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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

what is phylogeny
Odigie Reply
evolutionary history and relationship of an organism or group of organisms
AI-Robot
ok
Deng
what is biology
Hajah Reply
the study of living organisms and their interactions with one another and their environments
AI-Robot
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Victoria Reply
HOW CAN MAN ORGAN FUNCTION
Alfred Reply
the diagram of the digestive system
Assiatu Reply
allimentary cannel
Ogenrwot
How does twins formed
William Reply
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
what is genetics
Josephine Reply
Genetics is the study of heredity
Misack
how does twins formed?
Misack
What is manual
Hassan Reply
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
Joseph Reply
what is biology
Yousuf Reply
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
Joseph Reply
what is the blood cells
Shaker Reply
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
Abdullahi Reply
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
What is classification
ISCONT Reply
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
Kenna Reply
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
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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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