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Listing 19 . The program named Circle02. /*File Circle02 Copyright 2016 R.G.Baldwin ********************************************************************/import java.awt.Color; public class Circle02{//Driver classpublic static void main(String[] args){Circle02Runner obj = new Circle02Runner(); obj.run();}//end main }//end class Circle02//=================================================================// class Circle02Runner{//Instantiate the World and Turtle objects. private World world = new World(300,300);private Turtle turtle = new Turtle(0,0,world); //The following is new relative to Circle01private Picture pic = world.getPicture(); private Pixel pixel = null;//----------------------------------------------------// public void run(){//Make the turtle invisible turtle.hide();//Prepare the pen turtle.setPenColor(Color.RED);turtle.setPenWidth(4);//Draw the axes in RED turtle.penUp();turtle.moveTo(world.getWidth()/2,0); turtle.penDown();turtle.moveTo(world.getWidth()/2,world.getHeight()); turtle.penUp();turtle.moveTo(world.getWidth(),world.getHeight()/2); turtle.penDown();turtle.moveTo(0,world.getHeight()/2); turtle.penUp();turtle.moveTo(0,0);//Prepare the variables double xOff = -0.2;//offset relative to 1.0double yOff = -0.2; double xScale = 1.0*world.getWidth()/2;double yScale = 1.0*world.getHeight()/2; double rVal = 0.6;//radius relative to 1.0double yVal = 0; int row = 0;int col = 0; double xVal = -rVal;double xInc = 2*rVal/100; turtle.setPenColor(Color.BLUE);//Draw the bottom half of the circle in BLUE. for(int cnt=0; cnt<=100;cnt++,xVal += xInc){ //Get a y-value for the given x-value.yVal = function(rVal,xVal); //Apply the offsets and scale the resultscol = (int)((xOff+xVal)*xScale); row = (int)((yOff+yVal)*yScale);//The following is new relative to Circle01. Translate the// origin to the center and set the colors of specified // pixels relative to the new origin.pixel = pic.getPixel(col + world.getWidth()/2, row + world.getHeight()/2);pixel.setColor(Color.BLUE); }//end for loop//Draw other half of the circle in greenturtle.setPenColor(Color.GREEN); turtle.penUp();xVal = -rVal; for(int cnt=0; cnt<=100;cnt++,xVal += xInc){ //Get a y-value for the given x-value.yVal = function(rVal,xVal); //Apply the offsets and scale the results. Note the application// of a negative sign to yVal. col = (int)((xOff+xVal)*xScale);row = (int)((yOff-yVal)*yScale); //Move to the first point without drawing a line because the// pen is not down. Translate the origin to the center in the // process.turtle.moveTo(col + world.getWidth()/2, row + world.getHeight()/2);//Lower the pen in order to draw a line from each point to the // next point.turtle.penDown(); }//end for loop}//end run method //---------------------------------------------------------------////This method evaluates and returns the y-value for each x-value// for a circle with no offset centered at the origin. // radius*radius = x*x + y*y//Note that the value returned from the sqrt method can be // considered to be either positive or negative. Only the positive// value is returned. double function(double rVal,double xVal){//Add a small positive fudge factor to prevent the value inside // the radical from going negative due to small computational// errors when the radius and the xVal should be equal. double yVal = Math.sqrt(rVal*rVal - xVal*xVal + 0.0000000001);return yVal; }//end function//---------------------------------------------------------------//}//end class Circle02Runner
Listing 20 . The program named Cosine01. /*File Cosine01 Copyright 2016 R.G.Baldwin ********************************************************************/import java.awt.Color; public class Cosine01{//Driver classpublic static void main(String[] args){Cosine01Runner obj = new Cosine01Runner(); obj.run();}//end main }//end class Cosine01//==================================================================/ class Cosine01Runner{//Instantiate the World and Turtle objects. private World world = new World(300,300);private Turtle turtle = new Turtle(0,0,world); //---------------------------------------------------------------//public void run(){ //Make the turtle invisibleturtle.hide(); //Prepare the penturtle.setPenColor(Color.RED); turtle.setPenWidth(2);//Draw the axes in REDturtle.penUp(); turtle.moveTo(world.getWidth()/2,0);turtle.penDown(); turtle.moveTo(world.getWidth()/2,world.getHeight());turtle.penUp(); turtle.moveTo(world.getWidth(),world.getHeight()/2);turtle.penDown(); turtle.moveTo(0,world.getHeight()/2);turtle.penUp(); turtle.moveTo(0,0);//Prepare the variables double xOff = 0.0;//offset relative to 1.0double yOff = -0.0; double xScale = 1.0*world.getWidth()/2;double yScale = 0.9*world.getHeight()/2; double yVal = 0;int row = 0; int col = 0;double xVal = -1; turtle.setPenColor(Color.BLUE);//Draw the cosine function in BLUE. for(int cnt=0; cnt<=100;cnt++,xVal += 0.02){ //Get a y-value for the given x-value.yVal = function(xVal); //Apply the offsets and scale the resultscol = (int)((xOff+xVal)*xScale); row = (int)((yOff+yVal)*yScale);//Move to the first point without drawing a line because the// pen is not down. Translate the origin to the center in the // process.turtle.moveTo(col + world.getWidth()/2, row + world.getHeight()/2);//Lower the pen in order to draw a line from each point to the // next point.turtle.penDown(); }//end for loop}//end run method//---------------------------------------------------------------////This method evaluates and returns the y-value for each x-value // for a cosine function with no offset centered at the origin.// y = cos(2*pi*x) double function(double xVal){double yVal = Math.cos(2*Math.PI*xVal); return yVal;}//end function //---------------------------------------------------------------//}//end class Cosine01Runner

Miscellaneous

This section contains a variety of miscellaneous information.

Housekeeping material
  • Module name: Java3003: Drawing Graphs with Turtles and Pixels
  • File: Java3003.htm
  • Published: 06/29/16
Disclaimers:

Financial : Although the Connexionssite makes it possible for you to download a PDF file for this module at no charge, and also makes it possible for you topurchase a pre-printed version of the PDF file, you should be aware that some of the HTML elements in this module may not translate well intoPDF.

I also want you to know that, I receive no financial compensation from the Connexions website even if you purchase the PDF version of the module.

In the past, unknown individuals have copied my modules from cnx.org, converted them to Kindle books, and placed them for sale on Amazon.com showing me as the author. Ineither receive compensation for those sales nor do I know who does receive compensation. If you purchase such a book, please beaware that it is a copy of a module that is freely available on cnx.org and that it was made and published withoutmy prior knowledge.

Affiliation : I am a professor of Computer Information Technology at Austin Community College in Austin, TX.

-end-

Questions & Answers

if three forces F1.f2 .f3 act at a point on a Cartesian plane in the daigram .....so if the question says write down the x and y components ..... I really don't understand
Syamthanda Reply
hey , can you please explain oxidation reaction & redox ?
Boitumelo Reply
hey , can you please explain oxidation reaction and redox ?
Boitumelo
for grade 12 or grade 11?
Sibulele
the value of V1 and V2
Tumelo Reply
advantages of electrons in a circuit
Rethabile Reply
we're do you find electromagnetism past papers
Ntombifuthi
what a normal force
Tholulwazi Reply
it is the force or component of the force that the surface exert on an object incontact with it and which acts perpendicular to the surface
Sihle
what is physics?
Petrus Reply
what is the half reaction of Potassium and chlorine
Anna Reply
how to calculate coefficient of static friction
Lisa Reply
how to calculate static friction
Lisa
How to calculate a current
Tumelo
how to calculate the magnitude of horizontal component of the applied force
Mogano
How to calculate force
Monambi
a structure of a thermocouple used to measure inner temperature
Anna Reply
a fixed gas of a mass is held at standard pressure temperature of 15 degrees Celsius .Calculate the temperature of the gas in Celsius if the pressure is changed to 2×10 to the power 4
Amahle Reply
How is energy being used in bonding?
Raymond Reply
what is acceleration
Syamthanda Reply
a rate of change in velocity of an object whith respect to time
Khuthadzo
how can we find the moment of torque of a circular object
Kidist
Acceleration is a rate of change in velocity.
Justice
t =r×f
Khuthadzo
how to calculate tension by substitution
Precious Reply
hi
Shongi
hi
Leago
use fnet method. how many obects are being calculated ?
Khuthadzo
khuthadzo hii
Hulisani
how to calculate acceleration and tension force
Lungile Reply
you use Fnet equals ma , newtoms second law formula
Masego
please help me with vectors in two dimensions
Mulaudzi Reply
how to calculate normal force
Mulaudzi
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Source:  OpenStax, Object-oriented programming (oop) with java. OpenStax CNX. Jun 29, 2016 Download for free at https://legacy.cnx.org/content/col11441/1.201
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