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-/* Starshatter: The Open Source Project
- Copyright (c) 2021-2022, Starshatter: The Open Source Project Contributors
- Copyright (c) 2011-2012, Starshatter OpenSource Distribution Contributors
- Copyright (c) 1997-2006, Destroyer Studios LLC.
-
- AUTHOR: John DiCamillo
-
-
- OVERVIEW
- ========
- Geometric classes: Rect, Vec3, Point, Matrix, Plane
-*/
-
-#ifndef Geometry_h
-#define Geometry_h
-
-#include "Types.h"
-
-// +--------------------------------------------------------------------+
-
-struct Rect;
-struct Insets;
-struct Matrix;
-struct Vec3;
-struct Point;
-struct Quaternion;
-struct Plane;
-
-#ifndef PI
-const double PI = 3.14159265358979323846;
-#endif
-const double DEGREES = (PI/180);
-
-// +--------------------------------------------------------------------+
-
-struct Rect
-{
- static const char* TYPENAME() { return "Rect"; }
-
- Rect() : x(0), y(0), w(0), h(0) { }
- Rect(int ix, int iy, int iw, int ih) : x(ix), y(iy), w(iw), h(ih) { }
-
- int operator==(const Rect& r) const { return x==r.x && y==r.y && w==r.w && h==r.h; }
- int operator!=(const Rect& r) const { return x!=r.x || y!=r.y || w!=r.w || h!=r.h; }
-
- void Inflate(int dw, int dh);
- void Deflate(int dw, int dh);
- void Inset(int left, int right, int top, int bottom);
- int Contains(int x, int y) const;
-
- int x, y, w, h;
-};
-
-// +--------------------------------------------------------------------+
-
-struct Insets
-{
- Insets() : left(0), right(0), top(0), bottom(0) { }
- Insets(WORD l, WORD r, WORD t, WORD b) : left(l), right(r), top(t), bottom(b) { }
-
- WORD left;
- WORD right;
- WORD top;
- WORD bottom;
-};
-
-// +--------------------------------------------------------------------+
-
-struct Matrix
-{
- static const char* TYPENAME() { return "Matrix"; }
-
- Matrix();
- Matrix(const Matrix& m);
- Matrix(const Point& vrt, const Point& vup, const Point& vpn);
-
- Matrix& operator = (const Matrix& m);
- Matrix& operator *= (const Matrix& m);
-
- double operator() (int i, int j) const { return elem[i][j]; }
- double& operator() (int i, int j) { return elem[i][j]; }
-
- void Identity();
- void Transpose();
- void Rotate(double roll, double pitch, double yaw);
- void Roll(double roll);
- void Pitch(double pitch);
- void Yaw(double yaw);
- void ComputeEulerAngles(double& roll, double& pitch, double& yaw) const;
-
- double Cofactor(int i, int j) const;
- void Invert();
-
- Matrix Inverse() const {
- Matrix result(*this);
- result.Invert();
- return result;
- }
-
- Matrix operator*(const Matrix& m) const;
- Point operator*(const Point & p) const;
- Vec3 operator*(const Vec3& v) const;
-
- double elem[3][3];
-
-private:
- Matrix(int no_init) { }
-};
-
-// +--------------------------------------------------------------------+
-
-struct Vec2
-{
- static const char* TYPENAME() { return "Vec2"; }
-
- Vec2() { }
- Vec2(int ix, int iy) : x((float) ix), y((float) iy) { }
- Vec2(float ix, float iy) : x(ix), y(iy) { }
- Vec2(double ix, double iy) : x((float) ix), y((float) iy) { }
-
- operator void*() const { return (void*) (x || y); }
- int operator==(const Vec2& p) const { return x==p.x && y==p.y; }
- int operator!=(const Vec2& p) const { return x!=p.x || y!=p.y; }
- Vec2 operator+ (const Vec2& p) const { return Vec2(x+p.x, y+p.y); }
- Vec2 operator- (const Vec2& p) const { return Vec2(x-p.x, y-p.y); }
- Vec2 operator- () const { return Vec2(-x, -y); }
- Vec2 operator* (float s) const { return Vec2(x*s, y*s); }
- Vec2 operator/ (float s) const { return Vec2(x/s, y/s); }
- float operator*(const Vec2& p) const { return (x*p.x + y*p.y); }
-
- Vec2& operator= (const Vec2& p) { x =p.x; y =p.y; return *this; }
- Vec2& operator+=(const Vec2& p) { x+=p.x; y+=p.y; return *this; }
- Vec2& operator-=(const Vec2& p) { x-=p.x; y-=p.y; return *this; }
- Vec2& operator*=(float s) { x*=s; y*=s; return *this; }
- Vec2& operator/=(float s) { x/=s; y/=s; return *this; }
-
- float length() const { return (float) sqrt(x*x+y*y); }
- float Normalize();
- float dot(const Vec2& p) const { return (x*p.x + y*p.y); }
- Vec2 normal() const { return Vec2(-y, x); }
-
- float x, y;
-};
-
-// +--------------------------------------------------------------------+
-
-struct Vec3
-{
- static const char* TYPENAME() { return "Vec3"; }
-
- Vec3() { }
- Vec3(int ix, int iy, int iz) : x((float) ix), y((float) iy), z((float) iz) { }
- Vec3(float ix, float iy, float iz) : x(ix), y(iy), z(iz) { }
- Vec3(double ix, double iy, double iz) : x((float) ix), y((float) iy), z((float) iz) { }
-
- operator void*() const { return (void*) (x || y || z); }
- int operator==(const Vec3& p) const { return x==p.x && y==p.y && z==p.z; }
- int operator!=(const Vec3& p) const { return x!=p.x || y!=p.y || z!=p.z; }
- Vec3 operator+ (const Vec3& p) const { return Vec3(x+p.x, y+p.y, z+p.z); }
- Vec3 operator- (const Vec3& p) const { return Vec3(x-p.x, y-p.y, z-p.z); }
- Vec3 operator- () const { return Vec3(-x, -y, -z); }
- Vec3 operator* (float s) const { return Vec3(x*s, y*s, z*s); }
- Vec3 operator/ (float s) const { return Vec3(x/s, y/s, z/s); }
- float operator* (const Vec3& p) const { return (x*p.x + y*p.y + z*p.z); }
- Vec3 operator* (const Matrix&) const;
-
- Vec3& operator= (const Vec3& p) { x =p.x; y =p.y; z =p.z; return *this; }
- Vec3& operator+=(const Vec3& p) { x+=p.x; y+=p.y; z+=p.z; return *this; }
- Vec3& operator-=(const Vec3& p) { x-=p.x; y-=p.y; z-=p.z; return *this; }
- Vec3& operator*=(float s) { x*=s; y*=s; z*=s; return *this; }
- Vec3& operator/=(float s) { x/=s; y/=s; z/=s; return *this; }
-
- void SwapYZ() { float t = y; y = z; z = t; }
- float length() const { return (float) sqrt(x*x+y*y+z*z); }
- float Normalize();
-
- float dot(const Vec3& p) const { return (x*p.x + y*p.y + z*p.z); }
- Vec3 cross(const Vec3& v) const { return Vec3((y*v.z) - (z*v.y),
- (z*v.x) - (x*v.z),
- (x*v.y) - (y*v.x)); }
-
- float x, y, z;
-};
-
-double ClosestApproachTime(const Vec3& loc1, const Vec3& vel1,
-const Vec3& loc2, const Vec3& vel2);
-
-// +--------------------------------------------------------------------+
-
-struct Point
-{
- static const char* TYPENAME() { return "Point"; }
-
- Point() : x(0), y(0), z(0) { }
- Point(double ix, double iy, double iz) : x(ix), y(iy), z(iz) { }
- Point(const Point& p) : x(p.x), y(p.y), z(p.z) { }
- Point(const Vec3& v) : x(v.x), y(v.y), z(v.z) { }
-
- operator Vec3() const { return Vec3((float) x, (float) y, (float) z); }
-
- operator void*() const { return (void*) (x || y || z); }
- int operator==(const Point& p) const { return x==p.x && y==p.y && z==p.z; }
- int operator!=(const Point& p) const { return x!=p.x || y!=p.y || z!=p.z; }
- Point operator+ (const Point& p) const { return Point(x+p.x, y+p.y, z+p.z); }
- Point operator- (const Point& p) const { return Point(x-p.x, y-p.y, z-p.z); }
- Point operator- () const { return Point(-x, -y, -z); }
- Point operator* (double s) const { return Point(x*s, y*s, z*s); }
- Point operator/ (double s) const { return Point(x/s, y/s, z/s); }
- double operator*(const Point& p) const { return (x*p.x + y*p.y + z*p.z); }
- Point operator* (const Matrix& m) const;
-
- Point& operator= (const Point& p) { x =p.x; y =p.y; z =p.z; return *this; }
- Point& operator+=(const Point& p) { x+=p.x; y+=p.y; z+=p.z; return *this; }
- Point& operator-=(const Point& p) { x-=p.x; y-=p.y; z-=p.z; return *this; }
- Point& operator*=(double s) { x*=s; y*=s; z*=s; return *this; }
- Point& operator/=(double s) { x/=s; y/=s; z/=s; return *this; }
-
- double length() const { return sqrt(x*x+y*y+z*z); }
- double Normalize();
- void SwapYZ() { double t = y; y = z; z = t; }
- Point OtherHand() const { return Point(-x, z, y); }
-
- void SetElement(int i, double v);
-
- double dot(const Point& p) const { return (x*p.x + y*p.y + z*p.z); }
- Point cross(const Point& p) const { return Point((y*p.z) - (z*p.y),
- (z*p.x) - (x*p.z),
- (x*p.y) - (y*p.x)); }
-
- double x, y, z;
-};
-
-double ClosestApproachTime(const Point& loc1, const Point& vel1,
-const Point& loc2, const Point& vel2);
-
-// +--------------------------------------------------------------------+
-
-struct Quaternion
-{
- static const char* TYPENAME() { return "Quaternion"; }
-
- Quaternion() : x(0), y(0), z(0), w(0) { }
- Quaternion(double ix,
- double iy,
- double iz,
- double iw) : x(ix), y(iy), z(iz), w(iw) { }
- Quaternion(const Quaternion& q) : x(q.x), y(q.y), z(q.z), w(q.w) { }
-
- int operator==(const Quaternion& q) const { return x==q.x && y==q.y && z==q.z && w==q.w; }
- int operator!=(const Quaternion& q) const { return x!=q.x || y!=q.y || z!=q.z || w!=q.w; }
-
- Quaternion operator+ (const Quaternion& q) const { return Quaternion(x+q.x, y+q.y, z+q.z, w+q.w); }
- Quaternion operator- (const Quaternion& q) const { return Quaternion(x-q.x, y-q.y, z-q.z, w-q.w); }
- Quaternion operator- () const { return Quaternion(-x, -y, -z, -w); }
- Quaternion operator* (double s) const { return Quaternion(x*s, y*s, z*s, w*s); }
- Quaternion operator/ (double s) const { return Quaternion(x/s, y/s, z/s, w/s); }
-
- Quaternion& operator= (const Quaternion& q) { x =q.x; y =q.y; z =q.z; w =q.w; return *this; }
- Quaternion& operator+=(const Quaternion& q) { x+=q.x; y+=q.y; z+=q.z; w+=q.w; return *this; }
- Quaternion& operator-=(const Quaternion& q) { x-=q.x; y-=q.y; z-=q.z; w-=q.w; return *this; }
- Quaternion& operator*=(double s) { x*=s; y*=s; z*=s; w*=s; return *this; }
- Quaternion& operator/=(double s) { x/=s; y/=s; z/=s; w/=s; return *this; }
-
- double length() const { return sqrt(x*x + y*y + z*z + w*w); }
- double Normalize();
-
- double x, y, z, w;
-};
-
-// +--------------------------------------------------------------------+
-
-struct Plane
-{
- static const char* TYPENAME() { return "Plane"; }
-
- Plane();
- Plane(const Point& p0, const Point& p1, const Point& p2);
- Plane(const Vec3& v0, const Vec3& v1, const Vec3& v2);
-
- void Rotate(const Vec3& v0, const Matrix& m);
- void Translate(const Vec3& v0);
-
- float distance;
- Vec3 normal;
-};
-
-// +--------------------------------------------------------------------+
-
-double DotProduct(const Point& a, const Point& b);
-void CrossProduct(const Point& a, const Point& b, Point& out);
-void MConcat(double in1[3][3], double in2[3][3], double out[3][3]);
-
-// +--------------------------------------------------------------------+
-
-int lines_intersect(
-/* 1st line segment */ double x1, double y1, double x2, double y2,
-/* 2nd line segment */ double x3, double y3, double x4, double y4,
-/* intersect point */ double& x, double& y);
-
-// +--------------------------------------------------------------------+
-
-#endif // Geometry_h
-