Simple pendulum

C++/Mandelbrot explorer/main.cpp

@@ -33,10 +33,8 @@ public:
                     Zre = tX;
                     iteration++;
                 }
-                long double ratio1 = (long double)iteration - std::log2(std::log2(Zre*Zre + Zim*Zim)) / m_maxIterations;
-                long double ratio2 = (long double)iteration - std::log(std::log(Zre*Zre * Zim*Zim)) / m_maxIterations;
-                long double ratio3 = (long double)iteration - std::log10(std::log10(Zre*Zre - Zim*Zim)) / m_maxIterations;
-                olc::Pixel colour = olc::Pixel(ratio1 + 255.0f, ratio2 + 255.0f, ratio3 + 255.0f);
+                long double ratio = (long double)iteration - std::log2(std::log2(Zre*Zre + Zim*Zim)) / m_maxIterations;
+                olc::Pixel colour = olc::Pixel(ratio + 255.0f, ratio + 255.0f, ratio + 255.0f);
                 DrawRect(pX, pY, 1, 1, colour);
             }
         }
@@ -61,7 +59,7 @@ private:
     long double m_x = 1.0f;
     long double m_y = 1.0f;
     long double m_scale = 0.7f;
-    int m_maxIterations = 15;
+    int m_maxIterations = 100;
     std::map<int, olc::Pixel> m_palete;
 };
 

C++/Simple pendulum/.vscode/settings.json

@@ -0,0 +1,6 @@
+{
+    "files.associations": {
+        "ostream": "cpp",
+        "cmath": "cpp"
+    }
+}

C++/Simple pendulum/main.cpp

@@ -0,0 +1,101 @@
+#include <iostream>
+#include <sstream>
+#include <math.h>
+
+#include "rect.h"
+
+#define OLC_PGE_APPLICATION
+#include "olcPixelGameEngine.h"
+
+#define PI 3.14159265359
+
+class SimplePendulum : public olc::PixelGameEngine {
+public:
+    SimplePendulum() {
+        sAppName = "Simple Pendulum";
+    }
+
+    bool OnUserCreate() override {
+        return true;
+    }
+
+    bool OnUserUpdate(float fElapsedTime) override {
+        /* START CALCULATONS */
+        if (!m_isStopped) {
+            m_aAccel = ((-1 * m_gravity / m_pLength) * sin(m_theta) * m_pMass) * fElapsedTime;
+
+            m_aVelocity += m_aAccel *= m_pDamping;
+            m_theta += m_aVelocity;
+        }
+
+        m_x = m_pLength * sin(m_theta) + m_pivotX;
+        m_y = m_pLength * cos(m_theta) + m_pivotY;
+        /* END CALCULATIONS */
+        draw();
+
+        std::stringstream angularVel;
+        angularVel << "Angular velocity: " << m_aVelocity;
+        DrawString(0, 0, angularVel.str(), olc::BLACK);
+        std::stringstream angularAccel;
+        angularAccel << "Angular acceleration: " << m_aAccel;
+        DrawString(0, 10, angularAccel.str(), olc::BLACK);
+        std::stringstream coords;
+        coords << "Pendulum bob pos X:" << m_x << " Y: " << m_y;
+        DrawString(0, 20, coords.str(), olc::BLACK);
+
+        Rect p;
+        p.SetRect(m_x - 40, m_y - 40, 80, 80);
+        if (p.Contains(Vec2<int>(GetMouseX(), GetMouseY()))) {
+            DrawRect(p.x, p.y, p.w, p.h, olc::DARK_MAGENTA);
+            if (GetMouse(0).bHeld) {
+                m_isStopped = true;
+                m_theta = atan2(GetMouseX() - m_pivotX, GetMouseY() - m_pivotY);
+                m_aAccel = 0.0f;
+                m_aVelocity = 0.0f;
+            }  else {
+                m_isStopped = false;
+            }
+        } else {
+            DrawRect(p.x, p.y, p.w, p.h, olc::RED);
+            m_isStopped = false;
+        }
+
+        return true;
+    }
+
+    void draw() {
+        Clear(olc::WHITE);
+        FillCircle(m_pivotX, m_pivotY, 8, olc::RED);
+        DrawLine(m_pivotX, m_pivotY, m_x, m_y, olc::BLACK);
+        if (!m_isStopped) {
+            FillCircle(m_x, m_y, 20, olc::BLACK);
+        } else {
+            FillCircle(m_x, m_y, 20, olc::DARK_GREY);
+        }
+    }
+private:
+    bool m_isStopped = false;
+    float m_theta = PI / 4;
+
+    float m_pivotX = 500;
+    float m_pivotY = 20;
+    float m_x = 500;
+    float m_y = 220;
+
+    float m_pLength = 300;
+
+    float m_aVelocity = 0.0f;
+    float m_aAccel = 0.0f;
+
+    float m_gravity = 9.81;
+    float m_pMass = 5;
+
+    float m_pDamping = 0.9;
+};
+
+int main(int argc, char** argv) {
+    SimplePendulum app;
+    if (app.Construct(1000, 600, 1, 1)) 
+        app.Start();
+    return 0;
+}

C++/Simple pendulum/maths.h

@@ -0,0 +1,223 @@
+#ifndef MATH_H_
+#define MATH_H_
+
+const float DEG2RAD = 0.01745329251994329576923690768f;
+const float RAD2DEG = 57.2957795130823208767981548141f;
+
+inline float ToRadian(const float Degree) {
+	return (Degree * DEG2RAD);
+}
+
+inline float ToDegree(const float Radian) {
+	return (Radian * RAD2DEG);
+}
+
+template<class T>
+struct Vec4 {
+	T x, y, z, w;
+	template<class P>
+	Vec4(P x, P y, P z, P w) : x(x), y(y), z(z), w(w) {}
+	template<class P>
+	Vec4(P all) : x(all), y(all), z(all), w(all) {}
+	Vec4() : x(0), y(0), z(0), w(0) {}
+	inline Vec4& dot(const Vec4<T>& v) {
+		return (x * v.x + y * v.y + z * v.z + w * v.w);
+	}
+	inline const Vec4& operator+() {
+		return *this;
+	}
+	inline Vec4& operator-() {
+		return Vec4<T>(-x, -y, -z, -w);
+	}
+	inline Vec4& operator+(const Vec4<T>& v) {
+		return new Vec4(x + v.x, y + v.y, z + v.z, w + v.w);
+	}
+	inline Vec4& operator-(const Vec4<T>& v) {
+		return new Vec4(x - v.x, y - v.y, z - v.z, w - v.w);
+	}	
+	inline Vec4& operator*(const Vec4<T>& v) {
+		return new Vec4(x * v.x, y * v.y, z * v.z, w * v.w);
+	}
+	inline Vec4& operator/(const Vec4<T>& v) {
+		return new Vec4(x / v.x, y / v.y, z / v.z, w / v.w);
+	}
+	inline Vec4& operator+=(const Vec4<T>& v) {
+		x+=v.x; y+=v.y; z+=v.z; w+=v.w;
+		return *this;
+	}
+	inline Vec4& operator-=(const Vec4<T>& v) {
+		x-=v.x; y-=v.y; z-=v.z; w-=v.w;
+		return *this;
+	}
+	inline Vec4& operator*=(const Vec4<T>& v) {
+		x*=v.x; y*=v.y; z*=v.z; w*=v.w;
+		return *this;
+	}
+	inline Vec4& operator/=(const Vec4<T>& v) {
+		x/=v.x; y/=v.y; z/=v.z; w/=v.w;
+		return *this;
+	}
+	template<class P>
+	inline Vec4& operator+=(P s) {
+		x+=s; y+=s; z+=s; w+=s;
+		return *this;
+	}
+	template<class P>
+	inline Vec4& operator-=(P s) {
+		x-=s; y-=s; z-=s; w-=s;
+		return *this;
+	}
+	template<class P>
+	inline Vec4& operator*=(P s) {
+		x*=s; y*=s; z*=s; w*=s;
+		return *this;
+	}
+	template<class P>
+	inline Vec4& operator/=(P s) {
+		x/=s; y/=s; z/=s; w/=s;
+		return *this;
+	}
+};
+
+template<class T>
+struct Vec3 {
+	T x, y, z;
+	template<class P>
+	Vec3(P x, P y, P z) : x(x), y(y), z(z) {}
+	template<class P>
+	Vec3(P all) : x(all), y(all), z(all) {}
+	Vec3() : x(0), y(0), z(0) {}
+	inline Vec3& cross(const Vec3<T>& v) {
+		return new Vec3(
+			(y * v.z - z * v.y),
+			(x * v.z - z * v.x),
+			(x * v.y - y * v.x)
+		);
+	}
+	inline Vec3& dot(const Vec3<T>& v) {
+		return (x * v.x + y * v.y + z * v.z);
+	}
+	inline const Vec3& operator+() {
+		return *this;
+	}
+	inline Vec3& operator-() {
+		return Vec3<T>(-x, -y, -z);
+	}
+	inline Vec3& operator+(const Vec3<T>& v) {
+		return new Vec3(x + v.x, y + v.y, z + v.z);
+	}
+	inline Vec3& operator-(const Vec3<T>& v) {
+		return new Vec3(x - v.x, y - v.y, z - v.z);
+	}	
+	inline Vec3& operator*(const Vec3<T>& v) {
+		return new Vec3(x * v.x, y * v.y, z * v.z);
+	}
+	inline Vec3& operator/(const Vec3<T>& v) {
+		return new Vec3(x / v.x, y / v.y, z / v.z);
+	}
+	inline Vec3& operator+=(const Vec3<T>& v) {
+		x+=v.x; y+=v.y; z+=v.z;
+		return *this;
+	}
+	inline Vec3& operator-=(const Vec3<T>& v) {
+		x-=v.x; y-=v.y; z-=v.z;
+		return *this;
+	}
+	inline Vec3& operator*=(const Vec3<T>& v) {
+		x*=v.x; y*=v.y; z*=v.z;
+		return *this;
+	}
+	inline Vec3& operator/=(const Vec3<T>& v) {
+		x/=v.x; y/=v.y; z/=v.z;
+		return *this;
+	}
+	template<class P>
+	inline Vec3& operator+=(P s) {
+		x+=s; y+=s; z+=s;
+		return *this;
+	}
+	template<class P>
+	inline Vec3& operator-=(P s) {
+		x-=s; y-=s; z-=s;
+		return *this;
+	}
+	template<class P>
+	inline Vec3& operator*=(P s) {
+		x*=s; y*=s; z*=s;
+		return *this;
+	}
+	template<class P>
+	inline Vec3& operator/=(P s) {
+		x/=s; y/=s; z/=s;
+		return *this;
+	}
+};
+
+template<class T>
+struct Vec2 {
+	T x, y;
+	template<class P>
+	Vec2(P x, P y) : x(x), y(y) {}
+	template<class P>
+	Vec2(P all) : x(all), y(all) {}
+	Vec2() : x(0), y(0) {}
+		inline const Vec2& operator+() {
+		return *this;
+	}
+	inline Vec2& dot(const Vec3<T>& v) {
+		return (x * v.x + y * v.y);
+	}
+	inline Vec2& operator-() {
+		return Vec3<T>(-x, -y);
+	}
+	inline Vec2& operator+(const Vec2<T>& v) {
+		return new Vec2(x + v.x, y + v.y);
+	}
+	inline Vec2& operator-(const Vec2<T>& v) {
+		return new Vec2(x - v.x, y - v.y);
+	}	
+	inline Vec2& operator*(const Vec2<T>& v) {
+		return new Vec2(x * v.x, y * v.y);
+	}
+	inline Vec2& operator/(const Vec2<T>& v) {
+		return new Vec2(x / v.x, y / v.y);
+	}
+	inline Vec2& operator+=(const Vec2<T>& v) {
+		x+=v.x; y+=v.y;
+		return *this;
+	}
+	inline Vec2& operator-=(const Vec2<T>& v) {
+		x-=v.x; y-=v.y;
+		return *this;
+	}
+	inline Vec2& operator*=(const Vec2<T>& v) {
+		x*=v.x; y*=v.y;
+		return *this;
+	}
+	inline Vec2& operator/=(const Vec2<T>& v) {
+		x/=v.x; y/=v.y;
+		return *this;
+	}
+	template<class P>
+	inline Vec2& operator+=(P s) {
+		x+=s; y+=s;
+		return *this;
+	}
+	template<class P>
+	inline Vec2& operator-=(P s) {
+		x-=s; y-=s;
+		return *this;
+	}
+	template<class P>
+	inline Vec2& operator*=(P s) {
+		x*=s; y*=s;
+		return *this;
+	}
+	template<class P>
+	inline Vec2& operator/=(P s) {
+		x/=s; y/=s;
+		return *this;
+	}
+};
+
+#endif

C++/Simple pendulum/rect.cpp

@@ -0,0 +1,164 @@
+#include "rect.h"
+
+Rect::Rect() {
+	Clear();
+}
+
+Rect::Rect(int x, int y, int w, int h) {
+	SetRect(x, y, w, h);
+}
+
+void Rect::Clear() {
+	SetRect(0, 0, 0, 0);
+}
+
+std::string Rect::ToString() {
+	std::string res = "(";
+	res += std::to_string(x);
+	res += ", ";
+	res += std::to_string(y);
+	res += ", ";
+	res += std::to_string(w);
+	res += ", ";
+	res += std::to_string(h);
+	res += ")";
+	return res;
+}
+
+bool Rect::Intersects(Rect* rect) {
+	int leftA = x;
+	int rightA = x + w;
+	int topA = y;
+	int bottomA = y + h;
+
+	int leftB = rect->x;
+	int rightB = rect->x + rect->w;
+	int topB = rect->y;
+	int bottomB = rect->y + rect->h;
+
+	if (bottomA <= topB) return false;
+	if (topA >= bottomB) return false;
+	if (rightA <= leftB) return false;
+	if (leftA >= rightB) return false;
+
+	return true;
+}
+
+// bool Rect::Intersects(int x, int y, int w, int h) {
+// 	return Intersects(&CreateRect(x, y, w, h));
+// }
+
+bool Rect::Contains(Rect* rect) {
+	return (rect->x >= x && rect->Right() <= (x + w) && rect->y >= y && rect->Bottom() <= (y + h));
+}
+
+bool Rect::Contains(Vec2<int>* point) {
+	return (point->x >= x && point->x <= (x + w) && point->y >= y && point->y <= (y + h));
+}
+
+
+bool Rect::Contains(Vec2<int> point) {
+	return (point.x >= x && point.x <= (x + w) && point.y >= y && point.y <= (y + h));
+}
+
+bool Rect::Contains(int x, int y, int w, int h) {
+	Rect tempRect(x, y, w, h);
+	return Contains(&tempRect);
+}
+
+Vec2<int>* Rect::Position() {
+	Vec2<int>* res = new Vec2<int>(x, y);
+	return res;
+}
+
+Vec2<int>* Rect::Center() {
+	Vec2<int>* res = new Vec2<int>(x + (w / 2), y + (h / 2));
+	return res;
+}
+
+int Rect::CenterX() {
+	return (x + (w / 2));
+}
+
+int Rect::CenterY() {
+	return (y + (h / 2));
+}
+
+int Rect::Left() {
+	return x;
+}
+
+int Rect::Right() {
+	return (x + w);
+}
+
+int Rect::Top() {
+	return y;
+}
+
+int Rect::Bottom() {
+	return y + h;
+}
+
+int Rect::Perimiter() {
+	return (w + w + h + h);
+}
+
+int Rect::Area() {
+	return (w + h);
+}
+
+int Rect::GetX() {
+	return x;
+}
+
+int Rect::GetY() {
+	return y;
+}
+
+int Rect::GetW() {
+	return w;
+}
+
+int Rect::GetH() {
+	return h;
+}
+
+void Rect::SetRect(int x, int y, int w, int h) {
+	this->x = x;
+	this->y = y;
+	this->w = w;
+	this->h = h;
+}
+
+void Rect::SetSize(Vec2<int>* size) {
+	this->x = size->x;
+	this->y = size->y;
+}
+
+void Rect::SetPos(Vec2<int>* pos) {
+	this->w = pos->x;
+	this->h = pos->y;
+}
+
+void Rect::SetPos(int x, int y) {
+	this->w = x;
+	this->h = y;
+}
+
+void Rect::Translate(Vec2<int>* offset) {
+	this->x += offset->x;
+	this->y += offset->y;
+}
+
+void Rect::TranslateX(int x) {
+	this->x += x;
+}
+
+void Rect::TranslateY(int y) {
+	this->y += y;
+}
+
+Rect::~Rect() {
+
+}

C++/Simple pendulum/rect.h

@@ -0,0 +1,73 @@
+#ifndef RECT_H_
+#define RECT_H_
+
+#include <string>
+
+#include "maths.h"
+
+class Rect {
+public:
+	Rect();
+	Rect(int x, int y, int w, int h);
+	void Clear();
+
+	static Rect CreateRect(int x, int y, int w, int h) {
+		Rect tempRect(x, y, w, h);
+		return tempRect;
+	}
+
+	Rect operator+(Rect* rect) {
+		return Rect(this->x + rect->x, this->y + this->x, w, h);
+	}
+	Rect operator-(Rect* rect) {
+		return Rect(this->x - rect->x, this->y - this->x, w, h);
+	}
+	bool operator==(const Rect* rect) {
+		return (x == rect->x && y == rect->y && w == rect->w && h == rect->h);
+	}
+	bool operator!=(const Rect* rect) {
+		return !(x == rect->x && y == rect->y && w == rect->w && h == rect->h);
+	}
+
+	std::string ToString();
+
+	bool Intersects(Rect* rect);
+	// bool Intersects(int x, int y, int w, int h);
+
+	bool Contains(Rect* rect);
+	bool Contains(Vec2<int>* point);
+	bool Contains(Vec2<int> point);
+	bool Contains(int x, int y, int w, int h);
+
+	Vec2<int>* Position();
+	Vec2<int>* Center();
+	int CenterX();
+	int CenterY();
+
+	int Left();
+	int Right();
+	int Top();
+	int Bottom();
+	int Perimiter();	
+	int Area();
+
+	int GetX();
+	int GetY();
+	int GetW();
+	int GetH();
+
+	void SetRect(int x, int y, int w, int h);
+	void SetSize(Vec2<int>* size);
+	void SetPos(Vec2<int>* pos);
+	void SetPos(int x, int y);
+	void Translate(Vec2<int>* offset);
+	void TranslateX(int x);
+	void TranslateY(int y);
+
+    int x, y, w, h;
+
+	virtual ~Rect();
+private:
+};
+
+#endif