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A fast and easy to use dense matrix linear algebra library written in Java.
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/*
* Copyright (c) 2009-2014, Peter Abeles. All Rights Reserved.
*
* This file is part of Efficient Java Matrix Library (EJML).
*
* Licensed 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.ejml.alg.fixed;
import org.ejml.data.FixedMatrix6_64F;
import org.ejml.data.FixedMatrix6x6_64F;
/**
* Common matrix operations for fixed sized matrices which are 6 x 6 or 6 element vectors.
* DO NOT MODIFY. Automatically generated code created by GenerateFixedOps
*
* @author Peter Abeles
*/
public class FixedOps6 {
/**
* Performs the following operation:
*
* c = a + b
* cij = aij + bij
*
*
*
* Matrix C can be the same instance as Matrix A and/or B.
*
*
* @param a A Matrix. Not modified.
* @param b A Matrix. Not modified.
* @param c A Matrix where the results are stored. Modified.
*/
public static void add( FixedMatrix6x6_64F a , FixedMatrix6x6_64F b , FixedMatrix6x6_64F c ) {
c.a11 = a.a11 + b.a11;
c.a12 = a.a12 + b.a12;
c.a13 = a.a13 + b.a13;
c.a14 = a.a14 + b.a14;
c.a15 = a.a15 + b.a15;
c.a16 = a.a16 + b.a16;
c.a21 = a.a21 + b.a21;
c.a22 = a.a22 + b.a22;
c.a23 = a.a23 + b.a23;
c.a24 = a.a24 + b.a24;
c.a25 = a.a25 + b.a25;
c.a26 = a.a26 + b.a26;
c.a31 = a.a31 + b.a31;
c.a32 = a.a32 + b.a32;
c.a33 = a.a33 + b.a33;
c.a34 = a.a34 + b.a34;
c.a35 = a.a35 + b.a35;
c.a36 = a.a36 + b.a36;
c.a41 = a.a41 + b.a41;
c.a42 = a.a42 + b.a42;
c.a43 = a.a43 + b.a43;
c.a44 = a.a44 + b.a44;
c.a45 = a.a45 + b.a45;
c.a46 = a.a46 + b.a46;
c.a51 = a.a51 + b.a51;
c.a52 = a.a52 + b.a52;
c.a53 = a.a53 + b.a53;
c.a54 = a.a54 + b.a54;
c.a55 = a.a55 + b.a55;
c.a56 = a.a56 + b.a56;
c.a61 = a.a61 + b.a61;
c.a62 = a.a62 + b.a62;
c.a63 = a.a63 + b.a63;
c.a64 = a.a64 + b.a64;
c.a65 = a.a65 + b.a65;
c.a66 = a.a66 + b.a66;
}
/**
* Performs the following operation:
*
* a = a + b
* aij = aij + bij
*
*
* @param a A Matrix. Modified.
* @param b A Matrix. Not modified.
*/
public static void addEquals( FixedMatrix6x6_64F a , FixedMatrix6x6_64F b ) {
a.a11 += b.a11;
a.a12 += b.a12;
a.a13 += b.a13;
a.a14 += b.a14;
a.a15 += b.a15;
a.a16 += b.a16;
a.a21 += b.a21;
a.a22 += b.a22;
a.a23 += b.a23;
a.a24 += b.a24;
a.a25 += b.a25;
a.a26 += b.a26;
a.a31 += b.a31;
a.a32 += b.a32;
a.a33 += b.a33;
a.a34 += b.a34;
a.a35 += b.a35;
a.a36 += b.a36;
a.a41 += b.a41;
a.a42 += b.a42;
a.a43 += b.a43;
a.a44 += b.a44;
a.a45 += b.a45;
a.a46 += b.a46;
a.a51 += b.a51;
a.a52 += b.a52;
a.a53 += b.a53;
a.a54 += b.a54;
a.a55 += b.a55;
a.a56 += b.a56;
a.a61 += b.a61;
a.a62 += b.a62;
a.a63 += b.a63;
a.a64 += b.a64;
a.a65 += b.a65;
a.a66 += b.a66;
}
/**
* Performs an in-place transpose. This algorithm is only efficient for square
* matrices.
*
* @param m The matrix that is to be transposed. Modified.
*/
public static void transpose( FixedMatrix6x6_64F m ) {
double tmp;
tmp = m.a12; m.a12 = m.a21; m.a21 = tmp;
tmp = m.a13; m.a13 = m.a31; m.a31 = tmp;
tmp = m.a14; m.a14 = m.a41; m.a41 = tmp;
tmp = m.a15; m.a15 = m.a51; m.a51 = tmp;
tmp = m.a16; m.a16 = m.a61; m.a61 = tmp;
tmp = m.a23; m.a23 = m.a32; m.a32 = tmp;
tmp = m.a24; m.a24 = m.a42; m.a42 = tmp;
tmp = m.a25; m.a25 = m.a52; m.a52 = tmp;
tmp = m.a26; m.a26 = m.a62; m.a62 = tmp;
tmp = m.a34; m.a34 = m.a43; m.a43 = tmp;
tmp = m.a35; m.a35 = m.a53; m.a53 = tmp;
tmp = m.a36; m.a36 = m.a63; m.a63 = tmp;
tmp = m.a45; m.a45 = m.a54; m.a54 = tmp;
tmp = m.a46; m.a46 = m.a64; m.a64 = tmp;
tmp = m.a56; m.a56 = m.a65; m.a65 = tmp;
}
/**
*
* Transposes matrix 'a' and stores the results in 'b':
*
* bij = aji
* where 'b' is the transpose of 'a'.
*
*
* @param input The original matrix. Not modified.
* @param output Where the transpose is stored. If null a new matrix is created. Modified.
* @return The transposed matrix.
*/
public static FixedMatrix6x6_64F transpose( FixedMatrix6x6_64F input , FixedMatrix6x6_64F output ) {
if( input == null )
input = new FixedMatrix6x6_64F();
output.a11 = input.a11;
output.a12 = input.a21;
output.a13 = input.a31;
output.a14 = input.a41;
output.a15 = input.a51;
output.a16 = input.a61;
output.a21 = input.a12;
output.a22 = input.a22;
output.a23 = input.a32;
output.a24 = input.a42;
output.a25 = input.a52;
output.a26 = input.a62;
output.a31 = input.a13;
output.a32 = input.a23;
output.a33 = input.a33;
output.a34 = input.a43;
output.a35 = input.a53;
output.a36 = input.a63;
output.a41 = input.a14;
output.a42 = input.a24;
output.a43 = input.a34;
output.a44 = input.a44;
output.a45 = input.a54;
output.a46 = input.a64;
output.a51 = input.a15;
output.a52 = input.a25;
output.a53 = input.a35;
output.a54 = input.a45;
output.a55 = input.a55;
output.a56 = input.a65;
output.a61 = input.a16;
output.a62 = input.a26;
output.a63 = input.a36;
output.a64 = input.a46;
output.a65 = input.a56;
output.a66 = input.a66;
return output;
}
/**
* Performs the following operation:
*
* c = a * b
*
* cij = ∑k=1:n { aik * bkj}
*
*
* @param a The left matrix in the multiplication operation. Not modified.
* @param b The right matrix in the multiplication operation. Not modified.
* @param c Where the results of the operation are stored. Modified.
*/
public static void mult( FixedMatrix6x6_64F a , FixedMatrix6x6_64F b , FixedMatrix6x6_64F c) {
c.a11 = a.a11*b.a11 + a.a12*b.a21 + a.a13*b.a31 + a.a14*b.a41 + a.a15*b.a51 + a.a16*b.a61;
c.a12 = a.a11*b.a12 + a.a12*b.a22 + a.a13*b.a32 + a.a14*b.a42 + a.a15*b.a52 + a.a16*b.a62;
c.a13 = a.a11*b.a13 + a.a12*b.a23 + a.a13*b.a33 + a.a14*b.a43 + a.a15*b.a53 + a.a16*b.a63;
c.a14 = a.a11*b.a14 + a.a12*b.a24 + a.a13*b.a34 + a.a14*b.a44 + a.a15*b.a54 + a.a16*b.a64;
c.a15 = a.a11*b.a15 + a.a12*b.a25 + a.a13*b.a35 + a.a14*b.a45 + a.a15*b.a55 + a.a16*b.a65;
c.a16 = a.a11*b.a16 + a.a12*b.a26 + a.a13*b.a36 + a.a14*b.a46 + a.a15*b.a56 + a.a16*b.a66;
c.a21 = a.a21*b.a11 + a.a22*b.a21 + a.a23*b.a31 + a.a24*b.a41 + a.a25*b.a51 + a.a26*b.a61;
c.a22 = a.a21*b.a12 + a.a22*b.a22 + a.a23*b.a32 + a.a24*b.a42 + a.a25*b.a52 + a.a26*b.a62;
c.a23 = a.a21*b.a13 + a.a22*b.a23 + a.a23*b.a33 + a.a24*b.a43 + a.a25*b.a53 + a.a26*b.a63;
c.a24 = a.a21*b.a14 + a.a22*b.a24 + a.a23*b.a34 + a.a24*b.a44 + a.a25*b.a54 + a.a26*b.a64;
c.a25 = a.a21*b.a15 + a.a22*b.a25 + a.a23*b.a35 + a.a24*b.a45 + a.a25*b.a55 + a.a26*b.a65;
c.a26 = a.a21*b.a16 + a.a22*b.a26 + a.a23*b.a36 + a.a24*b.a46 + a.a25*b.a56 + a.a26*b.a66;
c.a31 = a.a31*b.a11 + a.a32*b.a21 + a.a33*b.a31 + a.a34*b.a41 + a.a35*b.a51 + a.a36*b.a61;
c.a32 = a.a31*b.a12 + a.a32*b.a22 + a.a33*b.a32 + a.a34*b.a42 + a.a35*b.a52 + a.a36*b.a62;
c.a33 = a.a31*b.a13 + a.a32*b.a23 + a.a33*b.a33 + a.a34*b.a43 + a.a35*b.a53 + a.a36*b.a63;
c.a34 = a.a31*b.a14 + a.a32*b.a24 + a.a33*b.a34 + a.a34*b.a44 + a.a35*b.a54 + a.a36*b.a64;
c.a35 = a.a31*b.a15 + a.a32*b.a25 + a.a33*b.a35 + a.a34*b.a45 + a.a35*b.a55 + a.a36*b.a65;
c.a36 = a.a31*b.a16 + a.a32*b.a26 + a.a33*b.a36 + a.a34*b.a46 + a.a35*b.a56 + a.a36*b.a66;
c.a41 = a.a41*b.a11 + a.a42*b.a21 + a.a43*b.a31 + a.a44*b.a41 + a.a45*b.a51 + a.a46*b.a61;
c.a42 = a.a41*b.a12 + a.a42*b.a22 + a.a43*b.a32 + a.a44*b.a42 + a.a45*b.a52 + a.a46*b.a62;
c.a43 = a.a41*b.a13 + a.a42*b.a23 + a.a43*b.a33 + a.a44*b.a43 + a.a45*b.a53 + a.a46*b.a63;
c.a44 = a.a41*b.a14 + a.a42*b.a24 + a.a43*b.a34 + a.a44*b.a44 + a.a45*b.a54 + a.a46*b.a64;
c.a45 = a.a41*b.a15 + a.a42*b.a25 + a.a43*b.a35 + a.a44*b.a45 + a.a45*b.a55 + a.a46*b.a65;
c.a46 = a.a41*b.a16 + a.a42*b.a26 + a.a43*b.a36 + a.a44*b.a46 + a.a45*b.a56 + a.a46*b.a66;
c.a51 = a.a51*b.a11 + a.a52*b.a21 + a.a53*b.a31 + a.a54*b.a41 + a.a55*b.a51 + a.a56*b.a61;
c.a52 = a.a51*b.a12 + a.a52*b.a22 + a.a53*b.a32 + a.a54*b.a42 + a.a55*b.a52 + a.a56*b.a62;
c.a53 = a.a51*b.a13 + a.a52*b.a23 + a.a53*b.a33 + a.a54*b.a43 + a.a55*b.a53 + a.a56*b.a63;
c.a54 = a.a51*b.a14 + a.a52*b.a24 + a.a53*b.a34 + a.a54*b.a44 + a.a55*b.a54 + a.a56*b.a64;
c.a55 = a.a51*b.a15 + a.a52*b.a25 + a.a53*b.a35 + a.a54*b.a45 + a.a55*b.a55 + a.a56*b.a65;
c.a56 = a.a51*b.a16 + a.a52*b.a26 + a.a53*b.a36 + a.a54*b.a46 + a.a55*b.a56 + a.a56*b.a66;
c.a61 = a.a61*b.a11 + a.a62*b.a21 + a.a63*b.a31 + a.a64*b.a41 + a.a65*b.a51 + a.a66*b.a61;
c.a62 = a.a61*b.a12 + a.a62*b.a22 + a.a63*b.a32 + a.a64*b.a42 + a.a65*b.a52 + a.a66*b.a62;
c.a63 = a.a61*b.a13 + a.a62*b.a23 + a.a63*b.a33 + a.a64*b.a43 + a.a65*b.a53 + a.a66*b.a63;
c.a64 = a.a61*b.a14 + a.a62*b.a24 + a.a63*b.a34 + a.a64*b.a44 + a.a65*b.a54 + a.a66*b.a64;
c.a65 = a.a61*b.a15 + a.a62*b.a25 + a.a63*b.a35 + a.a64*b.a45 + a.a65*b.a55 + a.a66*b.a65;
c.a66 = a.a61*b.a16 + a.a62*b.a26 + a.a63*b.a36 + a.a64*b.a46 + a.a65*b.a56 + a.a66*b.a66;
}
/**
* Performs the following operation:
*
* c = aT * b
*
* cij = ∑k=1:n { aki * bkj}
*
*
* @param a The left matrix in the multiplication operation. Not modified.
* @param b The right matrix in the multiplication operation. Not modified.
* @param c Where the results of the operation are stored. Modified.
*/
public static void multTransA( FixedMatrix6x6_64F a , FixedMatrix6x6_64F b , FixedMatrix6x6_64F c) {
c.a11 = a.a11*b.a11 + a.a21*b.a21 + a.a31*b.a31 + a.a41*b.a41 + a.a51*b.a51 + a.a61*b.a61;
c.a12 = a.a11*b.a12 + a.a21*b.a22 + a.a31*b.a32 + a.a41*b.a42 + a.a51*b.a52 + a.a61*b.a62;
c.a13 = a.a11*b.a13 + a.a21*b.a23 + a.a31*b.a33 + a.a41*b.a43 + a.a51*b.a53 + a.a61*b.a63;
c.a14 = a.a11*b.a14 + a.a21*b.a24 + a.a31*b.a34 + a.a41*b.a44 + a.a51*b.a54 + a.a61*b.a64;
c.a15 = a.a11*b.a15 + a.a21*b.a25 + a.a31*b.a35 + a.a41*b.a45 + a.a51*b.a55 + a.a61*b.a65;
c.a16 = a.a11*b.a16 + a.a21*b.a26 + a.a31*b.a36 + a.a41*b.a46 + a.a51*b.a56 + a.a61*b.a66;
c.a21 = a.a12*b.a11 + a.a22*b.a21 + a.a32*b.a31 + a.a42*b.a41 + a.a52*b.a51 + a.a62*b.a61;
c.a22 = a.a12*b.a12 + a.a22*b.a22 + a.a32*b.a32 + a.a42*b.a42 + a.a52*b.a52 + a.a62*b.a62;
c.a23 = a.a12*b.a13 + a.a22*b.a23 + a.a32*b.a33 + a.a42*b.a43 + a.a52*b.a53 + a.a62*b.a63;
c.a24 = a.a12*b.a14 + a.a22*b.a24 + a.a32*b.a34 + a.a42*b.a44 + a.a52*b.a54 + a.a62*b.a64;
c.a25 = a.a12*b.a15 + a.a22*b.a25 + a.a32*b.a35 + a.a42*b.a45 + a.a52*b.a55 + a.a62*b.a65;
c.a26 = a.a12*b.a16 + a.a22*b.a26 + a.a32*b.a36 + a.a42*b.a46 + a.a52*b.a56 + a.a62*b.a66;
c.a31 = a.a13*b.a11 + a.a23*b.a21 + a.a33*b.a31 + a.a43*b.a41 + a.a53*b.a51 + a.a63*b.a61;
c.a32 = a.a13*b.a12 + a.a23*b.a22 + a.a33*b.a32 + a.a43*b.a42 + a.a53*b.a52 + a.a63*b.a62;
c.a33 = a.a13*b.a13 + a.a23*b.a23 + a.a33*b.a33 + a.a43*b.a43 + a.a53*b.a53 + a.a63*b.a63;
c.a34 = a.a13*b.a14 + a.a23*b.a24 + a.a33*b.a34 + a.a43*b.a44 + a.a53*b.a54 + a.a63*b.a64;
c.a35 = a.a13*b.a15 + a.a23*b.a25 + a.a33*b.a35 + a.a43*b.a45 + a.a53*b.a55 + a.a63*b.a65;
c.a36 = a.a13*b.a16 + a.a23*b.a26 + a.a33*b.a36 + a.a43*b.a46 + a.a53*b.a56 + a.a63*b.a66;
c.a41 = a.a14*b.a11 + a.a24*b.a21 + a.a34*b.a31 + a.a44*b.a41 + a.a54*b.a51 + a.a64*b.a61;
c.a42 = a.a14*b.a12 + a.a24*b.a22 + a.a34*b.a32 + a.a44*b.a42 + a.a54*b.a52 + a.a64*b.a62;
c.a43 = a.a14*b.a13 + a.a24*b.a23 + a.a34*b.a33 + a.a44*b.a43 + a.a54*b.a53 + a.a64*b.a63;
c.a44 = a.a14*b.a14 + a.a24*b.a24 + a.a34*b.a34 + a.a44*b.a44 + a.a54*b.a54 + a.a64*b.a64;
c.a45 = a.a14*b.a15 + a.a24*b.a25 + a.a34*b.a35 + a.a44*b.a45 + a.a54*b.a55 + a.a64*b.a65;
c.a46 = a.a14*b.a16 + a.a24*b.a26 + a.a34*b.a36 + a.a44*b.a46 + a.a54*b.a56 + a.a64*b.a66;
c.a51 = a.a15*b.a11 + a.a25*b.a21 + a.a35*b.a31 + a.a45*b.a41 + a.a55*b.a51 + a.a65*b.a61;
c.a52 = a.a15*b.a12 + a.a25*b.a22 + a.a35*b.a32 + a.a45*b.a42 + a.a55*b.a52 + a.a65*b.a62;
c.a53 = a.a15*b.a13 + a.a25*b.a23 + a.a35*b.a33 + a.a45*b.a43 + a.a55*b.a53 + a.a65*b.a63;
c.a54 = a.a15*b.a14 + a.a25*b.a24 + a.a35*b.a34 + a.a45*b.a44 + a.a55*b.a54 + a.a65*b.a64;
c.a55 = a.a15*b.a15 + a.a25*b.a25 + a.a35*b.a35 + a.a45*b.a45 + a.a55*b.a55 + a.a65*b.a65;
c.a56 = a.a15*b.a16 + a.a25*b.a26 + a.a35*b.a36 + a.a45*b.a46 + a.a55*b.a56 + a.a65*b.a66;
c.a61 = a.a16*b.a11 + a.a26*b.a21 + a.a36*b.a31 + a.a46*b.a41 + a.a56*b.a51 + a.a66*b.a61;
c.a62 = a.a16*b.a12 + a.a26*b.a22 + a.a36*b.a32 + a.a46*b.a42 + a.a56*b.a52 + a.a66*b.a62;
c.a63 = a.a16*b.a13 + a.a26*b.a23 + a.a36*b.a33 + a.a46*b.a43 + a.a56*b.a53 + a.a66*b.a63;
c.a64 = a.a16*b.a14 + a.a26*b.a24 + a.a36*b.a34 + a.a46*b.a44 + a.a56*b.a54 + a.a66*b.a64;
c.a65 = a.a16*b.a15 + a.a26*b.a25 + a.a36*b.a35 + a.a46*b.a45 + a.a56*b.a55 + a.a66*b.a65;
c.a66 = a.a16*b.a16 + a.a26*b.a26 + a.a36*b.a36 + a.a46*b.a46 + a.a56*b.a56 + a.a66*b.a66;
}
/**
*
* Performs the following operation:
*
* c = aT * bT
* cij = ∑k=1:n { aki * bjk}
*
*
* @param a The left matrix in the multiplication operation. Not modified.
* @param b The right matrix in the multiplication operation. Not modified.
* @param c Where the results of the operation are stored. Modified.
*/
public static void multTransAB( FixedMatrix6x6_64F a , FixedMatrix6x6_64F b , FixedMatrix6x6_64F c) {
c.a11 = a.a11*b.a11 + a.a21*b.a12 + a.a31*b.a13 + a.a41*b.a14 + a.a51*b.a15 + a.a61*b.a16;
c.a12 = a.a11*b.a21 + a.a21*b.a22 + a.a31*b.a23 + a.a41*b.a24 + a.a51*b.a25 + a.a61*b.a26;
c.a13 = a.a11*b.a31 + a.a21*b.a32 + a.a31*b.a33 + a.a41*b.a34 + a.a51*b.a35 + a.a61*b.a36;
c.a14 = a.a11*b.a41 + a.a21*b.a42 + a.a31*b.a43 + a.a41*b.a44 + a.a51*b.a45 + a.a61*b.a46;
c.a15 = a.a11*b.a51 + a.a21*b.a52 + a.a31*b.a53 + a.a41*b.a54 + a.a51*b.a55 + a.a61*b.a56;
c.a16 = a.a11*b.a61 + a.a21*b.a62 + a.a31*b.a63 + a.a41*b.a64 + a.a51*b.a65 + a.a61*b.a66;
c.a21 = a.a12*b.a11 + a.a22*b.a12 + a.a32*b.a13 + a.a42*b.a14 + a.a52*b.a15 + a.a62*b.a16;
c.a22 = a.a12*b.a21 + a.a22*b.a22 + a.a32*b.a23 + a.a42*b.a24 + a.a52*b.a25 + a.a62*b.a26;
c.a23 = a.a12*b.a31 + a.a22*b.a32 + a.a32*b.a33 + a.a42*b.a34 + a.a52*b.a35 + a.a62*b.a36;
c.a24 = a.a12*b.a41 + a.a22*b.a42 + a.a32*b.a43 + a.a42*b.a44 + a.a52*b.a45 + a.a62*b.a46;
c.a25 = a.a12*b.a51 + a.a22*b.a52 + a.a32*b.a53 + a.a42*b.a54 + a.a52*b.a55 + a.a62*b.a56;
c.a26 = a.a12*b.a61 + a.a22*b.a62 + a.a32*b.a63 + a.a42*b.a64 + a.a52*b.a65 + a.a62*b.a66;
c.a31 = a.a13*b.a11 + a.a23*b.a12 + a.a33*b.a13 + a.a43*b.a14 + a.a53*b.a15 + a.a63*b.a16;
c.a32 = a.a13*b.a21 + a.a23*b.a22 + a.a33*b.a23 + a.a43*b.a24 + a.a53*b.a25 + a.a63*b.a26;
c.a33 = a.a13*b.a31 + a.a23*b.a32 + a.a33*b.a33 + a.a43*b.a34 + a.a53*b.a35 + a.a63*b.a36;
c.a34 = a.a13*b.a41 + a.a23*b.a42 + a.a33*b.a43 + a.a43*b.a44 + a.a53*b.a45 + a.a63*b.a46;
c.a35 = a.a13*b.a51 + a.a23*b.a52 + a.a33*b.a53 + a.a43*b.a54 + a.a53*b.a55 + a.a63*b.a56;
c.a36 = a.a13*b.a61 + a.a23*b.a62 + a.a33*b.a63 + a.a43*b.a64 + a.a53*b.a65 + a.a63*b.a66;
c.a41 = a.a14*b.a11 + a.a24*b.a12 + a.a34*b.a13 + a.a44*b.a14 + a.a54*b.a15 + a.a64*b.a16;
c.a42 = a.a14*b.a21 + a.a24*b.a22 + a.a34*b.a23 + a.a44*b.a24 + a.a54*b.a25 + a.a64*b.a26;
c.a43 = a.a14*b.a31 + a.a24*b.a32 + a.a34*b.a33 + a.a44*b.a34 + a.a54*b.a35 + a.a64*b.a36;
c.a44 = a.a14*b.a41 + a.a24*b.a42 + a.a34*b.a43 + a.a44*b.a44 + a.a54*b.a45 + a.a64*b.a46;
c.a45 = a.a14*b.a51 + a.a24*b.a52 + a.a34*b.a53 + a.a44*b.a54 + a.a54*b.a55 + a.a64*b.a56;
c.a46 = a.a14*b.a61 + a.a24*b.a62 + a.a34*b.a63 + a.a44*b.a64 + a.a54*b.a65 + a.a64*b.a66;
c.a51 = a.a15*b.a11 + a.a25*b.a12 + a.a35*b.a13 + a.a45*b.a14 + a.a55*b.a15 + a.a65*b.a16;
c.a52 = a.a15*b.a21 + a.a25*b.a22 + a.a35*b.a23 + a.a45*b.a24 + a.a55*b.a25 + a.a65*b.a26;
c.a53 = a.a15*b.a31 + a.a25*b.a32 + a.a35*b.a33 + a.a45*b.a34 + a.a55*b.a35 + a.a65*b.a36;
c.a54 = a.a15*b.a41 + a.a25*b.a42 + a.a35*b.a43 + a.a45*b.a44 + a.a55*b.a45 + a.a65*b.a46;
c.a55 = a.a15*b.a51 + a.a25*b.a52 + a.a35*b.a53 + a.a45*b.a54 + a.a55*b.a55 + a.a65*b.a56;
c.a56 = a.a15*b.a61 + a.a25*b.a62 + a.a35*b.a63 + a.a45*b.a64 + a.a55*b.a65 + a.a65*b.a66;
c.a61 = a.a16*b.a11 + a.a26*b.a12 + a.a36*b.a13 + a.a46*b.a14 + a.a56*b.a15 + a.a66*b.a16;
c.a62 = a.a16*b.a21 + a.a26*b.a22 + a.a36*b.a23 + a.a46*b.a24 + a.a56*b.a25 + a.a66*b.a26;
c.a63 = a.a16*b.a31 + a.a26*b.a32 + a.a36*b.a33 + a.a46*b.a34 + a.a56*b.a35 + a.a66*b.a36;
c.a64 = a.a16*b.a41 + a.a26*b.a42 + a.a36*b.a43 + a.a46*b.a44 + a.a56*b.a45 + a.a66*b.a46;
c.a65 = a.a16*b.a51 + a.a26*b.a52 + a.a36*b.a53 + a.a46*b.a54 + a.a56*b.a55 + a.a66*b.a56;
c.a66 = a.a16*b.a61 + a.a26*b.a62 + a.a36*b.a63 + a.a46*b.a64 + a.a56*b.a65 + a.a66*b.a66;
}
/**
*
* Performs the following operation:
*
* c = a * bT
* cij = ∑k=1:n { aik * bjk}
*
*
* @param a The left matrix in the multiplication operation. Not modified.
* @param b The right matrix in the multiplication operation. Not modified.
* @param c Where the results of the operation are stored. Modified.
*/
public static void multTransB( FixedMatrix6x6_64F a , FixedMatrix6x6_64F b , FixedMatrix6x6_64F c) {
c.a11 = a.a11*b.a11 + a.a12*b.a12 + a.a13*b.a13 + a.a14*b.a14 + a.a15*b.a15 + a.a16*b.a16;
c.a12 = a.a11*b.a21 + a.a12*b.a22 + a.a13*b.a23 + a.a14*b.a24 + a.a15*b.a25 + a.a16*b.a26;
c.a13 = a.a11*b.a31 + a.a12*b.a32 + a.a13*b.a33 + a.a14*b.a34 + a.a15*b.a35 + a.a16*b.a36;
c.a14 = a.a11*b.a41 + a.a12*b.a42 + a.a13*b.a43 + a.a14*b.a44 + a.a15*b.a45 + a.a16*b.a46;
c.a15 = a.a11*b.a51 + a.a12*b.a52 + a.a13*b.a53 + a.a14*b.a54 + a.a15*b.a55 + a.a16*b.a56;
c.a16 = a.a11*b.a61 + a.a12*b.a62 + a.a13*b.a63 + a.a14*b.a64 + a.a15*b.a65 + a.a16*b.a66;
c.a21 = a.a21*b.a11 + a.a22*b.a12 + a.a23*b.a13 + a.a24*b.a14 + a.a25*b.a15 + a.a26*b.a16;
c.a22 = a.a21*b.a21 + a.a22*b.a22 + a.a23*b.a23 + a.a24*b.a24 + a.a25*b.a25 + a.a26*b.a26;
c.a23 = a.a21*b.a31 + a.a22*b.a32 + a.a23*b.a33 + a.a24*b.a34 + a.a25*b.a35 + a.a26*b.a36;
c.a24 = a.a21*b.a41 + a.a22*b.a42 + a.a23*b.a43 + a.a24*b.a44 + a.a25*b.a45 + a.a26*b.a46;
c.a25 = a.a21*b.a51 + a.a22*b.a52 + a.a23*b.a53 + a.a24*b.a54 + a.a25*b.a55 + a.a26*b.a56;
c.a26 = a.a21*b.a61 + a.a22*b.a62 + a.a23*b.a63 + a.a24*b.a64 + a.a25*b.a65 + a.a26*b.a66;
c.a31 = a.a31*b.a11 + a.a32*b.a12 + a.a33*b.a13 + a.a34*b.a14 + a.a35*b.a15 + a.a36*b.a16;
c.a32 = a.a31*b.a21 + a.a32*b.a22 + a.a33*b.a23 + a.a34*b.a24 + a.a35*b.a25 + a.a36*b.a26;
c.a33 = a.a31*b.a31 + a.a32*b.a32 + a.a33*b.a33 + a.a34*b.a34 + a.a35*b.a35 + a.a36*b.a36;
c.a34 = a.a31*b.a41 + a.a32*b.a42 + a.a33*b.a43 + a.a34*b.a44 + a.a35*b.a45 + a.a36*b.a46;
c.a35 = a.a31*b.a51 + a.a32*b.a52 + a.a33*b.a53 + a.a34*b.a54 + a.a35*b.a55 + a.a36*b.a56;
c.a36 = a.a31*b.a61 + a.a32*b.a62 + a.a33*b.a63 + a.a34*b.a64 + a.a35*b.a65 + a.a36*b.a66;
c.a41 = a.a41*b.a11 + a.a42*b.a12 + a.a43*b.a13 + a.a44*b.a14 + a.a45*b.a15 + a.a46*b.a16;
c.a42 = a.a41*b.a21 + a.a42*b.a22 + a.a43*b.a23 + a.a44*b.a24 + a.a45*b.a25 + a.a46*b.a26;
c.a43 = a.a41*b.a31 + a.a42*b.a32 + a.a43*b.a33 + a.a44*b.a34 + a.a45*b.a35 + a.a46*b.a36;
c.a44 = a.a41*b.a41 + a.a42*b.a42 + a.a43*b.a43 + a.a44*b.a44 + a.a45*b.a45 + a.a46*b.a46;
c.a45 = a.a41*b.a51 + a.a42*b.a52 + a.a43*b.a53 + a.a44*b.a54 + a.a45*b.a55 + a.a46*b.a56;
c.a46 = a.a41*b.a61 + a.a42*b.a62 + a.a43*b.a63 + a.a44*b.a64 + a.a45*b.a65 + a.a46*b.a66;
c.a51 = a.a51*b.a11 + a.a52*b.a12 + a.a53*b.a13 + a.a54*b.a14 + a.a55*b.a15 + a.a56*b.a16;
c.a52 = a.a51*b.a21 + a.a52*b.a22 + a.a53*b.a23 + a.a54*b.a24 + a.a55*b.a25 + a.a56*b.a26;
c.a53 = a.a51*b.a31 + a.a52*b.a32 + a.a53*b.a33 + a.a54*b.a34 + a.a55*b.a35 + a.a56*b.a36;
c.a54 = a.a51*b.a41 + a.a52*b.a42 + a.a53*b.a43 + a.a54*b.a44 + a.a55*b.a45 + a.a56*b.a46;
c.a55 = a.a51*b.a51 + a.a52*b.a52 + a.a53*b.a53 + a.a54*b.a54 + a.a55*b.a55 + a.a56*b.a56;
c.a56 = a.a51*b.a61 + a.a52*b.a62 + a.a53*b.a63 + a.a54*b.a64 + a.a55*b.a65 + a.a56*b.a66;
c.a61 = a.a61*b.a11 + a.a62*b.a12 + a.a63*b.a13 + a.a64*b.a14 + a.a65*b.a15 + a.a66*b.a16;
c.a62 = a.a61*b.a21 + a.a62*b.a22 + a.a63*b.a23 + a.a64*b.a24 + a.a65*b.a25 + a.a66*b.a26;
c.a63 = a.a61*b.a31 + a.a62*b.a32 + a.a63*b.a33 + a.a64*b.a34 + a.a65*b.a35 + a.a66*b.a36;
c.a64 = a.a61*b.a41 + a.a62*b.a42 + a.a63*b.a43 + a.a64*b.a44 + a.a65*b.a45 + a.a66*b.a46;
c.a65 = a.a61*b.a51 + a.a62*b.a52 + a.a63*b.a53 + a.a64*b.a54 + a.a65*b.a55 + a.a66*b.a56;
c.a66 = a.a61*b.a61 + a.a62*b.a62 + a.a63*b.a63 + a.a64*b.a64 + a.a65*b.a65 + a.a66*b.a66;
}
/**
* Performs matrix to vector multiplication:
*
* c = a * b
*
* ci = ∑k=1:n { aik * bk}
*
*
* @param a The left matrix in the multiplication operation. Not modified.
* @param b The right vector in the multiplication operation. Not modified.
* @param c Where the results of the operation are stored. Modified.
*/
public static void mult( FixedMatrix6x6_64F a , FixedMatrix6_64F b , FixedMatrix6_64F c) {
c.a1 = a.a11*b.a1 + a.a12*b.a2 + a.a13*b.a3 + a.a14*b.a4 + a.a15*b.a5 + a.a16*b.a6;
c.a2 = a.a21*b.a1 + a.a22*b.a2 + a.a23*b.a3 + a.a24*b.a4 + a.a25*b.a5 + a.a26*b.a6;
c.a3 = a.a31*b.a1 + a.a32*b.a2 + a.a33*b.a3 + a.a34*b.a4 + a.a35*b.a5 + a.a36*b.a6;
c.a4 = a.a41*b.a1 + a.a42*b.a2 + a.a43*b.a3 + a.a44*b.a4 + a.a45*b.a5 + a.a46*b.a6;
c.a5 = a.a51*b.a1 + a.a52*b.a2 + a.a53*b.a3 + a.a54*b.a4 + a.a55*b.a5 + a.a56*b.a6;
c.a6 = a.a61*b.a1 + a.a62*b.a2 + a.a63*b.a3 + a.a64*b.a4 + a.a65*b.a5 + a.a66*b.a6;
}
/**
* Performs vector to matrix multiplication:
*
* c = a * b
*
* cj = ∑k=1:n { bk * akj }
*
*
* @param a The left vector in the multiplication operation. Not modified.
* @param b The right matrix in the multiplication operation. Not modified.
* @param c Where the results of the operation are stored. Modified.
*/
public static void mult( FixedMatrix6_64F a , FixedMatrix6x6_64F b , FixedMatrix6_64F c) {
c.a1 = a.a1*b.a11 + a.a2*b.a21 + a.a3*b.a31 + a.a4*b.a41 + a.a5*b.a51 + a.a6*b.a61;
c.a2 = a.a1*b.a12 + a.a2*b.a22 + a.a3*b.a32 + a.a4*b.a42 + a.a5*b.a52 + a.a6*b.a62;
c.a3 = a.a1*b.a13 + a.a2*b.a23 + a.a3*b.a33 + a.a4*b.a43 + a.a5*b.a53 + a.a6*b.a63;
c.a4 = a.a1*b.a14 + a.a2*b.a24 + a.a3*b.a34 + a.a4*b.a44 + a.a5*b.a54 + a.a6*b.a64;
c.a5 = a.a1*b.a15 + a.a2*b.a25 + a.a3*b.a35 + a.a4*b.a45 + a.a5*b.a55 + a.a6*b.a65;
c.a6 = a.a1*b.a16 + a.a2*b.a26 + a.a3*b.a36 + a.a4*b.a46 + a.a5*b.a56 + a.a6*b.a66;
}
/**
* Performs the vector dot product:
*
* c = a * b
*
* c> = ∑k=1:n { bk * ak }
*
*
* @param a The left vector in the multiplication operation. Not modified.
* @param b The right matrix in the multiplication operation. Not modified.
* @return The dot product
*/
public static double dot( FixedMatrix6_64F a , FixedMatrix6_64F b ) {
return a.a1*b.a1 + a.a2*b.a2 + a.a3*b.a3 + a.a4*b.a4 + a.a5*b.a5 + a.a6*b.a6;
}
/**
* Sets all the diagonal elements equal to one and everything else equal to zero.
* If this is a square matrix then it will be an identity matrix.
*
* @param a A matrix.
*/
public static void setIdentity( FixedMatrix6x6_64F a ) {
a.a11 = 1; a.a21 = 0; a.a31 = 0; a.a41 = 0; a.a51 = 0; a.a61 = 0;
a.a12 = 0; a.a22 = 1; a.a32 = 0; a.a42 = 0; a.a52 = 0; a.a62 = 0;
a.a13 = 0; a.a23 = 0; a.a33 = 1; a.a43 = 0; a.a53 = 0; a.a63 = 0;
a.a14 = 0; a.a24 = 0; a.a34 = 0; a.a44 = 1; a.a54 = 0; a.a64 = 0;
a.a15 = 0; a.a25 = 0; a.a35 = 0; a.a45 = 0; a.a55 = 1; a.a65 = 0;
a.a16 = 0; a.a26 = 0; a.a36 = 0; a.a46 = 0; a.a56 = 0; a.a66 = 1;
}
/**
*
* This computes the trace of the matrix:
*
* trace = ∑i=1:n { aii }
*
*
* The trace is only defined for square matrices.
*
*
* @param a A square matrix. Not modified.
*/
public static double trace( FixedMatrix6x6_64F a ) {
return a.a11 + a.a21 + a.a31 + a.a41 + a.a51 + a.a61;
}
/**
*
* Extracts all diagonal elements from 'input' and places them inside the 'out' vector. Elements
* are in sequential order.
*
*
*
* @param input Matrix. Not modified.
* @param out Vector containing diagonal elements. Modified.
*/
public static void diag( FixedMatrix6x6_64F input , FixedMatrix6_64F out ) {
out.a1 = input.a11;
out.a2 = input.a22;
out.a3 = input.a33;
out.a4 = input.a44;
out.a5 = input.a55;
out.a6 = input.a66;
}
/**
*
* Returns the value of the element in the matrix that has the largest value.
*
* Max{ aij } for all i and j
*
*
* @param a A matrix. Not modified.
* @return The max element value of the matrix.
*/
public static double elementMax( FixedMatrix6x6_64F a ) {
double max = a.a11;
max = Math.max(max,a.a12);
max = Math.max(max,a.a13);
max = Math.max(max,a.a14);
max = Math.max(max,a.a15);
max = Math.max(max,a.a16);
max = Math.max(max,a.a21);
max = Math.max(max,a.a22);
max = Math.max(max,a.a23);
max = Math.max(max,a.a24);
max = Math.max(max,a.a25);
max = Math.max(max,a.a26);
max = Math.max(max,a.a31);
max = Math.max(max,a.a32);
max = Math.max(max,a.a33);
max = Math.max(max,a.a34);
max = Math.max(max,a.a35);
max = Math.max(max,a.a36);
max = Math.max(max,a.a41);
max = Math.max(max,a.a42);
max = Math.max(max,a.a43);
max = Math.max(max,a.a44);
max = Math.max(max,a.a45);
max = Math.max(max,a.a46);
max = Math.max(max,a.a51);
max = Math.max(max,a.a52);
max = Math.max(max,a.a53);
max = Math.max(max,a.a54);
max = Math.max(max,a.a55);
max = Math.max(max,a.a56);
max = Math.max(max,a.a61);
max = Math.max(max,a.a62);
max = Math.max(max,a.a63);
max = Math.max(max,a.a64);
max = Math.max(max,a.a65);
max = Math.max(max,a.a66);
return max;
}
/**
*
* Returns the absolute value of the element in the matrix that has the largest absolute value.
*
* Max{ |aij| } for all i and j
*
*
* @param a A matrix. Not modified.
* @return The max abs element value of the matrix.
*/
public static double elementMaxAbs( FixedMatrix6x6_64F a ) {
double max = a.a11;
max = Math.max(max,Math.abs(a.a12));
max = Math.max(max,Math.abs(a.a13));
max = Math.max(max,Math.abs(a.a14));
max = Math.max(max,Math.abs(a.a15));
max = Math.max(max,Math.abs(a.a16));
max = Math.max(max,Math.abs(a.a21));
max = Math.max(max,Math.abs(a.a22));
max = Math.max(max,Math.abs(a.a23));
max = Math.max(max,Math.abs(a.a24));
max = Math.max(max,Math.abs(a.a25));
max = Math.max(max,Math.abs(a.a26));
max = Math.max(max,Math.abs(a.a31));
max = Math.max(max,Math.abs(a.a32));
max = Math.max(max,Math.abs(a.a33));
max = Math.max(max,Math.abs(a.a34));
max = Math.max(max,Math.abs(a.a35));
max = Math.max(max,Math.abs(a.a36));
max = Math.max(max,Math.abs(a.a41));
max = Math.max(max,Math.abs(a.a42));
max = Math.max(max,Math.abs(a.a43));
max = Math.max(max,Math.abs(a.a44));
max = Math.max(max,Math.abs(a.a45));
max = Math.max(max,Math.abs(a.a46));
max = Math.max(max,Math.abs(a.a51));
max = Math.max(max,Math.abs(a.a52));
max = Math.max(max,Math.abs(a.a53));
max = Math.max(max,Math.abs(a.a54));
max = Math.max(max,Math.abs(a.a55));
max = Math.max(max,Math.abs(a.a56));
max = Math.max(max,Math.abs(a.a61));
max = Math.max(max,Math.abs(a.a62));
max = Math.max(max,Math.abs(a.a63));
max = Math.max(max,Math.abs(a.a64));
max = Math.max(max,Math.abs(a.a65));
max = Math.max(max,Math.abs(a.a66));
return max;
}
/**
*
* Returns the value of the element in the matrix that has the minimum value.
*
* Min{ aij } for all i and j
*
*
* @param a A matrix. Not modified.
* @return The value of element in the matrix with the minimum value.
*/
public static double elementMin( FixedMatrix6x6_64F a ) {
double min = a.a11;
min = Math.min(min,a.a12);
min = Math.min(min,a.a13);
min = Math.min(min,a.a14);
min = Math.min(min,a.a15);
min = Math.min(min,a.a16);
min = Math.min(min,a.a21);
min = Math.min(min,a.a22);
min = Math.min(min,a.a23);
min = Math.min(min,a.a24);
min = Math.min(min,a.a25);
min = Math.min(min,a.a26);
min = Math.min(min,a.a31);
min = Math.min(min,a.a32);
min = Math.min(min,a.a33);
min = Math.min(min,a.a34);
min = Math.min(min,a.a35);
min = Math.min(min,a.a36);
min = Math.min(min,a.a41);
min = Math.min(min,a.a42);
min = Math.min(min,a.a43);
min = Math.min(min,a.a44);
min = Math.min(min,a.a45);
min = Math.min(min,a.a46);
min = Math.min(min,a.a51);
min = Math.min(min,a.a52);
min = Math.min(min,a.a53);
min = Math.min(min,a.a54);
min = Math.min(min,a.a55);
min = Math.min(min,a.a56);
min = Math.min(min,a.a61);
min = Math.min(min,a.a62);
min = Math.min(min,a.a63);
min = Math.min(min,a.a64);
min = Math.min(min,a.a65);
min = Math.min(min,a.a66);
return min;
}
/**
*
* Returns the absolute value of the element in the matrix that has the smallest absolute value.
*
* Min{ |aij| } for all i and j
*
*
* @param a A matrix. Not modified.
* @return The max element value of the matrix.
*/
public static double elementMinAbs( FixedMatrix6x6_64F a ) {
double min = a.a11;
min = Math.min(min,Math.abs(a.a12));
min = Math.min(min,Math.abs(a.a13));
min = Math.min(min,Math.abs(a.a14));
min = Math.min(min,Math.abs(a.a15));
min = Math.min(min,Math.abs(a.a16));
min = Math.min(min,Math.abs(a.a21));
min = Math.min(min,Math.abs(a.a22));
min = Math.min(min,Math.abs(a.a23));
min = Math.min(min,Math.abs(a.a24));
min = Math.min(min,Math.abs(a.a25));
min = Math.min(min,Math.abs(a.a26));
min = Math.min(min,Math.abs(a.a31));
min = Math.min(min,Math.abs(a.a32));
min = Math.min(min,Math.abs(a.a33));
min = Math.min(min,Math.abs(a.a34));
min = Math.min(min,Math.abs(a.a35));
min = Math.min(min,Math.abs(a.a36));
min = Math.min(min,Math.abs(a.a41));
min = Math.min(min,Math.abs(a.a42));
min = Math.min(min,Math.abs(a.a43));
min = Math.min(min,Math.abs(a.a44));
min = Math.min(min,Math.abs(a.a45));
min = Math.min(min,Math.abs(a.a46));
min = Math.min(min,Math.abs(a.a51));
min = Math.min(min,Math.abs(a.a52));
min = Math.min(min,Math.abs(a.a53));
min = Math.min(min,Math.abs(a.a54));
min = Math.min(min,Math.abs(a.a55));
min = Math.min(min,Math.abs(a.a56));
min = Math.min(min,Math.abs(a.a61));
min = Math.min(min,Math.abs(a.a62));
min = Math.min(min,Math.abs(a.a63));
min = Math.min(min,Math.abs(a.a64));
min = Math.min(min,Math.abs(a.a65));
min = Math.min(min,Math.abs(a.a66));
return min;
}
/**
* Performs the an element by element multiplication operation:
*
* aij = aij * bij
*
* @param a The left matrix in the multiplication operation. Modified.
* @param b The right matrix in the multiplication operation. Not modified.
*/
public static void elementMult( FixedMatrix6x6_64F a , FixedMatrix6x6_64F b) {
a.a11 *= b.a11; a.a12 *= b.a12; a.a13 *= b.a13; a.a14 *= b.a14; a.a15 *= b.a15; a.a16 *= b.a16;
a.a21 *= b.a21; a.a22 *= b.a22; a.a23 *= b.a23; a.a24 *= b.a24; a.a25 *= b.a25; a.a26 *= b.a26;
a.a31 *= b.a31; a.a32 *= b.a32; a.a33 *= b.a33; a.a34 *= b.a34; a.a35 *= b.a35; a.a36 *= b.a36;
a.a41 *= b.a41; a.a42 *= b.a42; a.a43 *= b.a43; a.a44 *= b.a44; a.a45 *= b.a45; a.a46 *= b.a46;
a.a51 *= b.a51; a.a52 *= b.a52; a.a53 *= b.a53; a.a54 *= b.a54; a.a55 *= b.a55; a.a56 *= b.a56;
a.a61 *= b.a61; a.a62 *= b.a62; a.a63 *= b.a63; a.a64 *= b.a64; a.a65 *= b.a65; a.a66 *= b.a66;
}
/**
* Performs the an element by element multiplication operation:
*
* cij = aij * bij
*
* @param a The left matrix in the multiplication operation. Not modified.
* @param b The right matrix in the multiplication operation. Not modified.
* @param c Where the results of the operation are stored. Modified.
*/
public static void elementMult( FixedMatrix6x6_64F a , FixedMatrix6x6_64F b , FixedMatrix6x6_64F c ) {
c.a11 = a.a11*b.a11; c.a12 = a.a12*b.a12; c.a13 = a.a13*b.a13; c.a14 = a.a14*b.a14; c.a15 = a.a15*b.a15; c.a16 = a.a16*b.a16;
c.a21 = a.a21*b.a21; c.a22 = a.a22*b.a22; c.a23 = a.a23*b.a23; c.a24 = a.a24*b.a24; c.a25 = a.a25*b.a25; c.a26 = a.a26*b.a26;
c.a31 = a.a31*b.a31; c.a32 = a.a32*b.a32; c.a33 = a.a33*b.a33; c.a34 = a.a34*b.a34; c.a35 = a.a35*b.a35; c.a36 = a.a36*b.a36;
c.a41 = a.a41*b.a41; c.a42 = a.a42*b.a42; c.a43 = a.a43*b.a43; c.a44 = a.a44*b.a44; c.a45 = a.a45*b.a45; c.a46 = a.a46*b.a46;
c.a51 = a.a51*b.a51; c.a52 = a.a52*b.a52; c.a53 = a.a53*b.a53; c.a54 = a.a54*b.a54; c.a55 = a.a55*b.a55; c.a56 = a.a56*b.a56;
c.a61 = a.a61*b.a61; c.a62 = a.a62*b.a62; c.a63 = a.a63*b.a63; c.a64 = a.a64*b.a64; c.a65 = a.a65*b.a65; c.a66 = a.a66*b.a66;
}
/**
* Performs the an element by element division operation:
*
* aij = aij / bij
*
* @param a The left matrix in the division operation. Modified.
* @param b The right matrix in the division operation. Not modified.
*/
public static void elementDiv( FixedMatrix6x6_64F a , FixedMatrix6x6_64F b) {
a.a11 /= b.a11; a.a12 /= b.a12; a.a13 /= b.a13; a.a14 /= b.a14; a.a15 /= b.a15; a.a16 /= b.a16;
a.a21 /= b.a21; a.a22 /= b.a22; a.a23 /= b.a23; a.a24 /= b.a24; a.a25 /= b.a25; a.a26 /= b.a26;
a.a31 /= b.a31; a.a32 /= b.a32; a.a33 /= b.a33; a.a34 /= b.a34; a.a35 /= b.a35; a.a36 /= b.a36;
a.a41 /= b.a41; a.a42 /= b.a42; a.a43 /= b.a43; a.a44 /= b.a44; a.a45 /= b.a45; a.a46 /= b.a46;
a.a51 /= b.a51; a.a52 /= b.a52; a.a53 /= b.a53; a.a54 /= b.a54; a.a55 /= b.a55; a.a56 /= b.a56;
a.a61 /= b.a61; a.a62 /= b.a62; a.a63 /= b.a63; a.a64 /= b.a64; a.a65 /= b.a65; a.a66 /= b.a66;
}
/**
* Performs the an element by element division operation:
*
* cij = aij / bij
*
* @param a The left matrix in the division operation. Not modified.
* @param b The right matrix in the division operation. Not modified.
* @param c Where the results of the operation are stored. Modified.
*/
public static void elementDiv( FixedMatrix6x6_64F a , FixedMatrix6x6_64F b , FixedMatrix6x6_64F c ) {
c.a11 = a.a11/b.a11; c.a12 = a.a12/b.a12; c.a13 = a.a13/b.a13; c.a14 = a.a14/b.a14; c.a15 = a.a15/b.a15; c.a16 = a.a16/b.a16;
c.a21 = a.a21/b.a21; c.a22 = a.a22/b.a22; c.a23 = a.a23/b.a23; c.a24 = a.a24/b.a24; c.a25 = a.a25/b.a25; c.a26 = a.a26/b.a26;
c.a31 = a.a31/b.a31; c.a32 = a.a32/b.a32; c.a33 = a.a33/b.a33; c.a34 = a.a34/b.a34; c.a35 = a.a35/b.a35; c.a36 = a.a36/b.a36;
c.a41 = a.a41/b.a41; c.a42 = a.a42/b.a42; c.a43 = a.a43/b.a43; c.a44 = a.a44/b.a44; c.a45 = a.a45/b.a45; c.a46 = a.a46/b.a46;
c.a51 = a.a51/b.a51; c.a52 = a.a52/b.a52; c.a53 = a.a53/b.a53; c.a54 = a.a54/b.a54; c.a55 = a.a55/b.a55; c.a56 = a.a56/b.a56;
c.a61 = a.a61/b.a61; c.a62 = a.a62/b.a62; c.a63 = a.a63/b.a63; c.a64 = a.a64/b.a64; c.a65 = a.a65/b.a65; c.a66 = a.a66/b.a66;
}
/**
*
* Performs an in-place element by element scalar multiplication.
*
* aij = α*aij
*
*
* @param a The matrix that is to be scaled. Modified.
* @param alpha the amount each element is multiplied by.
*/
public static void scale( double alpha , FixedMatrix6x6_64F a ) {
a.a11 *= alpha; a.a12 *= alpha; a.a13 *= alpha; a.a14 *= alpha; a.a15 *= alpha; a.a16 *= alpha;
a.a21 *= alpha; a.a22 *= alpha; a.a23 *= alpha; a.a24 *= alpha; a.a25 *= alpha; a.a26 *= alpha;
a.a31 *= alpha; a.a32 *= alpha; a.a33 *= alpha; a.a34 *= alpha; a.a35 *= alpha; a.a36 *= alpha;
a.a41 *= alpha; a.a42 *= alpha; a.a43 *= alpha; a.a44 *= alpha; a.a45 *= alpha; a.a46 *= alpha;
a.a51 *= alpha; a.a52 *= alpha; a.a53 *= alpha; a.a54 *= alpha; a.a55 *= alpha; a.a56 *= alpha;
a.a61 *= alpha; a.a62 *= alpha; a.a63 *= alpha; a.a64 *= alpha; a.a65 *= alpha; a.a66 *= alpha;
}
/**
*
* Performs an element by element scalar multiplication.
*
* bij = α*aij
*
*
* @param alpha the amount each element is multiplied by.
* @param a The matrix that is to be scaled. Not modified.
* @param b Where the scaled matrix is stored. Modified.
*/
public static void scale( double alpha , FixedMatrix6x6_64F a , FixedMatrix6x6_64F b ) {
b.a11 = a.a11*alpha; b.a12 = a.a12*alpha; b.a13 = a.a13*alpha; b.a14 = a.a14*alpha; b.a15 = a.a15*alpha; b.a16 = a.a16*alpha;
b.a21 = a.a21*alpha; b.a22 = a.a22*alpha; b.a23 = a.a23*alpha; b.a24 = a.a24*alpha; b.a25 = a.a25*alpha; b.a26 = a.a26*alpha;
b.a31 = a.a31*alpha; b.a32 = a.a32*alpha; b.a33 = a.a33*alpha; b.a34 = a.a34*alpha; b.a35 = a.a35*alpha; b.a36 = a.a36*alpha;
b.a41 = a.a41*alpha; b.a42 = a.a42*alpha; b.a43 = a.a43*alpha; b.a44 = a.a44*alpha; b.a45 = a.a45*alpha; b.a46 = a.a46*alpha;
b.a51 = a.a51*alpha; b.a52 = a.a52*alpha; b.a53 = a.a53*alpha; b.a54 = a.a54*alpha; b.a55 = a.a55*alpha; b.a56 = a.a56*alpha;
b.a61 = a.a61*alpha; b.a62 = a.a62*alpha; b.a63 = a.a63*alpha; b.a64 = a.a64*alpha; b.a65 = a.a65*alpha; b.a66 = a.a66*alpha;
}
/**
*
* Performs an in-place element by element scalar division. Scalar denominator.
*
* aij = aij/α
*
*
* @param a The matrix whose elements are to be divided. Modified.
* @param alpha the amount each element is divided by.
*/
public static void divide( FixedMatrix6x6_64F a , double alpha ) {
a.a11 /= alpha; a.a12 /= alpha; a.a13 /= alpha; a.a14 /= alpha; a.a15 /= alpha; a.a16 /= alpha;
a.a21 /= alpha; a.a22 /= alpha; a.a23 /= alpha; a.a24 /= alpha; a.a25 /= alpha; a.a26 /= alpha;
a.a31 /= alpha; a.a32 /= alpha; a.a33 /= alpha; a.a34 /= alpha; a.a35 /= alpha; a.a36 /= alpha;
a.a41 /= alpha; a.a42 /= alpha; a.a43 /= alpha; a.a44 /= alpha; a.a45 /= alpha; a.a46 /= alpha;
a.a51 /= alpha; a.a52 /= alpha; a.a53 /= alpha; a.a54 /= alpha; a.a55 /= alpha; a.a56 /= alpha;
a.a61 /= alpha; a.a62 /= alpha; a.a63 /= alpha; a.a64 /= alpha; a.a65 /= alpha; a.a66 /= alpha;
}
/**
*
* Performs an element by element scalar division. Scalar denominator.
*
* bij = *aij /α
*
*
* @param alpha the amount each element is divided by.
* @param a The matrix whose elements are to be divided. Not modified.
* @param b Where the results are stored. Modified.
*/
public static void divide( FixedMatrix6x6_64F a , double alpha , FixedMatrix6x6_64F b ) {
b.a11 = a.a11/alpha; b.a12 = a.a12/alpha; b.a13 = a.a13/alpha; b.a14 = a.a14/alpha; b.a15 = a.a15/alpha; b.a16 = a.a16/alpha;
b.a21 = a.a21/alpha; b.a22 = a.a22/alpha; b.a23 = a.a23/alpha; b.a24 = a.a24/alpha; b.a25 = a.a25/alpha; b.a26 = a.a26/alpha;
b.a31 = a.a31/alpha; b.a32 = a.a32/alpha; b.a33 = a.a33/alpha; b.a34 = a.a34/alpha; b.a35 = a.a35/alpha; b.a36 = a.a36/alpha;
b.a41 = a.a41/alpha; b.a42 = a.a42/alpha; b.a43 = a.a43/alpha; b.a44 = a.a44/alpha; b.a45 = a.a45/alpha; b.a46 = a.a46/alpha;
b.a51 = a.a51/alpha; b.a52 = a.a52/alpha; b.a53 = a.a53/alpha; b.a54 = a.a54/alpha; b.a55 = a.a55/alpha; b.a56 = a.a56/alpha;
b.a61 = a.a61/alpha; b.a62 = a.a62/alpha; b.a63 = a.a63/alpha; b.a64 = a.a64/alpha; b.a65 = a.a65/alpha; b.a66 = a.a66/alpha;
}
/**
*
* Changes the sign of every element in the matrix.
*
* aij = -aij
*
*
* @param a A matrix. Modified.
*/
public static void changeSign( FixedMatrix6x6_64F a )
{
a.a11 = -a.a11; a.a12 = -a.a12; a.a13 = -a.a13; a.a14 = -a.a14; a.a15 = -a.a15; a.a16 = -a.a16;
a.a21 = -a.a21; a.a22 = -a.a22; a.a23 = -a.a23; a.a24 = -a.a24; a.a25 = -a.a25; a.a26 = -a.a26;
a.a31 = -a.a31; a.a32 = -a.a32; a.a33 = -a.a33; a.a34 = -a.a34; a.a35 = -a.a35; a.a36 = -a.a36;
a.a41 = -a.a41; a.a42 = -a.a42; a.a43 = -a.a43; a.a44 = -a.a44; a.a45 = -a.a45; a.a46 = -a.a46;
a.a51 = -a.a51; a.a52 = -a.a52; a.a53 = -a.a53; a.a54 = -a.a54; a.a55 = -a.a55; a.a56 = -a.a56;
a.a61 = -a.a61; a.a62 = -a.a62; a.a63 = -a.a63; a.a64 = -a.a64; a.a65 = -a.a65; a.a66 = -a.a66;
}
/**
*
* Sets every element in the matrix to the specified value.
*
* aij = value
*
*
* @param a A matrix whose elements are about to be set. Modified.
* @param v The value each element will have.
*/
public static void fill( FixedMatrix6x6_64F a , double v ) {
a.a11 = v; a.a12 = v; a.a13 = v; a.a14 = v; a.a15 = v; a.a16 = v;
a.a21 = v; a.a22 = v; a.a23 = v; a.a24 = v; a.a25 = v; a.a26 = v;
a.a31 = v; a.a32 = v; a.a33 = v; a.a34 = v; a.a35 = v; a.a36 = v;
a.a41 = v; a.a42 = v; a.a43 = v; a.a44 = v; a.a45 = v; a.a46 = v;
a.a51 = v; a.a52 = v; a.a53 = v; a.a54 = v; a.a55 = v; a.a56 = v;
a.a61 = v; a.a62 = v; a.a63 = v; a.a64 = v; a.a65 = v; a.a66 = v;
}
}