/* * Copyright 2019-2025 Andrey Pokidov * * 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 ); } } }