641 lines
33 KiB
C
641 lines
33 KiB
C
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/*
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** Command & Conquer Renegade(tm)
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** Copyright 2025 Electronic Arts Inc.
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**
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** This program is free software: you can redistribute it and/or modify
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** it under the terms of the GNU General Public License as published by
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** the Free Software Foundation, either version 3 of the License, or
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** (at your option) any later version.
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**
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** This program is distributed in the hope that it will be useful,
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** but WITHOUT ANY WARRANTY; without even the implied warranty of
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** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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** GNU General Public License for more details.
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**
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** You should have received a copy of the GNU General Public License
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** along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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/* $Header: /Commando/Code/wwmath/vector2.h 19 9/01/00 5:30p Ian_l $ */
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/***********************************************************************************************
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*** Confidential - Westwood Studios ***
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***********************************************************************************************
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* *
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* Project Name : Westwood 3D *
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* *
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* File Name : VECTOR2.H *
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* *
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* Programmer : Greg Hjelstrom *
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* *
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* Start Date : 02/24/97 *
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* *
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* Last Update : February 24, 1997 [GH] *
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* *
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*---------------------------------------------------------------------------------------------*
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* Functions: *
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* Scalar Division Operator -- Divide a vector by a scalar *
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* Scalar Multiply Operator -- Multiply a vector by a scalar *
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* Vector Addition Operator -- Add two vectors *
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* Vector Subtraction Operator -- Subract two vectors *
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* Vector Inner Product Operator -- Compute the inner or dot product *
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* Vector Equality Operator -- Detemine if two vectors are identical *
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* Equal_Within_Epsilon -- Determine if two vectors are identical within *
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* Vector Inequality Operator -- Detemine if two vectors are identical *
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* Swap -- swap two Vector2's *
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* Vector2::Is_Valid -- Verifies that all components are valid floats *
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* Vector2::Update_Min -- sets each component of the vector to the min of this and a. *
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* Vector2::Update_Max -- sets each component of the vector to the max of this and a. *
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* Vector2::Scale -- multiply components of a vector by independant scaling factors. *
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* Vector2::Lerp -- linearly interpolates two Vector2's *
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* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
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#if defined(_MSC_VER)
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#pragma once
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#endif
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#ifndef VECTOR2_H
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#define VECTOR2_H
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#include "always.h"
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#include "wwmath.h"
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#include <math.h>
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/*
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** 2-Dimensional Vectors
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*/
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class Vector2
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{
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public:
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union {
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float X;
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float U;
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};
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union {
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float Y;
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float V;
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};
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// Constructors
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Vector2(void) {};
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Vector2(const Vector2 & v) { X = v.X; Y = v.Y; }
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Vector2(float x, float y) { X = x; Y = y; }
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Vector2(const float vector[2]) { X = vector[0]; Y = vector[1]; }
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// Assignment
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Vector2 & operator = (const Vector2 & v) { X = v[0]; Y = v[1]; return *this; }
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void Set(float x, float y) { X = x; Y = y; }
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void Set(const Vector2 & v) { X = v.X; Y = v.Y; }
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// Array access
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float & operator [](int i) { return (&X)[i]; }
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const float & operator [](int i) const { return (&X)[i]; }
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// normalize, compute length
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void Normalize(void);
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float Length(void) const;
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float Length2(void) const;
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// unary operators
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Vector2 operator-() const { return Vector2(-X,-Y); }
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Vector2 operator+() const { return *this; }
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Vector2 & operator += (const Vector2 & v) { X += v.X; Y += v.Y; return *this; }
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Vector2 & operator -= (const Vector2 & v) { X -= v.X; Y -= v.Y; return *this; }
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Vector2 & operator *= (float k) { X = (float)(X*k); Y=(float)(Y*k); return *this; }
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Vector2 & operator /= (float k) { k=1.0f/k; X*=k; Y*=k; return *this; }
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// scalar multiplication, division
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friend Vector2 operator * (const Vector2 &a,float k);
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friend Vector2 operator * (float k,const Vector2 &a);
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friend Vector2 operator / (const Vector2 &a,float k);
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// vector addition,subtraction
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friend Vector2 operator + (const Vector2 &a,const Vector2 &b);
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friend Vector2 operator - (const Vector2 &a,const Vector2 &b);
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// dot product / inner product
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friend float operator * (const Vector2 &a,const Vector2 &b);
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static float Dot_Product(const Vector2 &a,const Vector2 &b);
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// dot product between a and perpendicular vector to b
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static float Perp_Dot_Product(const Vector2 &a,const Vector2 &b);
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// Equality operators
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friend bool operator == (const Vector2 &a,const Vector2 &b);
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friend bool operator != (const Vector2 &a,const Vector2 &b);
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friend bool Equal_Within_Epsilon(const Vector2 &a,const Vector2 &b,float epsilon);
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// Rotation
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void Rotate(float theta);
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void Rotate(float s, float c);
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bool Rotate_Towards_Vector(Vector2 &target, float max_theta, bool & positive_turn);
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bool Rotate_Towards_Vector(Vector2 &target, float max_s, float max_c, bool & positive_turn);
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// verify that none of the members of this vector are invalid floats
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bool Is_Valid(void) const;
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// make this vector the min or max of itself and the passed vector
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void Update_Min (const Vector2 & a);
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void Update_Max (const Vector2 & a);
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void Scale (float a, float b);
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static float Distance(const Vector2 &p1, const Vector2 &p2);
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static float Quick_Distance(const Vector2 &p1, const Vector2 &p2);
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// interpolate between two Vector2's
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static void Lerp(const Vector2 & a,const Vector2 & b,float t,Vector2 * set_result);
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};
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/**************************************************************************
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* Scalar Multiply Operator -- Multiply a vector by a scalar *
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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* 02/24/1997 GH : Created. *
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*========================================================================*/
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inline Vector2 operator * (const Vector2 &a,float k)
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{
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return Vector2((a[0] * k),(a[1] * k));
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}
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inline Vector2 operator * (float k, const Vector2 &a)
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{
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return Vector2((a[0] * k),(a[1] * k));
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}
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/**************************************************************************
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* Scalar Division Operator -- Divide a vector by a scalar *
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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*========================================================================*/
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inline Vector2 operator / (const Vector2 &a,float k)
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{
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float ook=1.0f/k;
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return Vector2((a[0] * ook),(a[1] * ook));
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}
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/**************************************************************************
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* Vector Addition Operator -- Add two vectors *
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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* 02/24/1997 GH : Created. *
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*========================================================================*/
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inline Vector2 operator + (const Vector2 &a,const Vector2 &b)
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{
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return Vector2(
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a.X + b.X,
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a.Y + b.Y
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);
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}
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/**************************************************************************
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* Vector Subtraction Operator -- Subract two vectors *
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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* 02/24/1997 GH : Created. *
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*========================================================================*/
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inline Vector2 operator - (const Vector2 &a,const Vector2 &b)
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{
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return Vector2(
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a.X - b.X,
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a.Y - b.Y
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);
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}
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/**************************************************************************
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* Vector Inner Product -- Compute the inner or dot product of two vector *
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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*========================================================================*/
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inline float operator * (const Vector2 &a,const Vector2 &b)
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{
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return a.X*b.X + a.Y*b.Y;
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}
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inline float Vector2::Dot_Product(const Vector2 &a,const Vector2 &b)
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{
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return a*b;
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}
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inline float Vector2::Perp_Dot_Product(const Vector2 &a,const Vector2 &b)
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{
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return a.X * -b.Y + a.Y * b.X;
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}
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/**************************************************************************
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* Vector Equality Operator -- Detemine if two vectors are identical *
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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*========================================================================*/
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inline bool operator == (const Vector2 &a,const Vector2 &b)
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{
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return ( (a[0] == b[0]) && (a[1] == b[1]));
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}
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/**************************************************************************
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* Vector Inequality Operator -- Detemine if two vectors are identical *
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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*========================================================================*/
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inline bool operator != (const Vector2 &a,const Vector2 &b)
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{
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return ( (a[0] != b[0]) || (a[1] != b[1]));
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}
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/**************************************************************************
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* Equal_Within_Epsilon -- Determine if two vectors are identical within e*
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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*========================================================================*/
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inline bool Equal_Within_Epsilon(const Vector2 &a,const Vector2 &b,float epsilon)
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{
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return( (WWMath::Fabs(a.X - b.X) < epsilon) && (WWMath::Fabs(a.Y - b.Y) < epsilon) );
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}
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/**************************************************************************
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* Vector2::Normalize -- Normalizes the vector. *
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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*========================================================================*/
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inline void Vector2::Normalize()
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{
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float len2 = Length2();
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if (len2 != 0.0f) {
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float oolen = WWMath::Inv_Sqrt(len2);
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X *= oolen;
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Y *= oolen;
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}
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}
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inline Vector2 Normalize(const Vector2 & vec)
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{
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float len2 = vec.Length2();
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if (len2 != 0.0f) {
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float oolen = WWMath::Inv_Sqrt(len2);
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return vec / oolen;
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}
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}
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/**************************************************************************
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* Vector2::Length -- Returns the length of the vector *
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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*========================================================================*/
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inline float Vector2::Length() const
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{
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return (float)WWMath::Sqrt(Length2());
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}
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/**************************************************************************
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* Vector2::Length -- Returns the square of the length of the vector *
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* *
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* INPUT: *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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*========================================================================*/
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inline float Vector2::Length2() const
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{
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return (X*X + Y*Y);
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}
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/**************************************************************************
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* Vector2::Rotate -- Rotate vector *
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* *
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* INPUT: *
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* float theta - angle to rotate *
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* *
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* OUTPUT: *
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* *
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* WARNINGS: *
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* *
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* HISTORY: *
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*========================================================================*/
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inline void Vector2::Rotate(float theta)
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{
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Rotate(sin(theta), cos(theta));
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}
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/**************************************************************************
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* Vector2::Rotate -- Rotate vector *
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* *
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* INPUT: *
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* s - sine of the angle *
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* c - cosine of the angle *
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|
* *
|
||
|
|
* OUTPUT: *
|
||
|
|
* *
|
||
|
|
* WARNINGS: *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
*========================================================================*/
|
||
|
|
inline void Vector2::Rotate(float s, float c)
|
||
|
|
{
|
||
|
|
float new_x = X * c + Y * -s;
|
||
|
|
float new_y = X * s + Y * c;
|
||
|
|
X = new_x;
|
||
|
|
Y = new_y;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**************************************************************************
|
||
|
|
* Vector2::Rotate -- Rotate towards given vector (stop on reaching it) *
|
||
|
|
* *
|
||
|
|
* INPUT: *
|
||
|
|
* float theta - angle to rotate *
|
||
|
|
* *
|
||
|
|
* OUTPUT: *
|
||
|
|
* bool - true if we have reached the desired vector *
|
||
|
|
* *
|
||
|
|
* WARNINGS: *
|
||
|
|
* This function assumes both vectors are normalized! *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
*========================================================================*/
|
||
|
|
inline bool Vector2::Rotate_Towards_Vector(Vector2 &target, float max_theta, bool & positive_turn)
|
||
|
|
{
|
||
|
|
return Rotate_Towards_Vector(target, sin(max_theta), cos(max_theta), positive_turn);
|
||
|
|
}
|
||
|
|
|
||
|
|
/**************************************************************************
|
||
|
|
* Vector2::Rotate -- Rotate towards given vector (stop on reaching it) *
|
||
|
|
* *
|
||
|
|
* INPUT: *
|
||
|
|
* s - sine of the angle *
|
||
|
|
* c - cosine of the angle *
|
||
|
|
* *
|
||
|
|
* OUTPUT: *
|
||
|
|
* bool - true if we have reached the desired vector *
|
||
|
|
* *
|
||
|
|
* WARNINGS: *
|
||
|
|
* This function assumes both vectors are normalized! *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
*========================================================================*/
|
||
|
|
inline bool Vector2::Rotate_Towards_Vector(Vector2 &target, float max_s, float max_c, bool & positive_turn)
|
||
|
|
{
|
||
|
|
bool return_value = false;
|
||
|
|
|
||
|
|
positive_turn = Vector2::Perp_Dot_Product(target, *this) > 0.0f;
|
||
|
|
|
||
|
|
if (Vector2::Dot_Product(*this, target) >= max_c) {
|
||
|
|
Set(target);
|
||
|
|
return_value = true;
|
||
|
|
} else {
|
||
|
|
// Determine turn direction and rotate accordingly.
|
||
|
|
if (positive_turn) {
|
||
|
|
Rotate(max_s, max_c);
|
||
|
|
} else {
|
||
|
|
Rotate(-max_s, max_c);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
return return_value;
|
||
|
|
}
|
||
|
|
|
||
|
|
/***********************************************************************************************
|
||
|
|
* Swap -- swap two Vector2's *
|
||
|
|
* *
|
||
|
|
* INPUT: *
|
||
|
|
* *
|
||
|
|
* OUTPUT: *
|
||
|
|
* *
|
||
|
|
* WARNINGS: *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
* 08/11/1997 GH : Created. *
|
||
|
|
*=============================================================================================*/
|
||
|
|
inline void Swap(Vector2 & a,Vector2 & b)
|
||
|
|
{
|
||
|
|
Vector2 tmp(a);
|
||
|
|
a = b;
|
||
|
|
b = tmp;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/***********************************************************************************************
|
||
|
|
* Vector2::Is_Valid -- Verifies that all components are valid floats *
|
||
|
|
* *
|
||
|
|
* INPUT: *
|
||
|
|
* *
|
||
|
|
* OUTPUT: *
|
||
|
|
* *
|
||
|
|
* WARNINGS: *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
* 10/18/99 gth : Created. *
|
||
|
|
*=============================================================================================*/
|
||
|
|
inline bool Vector2::Is_Valid(void) const
|
||
|
|
{
|
||
|
|
return (WWMath::Is_Valid_Float(X) && WWMath::Is_Valid_Float(Y));
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/***********************************************************************************************
|
||
|
|
* Vector2::Update_Min -- Set each component of the vector to the min of this and a. *
|
||
|
|
* *
|
||
|
|
* INPUT: *
|
||
|
|
* *
|
||
|
|
* OUTPUT: *
|
||
|
|
* *
|
||
|
|
* WARNINGS: *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
* 06/12/00 IML : Created. *
|
||
|
|
*=============================================================================================*/
|
||
|
|
inline void Vector2::Update_Min (const Vector2 & a)
|
||
|
|
{
|
||
|
|
if (a.X < X) X = a.X;
|
||
|
|
if (a.Y < Y) Y = a.Y;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/***********************************************************************************************
|
||
|
|
* Vector2::Update_Max -- Set each component of the vector to the max of this and a. *
|
||
|
|
* *
|
||
|
|
* INPUT: *
|
||
|
|
* *
|
||
|
|
* OUTPUT: *
|
||
|
|
* *
|
||
|
|
* WARNINGS: *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
* 06/12/00 IML : Created. *
|
||
|
|
*=============================================================================================*/
|
||
|
|
inline void Vector2::Update_Max (const Vector2 & a)
|
||
|
|
{
|
||
|
|
if (a.X > X) X = a.X;
|
||
|
|
if (a.Y > Y) Y = a.Y;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/***********************************************************************************************
|
||
|
|
* Vector2::Scale -- multiply components of a vector by independant scaling factors. *
|
||
|
|
* *
|
||
|
|
* INPUT: *
|
||
|
|
* *
|
||
|
|
* OUTPUT: *
|
||
|
|
* *
|
||
|
|
* WARNINGS: *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
* 06/19/2000 IML : Created. *
|
||
|
|
*=============================================================================================*/
|
||
|
|
inline void Vector2::Scale (float a, float b)
|
||
|
|
{
|
||
|
|
X *= a;
|
||
|
|
Y *= b;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/***********************************************************************************************
|
||
|
|
* Quick_Distance -- Fast but inaccurate 2D distance calculation. *
|
||
|
|
* *
|
||
|
|
* *
|
||
|
|
* *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
* 11/29/1999MLL: Created. *
|
||
|
|
*=============================================================================================*/
|
||
|
|
inline float Quick_Distance(float x1, float y1, float x2, float y2)
|
||
|
|
{
|
||
|
|
// From Graphic Gems I.
|
||
|
|
float x_diff = x1 - x2;
|
||
|
|
float y_diff = y1 - y2;
|
||
|
|
|
||
|
|
WWMath::Fabs(x_diff);
|
||
|
|
WWMath::Fabs(y_diff);
|
||
|
|
|
||
|
|
if (x_diff > y_diff)
|
||
|
|
{
|
||
|
|
return ((y_diff / 2) + x_diff);
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
return ((x_diff / 2) + y_diff);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
inline float Vector2::Quick_Distance(const Vector2 &a, const Vector2 &b)
|
||
|
|
{
|
||
|
|
return ::Quick_Distance(a.X, a.Y, b.X, b.Y);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/***********************************************************************************************
|
||
|
|
* Distance -- Accurate distance 2D calculation. *
|
||
|
|
* *
|
||
|
|
* *
|
||
|
|
* *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
* 11/29/1999MLL: Created. *
|
||
|
|
*=============================================================================================*/
|
||
|
|
inline float Vector2::Distance(const Vector2 &a, const Vector2 &b)
|
||
|
|
{
|
||
|
|
Vector2 temp;
|
||
|
|
temp = a - b;
|
||
|
|
|
||
|
|
return (temp.Length());
|
||
|
|
}
|
||
|
|
|
||
|
|
inline float Distance(float x1, float y1, float x2, float y2)
|
||
|
|
{
|
||
|
|
float x_diff = x1 - x2;
|
||
|
|
float y_diff = y1 - y2;
|
||
|
|
|
||
|
|
return (WWMath::Sqrt((x_diff * x_diff) + (y_diff * y_diff)));
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/***********************************************************************************************
|
||
|
|
* Vector2::Lerp -- linearly interpolates two Vector2's *
|
||
|
|
* *
|
||
|
|
* INPUT: *
|
||
|
|
* *
|
||
|
|
* OUTPUT: *
|
||
|
|
* *
|
||
|
|
* WARNINGS: *
|
||
|
|
* *
|
||
|
|
* HISTORY: *
|
||
|
|
* 4/14/2000 gth : Created. *
|
||
|
|
*=============================================================================================*/
|
||
|
|
inline void Vector2::Lerp(const Vector2 & a,const Vector2 & b,float t,Vector2 * set_result)
|
||
|
|
{
|
||
|
|
assert(set_result != NULL);
|
||
|
|
set_result->X = (a.X + (b.X - a.X)*t);
|
||
|
|
set_result->Y = (a.Y + (b.Y - a.Y)*t);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
#endif /* VECTOR2_H */
|
||
|
|
|