/* * 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: 1 Feb 2019 */ namespace BGC { public struct FP64Vector2 { public static readonly FP64Vector2 ZERO = new FP64Vector2(0.0, 0.0); public double x1; public double x2; public FP64Vector2(double x1, double x2) { this.x1 = x1; this.x2 = x2; } public FP64Vector2(in FP64Vector2 vector) { this.x1 = vector.x1; this.x2 = vector.x2; } public FP64Vector2(in FP32Vector2 vector) { this.x1 = vector.x1; this.x2 = vector.x2; } public readonly double GetSquareModule() { return this.x1 * this.x1 + this.x2 * this.x2; } public readonly double GetModule() { return Math.Sqrt(this.GetSquareModule()); } public int Normalize() { double squareModule = this.GetSquareModule(); if (1.0 - FP64Utility.TWO_EPSYLON <= squareModule && squareModule <= 1.0 + FP64Utility.TWO_EPSYLON) { return 1; } if (squareModule <= FP64Utility.SQUARE_EPSYLON) { this.Reset(); return 0; } double module = Math.Sqrt(squareModule); this.x1 /= module; this.x2 /= module; return 1; } public void Reverse() { this.x1 = -this.x1; this.x2 = -this.x2; } public readonly bool IsZero() { return this.GetSquareModule() <= FP64Utility.SQUARE_EPSYLON; } public readonly bool IsUnit() { double squareModule = this.GetSquareModule(); return 1.0 - FP64Utility.TWO_EPSYLON <= squareModule && squareModule <= FP64Utility.EPSYLON; } public void Reset() { this.x1 = 0.0; this.x2 = 0.0; } public void SetValues(double x1, double x2) { this.x1 = x1; this.x2 = x2; } public void SetValues(in FP64Vector2 vector) { this.x1 = vector.x1; this.x2 = vector.x2; } public void SetValues(in FP32Vector2 vector) { this.x1 = vector.x1; this.x2 = vector.x2; } public void SetReverseOf(in FP64Vector2 vector) { this.x1 = -vector.x1; this.x2 = -vector.x2; } public void SetReverseOf(in FP32Vector2 vector) { this.x1 = -vector.x1; this.x2 = -vector.x2; } public void AppendScaled(FP64Vector2 summand, double scale) { this.x1 += summand.x1 * scale; this.x2 += summand.x2 * scale; } public readonly override string ToString() { return String.Format("DPVector2({0}, {1})", this.x1, this.x2); } public static void Add(in FP64Vector2 vector1, in FP64Vector2 vector2, out FP64Vector2 sum) { sum.x1 = vector1.x1 + vector2.x1; sum.x2 = vector1.x2 + vector2.x2; } public static void Subtract(in FP64Vector2 minuend, in FP64Vector2 subtrahend, out FP64Vector2 difference) { difference.x1 = minuend.x1 - subtrahend.x1; difference.x2 = minuend.x2 - subtrahend.x2; } public static void Muliply(in FP64Vector2 multiplicand, double multiplier, out FP64Vector2 product) { product.x1 = multiplicand.x1 * multiplier; product.x2 = multiplicand.x2 * multiplier; } public static void Divide(in FP64Vector2 dividend, double divisor, out FP64Vector2 quotient) { quotient.x1 = dividend.x1 / divisor; quotient.x2 = dividend.x2 / divisor; } public static void GetMean2(in FP64Vector2 vector1, in FP64Vector2 vector2, out FP64Vector2 result) { result.x1 = (vector1.x1 + vector2.x1) * 0.5; result.x2 = (vector1.x2 + vector2.x2) * 0.5; } public static void GetMean3(in FP64Vector2 vector1, in FP64Vector2 vector2, in FP64Vector2 vector3, out FP64Vector2 result) { result.x1 = (vector1.x1 + vector2.x1 + vector3.x1) * FP64Utility.ONE_THIRD; result.x2 = (vector1.x2 + vector2.x2 + vector3.x2) * FP64Utility.ONE_THIRD; } public static double GetScalarProduct(in FP64Vector2 vector1, in FP64Vector2 vector2) { return vector1.x1 * vector2.x1 + vector1.x2 * vector2.x2; } public static double GetCrossProduct(in FP64Vector2 vector1, in FP64Vector2 vector2) { return vector1.x1 * vector2.x2 - vector1.x2 * vector2.x1; } public static double GetAngle(in FP64Vector2 vector1, in FP64Vector2 vector2, AngleUnit unit) { double squareModule1 = vector1.GetSquareModule(); if (squareModule1 <= FP64Utility.SQUARE_EPSYLON) { return 0.0; } double squareModule2 = vector2.GetSquareModule(); if (squareModule2 <= FP64Utility.SQUARE_EPSYLON) { return 0.0; } double cosine = FP64Vector2.GetScalarProduct(vector1, vector2) / Math.Sqrt(squareModule1 * squareModule2); if (1.0 - FP64Utility.EPSYLON <= cosine) { return 0.0; } if (cosine <= -(1.0 - FP64Utility.EPSYLON)) { return FP64Angle.GetHalfCircle(unit); } return FP64Radians.ToUnits(Math.Acos(cosine), unit); } public static double GetSquareDistance(in FP64Vector2 vector1, in FP64Vector2 vector2) { double dx1 = vector1.x1 - vector2.x1; double dx2 = vector1.x2 - vector2.x2; return dx1 * dx1 + dx2 * dx2; } public static double GetDistance(in FP64Vector2 vector1, in FP64Vector2 vector2) { return Math.Sqrt(GetSquareDistance(vector1, vector2)); } public static bool AreEqual(in FP64Vector2 vector1, in FP64Vector2 vector2) { double squareModule1 = vector1.GetSquareModule(); double squareModule2 = vector2.GetSquareModule(); double squareModule3 = GetSquareDistance(vector1, vector2); // 2.0 means dimension amount if (squareModule1 < FP64Utility.EPSYLON_EFFECTIVENESS_LIMIT || squareModule2 < FP64Utility.EPSYLON_EFFECTIVENESS_LIMIT) { return squareModule3 < (2.0 * FP64Utility.SQUARE_EPSYLON); } if (squareModule1 <= squareModule2) { return squareModule3 <= (2.0 * FP64Utility.SQUARE_EPSYLON) * squareModule2; } return squareModule3 <= (2.0 * FP64Utility.SQUARE_EPSYLON) * squareModule1; } } }