add everything

Makefile

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+# Makefile for lab12
+
+fractals: fractals.cpp
+	g++ fractals.cpp gfx.o -lX11 -o fractals
+
+clean:
+	rm fractals 
+

fractals.cpp

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+// sierpmain.cpp
+// main driver to test the Sierpinski fractal
+// NOTE:
+// you may only use this code if you fully understand how it works.
+#include "gfx.h"
+#include <cmath>
+using namespace std;
+
+void sierpinski( int x1, int y1, int x2, int y2, int x3, int y3 );
+void drawTriangle( int x1, int y1, int x2, int y2, int x3, int y3 );
+void shrinkingSquares(int x, int y, float s);
+void drawSquare(int x, int y, float s);
+void spiralSquares(int x, int y, float s,float theta);
+void circularLace(int x, int y, float r);
+void snowflake(int x, int y, float r);
+void tree(int x, int y, int x2, int y2, float r ,float theta);
+void fern(int x, int y, float r, float theta);
+void bigSpiral(int x, int y, float r, float theta);
+void spiral(int x, int y, float r, float theta);
+
+int main()
+{
+		char c;
+		int width = 700, height = 700, mrgn = 20;
+
+		gfx_open(width, height, "Fractals");
+		while(c!='q') {
+				gfx_clear();
+				switch(c){
+						case '1':
+								sierpinski(mrgn, mrgn, width-mrgn, mrgn, width/2, height-mrgn);
+								break;
+						case '2':
+								shrinkingSquares(width/2,height/2,(float)width/2);
+								break;
+						case '3':
+								spiralSquares(width/2,height/2, (float)width/6, 0);
+								break;
+						case '4':
+								circularLace(width/2,height/2, (float)width/3);
+								break;
+						case '5':
+								snowflake(width/2,height/2, (float)width/3);
+								break;
+						case '6':
+								tree(width/2,height,width/2,height*2/3,height/4,M_PI/2);
+								break;
+						case '7':
+								fern(width/2,height,height*5/8,M_PI/2);
+								break;
+						case '8':
+								bigSpiral(width/2,height/2,(float)width*4/8,0);
+								break;	
+				}
+				//if(gfx_event_waiting()){
+				c = gfx_wait();
+				//}	
+		}
+}
+
+
+void sierpinski( int x1, int y1, int x2, int y2, int x3, int y3 )
+{
+  // Base case. 
+		if( abs(x2-x1) < 5 ) return;
+
+  // Draw the triangle
+		drawTriangle( x1, y1, x2, y2, x3, y3 );
+
+  // Recursive calls
+		sierpinski( x1, y1, (x1+x2)/2, (y1+y2)/2, (x1+x3)/2, (y1+y3)/2 );
+		sierpinski( (x1+x2)/2, (y1+y2)/2, x2, y2, (x2+x3)/2, (y2+y3)/2 );
+		sierpinski( (x1+x3)/2, (y1+y3)/2, (x2+x3)/2, (y2+y3)/2, x3, y3 );
+}
+
+void drawTriangle( int x1, int y1, int x2, int y2, int x3, int y3 )
+{
+		gfx_line(x1,y1,x2,y2);
+		gfx_line(x2,y2,x3,y3);
+		gfx_line(x3,y3,x1,y1);
+}
+
+void shrinkingSquares(int x, int y, float s){
+		if(s<0.5)return;
+
+		drawSquare(x,y,s);
+
+		shrinkingSquares(x+s/2,y+s/2,s*5/12);
+		shrinkingSquares(x+s/2,y-s/2,s*5/12);
+		shrinkingSquares(x-s/2,y+s/2,s*5/12);
+		shrinkingSquares(x-s/2,y-s/2,s*5/12);
+
+
+}
+void drawSquare(int x, int y, float s){
+		gfx_line(x+s/2,y+s/2,x-s/2,y+s/2);
+		gfx_line(x+s/2,y-s/2,x-s/2,y-s/2);
+		gfx_line(x+s/2,y+s/2,x+s/2,y-s/2);
+		gfx_line(x-s/2,y+s/2,x-s/2,y-s/2);
+
+}
+
+void spiralSquares(int x, int y, float s, float theta){
+		if(s<1)return;
+		drawSquare(x+cos(theta*M_PI/180)*3*s, y+sin(theta*M_PI/180)*3*s,s);
+		spiralSquares(x,y,s*0.9,theta+36);
+}
+
+void circularLace(int x, int y, float r){
+		if(r<0.5)return;
+
+		gfx_circle(x,y,r);
+
+		for(int i = 0; i <6; i++){
+				circularLace(x+cos(i*M_PI/3)*r,y+sin(i*M_PI/3)*r,r/3);
+		}
+}
+void snowflake(int x, int y, float r){
+		if(r<0.5)return;
+
+		for(int i = 0; i <5; i++){
+				gfx_line(x,y,x+cos((i*72*M_PI/180)-(M_PI/2))*r,y+sin((i*72*M_PI/180)-(M_PI/2))*r);
+				snowflake(x+cos((i*72*M_PI/180)-(M_PI/2))*r, y+sin((i*72*M_PI/180)-(M_PI/2))*r,r/3);
+		}
+
+}
+
+void tree(int x, int y, int x2, int y2, float r ,float theta){
+		if(r<1)return;
+		gfx_line(x,y,x2,y2);
+
+		for(int i = 1; i<=2; i++){
+
+				tree(x2, y2, x2+cos((theta-M_PI/2)+(i*60*M_PI/180))*r, y2-sin((theta-M_PI/2)+(i*60*M_PI/180))*r, r*0.65,theta+pow(-1,i)*M_PI/6);
+		}
+}
+
+void fern(int x, int y, float r, float theta){
+		if(r<1)return;
+
+		gfx_line(x,y,x-cos(theta)*r,y-sin(theta)*r);
+		//gfx_line(x,y,x-cos(theta)*r,y-sin(theta)*r);
+
+		for(int i = 1; i<=4;i++){
+				fern(x-cos(theta)*(r/4)*i, y-sin(theta)*(r/4)*i,r/3,theta-M_PI/6);
+				fern(x-cos(theta)*(r/4)*i, y-sin(theta)*(r/4)*i,r/3,theta+M_PI/6);
+		}
+}
+
+void bigSpiral(int x, int y, float r, float theta){
+		if(r<0.1)return;
+		spiral(x+cos(theta)*r,y+sin(theta)*r,r*0.6,theta);
+		bigSpiral(x,y,r*0.9, theta+(M_PI+0.1)/5);
+
+}
+void spiral(int x, int y, float r, float theta){
+		if(r<0.1)return;
+		gfx_point(x+cos(theta)*r,y+sin(theta)*r);
+		bigSpiral(x,y,r*0.6,theta+(M_PI+0.1)/5);
+}
+
+

gfx.h

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+// A simple graphics library for CSE 20311 
+// Originally created by Prof. Doug Thain
+// Modified and augmented by Prof. Ramzi Bualuan
+// Last edit: Nov 29, 2019
+
+#ifndef GFX_H
+#define GFX_H
+
+#include <X11/Xlib.h>
+
+// Open a new graphics window. 
+void gfx_open( int width, int height, const char *title );
+
+// Flush all previous output to the window. 
+void gfx_flush();
+
+// Change the current drawing color. 
+void gfx_color( int red, int green, int blue );
+
+// Clear the graphics window to the background color. 
+void gfx_clear();
+
+// Change the current background color. 
+void gfx_clear_color( int red, int green, int blue );
+
+// Check to see if an event is waiting. 
+int gfx_event_waiting();
+
+// Wait for the user to press a key or mouse button. 
+char gfx_wait();
+
+// Return the X and Y coordinates of the last event. 
+int gfx_xpos();
+int gfx_ypos();
+
+// Return the X and Y dimensions of the screen (monitor). 
+int gfx_xsize();
+int gfx_ysize();
+
+// Draw a point at (x,y) 
+void gfx_point( int x, int y );
+
+// Draw a line from (x1,y1) to (x2,y2) 
+void gfx_line( int x1, int y1, int x2, int y2 );
+
+// Draw a circle centered at (xc,yc) with radius r 
+void gfx_circle( int xc, int yc, int r );
+
+// Display a string at (x,y) 
+void gfx_text( int x, int y , const char *text );
+
+#endif
+