602 lines
22 KiB
C#
602 lines
22 KiB
C#
/*
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* Copyright 2019-2025 Andrey Pokidov <andrey.pokidov@gmail.com>
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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using System;
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/*
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* Author: Andrey Pokidov
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* Date: 10 Feb 2019
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*/
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namespace Geometry
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{
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public struct DPMatrix3x3
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{
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public double r1c1, r1c2, r1c3;
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public double r2c1, r2c2, r2c3;
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public double r3c1, r3c2, r3c3;
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public DPMatrix3x3()
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{
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this.r1c1 = 0.0;
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this.r1c2 = 0.0;
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this.r1c3 = 0.0;
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this.r2c1 = 0.0;
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this.r2c2 = 0.0;
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this.r2c3 = 0.0;
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this.r3c1 = 0.0;
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this.r3c2 = 0.0;
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this.r3c3 = 0.0;
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}
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public DPMatrix3x3(double d1, double d2, double d3)
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{
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this.r1c1 = d1;
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this.r1c2 = 0.0;
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this.r1c3 = 0.0;
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this.r2c1 = 0.0;
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this.r2c2 = d2;
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this.r2c3 = 0.0;
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this.r3c1 = 0.0;
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this.r3c2 = 0.0;
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this.r3c3 = d3;
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}
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public DPMatrix3x3(in DPMatrix3x3 matrix)
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{
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this.r1c1 = matrix.r1c1;
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this.r1c2 = matrix.r1c2;
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this.r1c3 = matrix.r1c3;
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this.r2c1 = matrix.r2c1;
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this.r2c2 = matrix.r2c2;
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this.r2c3 = matrix.r2c3;
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this.r3c1 = matrix.r3c1;
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this.r3c2 = matrix.r3c2;
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this.r3c3 = matrix.r3c3;
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}
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public DPMatrix3x3(in SPMatrix3x3 matrix)
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{
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this.r1c1 = matrix.r1c1;
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this.r1c2 = matrix.r1c2;
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this.r1c3 = matrix.r1c3;
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this.r2c1 = matrix.r2c1;
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this.r2c2 = matrix.r2c2;
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this.r2c3 = matrix.r2c3;
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this.r3c1 = matrix.r3c1;
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this.r3c2 = matrix.r3c2;
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this.r3c3 = matrix.r3c3;
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}
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public readonly double GetDeterminant()
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{
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return this.r1c1 * (this.r2c2 * this.r3c3 - this.r2c3 * this.r3c2)
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+ this.r1c2 * (this.r2c3 * this.r3c1 - this.r2c1 * this.r3c3)
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+ this.r1c3 * (this.r2c1 * this.r3c2 - this.r2c2 * this.r3c1);
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}
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public readonly bool IsSingular()
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{
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double determinant = this.GetDeterminant();
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return -DPUtility.EPSYLON <= determinant && determinant <= DPUtility.EPSYLON;
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}
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public void Reset()
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{
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this.r1c1 = 0.0;
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this.r1c2 = 0.0;
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this.r1c3 = 0.0;
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this.r2c1 = 0.0;
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this.r2c2 = 0.0;
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this.r2c3 = 0.0;
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this.r3c1 = 0.0;
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this.r3c2 = 0.0;
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this.r3c3 = 0.0;
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}
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public void MakeIdentity()
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{
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this.r1c1 = 1.0;
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this.r1c2 = 0.0;
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this.r1c3 = 0.0;
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this.r2c1 = 0.0;
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this.r2c2 = 1.0;
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this.r2c3 = 0.0;
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this.r3c1 = 0.0;
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this.r3c2 = 0.0;
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this.r3c3 = 1.0;
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}
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public void MakeDiagonal(double d1, double d2, double d3)
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{
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this.r1c1 = d1;
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this.r1c2 = 0.0;
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this.r1c3 = 0.0;
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this.r2c1 = 0.0;
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this.r2c2 = d2;
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this.r2c3 = 0.0;
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this.r2c1 = 0.0;
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this.r2c2 = 0.0;
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this.r2c3 = d3;
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}
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public void Transpose()
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{
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(this.r1c2, this.r2c1) = (this.r2c1, this.r1c2);
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(this.r1c3, this.r3c1) = (this.r3c1, this.r1c3);
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(this.r2c3, this.r3c2) = (this.r3c2, this.r2c3);
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}
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public bool Invert()
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{
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double determinant = this.GetDeterminant();
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if (-DPUtility.EPSYLON <= determinant && determinant <= DPUtility.EPSYLON) {
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return false;
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}
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double r1c1 = this.r2c2 * this.r3c3 - this.r2c3 * this.r3c2;
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double r1c2 = this.r1c3 * this.r3c2 - this.r1c2 * this.r3c3;
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double r1c3 = this.r1c2 * this.r2c3 - this.r1c3 * this.r2c2;
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double r2c1 = this.r2c3 * this.r3c1 - this.r2c1 * this.r3c3;
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double r2c2 = this.r1c1 * this.r3c3 - this.r1c3 * this.r3c1;
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double r2c3 = this.r1c3 * this.r2c1 - this.r1c1 * this.r2c3;
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double r3c1 = this.r2c1 * this.r3c2 - this.r2c2 * this.r3c1;
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double r3c2 = this.r1c2 * this.r3c1 - this.r1c1 * this.r3c2;
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double r3c3 = this.r1c1 * this.r2c2 - this.r1c2 * this.r2c1;
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this.r1c1 = r1c1 / determinant;
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this.r1c2 = r1c2 / determinant;
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this.r1c3 = r1c3 / determinant;
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this.r2c1 = r2c1 / determinant;
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this.r2c2 = r2c2 / determinant;
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this.r2c3 = r2c3 / determinant;
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this.r3c1 = r3c1 / determinant;
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this.r3c2 = r3c2 / determinant;
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this.r3c3 = r3c3 / determinant;
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return true;
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}
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public void MakeTransposedOf(in DPMatrix3x3 matrix)
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{
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this.r1c1 = matrix.r1c1;
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this.r2c2 = matrix.r2c2;
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this.r3c3 = matrix.r3c3;
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(this.r1c2, this.r2c1) = (matrix.r2c1, matrix.r1c2);
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(this.r1c3, this.r3c1) = (matrix.r3c1, matrix.r1c3);
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(this.r2c3, this.r3c2) = (matrix.r3c2, matrix.r2c3);
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}
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public void MakeTransposedOf(in SPMatrix3x3 matrix)
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{
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this.r1c1 = matrix.r1c1;
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this.r2c2 = matrix.r2c2;
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this.r3c3 = matrix.r3c3;
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(this.r1c2, this.r2c1) = (matrix.r2c1, matrix.r1c2);
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(this.r1c3, this.r3c1) = (matrix.r3c1, matrix.r1c3);
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(this.r2c3, this.r3c2) = (matrix.r3c2, matrix.r2c3);
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}
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public bool MakeInvertedOf(in DPMatrix3x3 matrix)
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{
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double determinant = matrix.GetDeterminant();
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if (-DPUtility.EPSYLON <= determinant && determinant <= DPUtility.EPSYLON) {
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return false;
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}
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double r1c1 = matrix.r2c2 * matrix.r3c3 - matrix.r2c3 * matrix.r3c2;
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double r1c2 = matrix.r1c3 * matrix.r3c2 - matrix.r1c2 * matrix.r3c3;
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double r1c3 = matrix.r1c2 * matrix.r2c3 - matrix.r1c3 * matrix.r2c2;
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double r2c1 = matrix.r2c3 * matrix.r3c1 - matrix.r2c1 * matrix.r3c3;
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double r2c2 = matrix.r1c1 * matrix.r3c3 - matrix.r1c3 * matrix.r3c1;
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double r2c3 = matrix.r1c3 * matrix.r2c1 - matrix.r1c1 * matrix.r2c3;
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double r3c1 = matrix.r2c1 * matrix.r3c2 - matrix.r2c2 * matrix.r3c1;
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double r3c2 = matrix.r1c2 * matrix.r3c1 - matrix.r1c1 * matrix.r3c2;
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double r3c3 = matrix.r1c1 * matrix.r2c2 - matrix.r1c2 * matrix.r2c1;
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this.r1c1 = r1c1 / determinant;
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this.r1c2 = r1c2 / determinant;
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this.r1c3 = r1c3 / determinant;
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this.r2c1 = r2c1 / determinant;
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this.r2c2 = r2c2 / determinant;
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this.r2c3 = r2c3 / determinant;
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this.r3c1 = r3c1 / determinant;
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this.r3c2 = r3c2 / determinant;
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this.r3c3 = r3c3 / determinant;
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return true;
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}
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public void SetValues(DPMatrix3x3 matrix)
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{
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this.r1c1 = matrix.r1c1;
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this.r1c2 = matrix.r1c2;
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this.r1c3 = matrix.r1c3;
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this.r2c1 = matrix.r2c1;
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this.r2c2 = matrix.r2c2;
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this.r2c3 = matrix.r2c3;
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this.r3c1 = matrix.r3c1;
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this.r3c2 = matrix.r3c2;
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this.r3c3 = matrix.r3c3;
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}
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public void SetValues(SPMatrix3x3 matrix)
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{
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this.r1c1 = matrix.r1c1;
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this.r1c2 = matrix.r1c2;
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this.r1c3 = matrix.r1c3;
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this.r2c1 = matrix.r2c1;
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this.r2c2 = matrix.r2c2;
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this.r2c3 = matrix.r2c3;
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this.r3c1 = matrix.r3c1;
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this.r3c2 = matrix.r3c2;
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this.r3c3 = matrix.r3c3;
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}
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public void SetMainDiagonal(double d1, double d2, double d3)
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{
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this.r1c1 = d1;
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this.r2c2 = d2;
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this.r3c3 = d3;
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}
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public void SetRow1(double c1, double c2, double c3)
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{
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this.r1c1 = c1;
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this.r1c2 = c2;
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this.r1c3 = c3;
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}
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public void SetRow2(double c1, double c2, double c3)
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{
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this.r2c1 = c1;
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this.r2c2 = c2;
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this.r2c3 = c3;
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}
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public void SetRow3(double c1, double c2, double c3)
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{
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this.r3c1 = c1;
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this.r3c2 = c2;
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this.r3c3 = c3;
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}
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public void SetColumn1(double r1, double r2, double r3)
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{
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this.r1c1 = r1;
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this.r2c1 = r2;
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this.r3c1 = r3;
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}
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public void SetColumn2(double r1, double r2, double r3)
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{
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this.r1c3 = r1;
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this.r2c3 = r2;
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this.r3c3 = r3;
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}
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public void SetColumn3(double r1, double r2, double r3)
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{
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this.r1c3 = r1;
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this.r2c3 = r2;
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this.r3c3 = r3;
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}
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public static void Add(in DPMatrix3x3 matrix1, in DPMatrix3x3 matrix2, out DPMatrix3x3 sum)
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{
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sum.r1c1 = matrix1.r1c1 + matrix2.r1c1;
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sum.r1c2 = matrix1.r1c2 + matrix2.r1c2;
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sum.r1c3 = matrix1.r1c3 + matrix2.r1c3;
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sum.r2c1 = matrix1.r2c1 + matrix2.r2c1;
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sum.r2c2 = matrix1.r2c2 + matrix2.r2c2;
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sum.r2c3 = matrix1.r2c3 + matrix2.r2c3;
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sum.r3c1 = matrix1.r3c1 + matrix2.r3c1;
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sum.r3c2 = matrix1.r3c2 + matrix2.r3c2;
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sum.r3c3 = matrix1.r3c3 + matrix2.r3c3;
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}
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public static void Add3(
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in DPMatrix3x3 matrix1,
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in DPMatrix3x3 matrix2,
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in DPMatrix3x3 matrix3,
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out DPMatrix3x3 sum
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)
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{
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sum.r1c1 = matrix1.r1c1 + matrix2.r1c1 + matrix3.r1c1;
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sum.r1c2 = matrix1.r1c2 + matrix2.r1c2 + matrix3.r1c2;
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sum.r1c3 = matrix1.r1c3 + matrix2.r1c3 + matrix3.r1c3;
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sum.r2c1 = matrix1.r2c1 + matrix2.r2c1 + matrix3.r2c1;
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sum.r2c2 = matrix1.r2c2 + matrix2.r2c2 + matrix3.r2c2;
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sum.r2c3 = matrix1.r2c3 + matrix2.r2c3 + matrix3.r2c3;
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sum.r3c1 = matrix1.r3c1 + matrix2.r3c1 + matrix3.r3c1;
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sum.r3c2 = matrix1.r3c2 + matrix2.r3c2 + matrix3.r3c2;
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sum.r3c3 = matrix1.r3c3 + matrix2.r3c3 + matrix3.r3c3;
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}
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public static void Add4(
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in DPMatrix3x3 matrix1,
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in DPMatrix3x3 matrix2,
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in DPMatrix3x3 matrix3,
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in DPMatrix3x3 matrix4,
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out DPMatrix3x3 sum
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)
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{
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sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1);
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sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2);
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sum.r1c3 = (matrix1.r1c3 + matrix2.r1c3) + (matrix3.r1c3 + matrix4.r1c3);
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sum.r2c1 = (matrix1.r2c1 + matrix2.r2c1) + (matrix3.r2c1 + matrix4.r2c1);
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sum.r2c2 = (matrix1.r2c2 + matrix2.r2c2) + (matrix3.r2c2 + matrix4.r2c2);
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sum.r2c3 = (matrix1.r2c3 + matrix2.r2c3) + (matrix3.r2c3 + matrix4.r2c3);
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sum.r3c1 = (matrix1.r3c1 + matrix2.r3c1) + (matrix3.r3c1 + matrix4.r3c1);
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sum.r3c2 = (matrix1.r3c2 + matrix2.r3c2) + (matrix3.r3c2 + matrix4.r3c2);
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sum.r3c3 = (matrix1.r3c3 + matrix2.r3c3) + (matrix3.r3c3 + matrix4.r3c3);
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}
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public static void Add5(
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in DPMatrix3x3 matrix1,
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in DPMatrix3x3 matrix2,
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in DPMatrix3x3 matrix3,
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in DPMatrix3x3 matrix4,
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in DPMatrix3x3 matrix5,
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out DPMatrix3x3 sum
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)
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{
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sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1) + matrix5.r1c1;
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sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2) + matrix5.r1c2;
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sum.r1c3 = (matrix1.r1c3 + matrix2.r1c3) + (matrix3.r1c3 + matrix4.r1c3) + matrix5.r1c3;
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sum.r2c1 = (matrix1.r2c1 + matrix2.r2c1) + (matrix3.r2c1 + matrix4.r2c1) + matrix5.r2c1;
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sum.r2c2 = (matrix1.r2c2 + matrix2.r2c2) + (matrix3.r2c2 + matrix4.r2c2) + matrix5.r2c2;
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sum.r2c3 = (matrix1.r2c3 + matrix2.r2c3) + (matrix3.r2c3 + matrix4.r2c3) + matrix5.r2c3;
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sum.r3c1 = (matrix1.r3c1 + matrix2.r3c1) + (matrix3.r3c1 + matrix4.r3c1) + matrix5.r3c1;
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sum.r3c2 = (matrix1.r3c2 + matrix2.r3c2) + (matrix3.r3c2 + matrix4.r3c2) + matrix5.r3c2;
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sum.r3c3 = (matrix1.r3c3 + matrix2.r3c3) + (matrix3.r3c3 + matrix4.r3c3) + matrix5.r3c3;
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}
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public static void Subtract(in DPMatrix3x3 minuend, in DPMatrix3x3 subtrahend, out DPMatrix3x3 difference)
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{
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difference.r1c1 = minuend.r1c1 - subtrahend.r1c1;
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difference.r1c2 = minuend.r1c2 - subtrahend.r1c2;
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difference.r1c3 = minuend.r1c3 - subtrahend.r1c3;
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difference.r2c1 = minuend.r2c1 - subtrahend.r2c1;
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difference.r2c2 = minuend.r2c2 - subtrahend.r2c2;
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difference.r2c3 = minuend.r2c3 - subtrahend.r2c3;
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difference.r3c1 = minuend.r3c1 - subtrahend.r3c1;
|
|
difference.r3c2 = minuend.r3c2 - subtrahend.r3c2;
|
|
difference.r3c3 = minuend.r3c3 - subtrahend.r3c3;
|
|
}
|
|
|
|
public static void GetWeightedSum2(
|
|
double weight1, in DPMatrix3x3 matrix1,
|
|
double weight2, in DPMatrix3x3 matrix2,
|
|
out DPMatrix3x3 sum
|
|
)
|
|
{
|
|
sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2;
|
|
sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2;
|
|
sum.r1c3 = matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2;
|
|
|
|
sum.r2c1 = matrix1.r2c1 * weight1 + matrix2.r2c1 * weight2;
|
|
sum.r2c2 = matrix1.r2c2 * weight1 + matrix2.r2c2 * weight2;
|
|
sum.r2c3 = matrix1.r2c3 * weight1 + matrix2.r2c3 * weight2;
|
|
|
|
sum.r3c1 = matrix1.r3c1 * weight1 + matrix2.r3c1 * weight2;
|
|
sum.r3c2 = matrix1.r3c2 * weight1 + matrix2.r3c2 * weight2;
|
|
sum.r3c3 = matrix1.r3c3 * weight1 + matrix2.r3c3 * weight2;
|
|
}
|
|
|
|
public static void GetWeightedSum3(
|
|
double weight1, in DPMatrix3x3 matrix1,
|
|
double weight2, in DPMatrix3x3 matrix2,
|
|
double weight3, in DPMatrix3x3 matrix3,
|
|
out DPMatrix3x3 sum
|
|
)
|
|
{
|
|
sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2 + matrix3.r1c1 * weight3;
|
|
sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2 + matrix3.r1c2 * weight3;
|
|
sum.r1c3 = matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2 + matrix3.r1c3 * weight3;
|
|
|
|
sum.r2c1 = matrix1.r2c1 * weight1 + matrix2.r2c1 * weight2 + matrix3.r2c1 * weight3;
|
|
sum.r2c2 = matrix1.r2c2 * weight1 + matrix2.r2c2 * weight2 + matrix3.r2c2 * weight3;
|
|
sum.r2c3 = matrix1.r2c3 * weight1 + matrix2.r2c3 * weight2 + matrix3.r2c3 * weight3;
|
|
|
|
sum.r3c1 = matrix1.r3c1 * weight1 + matrix2.r3c1 * weight2 + matrix3.r3c1 * weight3;
|
|
sum.r3c2 = matrix1.r3c2 * weight1 + matrix2.r3c2 * weight2 + matrix3.r3c2 * weight3;
|
|
sum.r3c3 = matrix1.r3c3 * weight1 + matrix2.r3c3 * weight2 + matrix3.r3c3 * weight3;
|
|
}
|
|
|
|
public static void GetWeightedSum4(
|
|
double weight1, in DPMatrix3x3 matrix1,
|
|
double weight2, in DPMatrix3x3 matrix2,
|
|
double weight3, in DPMatrix3x3 matrix3,
|
|
double weight4, in DPMatrix3x3 matrix4,
|
|
out DPMatrix3x3 sum
|
|
)
|
|
{
|
|
sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4);
|
|
sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4);
|
|
sum.r1c3 = (matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2) + (matrix3.r1c3 * weight3 + matrix4.r1c3 * weight4);
|
|
|
|
sum.r2c1 = (matrix1.r2c1 * weight1 + matrix2.r2c1 * weight2) + (matrix3.r2c1 * weight3 + matrix4.r2c1 * weight4);
|
|
sum.r2c2 = (matrix1.r2c2 * weight1 + matrix2.r2c2 * weight2) + (matrix3.r2c2 * weight3 + matrix4.r2c2 * weight4);
|
|
sum.r2c3 = (matrix1.r2c3 * weight1 + matrix2.r2c3 * weight2) + (matrix3.r2c3 * weight3 + matrix4.r2c3 * weight4);
|
|
|
|
sum.r3c1 = (matrix1.r3c1 * weight1 + matrix2.r3c1 * weight2) + (matrix3.r3c1 * weight3 + matrix4.r3c1 * weight4);
|
|
sum.r3c2 = (matrix1.r3c2 * weight1 + matrix2.r3c2 * weight2) + (matrix3.r3c2 * weight3 + matrix4.r3c2 * weight4);
|
|
sum.r3c3 = (matrix1.r3c3 * weight1 + matrix2.r3c3 * weight2) + (matrix3.r3c3 * weight3 + matrix4.r3c3 * weight4);
|
|
}
|
|
|
|
public static void GetWeightedSum5(
|
|
double weight1, in DPMatrix3x3 matrix1,
|
|
double weight2, in DPMatrix3x3 matrix2,
|
|
double weight3, in DPMatrix3x3 matrix3,
|
|
double weight4, in DPMatrix3x3 matrix4,
|
|
double weight5, in DPMatrix3x3 matrix5,
|
|
out DPMatrix3x3 sum
|
|
)
|
|
{
|
|
sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4) + matrix5.r1c1 * weight5;
|
|
sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4) + matrix5.r1c2 * weight5;
|
|
sum.r1c3 = (matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2) + (matrix3.r1c3 * weight3 + matrix4.r1c3 * weight4) + matrix5.r1c3 * weight5;
|
|
|
|
sum.r2c1 = (matrix1.r2c1 * weight1 + matrix2.r2c1 * weight2) + (matrix3.r2c1 * weight3 + matrix4.r2c1 * weight4) + matrix5.r2c1 * weight5;
|
|
sum.r2c2 = (matrix1.r2c2 * weight1 + matrix2.r2c2 * weight2) + (matrix3.r2c2 * weight3 + matrix4.r2c2 * weight4) + matrix5.r2c2 * weight5;
|
|
sum.r2c3 = (matrix1.r2c3 * weight1 + matrix2.r2c3 * weight2) + (matrix3.r2c3 * weight3 + matrix4.r2c3 * weight4) + matrix5.r2c3 * weight5;
|
|
|
|
sum.r3c1 = (matrix1.r3c1 * weight1 + matrix2.r3c1 * weight2) + (matrix3.r3c1 * weight3 + matrix4.r3c1 * weight4) + matrix5.r3c1 * weight5;
|
|
sum.r3c2 = (matrix1.r3c2 * weight1 + matrix2.r3c2 * weight2) + (matrix3.r3c2 * weight3 + matrix4.r3c2 * weight4) + matrix5.r3c2 * weight5;
|
|
sum.r3c3 = (matrix1.r3c3 * weight1 + matrix2.r3c3 * weight2) + (matrix3.r3c3 * weight3 + matrix4.r3c3 * weight4) + matrix5.r3c3 * weight5;
|
|
}
|
|
|
|
public static void Multiply(in DPMatrix3x3 multiplicand, double multiplier, out DPMatrix3x3 product)
|
|
{
|
|
product.r1c1 = multiplicand.r1c1 * multiplier;
|
|
product.r1c2 = multiplicand.r1c2 * multiplier;
|
|
product.r1c3 = multiplicand.r1c3 * multiplier;
|
|
|
|
product.r2c1 = multiplicand.r2c1 * multiplier;
|
|
product.r2c2 = multiplicand.r2c2 * multiplier;
|
|
product.r2c3 = multiplicand.r2c3 * multiplier;
|
|
|
|
product.r3c1 = multiplicand.r3c1 * multiplier;
|
|
product.r3c2 = multiplicand.r3c2 * multiplier;
|
|
product.r3c3 = multiplicand.r3c3 * multiplier;
|
|
}
|
|
|
|
public static void Divide(in DPMatrix3x3 dividend, double divisor, out DPMatrix3x3 quotient)
|
|
{
|
|
quotient.r1c1 = dividend.r1c1 / divisor;
|
|
quotient.r1c2 = dividend.r1c2 / divisor;
|
|
quotient.r1c3 = dividend.r1c3 / divisor;
|
|
|
|
quotient.r2c1 = dividend.r2c1 / divisor;
|
|
quotient.r2c2 = dividend.r2c2 / divisor;
|
|
quotient.r2c3 = dividend.r2c3 / divisor;
|
|
|
|
quotient.r3c1 = dividend.r3c1 / divisor;
|
|
quotient.r3c2 = dividend.r3c2 / divisor;
|
|
quotient.r3c3 = dividend.r3c3 / divisor;
|
|
}
|
|
|
|
public static void GetRightProduct(in DPMatrix3x3 matrix, in DPVector3 vector, out DPVector3 result)
|
|
{
|
|
double x1 = matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2 + matrix.r1c3 * vector.x3;
|
|
double x2 = matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2 + matrix.r2c3 * vector.x3;
|
|
double x3 = matrix.r3c1 * vector.x1 + matrix.r3c2 * vector.x2 + matrix.r3c3 * vector.x3;
|
|
|
|
result.x1 = x1;
|
|
result.x2 = x2;
|
|
result.x3 = x3;
|
|
}
|
|
|
|
public static void GetLeftProduct(in DPVector3 vector, in DPMatrix3x3 matrix, out DPVector3 result)
|
|
{
|
|
double x1 = vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1 + vector.x3 * matrix.r3c1;
|
|
double x2 = vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2 + vector.x3 * matrix.r3c2;
|
|
double x3 = vector.x1 * matrix.r1c3 + vector.x2 * matrix.r2c3 + vector.x3 * matrix.r3c3;
|
|
|
|
result.x1 = x1;
|
|
result.x2 = x2;
|
|
result.x3 = x3;
|
|
}
|
|
|
|
public static void LoadZero(out DPMatrix3x3 matrix)
|
|
{
|
|
matrix.r1c1 = 0.0;
|
|
matrix.r1c2 = 0.0;
|
|
matrix.r1c3 = 0.0;
|
|
|
|
matrix.r2c1 = 0.0;
|
|
matrix.r2c2 = 0.0;
|
|
matrix.r2c3 = 0.0;
|
|
|
|
matrix.r3c1 = 0.0;
|
|
matrix.r3c2 = 0.0;
|
|
matrix.r3c3 = 0.0;
|
|
}
|
|
|
|
public static void LoadIdentity(out DPMatrix3x3 matrix)
|
|
{
|
|
matrix.r1c1 = 1.0;
|
|
matrix.r1c2 = 0.0;
|
|
matrix.r1c3 = 0.0;
|
|
|
|
matrix.r2c1 = 0.0;
|
|
matrix.r2c2 = 1.0;
|
|
matrix.r2c3 = 0.0;
|
|
|
|
matrix.r3c1 = 0.0;
|
|
matrix.r3c2 = 0.0;
|
|
matrix.r3c3 = 1.0;
|
|
}
|
|
|
|
public static void LoadDiagonal(double d1, double d2, double d3, out DPMatrix3x3 matrix)
|
|
{
|
|
matrix.r1c1 = d1;
|
|
matrix.r1c2 = 0.0;
|
|
matrix.r1c3 = 0.0;
|
|
|
|
matrix.r2c1 = 0.0;
|
|
matrix.r2c2 = d2;
|
|
matrix.r2c3 = 0.0;
|
|
|
|
matrix.r3c1 = 0.0;
|
|
matrix.r3c2 = 0.0;
|
|
matrix.r3c3 = d3;
|
|
}
|
|
}
|
|
}
|