/* * 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: 10 Feb 2019 */ namespace BasicGeometry { public struct FP32Matrix2x2 { public float r1c1 = 0.0f, r1c2 = 0.0f; public float r2c1 = 0.0f, r2c2 = 0.0f; public FP32Matrix2x2(float d1, float d2) { this.r1c1 = d1; this.r2c2 = d2; } public FP32Matrix2x2(in FP32Matrix2x2 matrix) { this.r1c1 = matrix.r1c1; this.r1c2 = matrix.r1c2; this.r2c1 = matrix.r2c1; this.r2c2 = matrix.r2c2; } public FP32Matrix2x2(in FP64Matrix2x2 matrix) { this.r1c1 = (float)matrix.r1c1; this.r1c2 = (float)matrix.r1c2; this.r2c1 = (float)matrix.r2c1; this.r2c2 = (float)matrix.r2c2; } public readonly float GetDeterminant() { return this.r1c1 * this.r2c2 - this.r1c2 * this.r2c1; } public readonly bool IsSingular() { float determinant = this.GetDeterminant(); return -FP32Utility.EPSYLON <= determinant && determinant <= FP32Utility.EPSYLON; } public void Transpose() { (this.r1c2, this.r2c1) = (this.r2c1, this.r1c2); } public bool Invert() { float determinant = this.GetDeterminant(); if (-FP32Utility.EPSYLON <= determinant && determinant <= FP32Utility.EPSYLON) { return false; } float r1c1 = this.r2c2; float r1c2 = -this.r1c2; float r2c1 = -this.r2c1; float r2c2 = this.r1c1; float multiplier = 1.0f / determinant; this.r1c1 = r1c1 * multiplier; this.r1c2 = r1c2 * multiplier; this.r2c1 = r2c1 * multiplier; this.r2c2 = r2c2 * multiplier; return true; } public void Reset() { this.r1c1 = 0.0f; this.r1c2 = 0.0f; this.r2c1 = 0.0f; this.r2c2 = 0.0f; } public void SetToIdentity() { this.r1c1 = 1.0f; this.r1c2 = 0.0f; this.r2c1 = 0.0f; this.r2c2 = 1.0f; } public void SetToDiagonal(float d1, float d2) { this.r1c1 = d1; this.r1c2 = 0.0f; this.r2c1 = 0.0f; this.r2c2 = d2; } public void SetValues(in FP32Matrix2x2 matrix) { this.r1c1 = matrix.r1c1; this.r1c2 = matrix.r1c2; this.r2c1 = matrix.r2c1; this.r2c2 = matrix.r2c2; } public void SetValues(in FP64Matrix2x2 matrix) { this.r1c1 = (float)matrix.r1c1; this.r1c2 = (float)matrix.r1c2; this.r2c1 = (float)matrix.r2c1; this.r2c2 = (float)matrix.r2c2; } public void SetTransposedOf(in FP32Matrix2x2 matrix) { this.r1c1 = matrix.r1c1; this.r2c2 = matrix.r2c2; (this.r1c2, this.r2c1) = (matrix.r2c1, matrix.r1c2); } public void SetTransposedOf(in FP64Matrix2x2 matrix) { this.r1c1 = (float)matrix.r1c1; this.r1c2 = (float)matrix.r2c1; this.r2c1 = (float)matrix.r1c2; this.r2c2 = (float)matrix.r2c2; } public bool SetInvertedOf(in FP32Matrix2x2 matrix) { float determinant = matrix.GetDeterminant(); if (-FP32Utility.EPSYLON <= determinant && determinant <= FP32Utility.EPSYLON) { return false; } float r1c1 = matrix.r2c2; float r1c2 = -matrix.r1c2; float r2c1 = -matrix.r2c1; float r2c2 = matrix.r1c1; float multiplier = 1.0f / determinant; this.r1c1 = r1c1 * multiplier; this.r1c2 = r1c2 * multiplier; this.r2c1 = r2c1 * multiplier; this.r2c2 = r2c2 * multiplier; return true; } 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 SetColumn1(float r1, float r2) { this.r1c1 = r1; this.r2c1 = r2; } public void SetColumn2(float r1, float r2) { this.r1c2 = r1; this.r2c2 = r2; } public void AppendScaled(in FP32Matrix2x2 matrix, float scale) { this.r1c1 += matrix.r1c1 * scale; this.r1c2 += matrix.r1c2 * scale; this.r2c1 += matrix.r2c1 * scale; this.r2c2 += matrix.r2c2 * scale; } public static void Add(in FP32Matrix2x2 matrix1, in FP32Matrix2x2 matrix2, out FP32Matrix2x2 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; } public static void Subtract(in FP32Matrix2x2 minuend, in FP32Matrix2x2 subtrahend, out FP32Matrix2x2 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; } public static void Multiply(in FP32Matrix2x2 multiplicand, float multiplier, out FP32Matrix2x2 product) { product.r1c1 = multiplicand.r1c1 * multiplier; product.r1c2 = multiplicand.r1c2 * multiplier; product.r2c1 = multiplicand.r2c1 * multiplier; product.r2c2 = multiplicand.r2c2 * multiplier; } public static void Divide(in FP32Matrix2x2 dividend, float divisor, out FP32Matrix2x2 quotient) { Multiply(dividend, 1.0f / divisor, out quotient); } public static void GetRightProduct(in FP32Matrix2x2 matrix, in FP32Vector2 vector, out FP32Vector2 result) { float x1 = matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2; float x2 = matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2; result.x1 = x1; result.x2 = x2; } public static void GetLeftProduct(in FP32Vector2 vector, in FP32Matrix2x2 matrix, out FP32Vector2 result) { float x1 = vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1; float x2 = vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2; result.x1 = x1; result.x2 = x2; } public static void LoadZero(out FP32Matrix2x2 matrix) { matrix.r1c1 = 0.0f; matrix.r1c2 = 0.0f; matrix.r2c1 = 0.0f; matrix.r2c2 = 0.0f; } public static void LoadIdentity(out FP32Matrix2x2 matrix) { matrix.r1c1 = 1.0f; matrix.r1c2 = 0.0f; matrix.r2c1 = 0.0f; matrix.r2c2 = 1.0f; } public static void LoadDiagonal(float d1, float d2, out FP32Matrix2x2 matrix) { matrix.r1c1 = d1; matrix.r1c2 = 0.0f; matrix.r2c1 = 0.0f; matrix.r2c2 = d2; } } }