353 lines
11 KiB
C#
353 lines
11 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: 1 Feb 2019
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*/
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namespace Geometry
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{
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public struct SPVector2
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{
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public static readonly SPVector2 ZERO = new SPVector2(0.0f, 0.0f);
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public float x1;
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public float x2;
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public SPVector2(float x1, float x2)
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{
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this.x1 = x1;
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this.x2 = x2;
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}
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public SPVector2(in SPVector2 vector)
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{
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this.x1 = vector.x1;
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this.x2 = vector.x2;
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}
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public SPVector2(in DPVector2 vector)
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{
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this.x1 = (float)vector.x1;
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this.x2 = (float)vector.x2;
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}
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public readonly float GetSquareModule()
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{
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return this.x1 * this.x1 + this.x2 * this.x2;
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}
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public readonly float GetModule()
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{
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return MathF.Sqrt(this.GetSquareModule());
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}
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public int Normalize()
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{
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float squareModule = this.GetSquareModule();
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if (1.0f - SPUtility.TWO_EPSYLON <= squareModule && squareModule <= 1.0f + SPUtility.TWO_EPSYLON)
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{
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return 1;
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}
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if (squareModule <= SPUtility.SQUARE_EPSYLON)
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{
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this.Reset();
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return 0;
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}
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float module = MathF.Sqrt(squareModule);
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this.x1 /= module;
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this.x2 /= module;
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return 1;
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}
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public readonly SPVector2 GetNormalized()
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{
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float squareModule = this.GetSquareModule();
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if (1.0f - SPUtility.TWO_EPSYLON <= squareModule && squareModule <= 1.0f + SPUtility.TWO_EPSYLON)
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{
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return this;
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}
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if (squareModule <= SPUtility.SQUARE_EPSYLON)
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{
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return ZERO;
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}
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float module = MathF.Sqrt(squareModule);
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return new SPVector2(
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this.x1 / module,
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this.x2 / module
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);
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}
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public void Reverse()
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{
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this.x1 = -this.x1;
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this.x2 = -this.x2;
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}
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public readonly bool IsZero()
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{
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return this.GetSquareModule() <= SPUtility.SQUARE_EPSYLON;
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}
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public readonly bool IsUnit()
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{
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float squareModule = this.GetSquareModule();
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return 1.0f - SPUtility.TWO_EPSYLON <= squareModule && squareModule <= SPUtility.EPSYLON;
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}
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public void Reset()
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{
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this.x1 = 0.0f;
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this.x2 = 0.0f;
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}
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public void SetValues(float x1, float x2)
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{
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this.x1 = x1;
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this.x2 = x2;
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}
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public void SetValues(in SPVector2 vector)
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{
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this.x1 = vector.x1;
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this.x2 = vector.x2;
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}
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public void SetValues(in DPVector2 vector)
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{
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this.x1 = (float)vector.x1;
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this.x2 = (float)vector.x2;
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}
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public void SetReverseOf(in SPVector2 vector)
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{
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this.x1 = -vector.x1;
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this.x2 = -vector.x2;
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}
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public void SetReverseOf(in DPVector2 vector)
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{
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this.x1 = -(float)vector.x1;
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this.x2 = -(float)vector.x2;
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}
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public readonly override string ToString()
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{
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return String.Format("SPVector2({0}, {1})", this.x1, this.x2);
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}
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public static void Add(in SPVector2 vector1, in SPVector2 vector2, out SPVector2 sum)
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{
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sum.x1 = vector1.x1 + vector2.x1;
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sum.x2 = vector1.x2 + vector2.x2;
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}
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public static void Subtract(in SPVector2 minuend, in SPVector2 subtrahend, out SPVector2 difference)
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{
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difference.x1 = minuend.x1 - subtrahend.x1;
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difference.x2 = minuend.x2 - subtrahend.x2;
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}
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public static void Muliply(in SPVector2 multiplicand, float multiplier, out SPVector2 product)
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{
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product.x1 = multiplicand.x1 * multiplier;
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product.x2 = multiplicand.x2 * multiplier;
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}
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public static void Divide(in SPVector2 dividend, float divisor, out SPVector2 quotient)
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{
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quotient.x1 = dividend.x1 / divisor;
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quotient.x2 = dividend.x2 / divisor;
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}
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public static void GetWeightedSum2(
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float weight1, in SPVector2 vector1,
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float weight2, in SPVector2 vector2,
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out SPVector2 sum
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)
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{
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sum.x1 = vector1.x1 * weight1 + vector2.x1 * weight2;
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sum.x2 = vector1.x2 * weight1 + vector2.x2 * weight2;
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}
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public static void GetWeightedSum3(
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float weight1, in SPVector2 vector1,
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float weight2, in SPVector2 vector2,
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float weight3, in SPVector2 vector3,
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out SPVector2 sum
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)
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{
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sum.x1 = vector1.x1 * weight1 + vector2.x1 * weight2 + vector3.x1 * weight3;
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sum.x2 = vector1.x2 * weight1 + vector2.x2 * weight2 + vector3.x2 * weight3;
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}
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public static void GetWeightedSum4(
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float weight1, in SPVector2 vector1,
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float weight2, in SPVector2 vector2,
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float weight3, in SPVector2 vector3,
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float weight4, in SPVector2 vector4,
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out SPVector2 sum
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)
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{
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sum.x1 = (vector1.x1 * weight1 + vector2.x1 * weight2) + (vector3.x1 * weight3 + vector4.x1 * weight4);
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sum.x2 = (vector1.x2 * weight1 + vector2.x2 * weight2) + (vector3.x2 * weight3 + vector4.x2 * weight4);
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}
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public static void GetWeightedSum5(
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float weight1, in SPVector2 vector1,
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float weight2, in SPVector2 vector2,
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float weight3, in SPVector2 vector3,
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float weight4, in SPVector2 vector4,
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float weight5, in SPVector2 vector5,
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out SPVector2 sum
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)
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{
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sum.x1 = (vector1.x1 * weight1 + vector2.x1 * weight2) + (vector3.x1 * weight3 + vector4.x1 * weight4);
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sum.x2 = (vector1.x2 * weight1 + vector2.x2 * weight2) + (vector3.x2 * weight3 + vector4.x2 * weight4);
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}
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public static void GetMean2(
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in SPVector2 vector1,
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in SPVector2 vector2,
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out SPVector2 result
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)
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{
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result.x1 = (vector1.x1 + vector2.x1) * 0.5f;
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result.x2 = (vector1.x2 + vector2.x2) * 0.5f;
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}
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public static void GetMean3(
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in SPVector2 vector1,
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in SPVector2 vector2,
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in SPVector2 vector3,
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out SPVector2 result
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)
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{
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result.x1 = (vector1.x1 + vector2.x1 + vector3.x1) * SPUtility.ONE_THIRD;
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result.x2 = (vector1.x2 + vector2.x2 + vector3.x2) * SPUtility.ONE_THIRD;
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}
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public static void GetMean4(
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in SPVector2 vector1,
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in SPVector2 vector2,
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in SPVector2 vector3,
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in SPVector2 vector4,
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out SPVector2 result
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)
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{
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result.x1 = ((vector1.x1 + vector2.x1) + (vector3.x1 + vector4.x1)) * 0.25f;
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result.x2 = ((vector1.x2 + vector2.x2) + (vector3.x2 + vector4.x2)) * 0.25f;
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}
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public static void GetMean5(
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in SPVector2 vector1,
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in SPVector2 vector2,
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in SPVector2 vector3,
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in SPVector2 vector4,
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in SPVector2 vector5,
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out SPVector2 result
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)
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{
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result.x1 = ((vector1.x1 + vector2.x1) + (vector3.x1 + vector4.x1) + vector5.x1) * 0.2f;
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result.x2 = ((vector1.x2 + vector2.x2) + (vector3.x2 + vector4.x2) + vector5.x2) * 0.2f;
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}
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public static float GetScalarProduct(in SPVector2 vector1, in SPVector2 vector2)
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{
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return vector1.x1 * vector2.x1 + vector1.x2 * vector2.x2;
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}
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public static float GetCrossProduct(in SPVector2 vector1, in SPVector2 vector2)
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{
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return vector1.x1 * vector2.x2 - vector1.x2 * vector2.x1;
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}
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public static float GetAngle(in SPVector2 vector1, in SPVector2 vector2, AngleUnit unit)
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{
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float squareModule1 = vector1.GetSquareModule();
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if (squareModule1 <= SPUtility.SQUARE_EPSYLON)
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{
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return 0.0f;
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}
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float squareModule2 = vector2.GetSquareModule();
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if (squareModule2 <= SPUtility.SQUARE_EPSYLON)
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{
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return 0.0f;
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}
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float cosine = SPVector2.GetScalarProduct(vector1, vector2) / MathF.Sqrt(squareModule1 * squareModule2);
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if (1.0f - SPUtility.EPSYLON <= cosine)
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{
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return 0.0f;
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}
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if (cosine <= -(1.0f - SPUtility.EPSYLON))
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{
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return SPAngle.GetHalfCircle(unit);
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}
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return SPAngle.ConvertFromRadians(MathF.Acos(cosine), unit);
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}
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public static float GetSquareDistance(in SPVector2 vector1, in SPVector2 vector2)
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{
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float dx1 = vector1.x1 - vector2.x1;
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float dx2 = vector1.x2 - vector2.x2;
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return dx1 * dx1 + dx2 * dx2;
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}
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public static float GetDistance(in SPVector2 vector1, in SPVector2 vector2)
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{
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return MathF.Sqrt(GetSquareDistance(vector1, vector2));
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}
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public static bool AreEqual(in SPVector2 vector1, in SPVector2 vector2)
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{
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float squareModule1 = vector1.GetSquareModule();
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float squareModule2 = vector2.GetSquareModule();
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float squareModule3 = GetSquareDistance(vector1, vector2);
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// 2.0f means dimension amount
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if (squareModule1 < SPUtility.EPSYLON_EFFECTIVENESS_LIMIT || squareModule2 < SPUtility.EPSYLON_EFFECTIVENESS_LIMIT)
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{
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return squareModule3 < (2.0f * SPUtility.SQUARE_EPSYLON);
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}
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if (squareModule1 <= squareModule2)
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{
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return squareModule3 <= (2.0f * SPUtility.SQUARE_EPSYLON) * squareModule2;
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}
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return squareModule3 <= (2.0f * SPUtility.SQUARE_EPSYLON) * squareModule1;
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}
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}
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}
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