bgc-net/Geometry/SPMatrix2x3.cs

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C#

/*
* Copyright 2019-2025 Andrey Pokidov <andrey.pokidov@gmail.com>
*
* 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.
*/
using System;
/*
* Author: Andrey Pokidov
* Date: 11 Nov 2024
*/
namespace Geometry
{
public struct SPMatrix2x3 {
public float r1c1, r1c2;
public float r2c1, r2c2;
public float r3c1, r3c2;
public SPMatrix2x3() {
this.r1c1 = 0.0f;
this.r1c2 = 0.0f;
this.r2c1 = 0.0f;
this.r2c2 = 0.0f;
this.r3c1 = 0.0f;
this.r3c2 = 0.0f;
}
public SPMatrix2x3(SPMatrix2x3 matrix) {
this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r1c2;
this.r2c1 = matrix.r2c1;
this.r2c2 = matrix.r2c2;
this.r3c1 = matrix.r3c1;
this.r3c2 = matrix.r3c2;
}
public SPMatrix2x3(DPMatrix2x3 matrix) {
this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r1c2;
this.r2c1 = (float) matrix.r2c1;
this.r2c2 = (float) matrix.r2c2;
this.r3c1 = (float) matrix.r3c1;
this.r3c2 = (float) matrix.r3c2;
}
public SPMatrix2x3(SPMatrix3x2 matrix) {
this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r2c1;
this.r2c1 = matrix.r1c2;
this.r2c2 = matrix.r2c2;
this.r3c1 = matrix.r1c3;
this.r3c2 = matrix.r2c3;
}
public SPMatrix2x3(DPMatrix3x2 matrix) {
this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r2c1;
this.r2c1 = (float) matrix.r1c2;
this.r2c2 = (float) matrix.r2c2;
this.r3c1 = (float) matrix.r1c3;
this.r3c2 = (float) matrix.r2c3;
}
public void Reset() {
this.r1c1 = 0.0f;
this.r1c2 = 0.0f;
this.r2c1 = 0.0f;
this.r2c2 = 0.0f;
this.r3c1 = 0.0f;
this.r3c2 = 0.0f;
}
public void SetValues(SPMatrix2x3 matrix) {
this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r1c2;
this.r2c1 = matrix.r2c1;
this.r2c2 = matrix.r2c2;
this.r3c1 = matrix.r3c1;
this.r3c2 = matrix.r3c2;
}
public void SetValues(DPMatrix2x3 matrix) {
this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r1c2;
this.r2c1 = (float) matrix.r2c1;
this.r2c2 = (float) matrix.r2c2;
this.r3c1 = (float) matrix.r3c1;
this.r3c2 = (float) matrix.r3c2;
}
public void SetTransposed(SPMatrix3x2 matrix) {
this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r2c1;
this.r2c1 = matrix.r1c2;
this.r2c2 = matrix.r2c2;
this.r3c1 = matrix.r1c3;
this.r3c2 = matrix.r2c3;
}
public void SetTransposed(DPMatrix3x2 matrix) {
this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r2c1;
this.r2c1 = (float) matrix.r1c2;
this.r2c2 = (float) matrix.r2c2;
this.r3c1 = (float) matrix.r1c3;
this.r3c2 = (float) matrix.r2c3;
}
public void SetRow1(float c1, float c2) {
this.r1c1 = c1;
this.r1c2 = c2;
}
public void SetRow2(float c1, float c2) {
this.r2c1 = c1;
this.r2c2 = c2;
}
public void SetRow3(float c1, float c2) {
this.r3c1 = c1;
this.r3c2 = c2;
}
public void SetColumn1(float r1, float r2, float r3) {
this.r1c1 = r1;
this.r2c1 = r2;
this.r3c1 = r3;
}
public void SetColumn2(float r1, float r2, float r3) {
this.r1c2 = r1;
this.r2c2 = r2;
this.r3c2 = r3;
}
public static void Add(SPMatrix2x3 matrix1, SPMatrix2x3 matrix2, SPMatrix2x3 result) {
result.r1c1 = matrix1.r1c1 + matrix2.r1c1;
result.r1c2 = matrix1.r1c2 + matrix2.r1c2;
result.r2c1 = matrix1.r2c1 + matrix2.r2c1;
result.r2c2 = matrix1.r2c2 + matrix2.r2c2;
result.r3c1 = matrix1.r3c1 + matrix2.r3c1;
result.r3c2 = matrix1.r3c2 + matrix2.r3c2;
}
public static void Add3(
SPMatrix2x3 matrix1,
SPMatrix2x3 matrix2,
SPMatrix2x3 matrix3,
SPMatrix2x3 sum
) {
sum.r1c1 = matrix1.r1c1 + matrix2.r1c1 + matrix3.r1c1;
sum.r1c2 = matrix1.r1c2 + matrix2.r1c2 + matrix3.r1c2;
sum.r2c1 = matrix1.r2c1 + matrix2.r2c1 + matrix3.r2c1;
sum.r2c2 = matrix1.r2c2 + matrix2.r2c2 + matrix3.r2c2;
sum.r3c1 = matrix1.r3c1 + matrix2.r3c1 + matrix3.r3c1;
sum.r3c2 = matrix1.r3c2 + matrix2.r3c2 + matrix3.r3c2;
}
public static void Add4(
SPMatrix2x3 matrix1,
SPMatrix2x3 matrix2,
SPMatrix2x3 matrix3,
SPMatrix2x3 matrix4,
SPMatrix2x3 sum
) {
sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1);
sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2);
sum.r2c1 = (matrix1.r2c1 + matrix2.r2c1) + (matrix3.r2c1 + matrix4.r2c1);
sum.r2c2 = (matrix1.r2c2 + matrix2.r2c2) + (matrix3.r2c2 + matrix4.r2c2);
sum.r3c1 = (matrix1.r3c1 + matrix2.r3c1) + (matrix3.r3c1 + matrix4.r3c1);
sum.r3c2 = (matrix1.r3c2 + matrix2.r3c2) + (matrix3.r3c2 + matrix4.r3c2);
}
public static void Add5(
SPMatrix2x3 matrix1,
SPMatrix2x3 matrix2,
SPMatrix2x3 matrix3,
SPMatrix2x3 matrix4,
SPMatrix2x3 matrix5,
SPMatrix2x3 sum
) {
sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1) + matrix5.r1c1;
sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2) + matrix5.r1c2;
sum.r2c1 = (matrix1.r2c1 + matrix2.r2c1) + (matrix3.r2c1 + matrix4.r2c1) + matrix5.r2c1;
sum.r2c2 = (matrix1.r2c2 + matrix2.r2c2) + (matrix3.r2c2 + matrix4.r2c2) + matrix5.r2c2;
sum.r3c1 = (matrix1.r3c1 + matrix2.r3c1) + (matrix3.r3c1 + matrix4.r3c1) + matrix5.r3c1;
sum.r3c2 = (matrix1.r3c2 + matrix2.r3c2) + (matrix3.r3c2 + matrix4.r3c2) + matrix5.r3c2;
}
public static void Subtract(SPMatrix2x3 minuend, SPMatrix2x3 subtrahend, SPMatrix2x3 difference) {
difference.r1c1 = minuend.r1c1 - subtrahend.r1c1;
difference.r1c2 = minuend.r1c2 - subtrahend.r1c2;
difference.r2c1 = minuend.r2c1 - subtrahend.r2c1;
difference.r2c2 = minuend.r2c2 - subtrahend.r2c2;
difference.r3c1 = minuend.r3c1 - subtrahend.r3c1;
difference.r3c2 = minuend.r3c2 - subtrahend.r3c2;
}
public static void GetWeightedSum2(
float weight1, SPMatrix2x3 matrix1,
float weight2, SPMatrix2x3 matrix2,
SPMatrix2x3 sum
) {
sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2;
sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2;
sum.r2c1 = matrix1.r2c1 * weight1 + matrix2.r2c1 * weight2;
sum.r2c2 = matrix1.r2c2 * weight1 + matrix2.r2c2 * weight2;
sum.r3c1 = matrix1.r3c1 * weight1 + matrix2.r3c1 * weight2;
sum.r3c2 = matrix1.r3c2 * weight1 + matrix2.r3c2 * weight2;
}
public static void GetWeightedSum3(
float weight1, SPMatrix2x3 matrix1,
float weight2, SPMatrix2x3 matrix2,
float weight3, SPMatrix2x3 matrix3,
SPMatrix2x3 sum
) {
sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2 + matrix3.r1c1 * weight3;
sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2 + matrix3.r1c2 * weight3;
sum.r2c1 = matrix1.r2c1 * weight1 + matrix2.r2c1 * weight2 + matrix3.r2c1 * weight3;
sum.r2c2 = matrix1.r2c2 * weight1 + matrix2.r2c2 * weight2 + matrix3.r2c2 * weight3;
sum.r3c1 = matrix1.r3c1 * weight1 + matrix2.r3c1 * weight2 + matrix3.r3c1 * weight3;
sum.r3c2 = matrix1.r3c2 * weight1 + matrix2.r3c2 * weight2 + matrix3.r3c2 * weight3;
}
public static void GetWeightedSum4(
float weight1, SPMatrix2x3 matrix1,
float weight2, SPMatrix2x3 matrix2,
float weight3, SPMatrix2x3 matrix3,
float weight4, SPMatrix2x3 matrix4,
SPMatrix2x3 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.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.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);
}
public static void GetWeightedSum5(
float weight1, SPMatrix2x3 matrix1,
float weight2, SPMatrix2x3 matrix2,
float weight3, SPMatrix2x3 matrix3,
float weight4, SPMatrix2x3 matrix4,
float weight5, SPMatrix2x3 matrix5,
SPMatrix2x3 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.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.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;
}
public static void Multiply(SPMatrix2x3 multiplicand, float multiplier, SPMatrix2x3 product) {
product.r1c1 = multiplicand.r1c1 * multiplier;
product.r1c2 = multiplicand.r1c2 * multiplier;
product.r2c1 = multiplicand.r2c1 * multiplier;
product.r2c2 = multiplicand.r2c2 * multiplier;
product.r3c1 = multiplicand.r3c1 * multiplier;
product.r3c2 = multiplicand.r3c2 * multiplier;
}
public static void Divide(SPMatrix2x3 dividend, float divisor, SPMatrix2x3 quotient) {
quotient.r1c1 = dividend.r1c1 / divisor;
quotient.r1c2 = dividend.r1c2 / divisor;
quotient.r2c1 = dividend.r2c1 / divisor;
quotient.r2c2 = dividend.r2c2 / divisor;
quotient.r3c1 = dividend.r3c1 / divisor;
quotient.r3c2 = dividend.r3c2 / divisor;
}
public static void GetRightProduct(SPMatrix2x3 matrix, SPVector2 vector, SPVector3 result) {
result.SetValues(
matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2,
matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2,
matrix.r3c1 * vector.x1 + matrix.r3c2 * vector.x2
);
}
public static void GetLeftProduct(SPVector3 vector, SPMatrix2x3 matrix, SPVector2 result) {
result.SetValues(
vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1 + vector.x3 * matrix.r3c1,
vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2 + vector.x3 * matrix.r3c2
);
}
}
}