefix.trim();
trimmedSuffix = suffix.trim();
trimmedSeparator = separator.trim();
this.format = format;
}
/**
* Get the set of locales for which point/vector formats are available.
* <p>This is the same set as the {@link NumberFormat} set.</p>
* @return available point/vector format locales.
*/
public static Locale[] getAvailableLocales() {
return NumberFormat.getAvailableLocales();
}
/**
* Get the format prefix.
* @return format prefix.
*/
public String getPrefix() {
return prefix;
}
/**
* Get the format suffix.
* @return format suffix.
*/
public String getSuffix() {
return suffix;
}
/**
* Get the format separator between components.
* @return format separator.
*/
public String getSeparator() {
return separator;
}
/**
* Get the components format.
* @return components format.
*/
public NumberFormat getFormat() {
return format;
}
/**
* Formats a {@link Vector} object to produce a string.
* @param vector the object to format.
* @return a formatted string.
*/
public String format(Vector<S> vector) {
return format(vector, new StringBuffer(), new FieldPosition(0)).toString();
}
/**
* Formats a {@link Vector} object to produce a string.
* @param vector the object to format.
* @param toAppendTo where the text is to be appended
* @param pos On input: an alignment field, if desired. On output: the
* offsets of the alignment field
* @return the value passed in as toAppendTo.
*/
public abstract StringBuffer format(Vector<S> vector,
StringBuffer toAppendTo, FieldPosition pos);
/**
* Formats the coordinates of a {@link Vector} to produce a string.
* @param toAppendTo where the text is to be appended
* @param pos On input: an alignment field, if desired. On output: the
* offsets of the alignment field
* @param coordinates coordinates of the object to format.
* @return the value passed in as toAppendTo.
*/
protected StringBuffer format(StringBuffer toAppendTo, FieldPosition pos,
double ... coordinates) {
pos.setBeginIndex(0);
pos.setEndIndex(0);
// format prefix
toAppendTo.append(prefix);
// format components
for (int i = 0; i < coordinates.length; ++i) {
if (i > 0) {
toAppendTo.append(separator);
}
CompositeFormat.formatDouble(coordinates[i], format, toAppendTo, pos);
}
// format suffix
toAppendTo.append(suffix);
return toAppendTo;
}
/**
* Parses a string to produce a {@link Vector} object.
* @param source the string to parse
* @return the parsed {@link Vector} object.
* @throws MathParseException if the beginning of the specified string
* cannot be parsed.
*/
public abstract Vector<S> parse(String source);
/**
* Parses a string to produce a {@link Vector} object.
* @param source the string to parse
* @param pos input/ouput parsing parameter.
* @return the parsed {@link Vector} object.
*/
public abstract Vector<S> parse(String source, ParsePosition pos);
/**
* Parses a string to produce an array of coordinates.
* @param dimension dimension of the space
* @param source the string to parse
* @param pos input/ouput parsing parameter.
* @return coordinates array.
*/
protected double[] parseCoordinates(int dimension, String source, ParsePosition pos) {
int initialIndex = pos.getIndex();
double[] coordinates = new double[dimension];
// parse prefix
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
if (!CompositeFormat.parseFixedstring(source, trimmedPrefix, pos)) {
return null;
}
for (int i = 0; i < dimension; ++i) {
// skip whitespace
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
// parse separator
if (i > 0) {
if (!CompositeFormat.parseFixedstring(source, trimmedSeparator, pos)) {
return null;
}
}
// skip whitespace
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
// parse coordinate
Number c = CompositeFormat.parseNumber(source, format, pos);
if (c == null) {
// invalid coordinate
// set index back to initial, error index should already be set
pos.setIndex(initialIndex);
return null;
}
// store coordinate
coordinates[i] = c.doubleValue();
}
// parse suffix
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
if (!CompositeFormat.parseFixedstring(source, trimmedSuffix, pos)) {
return null;
}
return coordinates;
}
}

83
src/main/java/org/apache/commons/math/geometry/euclidean/oned/Euclidean1D.java Normal file
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@ -0,0 +1,83 @@
/*
* 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.math.geometry.euclidean.oned;
import java.io.Serializable;
import org.apache.commons.math.exception.MathUnsupportedOperationException;
import org.apache.commons.math.exception.util.LocalizedFormats;
import org.apache.commons.math.geometry.Space;
/**
* This class implements a one-dimensional space.
* @version $Id:$
* @since 3.0
*/
public class Euclidean1D implements Serializable, Space {
/** Serializable version identifier. */
private static final long serialVersionUID = -1178039568877797126L;
/** Private constructor for the singleton.
*/
private Euclidean1D() {
}
/** Get the unique instance.
* @return the unique instance
*/
public static Euclidean1D getInstance() {
return LazyHolder.INSTANCE;
}
/** {@inheritDoc} */
public int getDimension() {
return 1;
}
/** {@inheritDoc}
* <p>
* As the 1-dimension Euclidean space does not have proper sub-spaces,
* this method always throws a {@link MathUnsupportedOperationException}
* </p>
* @return nothing
* @throws MathUnsupportedOperationException in all cases
*/
public Space getSubSpace() throws MathUnsupportedOperationException {
throw new MathUnsupportedOperationException(LocalizedFormats.NOT_SUPPORTED_IN_DIMENSION_N, 1);
}
// CHECKSTYLE: stop HideUtilityClassConstructor
/** Holder for the instance.
* <p>We use here the Initialization On Demand Holder Idiom.</p>
*/
private static class LazyHolder {
/** Cached field instance. */
private static final Euclidean1D INSTANCE = new Euclidean1D();
}
// CHECKSTYLE: resume HideUtilityClassConstructor
/** Handle deserialization of the singleton.
* @return the singleton instance
*/
private Object readResolve() {
// return the singleton instance
return LazyHolder.INSTANCE;
}
}

53
src/main/java/org/apache/commons/math/geometry/euclidean/oned/Point1D.java
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@ -1,53 +0,0 @@
/*
* 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.math.geometry.euclidean.oned;
import org.apache.commons.math.geometry.partitioning.Point;
/** This class represents a 1D point.
* <p>Instances of this class are guaranteed to be immutable.</p>
* @version $Revision$ $Date$
*/
public class Point1D implements Point {
/** Point at 0.0 abscissa. */
public static final Point1D ZERO = new Point1D(0.0);
/** Point at 1.0 abscissa. */
public static final Point1D ONE = new Point1D(1.0);
/** Point at undefined (NaN) abscissa. */
public static final Point1D UNDEFINED = new Point1D(Double.NaN);
/** Abscissa of the point. */
private double x;
/** Simple constructor.
* @param x abscissa of the point
*/
public Point1D(final double x) {
this.x = x;
}
/** Get the abscissa of the point.
* @return abscissa of the point
*/
public double getAbscissa() {
return x;
}
}

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src/main/java/org/apache/commons/math/geometry/euclidean/oned/Vector1D.java Normal file
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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.math.geometry.euclidean.oned;
import java.text.NumberFormat;
import org.apache.commons.math.geometry.Vector;
import org.apache.commons.math.geometry.Space;
import org.apache.commons.math.util.FastMath;
import org.apache.commons.math.util.MathUtils;
/** This class represents a 1D vector.
* <p>Instances of this class are guaranteed to be immutable.</p>
* @version $Id:$
* @since 3.0
*/
public class Vector1D implements Vector<Euclidean1D> {
/** Origin (coordinates: 0). */
public static final Vector1D ZERO = new Vector1D(0.0);
/** Unit (coordinates: 1). */
public static final Vector1D ONE = new Vector1D(1.0);
// CHECKSTYLE: stop ConstantName
/** A vector with all coordinates set to NaN. */
public static final Vector1D NaN = new Vector1D(Double.NaN);
// CHECKSTYLE: resume ConstantName
/** A vector with all coordinates set to positive infinity. */
public static final Vector1D POSITIVE_INFINITY =
new Vector1D(Double.POSITIVE_INFINITY);
/** A vector with all coordinates set to negative infinity. */
public static final Vector1D NEGATIVE_INFINITY =
new Vector1D(Double.NEGATIVE_INFINITY);
/** Serializable UID. */
private static final long serialVersionUID = 7556674948671647925L;
/** Abscissa. */
private final double x;
/** Simple constructor.
* Build a vector from its coordinates
* @param x abscissa
* @see #getX()
*/
public Vector1D(double x) {
this.x = x;
}
/** Multiplicative constructor
* Build a vector from another one and a scale factor.
* The vector built will be a * u
* @param a scale factor
* @param u base (unscaled) vector
*/
public Vector1D(double a, Vector1D u) {
this.x = a * u.x;
}
/** Linear constructor
* Build a vector from two other ones and corresponding scale factors.
* The vector built will be a1 * u1 + a2 * u2
* @param a1 first scale factor
* @param u1 first base (unscaled) vector
* @param a2 second scale factor
* @param u2 second base (unscaled) vector
*/
public Vector1D(double a1, Vector1D u1, double a2, Vector1D u2) {
this.x = a1 * u1.x + a2 * u2.x;
}
/** Linear constructor
* Build a vector from three other ones and corresponding scale factors.
* The vector built will be a1 * u1 + a2 * u2 + a3 * u3
* @param a1 first scale factor
* @param u1 first base (unscaled) vector
* @param a2 second scale factor
* @param u2 second base (unscaled) vector
* @param a3 third scale factor
* @param u3 third base (unscaled) vector
*/
public Vector1D(double a1, Vector1D u1, double a2, Vector1D u2,
double a3, Vector1D u3) {
this.x = a1 * u1.x + a2 * u2.x + a3 * u3.x;
}
/** Linear constructor
* Build a vector from four other ones and corresponding scale factors.
* The vector built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4
* @param a1 first scale factor
* @param u1 first base (unscaled) vector
* @param a2 second scale factor
* @param u2 second base (unscaled) vector
* @param a3 third scale factor
* @param u3 third base (unscaled) vector
* @param a4 fourth scale factor
* @param u4 fourth base (unscaled) vector
*/
public Vector1D(double a1, Vector1D u1, double a2, Vector1D u2,
double a3, Vector1D u3, double a4, Vector1D u4) {
this.x = a1 * u1.x + a2 * u2.x + a3 * u3.x + a4 * u4.x;
}
/** Get the abscissa of the vector.
* @return abscissa of the vector
* @see #Vector1D(double)
*/
public double getX() {
return x;
}
/** {@inheritDoc} */
public Space getSpace() {
return Euclidean1D.getInstance();
}
/** {@inheritDoc} */
public Vector1D getZero() {
return ZERO;
}
/** {@inheritDoc} */
public double getNorm1() {
return FastMath.abs(x);
}
/** {@inheritDoc} */
public double getNorm() {
return FastMath.abs(x);
}
/** {@inheritDoc} */
public double getNormSq() {
return x * x;
}
/** {@inheritDoc} */
public double getNormInf() {
return FastMath.abs(x);
}
/** {@inheritDoc} */
public Vector1D add(Vector<Euclidean1D> v) {
Vector1D v1 = (Vector1D) v;
return new Vector1D(x + v1.getX());
}
/** {@inheritDoc} */
public Vector1D add(double factor, Vector<Euclidean1D> v) {
Vector1D v1 = (Vector1D) v;
return new Vector1D(x + factor * v1.getX());
}
/** {@inheritDoc} */
public Vector1D subtract(Vector<Euclidean1D> p) {
Vector1D p3 = (Vector1D) p;
return new Vector1D(x - p3.x);
}
/** {@inheritDoc} */
public Vector1D subtract(double factor, Vector<Euclidean1D> v) {
Vector1D v1 = (Vector1D) v;
return new Vector1D(x - factor * v1.getX());
}
/** {@inheritDoc} */
public boolean isNaN() {
return Double.isNaN(x);
}
/** {@inheritDoc} */
public boolean isInfinite() {
return !isNaN() && Double.isInfinite(x);
}
/** {@inheritDoc} */
public double distance1(Vector<Euclidean1D> p) {
Vector1D p3 = (Vector1D) p;
final double dx = FastMath.abs(p3.x - x);
return dx;
}
/** {@inheritDoc} */
public double distance(Vector<Euclidean1D> p) {
Vector1D p3 = (Vector1D) p;
final double dx = p3.x - x;
return FastMath.abs(dx);
}
/** {@inheritDoc} */
public double distanceInf(Vector<Euclidean1D> p) {
Vector1D p3 = (Vector1D) p;
final double dx = FastMath.abs(p3.x - x);
return dx;
}
/** {@inheritDoc} */
public double distanceSq(Vector<Euclidean1D> p) {
Vector1D p3 = (Vector1D) p;
final double dx = p3.x - x;
return dx * dx;
}
/** Compute the distance between two vectors according to the L<sub>2</sub> norm.
* <p>Calling this method is equivalent to calling:
* <code>p1.subtract(p2).getNorm()</code> except that no intermediate
* vector is built</p>
* @param p1 first vector
* @param p2 second vector
* @return the distance between p1 and p2 according to the L<sub>2</sub> norm
*/
public static double distance(Vector1D p1, Vector1D p2) {
return p1.distance(p2);
}
/** Compute the distance between two vectors according to the L<sub>&infin;</sub> norm.
* <p>Calling this method is equivalent to calling:
* <code>p1.subtract(p2).getNormInf()</code> except that no intermediate
* vector is built</p>
* @param p1 first vector
* @param p2 second vector
* @return the distance between p1 and p2 according to the L<sub>&infin;</sub> norm
*/
public static double distanceInf(Vector1D p1, Vector1D p2) {
return p1.distanceInf(p2);
}
/** Compute the square of the distance between two vectors.
* <p>Calling this method is equivalent to calling:
* <code>p1.subtract(p2).getNormSq()</code> except that no intermediate
* vector is built</p>
* @param p1 first vector
* @param p2 second vector
* @return the square of the distance between p1 and p2
*/
public static double distanceSq(Vector1D p1, Vector1D p2) {
return p1.distanceSq(p2);
}
/**
* Test for the equality of two 1D vectors.
* <p>
* If all coordinates of two 1D vectors are exactly the same, and none are
* <code>Double.NaN</code>, the two 1D vectors are considered to be equal.
* </p>
* <p>
* <code>NaN</code> coordinates are considered to affect globally the vector
* and be equals to each other - i.e, if either (or all) coordinates of the
* 1D vector are equal to <code>Double.NaN</code>, the 1D vector is equal to
* {@link #NaN}.
* </p>
*
* @param other Object to test for equality to this
* @return true if two 1D vector objects are equal, false if
* object is null, not an instance of Vector1D, or
* not equal to this Vector1D instance
*
*/
@Override
public boolean equals(Object other) {
if (this == other) {
return true;
}
if (other instanceof Vector1D) {
final Vector1D rhs = (Vector1D)other;
if (rhs.isNaN()) {
return this.isNaN();
}
return x == rhs.x;
}
return false;
}
/**
* Get a hashCode for the 1D vector.
* <p>
* All NaN values have the same hash code.</p>
*
* @return a hash code value for this object
*/
@Override
public int hashCode() {
if (isNaN()) {
return 7785;
}
return 997 * MathUtils.hash(x);
}
/** Get a string representation of this vector.
* @return a string representation of this vector
*/
@Override
public String toString() {
return Vector1DFormat.getInstance().format(this);
}
/** {@inheritDoc} */
public String toString(final NumberFormat format) {
return new Vector1DFormat(format).format(this);
}
}

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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.math.geometry.euclidean.oned;
import java.text.FieldPosition;
import java.text.NumberFormat;
import java.text.ParsePosition;
import java.util.Locale;
import org.apache.commons.math.exception.MathParseException;
import org.apache.commons.math.geometry.Vector;
import org.apache.commons.math.geometry.VectorFormat;
import org.apache.commons.math.util.CompositeFormat;
/**
* Formats a 1D vector in components list format "{x}".
* <p>The prefix and suffix "{" and "}" can be replaced by
* any user-defined strings. The number format for components can be configured.</p>
* <p>White space is ignored at parse time, even if it is in the prefix, suffix
* or separator specifications. So even if the default separator does include a space
* character that is used at format time, both input string "{1}" and
* " { 1 } " will be parsed without error and the same vector will be
* returned. In the second case, however, the parse position after parsing will be
* just after the closing curly brace, i.e. just before the trailing space.</p>
*
* @version $Id:$
* @since 3.0
*/
public class Vector1DFormat extends VectorFormat<Euclidean1D> {
/**
* Create an instance with default settings.
* <p>The instance uses the default prefix, suffix and separator:
* "{", "}", and "; " and the default number format for components.</p>
*/
public Vector1DFormat() {
super(DEFAULT_PREFIX, DEFAULT_SUFFIX, DEFAULT_SEPARATOR,
CompositeFormat.getDefaultNumberFormat());
}
/**
* Create an instance with a custom number format for components.
* @param format the custom format for components.
*/
public Vector1DFormat(final NumberFormat format) {
super(DEFAULT_PREFIX, DEFAULT_SUFFIX, DEFAULT_SEPARATOR, format);
}
/**
* Create an instance with custom prefix, suffix and separator.
* @param prefix prefix to use instead of the default "{"
* @param suffix suffix to use instead of the default "}"
*/
public Vector1DFormat(final String prefix, final String suffix) {
super(prefix, suffix, DEFAULT_SEPARATOR, CompositeFormat.getDefaultNumberFormat());
}
/**
* Create an instance with custom prefix, suffix, separator and format
* for components.
* @param prefix prefix to use instead of the default "{"
* @param suffix suffix to use instead of the default "}"
* @param format the custom format for components.
*/
public Vector1DFormat(final String prefix, final String suffix,
final NumberFormat format) {
super(prefix, suffix, DEFAULT_SEPARATOR, format);
}
/**
* Returns the default 1D vector format for the current locale.
* @return the default 1D vector format.
*/
public static Vector1DFormat getInstance() {
return getInstance(Locale.getDefault());
}
/**
* Returns the default 1D vector format for the given locale.
* @param locale the specific locale used by the format.
* @return the 1D vector format specific to the given locale.
*/
public static Vector1DFormat getInstance(final Locale locale) {
return new Vector1DFormat(CompositeFormat.getDefaultNumberFormat(locale));
}
/** {@inheritDoc} */
public StringBuffer format(final Vector<Euclidean1D> vector, final StringBuffer toAppendTo,
final FieldPosition pos) {
final Vector1D p1 = (Vector1D) vector;
return format(toAppendTo, pos, p1.getX());
}
/** {@inheritDoc} */
public Vector1D parse(final String source) {
ParsePosition parsePosition = new ParsePosition(0);
Vector1D result = parse(source, parsePosition);
if (parsePosition.getIndex() == 0) {
throw new MathParseException(source,
parsePosition.getErrorIndex(),
Vector1D.class);
}
return result;
}
/** {@inheritDoc} */
public Vector1D parse(final String source, final ParsePosition pos) {
final double[] coordinates = parseCoordinates(1, source, pos);
if (coordinates == null) {
return null;
}
return new Vector1D(coordinates[0]);
}
}

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@ -0,0 +1,75 @@
/*
* 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.math.geometry.euclidean.threed;
import java.io.Serializable;
import org.apache.commons.math.geometry.Space;
import org.apache.commons.math.geometry.euclidean.twod.Euclidean2D;
/**
* This class implements a three-dimensional space.
* @version $Id:$
* @since 3.0
*/
public class Euclidean3D implements Serializable, Space {
/** Serializable version identifier. */
private static final long serialVersionUID = 6249091865814886817L;
/** Private constructor for the singleton.
*/
private Euclidean3D() {
}
/** Get the unique instance.
* @return the unique instance
*/
public static Euclidean3D getInstance() {
return LazyHolder.INSTANCE;
}
/** {@inheritDoc} */
public int getDimension() {
return 3;
}
/** {@inheritDoc} */
public Euclidean2D getSubSpace() {
return Euclidean2D.getInstance();
}
// CHECKSTYLE: stop HideUtilityClassConstructor
/** Holder for the instance.
* <p>We use here the Initialization On Demand Holder Idiom.</p>
*/
private static class LazyHolder {
/** Cached field instance. */
private static final Euclidean3D INSTANCE = new Euclidean3D();
}
// CHECKSTYLE: resume HideUtilityClassConstructor
/** Handle deserialization of the singleton.
* @return the singleton instance
*/
private Object readResolve() {
// return the singleton instance
return LazyHolder.INSTANCE;
}
}

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@ -1,112 +0,0 @@
/*
* 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.math.geometry.euclidean.threed;
import org.apache.commons.math.geometry.partitioning.Point;
/** This class represents a 3D point.
* <p>Instances of this class are guaranteed to be immutable.</p>
* @version $Revision$ $Date$
*/
public class Point3D extends Vector3D implements Point {
/** Point at undefined (NaN) coordinates. */
public static final Point3D UNDEFINED = new Point3D(Double.NaN, Double.NaN, Double.NaN);
/** Serializable UID. */
private static final long serialVersionUID = 9128130934224884451L;
/** Simple constructor.
* Build a vector from its coordinates
* @param x abscissa
* @param y ordinate
* @param z height
* @see #getX()
* @see #getY()
* @see #getZ()
*/
public Point3D(final double x, final double y, final double z) {
super(x, y, z);
}
/** Simple constructor.
* Build a vector from its azimuthal coordinates
* @param alpha azimuth (&alpha;) around Z
* (0 is +X, &pi;/2 is +Y, &pi; is -X and 3&pi;/2 is -Y)
* @param delta elevation (&delta;) above (XY) plane, from -&pi;/2 to +&pi;/2
* @see #getAlpha()
* @see #getDelta()
*/
public Point3D(final double alpha, final double delta) {
super(alpha, delta);
}
/** Multiplicative constructor
* Build a vector from another one and a scale factor.
* The vector built will be a * u
* @param a scale factor
* @param u base (unscaled) vector
*/
public Point3D(final double a, final Vector3D u) {
super(a, u);
}
/** Linear constructor
* Build a vector from two other ones and corresponding scale factors.
* The vector built will be a1 * u1 + a2 * u2
* @param a1 first scale factor
* @param u1 first base (unscaled) vector
* @param a2 second scale factor
* @param u2 second base (unscaled) vector
*/
public Point3D(final double a1, final Vector3D u1, final double a2, final Vector3D u2) {
super(a1, u1, a2, u2);
}
/** Linear constructor
* Build a vector from three other ones and corresponding scale factors.
* The vector built will be a1 * u1 + a2 * u2 + a3 * u3
* @param a1 first scale factor
* @param u1 first base (unscaled) vector
* @param a2 second scale factor
* @param u2 second base (unscaled) vector
* @param a3 third scale factor
* @param u3 third base (unscaled) vector
*/
public Point3D(final double a1, final Vector3D u1, final double a2, final Vector3D u2,
final double a3, final Vector3D u3) {
super(a1, u1, a2, u2, a3, u3);
}
/** Linear constructor
* Build a vector from four other ones and corresponding scale factors.
* The vector built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4
* @param a1 first scale factor
* @param u1 first base (unscaled) vector
* @param a2 second scale factor
* @param u2 second base (unscaled) vector
* @param a3 third scale factor
* @param u3 third base (unscaled) vector
* @param a4 fourth scale factor
* @param u4 fourth base (unscaled) vector
*/
public Point3D(final double a1, final Vector3D u1, final double a2, final Vector3D u2,
final double a3, final Vector3D u3, final double a4, final Vector3D u4) {
super(a1, u1, a2, u2, a3, u3, a4, u4);
}
}

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184
src/main/java/org/apache/commons/math/geometry/euclidean/threed/Vector3DFormat.java
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@ -22,8 +22,10 @@ import java.text.NumberFormat;
import java.text.ParsePosition;
import java.util.Locale;
import org.apache.commons.math.util.CompositeFormat;
import org.apache.commons.math.exception.MathParseException;
import org.apache.commons.math.geometry.Vector;
import org.apache.commons.math.geometry.VectorFormat;
import org.apache.commons.math.util.CompositeFormat;
/**
* Formats a 3D vector in components list format "{x; y; z}".
@ -36,31 +38,9 @@ import org.apache.commons.math.exception.MathParseException;
* returned. In the second case, however, the parse position after parsing will be
* just after the closing curly brace, i.e. just before the trailing space.</p>
*
* @version $Revision$ $Date$
* @version $Id:$
*/
public class Vector3DFormat {
/** Serializable version identifier */
private static final long serialVersionUID = -5447606608652576301L;
/** The default prefix: "{". */
private static final String DEFAULT_PREFIX = "{";
/** The default suffix: "}". */
private static final String DEFAULT_SUFFIX = "}";
/** The default separator: ", ". */
private static final String DEFAULT_SEPARATOR = "; ";
/** Prefix. */
private final String prefix;
/** Suffix. */
private final String suffix;
/** Separator. */
private final String separator;
/** Trimmed prefix. */
private final String trimmedPrefix;
/** Trimmed suffix. */
private final String trimmedSuffix;
/** Trimmed separator. */
private final String trimmedSeparator;
/** The format used for components. */
private final NumberFormat format;
public class Vector3DFormat extends VectorFormat<Euclidean3D> {
/**
* Create an instance with default settings.
@ -68,8 +48,8 @@ public class Vector3DFormat {
* "{", "}", and "; " and the default number format for components.</p>
*/
public Vector3DFormat() {
this(DEFAULT_PREFIX, DEFAULT_SUFFIX, DEFAULT_SEPARATOR,
CompositeFormat.getDefaultNumberFormat());
super(DEFAULT_PREFIX, DEFAULT_SUFFIX, DEFAULT_SEPARATOR,
CompositeFormat.getDefaultNumberFormat());
}
/**
@ -77,7 +57,7 @@ public class Vector3DFormat {
* @param format the custom format for components.
*/
public Vector3DFormat(final NumberFormat format) {
this(DEFAULT_PREFIX, DEFAULT_SUFFIX, DEFAULT_SEPARATOR, format);
super(DEFAULT_PREFIX, DEFAULT_SUFFIX, DEFAULT_SEPARATOR, format);
}
/**
@ -87,8 +67,8 @@ public class Vector3DFormat {
* @param separator separator to use instead of the default "; "
*/
public Vector3DFormat(final String prefix, final String suffix,
final String separator) {
this(prefix, suffix, separator, CompositeFormat.getDefaultNumberFormat());
final String separator) {
super(prefix, suffix, separator, CompositeFormat.getDefaultNumberFormat());
}
/**
@ -100,55 +80,8 @@ public class Vector3DFormat {
* @param format the custom format for components.
*/
public Vector3DFormat(final String prefix, final String suffix,
final String separator, final NumberFormat format) {
this.prefix = prefix;
this.suffix = suffix;
this.separator = separator;
trimmedPrefix = prefix.trim();
trimmedSuffix = suffix.trim();
trimmedSeparator = separator.trim();
this.format = format;
}
/**
* Get the set of locales for which 3D vectors formats are available.
* <p>This is the same set as the {@link NumberFormat} set.</p>
* @return available 3D vector format locales.
*/
public static Locale[] getAvailableLocales() {
return NumberFormat.getAvailableLocales();
}
/**
* Get the format prefix.
* @return format prefix.
*/
public String getPrefix() {
return prefix;
}
/**
* Get the format suffix.
* @return format suffix.
*/
public String getSuffix() {
return suffix;
}
/**
* Get the format separator between components.
* @return format separator.
*/
public String getSeparator() {
return separator;
}
/**
* Get the components format.
* @return components format.
*/
public NumberFormat getFormat() {
return format;
final String separator, final NumberFormat format) {
super(prefix, suffix, separator, format);
}
/**
@ -168,16 +101,6 @@ public class Vector3DFormat {
return new Vector3DFormat(CompositeFormat.getDefaultNumberFormat(locale));
}
/**
* This method calls {@link #format(Vector3D,StringBuffer,FieldPosition)}.
*
* @param v Vector3D object to format.
* @return a formatted vector.
*/
public String format(Vector3D v) {
return format(v, new StringBuffer(), new FieldPosition(0)).toString();
}
/**
* Formats a {@link Vector3D} object to produce a string.
* @param vector the object to format.
@ -186,26 +109,10 @@ public class Vector3DFormat {
* offsets of the alignment field
* @return the value passed in as toAppendTo.
*/
public StringBuffer format(Vector3D vector, StringBuffer toAppendTo,
FieldPosition pos) {
pos.setBeginIndex(0);
pos.setEndIndex(0);
// format prefix
toAppendTo.append(prefix);
// format components
CompositeFormat.formatDouble(vector.getX(), format, toAppendTo, pos);
toAppendTo.append(separator);
CompositeFormat.formatDouble(vector.getY(), format, toAppendTo, pos);
toAppendTo.append(separator);
CompositeFormat.formatDouble(vector.getZ(), format, toAppendTo, pos);
// format suffix
toAppendTo.append(suffix);
return toAppendTo;
public StringBuffer format(final Vector<Euclidean3D> vector, final StringBuffer toAppendTo,
final FieldPosition pos) {
final Vector3D v3 = (Vector3D) vector;
return format(toAppendTo, pos, v3.getX(), v3.getY(), v3.getZ());
}
/**
@ -215,7 +122,7 @@ public class Vector3DFormat {
* @throws MathParseException if the beginning of the specified string
* cannot be parsed.
*/
public Vector3D parse(String source) {
public Vector3D parse(final String source) {
ParsePosition parsePosition = new ParsePosition(0);
Vector3D result = parse(source, parsePosition);
if (parsePosition.getIndex() == 0) {
@ -232,59 +139,12 @@ public class Vector3DFormat {
* @param pos input/ouput parsing parameter.
* @return the parsed {@link Vector3D} object.
*/
public Vector3D parse(String source, ParsePosition pos) {
int initialIndex = pos.getIndex();
// parse prefix
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
if (!CompositeFormat.parseFixedstring(source, trimmedPrefix, pos)) {
public Vector3D parse(final String source, final ParsePosition pos) {
final double[] coordinates = parseCoordinates(3, source, pos);
if (coordinates == null) {
return null;
}
// parse X component
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
Number x = CompositeFormat.parseNumber(source, format, pos);
if (x == null) {
// invalid abscissa
// set index back to initial, error index should already be set
pos.setIndex(initialIndex);
return null;
}
// parse Y component
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
if (!CompositeFormat.parseFixedstring(source, trimmedSeparator, pos)) {
return null;
}
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
Number y = CompositeFormat.parseNumber(source, format, pos);
if (y == null) {
// invalid ordinate
// set index back to initial, error index should already be set
pos.setIndex(initialIndex);
return null;
}
// parse Z component
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
if (!CompositeFormat.parseFixedstring(source, trimmedSeparator, pos)) {
return null;
}
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
Number z = CompositeFormat.parseNumber(source, format, pos);
if (z == null) {
// invalid height
// set index back to initial, error index should already be set
pos.setIndex(initialIndex);
return null;
}
// parse suffix
CompositeFormat.parseAndIgnoreWhitespace(source, pos);
if (!CompositeFormat.parseFixedstring(source, trimmedSuffix, pos)) {
return null;
}
return new Vector3D(x.doubleValue(), y.doubleValue(), z.doubleValue());
return new Vector3D(coordinates[0], coordinates[1], coordinates[2]);
}
}

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@ -0,0 +1,75 @@
/*
* 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.math.geometry.euclidean.twod;
import java.io.Serializable;
import org.apache.commons.math.geometry.Space;
import org.apache.commons.math.geometry.euclidean.oned.Euclidean1D;
/**
* This class implements a three-dimensional space.
* @version $Id:$
* @since 3.0
*/
public class Euclidean2D implements Serializable, Space {
/** Serializable version identifier. */
private static final long serialVersionUID = 4793432849757649566L;
/** Private constructor for the singleton.
*/
private Euclidean2D() {
}
/** Get the unique instance.
* @return the unique instance
*/
public static Euclidean2D getInstance() {
return LazyHolder.INSTANCE;
}
/** {@inheritDoc} */
public int getDimension() {
return 2;
}
/** {@inheritDoc} */
public Euclidean1D getSubSpace() {
return Euclidean1D.getInstance();
}
// CHECKSTYLE: stop HideUtilityClassConstructor
/** Holder for the instance.
* <p>We use here the Initialization On Demand Holder Idiom.</p>
*/
private static class LazyHolder {
/** Cached field instance. */
private static final Euclidean2D INSTANCE = new Euclidean2D();
}
// CHECKSTYLE: resume HideUtilityClassConstructor
/** Handle deserialization of the singleton.
* @return the singleton instance
*/
private Object readResolve() {
// return the singleton instance
return LazyHolder.INSTANCE;
}
}

72
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@ -1,72 +0,0 @@
/*
* 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.math.geometry.euclidean.twod;
import org.apache.commons.math.geometry.partitioning.Point;
import org.apache.commons.math.geometry.partitioning.SubSpace;
/** This class represents a 2D point.
* <p>Instances of this class are guaranteed to be immutable.</p>
* @version $Revision$ $Date$
*/
public class Point2D extends java.awt.geom.Point2D.Double implements Point, SubSpace {
/** Point at undefined (NaN) coordinates. */
public static final Point2D UNDEFINED = new Point2D(java.lang.Double.NaN, java.lang.Double.NaN);
/** Serializable UID. */
private static final long serialVersionUID = 8883702098988517151L;
/** Build a point with default coordinates.
*/
public Point2D() {
}
/** Build a point from its coordinates.
* @param x abscissa
* @param y ordinate
*/
public Point2D(final double x, final double y) {
super(x, y);
}
/** Build a point from a java awt point.
* @param point java awt point
*/
public Point2D(final java.awt.geom.Point2D.Double point) {
super(point.x, point.y);
}
/** Transform a 2D space point into a sub-space point.
* @param point 2D point of the space
* @return always return null
* @see #toSpace
*/
public Point toSubSpace(final Point point) {
return null;
}
/** Transform a sub-space point into a space point.
* @param point ignored parameter
* @return always return the instance
* @see #toSubSpace
*/
public Point toSpace(final Point point) {
return this;
}
}

346
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@ -0,0 +1,346 @@
/*
* 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.math.geometry.euclidean.twod;
import java.text.NumberFormat;
import org.apache.commons.math.geometry.Space;
import org.apache.commons.math.geometry.Vector;
import org.apache.commons.math.util.FastMath;
import org.apache.commons.math.util.MathUtils;
/** This class represents a 2D vector.
* <p>Instances of this class are guaranteed to be immutable.</p>
* @version $Id:$
* @since 3.0
*/
public class Vector2D implements Vector<Euclidean2D> {
/** Origin (coordinates: 0, 0). */
public static final Vector2D ZERO = new Vector2D(0, 0);
// CHECKSTYLE: stop ConstantName
/** A vector with all coordinates set to NaN. */
public static final Vector2D NaN = new Vector2D(Double.NaN, Double.NaN);
// CHECKSTYLE: resume ConstantName
/** A vector with all coordinates set to positive infinity. */
public static final Vector2D POSITIVE_INFINITY =
new Vector2D(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY);
/** A vector with all coordinates set to negative infinity. */
public static final Vector2D NEGATIVE_INFINITY =
new Vector2D(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY);
/** Serializable UID. */
private static final long serialVersionUID = 266938651998679754L;
/** Abscissa. */
private final double x;
/** Ordinate. */
private final double y;
/** Simple constructor.
* Build a vector from its coordinates
* @param x abscissa
* @param y ordinate
* @see #getX()
* @see #getY()
*/
public Vector2D(double x, double y) {
this.x = x;
this.y = y;
}
/** Multiplicative constructor
* Build a vector from another one and a scale factor.
* The vector built will be a * u
* @param a scale factor
* @param u base (unscaled) vector
*/
public Vector2D(double a, Vector2D u) {
this.x = a * u.x;
this.y = a * u.y;
}
/** Linear constructor
* Build a vector from two other ones and corresponding scale factors.
* The vector built will be a1 * u1 + a2 * u2
* @param a1 first scale factor
* @param u1 first base (unscaled) vector
* @param a2 second scale factor
* @param u2 second base (unscaled) vector
*/
public Vector2D(double a1, Vector2D u1, double a2, Vector2D u2) {
this.x = a1 * u1.x + a2 * u2.x;
this.y = a1 * u1.y + a2 * u2.y;
}
/** Linear constructor
* Build a vector from three other ones and corresponding scale factors.
* The vector built will be a1 * u1 + a2 * u2 + a3 * u3
* @param a1 first scale factor
* @param u1 first base (unscaled) vector
* @param a2 second scale factor
* @param u2 second base (unscaled) vector
* @param a3 third scale factor
* @param u3 third base (unscaled) vector
*/
public Vector2D(double a1, Vector2D u1, double a2, Vector2D u2,
double a3, Vector2D u3) {
this.x = a1 * u1.x + a2 * u2.x + a3 * u3.x;
this.y = a1 * u1.y + a2 * u2.y + a3 * u3.y;
}
/** Linear constructor
* Build a vector from four other ones and corresponding scale factors.
* The vector built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4
* @param a1 first scale factor
* @param u1 first base (unscaled) vector
* @param a2 second scale factor
* @param u2 second base (unscaled) vector
* @param a3 third scale factor
* @param u3 third base (unscaled) vector
* @param a4 fourth scale factor
* @param u4 fourth base (unscaled) vector
*/
public Vector2D(double a1, Vector2D u1, double a2, Vector2D u2,
double a3, Vector2D u3, double a4, Vector2D u4) {
this.x = a1 * u1.x + a2 * u2.x + a3 * u3.x + a4 * u4.x;
this.y = a1 * u1.y + a2 * u2.y + a3 * u3.y + a4 * u4.y;
}
/** Get the abscissa of the vector.
* @return abscissa of the vector
* @see #Vector2D(double, double)
*/
public double getX() {
return x;
}
/** Get the ordinate of the vector.
* @return ordinate of the vector
* @see #Vector2D(double, double)
*/
public double getY() {
return y;
}
/** {@inheritDoc} */
public Space getSpace() {
return Euclidean2D.getInstance();
}
/** {@inheritDoc} */
public Vector2D getZero() {
return ZERO;
}
/** {@inheritDoc} */
public Vector2D toVector() {
return new Vector2D(x, y);
}
/** {@inheritDoc} */
public double getNorm1() {
return FastMath.abs(x) + FastMath.abs(y);
}
/** {@inheritDoc} */
public double getNorm() {
return FastMath.sqrt (x * x + y * y);
}
/** {@inheritDoc} */
public double getNormSq() {
return x * x + y * y;
}
/** {@inheritDoc} */
public double getNormInf() {
return FastMath.max(FastMath.abs(x), FastMath.abs(y));
}
/** {@inheritDoc} */
public Vector2D add(Vector<Euclidean2D> v) {
Vector2D v2 = (Vector2D) v;
return new Vector2D(x + v2.getX(), y + v2.getY());
}
/** {@inheritDoc} */
public Vector2D add(double factor, Vector<Euclidean2D> v) {
Vector2D v2 = (Vector2D) v;
return new Vector2D(x + factor * v2.getX(), y + factor * v2.getY());
}
/** {@inheritDoc} */
public Vector2D subtract(Vector<Euclidean2D> p) {
Vector2D p3 = (Vector2D) p;
return new Vector2D(x - p3.x, y - p3.y);
}
/** {@inheritDoc} */
public Vector2D subtract(double factor, Vector<Euclidean2D> v) {
Vector2D v2 = (Vector2D) v;
return new Vector2D(x - factor * v2.getX(), y - factor * v2.getY());
}
/** {@inheritDoc} */
public boolean isNaN() {
return Double.isNaN(x) || Double.isNaN(y);
}
/** {@inheritDoc} */
public boolean isInfinite() {
return !isNaN() && (Double.isInfinite(x) || Double.isInfinite(y));
}
/** {@inheritDoc} */
public double distance1(Vector<Euclidean2D> p) {
Vector2D p3 = (Vector2D) p;
final double dx = FastMath.abs(p3.x - x);
final double dy = FastMath.abs(p3.y - y);
return dx + dy;
}
/** {@inheritDoc} */
public double distance(Vector<Euclidean2D> p) {
Vector2D p3 = (Vector2D) p;
final double dx = p3.x - x;
final double dy = p3.y - y;
return FastMath.sqrt(dx * dx + dy * dy);
}
/** {@inheritDoc} */
public double distanceInf(Vector<Euclidean2D> p) {
Vector2D p3 = (Vector2D) p;
final double dx = FastMath.abs(p3.x - x);
final double dy = FastMath.abs(p3.y - y);
return FastMath.max(dx, dy);
}
/** {@inheritDoc} */
public double distanceSq(Vector<Euclidean2D> p) {
Vector2D p3 = (Vector2D) p;
final double dx = p3.x - x;
final double dy = p3.y - y;
return dx * dx + dy * dy;
}
/** Compute the distance between two vectors according to the L<sub>2</sub> norm.
* <p>Calling this method is equivalent to calling:
* <code>p1.subtract(p2).getNorm()</code> except that no intermediate
* vector is built</p>
* @param p1 first vector
* @param p2 second vector
* @return the distance between p1 and p2 according to the L<sub>2</sub> norm
*/
public static double distance(Vector2D p1, Vector2D p2) {
return p1.distance(p2);
}
/** Compute the distance between two vectors according to the L<sub>&infin;</sub> norm.
* <p>Calling this method is equivalent to calling:
* <code>p1.subtract(p2).getNormInf()</code> except that no intermediate
* vector is built</p>
* @param p1 first vector
* @param p2 second vector
* @return the distance between p1 and p2 according to the L<sub>&infin;</sub> norm
*/
public static double distanceInf(Vector2D p1, Vector2D p2) {
return p1.distanceInf(p2);
}
/** Compute the square of the distance between two vectors.
* <p>Calling this method is equivalent to calling:
* <code>p1.subtract(p2).getNormSq()</code> except that no intermediate
* vector is built</p>
* @param p1 first vector
* @param p2 second vector
* @return the square of the distance between p1 and p2
*/
public static double distanceSq(Vector2D p1, Vector2D p2) {
return p1.distanceSq(p2);
}
/**
* Test for the equality of two 2D vectors.
* <p>
* If all coordinates of two 2D vectors are exactly the same, and none are
* <code>Double.NaN</code>, the two 2D vectors are considered to be equal.
* </p>
* <p>
* <code>NaN</code> coordinates are considered to affect globally the vector
* and be equals to each other - i.e, if either (or all) coordinates of the
* 2D vector are equal to <code>Double.NaN</code>, the 2D vector is equal to
* {@link #NaN}.
* </p>
*
* @param other Object to test for equality to this
* @return true if two 2D vector objects are equal, false if
* object is null, not an instance of Vector2D, or
* not equal to this Vector2D instance
*
*/
@Override
public boolean equals(Object other) {
if (this == other) {
return true;
}
if (other instanceof Vector2D) {
final Vector2D rhs = (Vector2D)other;
if (rhs.isNaN()) {
return this.isNaN();
}
return (x == rhs.x) && (y == rhs.y);
}
return false;
}
/**
* Get a hashCode for the 2D vector.
* <p>
* All NaN values have the same hash code.</p>
*
* @return a hash code value for this object
*/
@Override
public int hashCode() {
if (isNaN()) {
return 542;
}
return 122 * (76 * MathUtils.hash(x) + MathUtils.hash(y));
}
/** Get a string representation of this vector.
* @return a string representation of this vector
*/
@Override
public String toString() {
return Vector2DFormat.getInstance().format(this);
}
/** {@inheritDoc} */
public String toString(final NumberFormat format) {
return new Vector2DFormat(format).format(this);
}
}

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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.math.geometry.euclidean.twod;
import java.text.FieldPosition;
import java.text.NumberFormat;
import java.text.ParsePosition;
import java.util.Locale;
import org.apache.commons.math.exception.MathParseException;
import org.apache.commons.math.geometry.Vector;
import org.apache.commons.math.geometry.VectorFormat;
import org.apache.commons.math.util.CompositeFormat;
/**
* Formats a 2D vector in components list format "{x; y}".
* <p>The prefix and suffix "{" and "}" and the separator "; " can be replaced by
* any user-defined strings. The number format for components can be configured.</p>
* <p>White space is ignored at parse time, even if it is in the prefix, suffix
* or separator specifications. So even if the default separator does include a space
* character that is used at format time, both input string "{1;1}" and
* " { 1 ; 1 } " will be parsed without error and the same vector will be
* returned. In the second case, however, the parse position after parsing will be
* just after the closing curly brace, i.e. just before the trailing space.</p>
*
* @version $Id:$
* @since 3.0
*/
public class Vector2DFormat extends VectorFormat<Euclidean2D> {
/**
* Create an instance with default settings.
* <p>The instance uses the default prefix, suffix and separator:
* "{", "}", and "; " and the default number format for components.</p>
*/
public Vector2DFormat() {
super(DEFAULT_PREFIX, DEFAULT_SUFFIX, DEFAULT_SEPARATOR,
CompositeFormat.getDefaultNumberFormat());
}
/**
* Create an instance with a custom number format for components.
* @param format the custom format for components.
*/
public Vector2DFormat(final NumberFormat format) {
super(DEFAULT_PREFIX, DEFAULT_SUFFIX, DEFAULT_SEPARATOR, format);
}
/**
* Create an instance with custom prefix, suffix and separator.
* @param prefix prefix to use instead of the default "{"
* @param suffix suffix to use instead of the default "}"
* @param separator separator to use instead of the default "; "
*/
public Vector2DFormat(final String prefix, final String suffix,
final String separator) {
super(prefix, suffix, separator, CompositeFormat.getDefaultNumberFormat());
}
/**
* Create an instance with custom prefix, suffix, separator and format
* for components.
* @param prefix prefix to use instead of the default "{"
* @param suffix suffix to use instead of the default "}"
* @param separator separator to use instead of the default "; "
* @param format the custom format for components.
*/
public Vector2DFormat(final String prefix, final String suffix,
final String separator, final NumberFormat format) {
super(prefix, suffix, separator, format);
}
/**
* Returns the default 2D vector format for the current locale.
* @return the default 2D vector format.
*/
public static Vector2DFormat getInstance() {
return getInstance(Locale.getDefault());
}
/**
* Returns the default 2D vector format for the given locale.
* @param locale the specific locale used by the format.
* @return the 2D vector format specific to the given locale.
*/
public static Vector2DFormat getInstance(final Locale locale) {
return new Vector2DFormat(CompositeFormat.getDefaultNumberFormat(locale));
}
/** {@inheritDoc} */
public StringBuffer format(final Vector<Euclidean2D> vector, final StringBuffer toAppendTo,
final FieldPosition pos) {
final Vector2D p2 = (Vector2D) vector;
return format(toAppendTo, pos, p2.getX(), p2.getY());
}
/** {@inheritDoc} */
public Vector2D parse(final String source) {
ParsePosition parsePosition = new ParsePosition(0);
Vector2D result = parse(source, parsePosition);
if (parsePosition.getIndex() == 0) {
throw new MathParseException(source,
parsePosition.getErrorIndex(),
Vector2D.class);
}
return result;
}
/** {@inheritDoc} */
public Vector2D parse(final String source, final ParsePosition pos) {
final double[] coordinates = parseCoordinates(2, source, pos);
if (coordinates == null) {
return null;
}
return new Vector2D(coordinates[0], coordinates[1]);
}
}

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<html>
<!--
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.
-->
<!-- $Revision$ -->
<body>
<p>
This package is the top level package for geometry. It provides only a few interfaces
related to vectorial/affine spaces that are implemented in sub-packages.
</p>
</body>
</html>

62
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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.math.geometry.partitioning;
import org.apache.commons.math.geometry.Vector;
import org.apache.commons.math.geometry.Space;
/** This interface defines mappers between a space and one of its sub-spaces.
* <p>Sub-spaces are the lower dimensions subsets of a n-dimensions
* space. The (n-1)-dimension sub-spaces are specific sub-spaces known
* as {@link Hyperplane hyperplanes}. This interface can be used regardless
* of the dimensions differences. As an example, {@link
* org.apache.commons.math.geometry.euclidean.threed.Line Line} in 3D
* implements Embedding<{@link
* org.apache.commons.math.geometry.euclidean.threed.Vector3D Vector3D}, {link
* org.apache.commons.math.geometry.euclidean.oned.Vector1D Vector1D>, i.e. it
* maps directly dimensions 3 and 1.</p>
* <p>In the 3D euclidean space, hyperplanes are 2D planes, and the 1D
* sub-spaces are lines.</p>
* @param <S> Type of the embedding space.
* @param <T> Type of the embedded sub-space.
* @see Hyperplane
* @version $Id:$
* @since 3.0
*/
public interface Embedding<S extends Space, T extends Space> {
/** Transform a space point into a sub-space point.
* @param point n-dimension point of the space
* @return (n-1)-dimension point of the sub-space corresponding to
* the specified space point
* @see #toSpace
*/
Vector<T> toSubSpace(Vector<S> point);
/** Transform a sub-space point into a space point.
* @param point (n-1)-dimension point of the sub-space
* @return n-dimension point of the space corresponding to the
* specified sub-space point
* @see #toSubSpace
*/
Vector<S> toSpace(Vector<T> point);
}

3
src/site/xdoc/changes.xml
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@ -52,6 +52,9 @@ The <action> type attribute can be add,update,fix,remove.
If the output is not quite correct, check for invisible trailing spaces!
-->
<release version="3.0" date="TBD" description="TBD">
<action dev="luc" type="add">
Added a consistent classes hierarchy for Euclidean spaces in dimension 1, 2 and 3.
</action>
<action dev="luc" type="fix" issue="MATH-579">
Improved javadoc for FastMath explaining the overhead at class loading and
the targeted use cases.