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+/*
+ * Copyright 1997-2008 Sun Microsystems, Inc. All Rights Reserved.
+ * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
+ *
+ * This code is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License version 2 only, as
+ * published by the Free Software Foundation. Sun designates this
+ * particular file as subject to the "Classpath" exception as provided
+ * by Sun in the LICENSE file that accompanied this code.
+ *
+ * This code is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+ * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ * version 2 for more details (a copy is included in the LICENSE file that
+ * accompanied this code).
+ *
+ * You should have received a copy of the GNU General Public License version
+ * 2 along with this work; if not, write to the Free Software Foundation,
+ * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
+ *
+ * Please contact Sun Microsystems, Inc., 4150 Network Circle, Santa Clara,
+ * CA 95054 USA or visit www.sun.com if you need additional information or
+ * have any questions.
+ *
+ */
+
+package org.jogamp.vecmath;
+
+
+/**
+ * A double precision, general, dynamically-resizable,
+ * one-dimensional vector class. Index numbering begins with zero.
+ */
+
+public class GVector implements java.io.Serializable, Cloneable {
+
+ private int length;
+ double[] values;
+
+ // Compatible with 1.1
+ static final long serialVersionUID = 1398850036893875112L;
+
+ /**
+ * Constructs a new GVector of the specified
+ * length with all vector elements initialized to 0.
+ * @param length the number of elements in this GVector.
+ */
+ public GVector(int length)
+ {
+ int i;
+
+ this.length = length;
+ values = new double[length];
+ for(i = 0; i < length; i++) values[i] = 0.0;
+ }
+
+ /**
+ * Constructs a new GVector from the specified array elements.
+ * The length of this GVector is set to the length of the
+ * specified array. The array elements are copied into this new
+ * GVector.
+ * @param vector the values for the new GVector.
+ */
+ public GVector(double[] vector)
+ {
+ int i;
+
+ length = vector.length;
+ values = new double[vector.length];
+ for(i = 0; i < length; i++) values[i] = vector[i];
+ }
+
+ /**
+ * Constructs a new GVector from the specified vector.
+ * The vector elements are copied into this new GVector.
+ * @param vector the source GVector for this new GVector.
+ */
+ public GVector(GVector vector)
+ {
+ int i;
+
+ values = new double[vector.length];
+ length = vector.length;
+ for(i = 0; i < length; i++) values[i] = vector.values[i];
+ }
+
+ /**
+ * Constructs a new GVector and copies the initial values
+ * from the specified tuple.
+ * @param tuple the source for the new GVector's initial values
+ */
+ public GVector(Tuple2f tuple)
+ {
+ values = new double[2];
+ values[0] = (double)tuple.x;
+ values[1] = (double)tuple.y;
+ length = 2;
+ }
+
+ /**
+ * Constructs a new GVector and copies the initial values
+ * from the specified tuple.
+ * @param tuple the source for the new GVector's initial values
+ */
+ public GVector(Tuple3f tuple)
+ {
+ values = new double[3];
+ values[0] = (double)tuple.x;
+ values[1] = (double)tuple.y;
+ values[2] = (double)tuple.z;
+ length = 3;
+ }
+
+ /**
+ * Constructs a new GVector and copies the initial values
+ * from the specified tuple.
+ * @param tuple the source for the new GVector's initial values
+ */
+ public GVector(Tuple3d tuple)
+ {
+ values = new double[3];
+ values[0] = tuple.x;
+ values[1] = tuple.y;
+ values[2] = tuple.z;
+ length = 3;
+ }
+
+ /**
+ * Constructs a new GVector and copies the initial values
+ * from the specified tuple.
+ * @param tuple the source for the new GVector's initial values
+ */
+ public GVector(Tuple4f tuple)
+ {
+ values = new double[4];
+ values[0] = (double)tuple.x;
+ values[1] = (double)tuple.y;
+ values[2] = (double)tuple.z;
+ values[3] = (double)tuple.w;
+ length = 4;
+ }
+
+ /**
+ * Constructs a new GVector and copies the initial values
+ * from the specified tuple.
+ * @param tuple the source for the new GVector's initial values
+ */
+ public GVector(Tuple4d tuple)
+ {
+ values = new double[4];
+ values[0] = tuple.x;
+ values[1] = tuple.y;
+ values[2] = tuple.z;
+ values[3] = tuple.w;
+ length = 4;
+ }
+
+ /**
+ * Constructs a new GVector of the specified length and
+ * initializes it by copying the specified number of elements from
+ * the specified array. The array must contain at least
+ * <code>length</code> elements (i.e., <code>vector.length</code> >=
+ * <code>length</code>. The length of this new GVector is set to
+ * the specified length.
+ * @param vector The array from which the values will be copied.
+ * @param length The number of values copied from the array.
+ */
+ public GVector(double vector[], int length) {
+ int i;
+
+ this.length = length;
+ values = new double [length];
+ for(i=0;i<length;i++) {
+ values[i] = vector[i];
+ }
+ }
+
+ /**
+ * Returns the square root of the sum of the squares of this
+ * vector (its length in n-dimensional space).
+ * @return length of this vector
+ */
+
+ public final double norm()
+ {
+ double sq = 0.0;
+ int i;
+
+ for(i=0;i<length;i++) {
+ sq += values[i]*values[i];
+ }
+
+ return(Math.sqrt(sq));
+
+ }
+
+ /**
+ * Returns the sum of the squares of this
+ * vector (its length squared in n-dimensional space).
+ * @return length squared of this vector
+ */
+ public final double normSquared()
+ {
+ double sq = 0.0;
+ int i;
+
+ for(i=0;i<length;i++) {
+ sq += values[i]*values[i];
+ }
+
+ return(sq);
+ }
+
+ /**
+ * Sets the value of this vector to the normalization of vector v1.
+ * @param v1 the un-normalized vector
+ */
+ public final void normalize(GVector v1)
+ {
+ double sq = 0.0;
+ int i;
+
+ if( length != v1.length)
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector0"));
+
+ for(i=0;i<length;i++) {
+ sq += v1.values[i]*v1.values[i];
+ }
+
+ double invMag;
+ invMag = 1.0/Math.sqrt(sq);
+
+ for(i=0;i<length;i++) {
+ values[i] = v1.values[i]*invMag;
+ }
+ }
+
+
+ /**
+ * Normalizes this vector in place.
+ */
+ public final void normalize()
+ {
+ double sq = 0.0;
+ int i;
+
+ for(i=0;i<length;i++) {
+ sq += values[i]*values[i];
+ }
+
+ double invMag;
+ invMag = 1.0/Math.sqrt(sq);
+
+ for(i=0;i<length;i++) {
+ values[i] = values[i]*invMag;
+ }
+
+ }
+
+ /**
+ * Sets the value of this vector to the scalar multiplication
+ * of the scale factor with the vector v1.
+ * @param s the scalar value
+ * @param v1 the source vector
+ */
+ public final void scale(double s, GVector v1)
+ {
+ int i;
+ if( length != v1.length)
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector1"));
+
+ for(i=0;i<length;i++) {
+ values[i] = v1.values[i]*s;
+ }
+ }
+
+ /**
+ * Scales this vector by the scale factor s.
+ * @param s the scalar value
+ */
+ public final void scale(double s)
+ {
+ int i;
+
+ for(i=0;i<length;i++) {
+ values[i] = values[i]*s;
+ }
+ }
+
+ /**
+ * Sets the value of this vector to the scalar multiplication by s
+ * of vector v1 plus vector v2 (this = s*v1 + v2).
+ * @param s the scalar value
+ * @param v1 the vector to be multiplied
+ * @param v2 the vector to be added
+ */
+ public final void scaleAdd(double s, GVector v1, GVector v2)
+ {
+
+ int i;
+
+ if( v2.length != v1.length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector2"));
+
+ if( length != v1.length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector3"));
+
+ for(i=0;i<length;i++) {
+ values[i] = v1.values[i]*s + v2.values[i];
+ }
+ }
+
+ /**
+ * Sets the value of this vector to sum of itself and the specified
+ * vector
+ * @param vector the second vector
+ */
+ public final void add(GVector vector)
+ {
+ int i;
+
+ if( length != vector.length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector4"));
+
+ for(i = 0; i < length; i++) {
+ this.values[i] += vector.values[i];
+ }
+ }
+
+ /**
+ * Sets the value of this vector to the vector sum of vectors vector1
+ * and vector2.
+ * @param vector1 the first vector
+ * @param vector2 the second vector
+ */
+ public final void add(GVector vector1, GVector vector2)
+ {
+ int i;
+
+ if( vector1.length != vector2.length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector5"));
+
+ if( length != vector1.length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector6"));
+
+ for(i = 0; i < length; i++)
+ this.values[i] = vector1.values[i] + vector2.values[i];
+ }
+
+ /**
+ * Sets the value of this vector to the vector difference of itself
+ * and vector (this = this - vector).
+ * @param vector the other vector
+ */
+ public final void sub(GVector vector)
+ {
+ int i;
+
+ if( length != vector.length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector7"));
+
+ for(i = 0; i < length; i++) {
+ this.values[i] -= vector.values[i];
+ }
+ }
+
+ /**
+ * Sets the value of this vector to the vector difference
+ * of vectors vector1 and vector2 (this = vector1 - vector2).
+ * @param vector1 the first vector
+ * @param vector2 the second vector
+ */
+ public final void sub(GVector vector1, GVector vector2)
+ {
+ int i,l;
+
+
+ if( vector1.length != vector2.length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector8"));
+
+ if( length != vector1.length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector9"));
+
+ for(i = 0; i < length; i++)
+ this.values[i] = vector1.values[i] - vector2.values[i];
+ }
+
+ /**
+ * Multiplies matrix m1 times Vector v1 and places the result
+ * into this vector (this = m1*v1).
+ * @param m1 The matrix in the multiplication
+ * @param v1 The vector that is multiplied
+ */
+ public final void mul(GMatrix m1, GVector v1) {
+ if (m1.getNumCol() != v1.length)
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector10"));
+
+ if (length != m1.getNumRow())
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector11"));
+
+ double v[];
+ if (v1 != this) {
+ v = v1.values;
+ } else {
+ v = (double []) values.clone();
+ }
+
+ for(int j=length-1; j>=0; j--){
+ values[j] = 0.0;
+ for(int i=v1.length-1;i>=0; i--){
+ values[j] += m1.values[j][i] * v[i];
+ }
+ }
+ }
+
+ /**
+ * Multiplies the transpose of vector v1 (ie, v1 becomes a row
+ * vector with respect to the multiplication) times matrix m1
+ * and places the result into this vector
+ * (this = transpose(v1)*m1). The result is technically a
+ * row vector, but the GVector class only knows about column
+ * vectors, and so the result is stored as a column vector.
+ * @param m1 The matrix in the multiplication
+ * @param v1 The vector that is temporarily transposed
+ */
+ public final void mul(GVector v1, GMatrix m1) {
+ if (m1.getNumRow() != v1.length)
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector12"));
+
+ if (length != m1.getNumCol())
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector13"));
+
+ double v[];
+ if (v1 != this) {
+ v = v1.values;
+ } else {
+ v = (double []) values.clone();
+ }
+
+ for (int j=length-1; j>=0; j--){
+ values[j] = 0.0;
+ for(int i=v1.length-1; i>=0; i--){
+ values[j] += m1.values[i][j] * v[i];
+ }
+ }
+ }
+
+ /**
+ * Negates the value of this vector: this = -this.
+ */
+ public final void negate() {
+ for(int i=length-1; i>=0; i--) {
+ this.values[i] *= -1.0;
+ }
+ }
+
+ /**
+ * Sets all the values in this vector to zero.
+ */
+ public final void zero() {
+ for (int i=0; i < this.length; i++) {
+ this.values[i] = 0.0;
+ }
+ }
+
+ /**
+ * Changes the size of this vector dynamically. If the size is increased
+ * no data values will be lost. If the size is decreased, only those data
+ * values whose vector positions were eliminated will be lost.
+ * @param length number of desired elements in this vector
+ */
+ public final void setSize(int length) {
+ double[] tmp = new double[length];
+ int i,max;
+
+ if( this.length < length)
+ max = this.length;
+ else
+ max = length;
+
+ for(i=0;i<max;i++) {
+ tmp[i] = values[i];
+ }
+ this.length = length;
+
+ values = tmp;
+
+ }
+
+ /**
+ * Sets the value of this vector to the values found in the array
+ * parameter. The array should be at least equal in length to
+ * the number of elements in the vector.
+ * @param vector the source array
+ */
+ public final void set(double[] vector) {
+ for(int i = length-1; i >=0; i--)
+ values[i] = vector[i];
+ }
+
+ /**
+ * Sets the value of this vector to the values found in vector vector.
+ * @param vector the source vector
+ */
+ public final void set(GVector vector) {
+ int i;
+
+ if (length < vector.length) {
+ length = vector.length;
+ values = new double[length];
+ for(i = 0; i < length; i++)
+ values[i] = vector.values[i];
+ }else {
+ for(i = 0; i < vector.length; i++)
+ values[i] = vector.values[i];
+ for(i = vector.length; i < length; i++)
+ values[i] = 0.0;
+ }
+ }
+
+ /**
+ * Sets the value of this vector to the values in tuple
+ * @param tuple the source for the new GVector's new values
+ */
+ public final void set(Tuple2f tuple)
+ {
+ if (length < 2) {
+ length = 2;
+ values = new double[2];
+ }
+ values[0] = (double)tuple.x;
+ values[1] = (double)tuple.y;
+ for(int i = 2; i < length; i++) values[i] = 0.0;
+
+ }
+
+ /**
+ * Sets the value of this vector to the values in tuple
+ * @param tuple the source for the new GVector's new values
+ */
+ public final void set(Tuple3f tuple)
+ {
+ if (length < 3) {
+ length = 3;
+ values = new double[3];
+ }
+ values[0] = (double)tuple.x;
+ values[1] = (double)tuple.y;
+ values[2] = (double)tuple.z;
+ for(int i = 3; i < length; i++) values[i] = 0.0;
+ }
+
+ /**
+ * Sets the value of this vector to the values in tuple
+ * @param tuple the source for the new GVector's new values
+ */
+ public final void set(Tuple3d tuple)
+ {
+ if (length < 3) {
+ length = 3;
+ values = new double[3];
+ }
+ values[0] = tuple.x;
+ values[1] = tuple.y;
+ values[2] = tuple.z;
+ for(int i = 3; i < length; i++) values[i] = 0.0;
+ }
+
+ /**
+ * Sets the value of this vector to the values in tuple
+ * @param tuple the source for the new GVector's new values
+ */
+ public final void set(Tuple4f tuple)
+ {
+ if (length < 4) {
+ length = 4;
+ values = new double[4];
+ }
+ values[0] = (double)tuple.x;
+ values[1] = (double)tuple.y;
+ values[2] = (double)tuple.z;
+ values[3] = (double)tuple.w;
+ for(int i = 4; i < length; i++) values[i] = 0.0;
+ }
+
+ /**
+ * Sets the value of this vector to the values in tuple
+ * @param tuple the source for the new GVector's new values
+ */
+ public final void set(Tuple4d tuple)
+ {
+ if (length < 4) {
+ length = 4;
+ values = new double[4];
+ }
+ values[0] = tuple.x;
+ values[1] = tuple.y;
+ values[2] = tuple.z;
+ values[3] = tuple.w;
+ for(int i = 4; i < length; i++) values[i] = 0.0;
+ }
+
+ /**
+ * Returns the number of elements in this vector.
+ * @return number of elements in this vector
+ */
+ public final int getSize()
+ {
+ return values.length;
+ }
+
+ /**
+ * Retrieves the value at the specified index value of this vector.
+ * @param index the index of the element to retrieve (zero indexed)
+ * @return the value at the indexed element
+ */
+ public final double getElement(int index)
+ {
+ return values[index];
+ }
+
+
+ /**
+ * Modifies the value at the specified index of this vector.
+ * @param index the index if the element to modify (zero indexed)
+ * @param value the new vector element value
+ */
+ public final void setElement(int index, double value)
+ {
+ values[index] = value;
+ }
+
+ /**
+ * Returns a string that contains the values of this GVector.
+ * @return the String representation
+ */
+ @Override
+ public String toString() {
+ StringBuffer buffer = new StringBuffer(length*8);
+
+ int i;
+
+ for(i=0;i<length;i++) {
+ buffer.append(values[i]).append(" ");
+ }
+
+ return buffer.toString();
+
+ }
+
+
+ /**
+ * Returns a hash code value based on the data values in this
+ * object. Two different GVector objects with identical data
+ * values (i.e., GVector.equals returns true) will return the
+ * same hash number. Two GVector objects with different data
+ * members may return the same hash value, although this is not
+ * likely.
+ * @return the integer hash code value
+ */
+ @Override
+ public int hashCode() {
+ long bits = 1L;
+
+ for (int i = 0; i < length; i++) {
+ bits = VecMathUtil.hashDoubleBits(bits, values[i]);
+ }
+
+ return VecMathUtil.hashFinish(bits);
+ }
+
+
+ /**
+ * Returns true if all of the data members of GVector vector1 are
+ * equal to the corresponding data members in this GVector.
+ * @param vector1 The vector with which the comparison is made.
+ * @return true or false
+ */
+ public boolean equals(GVector vector1)
+ {
+ try {
+ if( length != vector1.length) return false;
+
+ for(int i = 0;i<length;i++) {
+ if( values[i] != vector1.values[i]) return false;
+ }
+
+ return true;
+ }
+ catch (NullPointerException e2) { return false; }
+
+ }
+ /**
+ * Returns true if the Object o1 is of type GMatrix and all of the
+ * data members of o1 are equal to the corresponding data members in
+ * this GMatrix.
+ * @param o1 The object with which the comparison is made.
+ * @return true or false
+ */
+ @Override
+ public boolean equals(Object o1)
+ {
+ try {
+ GVector v2 = (GVector) o1;
+
+ if( length != v2.length) return false;
+
+ for(int i = 0;i<length;i++) {
+ if( values[i] != v2.values[i]) return false;
+ }
+ return true;
+ }
+ catch (ClassCastException e1) { return false; }
+ catch (NullPointerException e2) { return false; }
+
+ }
+
+ /**
+ * Returns true if the L-infinite distance between this vector
+ * and vector v1 is less than or equal to the epsilon parameter,
+ * otherwise returns false. The L-infinite
+ * distance is equal to
+ * MAX[abs(x1-x2), abs(y1-y2), . . . ].
+ * @param v1 The vector to be compared to this vector
+ * @param epsilon the threshold value
+ */
+ public boolean epsilonEquals(GVector v1, double epsilon)
+ {
+ double diff;
+
+ if( length != v1.length) return false;
+
+ for(int i = 0;i<length;i++) {
+ diff = values[i] - v1.values[i];
+ if( (diff<0?-diff:diff) > epsilon) return false;
+ }
+ return true;
+ }
+
+ /**
+ * Returns the dot product of this vector and vector v1.
+ * @param v1 the other vector
+ * @return the dot product of this and v1
+ */
+ public final double dot(GVector v1)
+ {
+ if( length != v1.length)
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector14"));
+
+ double result = 0.0;
+ for(int i = 0;i<length;i++) {
+ result += values[i] * v1.values[i];
+ }
+ return result;
+ }
+
+
+ /**
+ * Solves for x in Ax = b, where x is this vector (nx1), A is mxn,
+ * b is mx1, and A = U*W*transpose(V); U,W,V must
+ * be precomputed and can be found by taking the singular value
+ * decomposition (SVD) of A using the method SVD found in the
+ * GMatrix class.
+ * @param U The U matrix produced by the GMatrix method SVD
+ * @param W The W matrix produced by the GMatrix method SVD
+ * @param V The V matrix produced by the GMatrix method SVD
+ * @param b The b vector in the linear equation Ax = b
+ */
+ public final void SVDBackSolve(GMatrix U, GMatrix W, GMatrix V, GVector b)
+ {
+ if( !(U.nRow == b.getSize() &&
+ U.nRow == U.nCol &&
+ U.nRow == W.nRow ) ) {
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector15"));
+ }
+
+ if( !(W.nCol == values.length &&
+ W.nCol == V.nCol &&
+ W.nCol == V.nRow ) ) {
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector23"));
+ }
+
+ GMatrix tmp = new GMatrix( U.nRow, W.nCol);
+ tmp.mul( U, V);
+ tmp.mulTransposeRight( U, W);
+ tmp.invert();
+ mul(tmp, b);
+
+ }
+
+ /**
+ * LU Decomposition Back Solve; this method takes the LU matrix
+ * and the permutation vector produced by the GMatrix method LUD
+ * and solves the equation (LU)*x = b by placing the solution vector
+ * x into this vector. This vector should be the same length or
+ * longer than b.
+ * @param LU The matrix into which the lower and upper decompostions
+ * have been placed
+ * @param b The b vector in the equation (LU)*x = b
+ * @param permutation The row permuations that were necessary to
+ * produce the LU matrix parameter
+ */
+ public final void LUDBackSolve(GMatrix LU, GVector b, GVector permutation)
+ {
+ int size = LU.nRow*LU.nCol;
+
+ double[] temp = new double[size];
+ double[] result = new double[size];
+ int[] row_perm = new int[b.getSize()];
+ int i,j;
+
+ if( LU.nRow != b.getSize() ) {
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector16"));
+ }
+
+ if( LU.nRow != permutation.getSize() ) {
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector24"));
+ }
+
+ if (LU.nRow != LU.nCol) {
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector25"));
+ }
+
+ for(i=0;i<LU.nRow;i++) {
+ for(j=0;j<LU.nCol;j++) {
+ temp[i*LU.nCol+j] = LU.values[i][j];
+ }
+ }
+
+ for(i=0;i<size;i++) result[i] = 0.0;
+ for(i=0;i<LU.nRow;i++) result[i*LU.nCol] = b.values[i];
+ for(i=0;i<LU.nCol;i++) row_perm[i] = (int)permutation.values[i];
+
+ GMatrix.luBacksubstitution(LU.nRow, temp, row_perm, result);
+
+ for(i=0;i<LU.nRow;i++) this.values[i] = result[i*LU.nCol];
+ }
+
+ /**
+ * Returns the (n-space) angle in radians between this vector and
+ * the vector parameter; the return value is constrained to the
+ * range [0,PI].
+ * @param v1 The other vector
+ * @return The angle in radians in the range [0,PI]
+ */
+ public final double angle(GVector v1)
+ {
+ return( Math.acos( this.dot(v1) / ( this.norm()*v1.norm() ) ) );
+ }
+
+
+ /**
+ * @deprecated Use interpolate(GVector, GVector, double) instead
+ */
+ public final void interpolate(GVector v1, GVector v2, float alpha) {
+ interpolate(v1, v2, (double)alpha);
+ }
+
+
+ /**
+ * @deprecated Use interpolate(GVector, double) instead
+ */
+ public final void interpolate(GVector v1, float alpha) {
+ interpolate(v1, (double)alpha);
+ }
+
+
+ /**
+ * Linearly interpolates between vectors v1 and v2 and places the
+ * result into this tuple: this = (1-alpha)*v1 + alpha*v2.
+ * @param v1 the first vector
+ * @param v2 the second vector
+ * @param alpha the alpha interpolation parameter
+ */
+ public final void interpolate(GVector v1, GVector v2, double alpha)
+ {
+ if( v2.length != v1.length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector20"));
+
+ if( length != v1.length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector21"));
+
+ for(int i=0;i<length;i++) {
+ values[i] = (1-alpha)*v1.values[i] + alpha*v2.values[i];
+ }
+ }
+
+ /**
+ * Linearly interpolates between this vector and vector v1 and
+ * places the result into this tuple: this = (1-alpha)*this + alpha*v1.
+ * @param v1 the first vector
+ * @param alpha the alpha interpolation parameter
+ */
+ public final void interpolate(GVector v1, double alpha)
+ {
+ if( v1.length != length )
+ throw new MismatchedSizeException(VecMathI18N.getString("GVector22"));
+
+ for(int i=0;i<length;i++) {
+ values[i] = (1-alpha)*values[i] + alpha*v1.values[i];
+ }
+ }
+
+ /**
+ * Creates a new object of the same class as this object.
+ *
+ * @return a clone of this instance.
+ * @exception OutOfMemoryError if there is not enough memory.
+ * @see java.lang.Cloneable
+ * @since vecmath 1.3
+ */
+ @Override
+ public Object clone() {
+ GVector v1 = null;
+ try {
+ v1 = (GVector)super.clone();
+ } catch (CloneNotSupportedException e) {
+ // this shouldn't happen, since we are Cloneable
+ throw new InternalError();
+ }
+
+ // Also need to clone array of values
+ v1.values = new double[length];
+ for (int i = 0; i < length; i++) {
+ v1.values[i] = values[i];
+ }
+
+ return v1;
+ }
+
+}