Question

"Faces" button in WebGl that toggles between assigning a single color for each vertex of a face and assigning a different color for each vertex so colors are interpolated across each face

Rewrite the cube program from Chapter 4 as follows. Initially, a single cube is rotated 45 degrees around the x-axis and is rotating around the y-axis. Each face is a solid color, shown below. For the buttons, The "Rotate" button toggles between rotating around the y-axis and stopping the rotation. The "Faces" button toggles between assigning a single color for each vertex of a face and assigning a different color for each vertex so colors are interpolated across each face. . . The "Fill" button toggles between displaying each face as a solid square or as lines across each edge of the cube. The "Explode" button toggles between the single cube and nine cubes. Each of the nine cubes are 0.25 times the size of the original and are equally spaced around the origin by ±0.5 units in the x and y planes. An example is shown below.

Answer 1

package com;
import java.util.ArrayList;

public class ArrayWithExponentAsIndexPolynomial implements PolynomialInterface

{

int polynomial[];

int highExp;

ArrayWithExponentAsIndexPolynomial()

{

polynomial=new int[200];

}

ArrayWithExponentAsIndexPolynomial(String pol)

{

polynomial=new int[200];

highExp=0;

int co=0;//Coefficient

int exp=0;//exponent

//Convert the polynomial string into linked list of polynomial terms

for(int i=0;i<pol.length();i++)

{

co=0;

exp=0;

//Find coefficient

while(pol.charAt(i)!='x' && pol.charAt(i)!='X' )

{

if(pol.charAt(i)=='-')

{

i++;

while(i<pol.length())

{

if(pol.charAt(i)!='x' && pol.charAt(i)!='X' )

{

String sub=pol.substring(i,i+1);

co=co*10+Integer.parseInt(sub);

}

else

break;

i++;

}

co=co*-1;

}

else if (pol.charAt(i)=='+')

{

i++;

}

else

{

String sub=pol.substring(i,i+1);

co=co*10+Integer.parseInt(sub);

i++;

}

if(i>=pol.length())

break;

}

i++;//skip x

if(i==pol.length())

{

if(pol.charAt(i-1)=='x' || pol.charAt(i-1)=='X')

exp=1;

}

i++;//skip ^

if(i<pol.length())

while(pol.charAt(i)!='-' && pol.charAt(i)!='+' )

{

String sub=pol.substring(i,i+1);

exp=exp*10+Integer.parseInt(sub);

i++;

if(i>=pol.length())

break;

}

if(highExp<exp)

highExp=exp;

addATerm(exp,co);

i--;

}

}

// stores the coefficient at index(exp)

void addATerm(int exp,int co)

{

// store the coefficient at index(exp)

polynomial[exp]=co;

}

int getHigh()

{

return highExp;

}

@Override

//Adds two polynomials and returns the resultant polynomial

public PolynomialInterface add(PolynomialInterface other)

{

int high;

ArrayWithExponentAsIndexPolynomial temp=new ArrayWithExponentAsIndexPolynomial();

ArrayWithExponentAsIndexPolynomial otherPoly=(ArrayWithExponentAsIndexPolynomial)other;

if(this.getHigh()<otherPoly.getHigh())

{

high=otherPoly.getHigh();

temp.highExp=otherPoly.getHigh();

}

else

{

high=this.getHigh();

temp.highExp=this.getHigh();

}

for(int i=0;i<=high;i++)

{

if(this.polynomial[i]!=0 && otherPoly.polynomial[i]!=0)

{

temp.polynomial[i]=this.polynomial[i]+otherPoly.polynomial[i];

}

else if (this.polynomial[i]==0 && otherPoly.polynomial[i]!=0)

{

temp.polynomial[i]=otherPoly.polynomial[i];

}

else if (this.polynomial[i]!=0 && otherPoly.polynomial[i]==0)

{

temp.polynomial[i]=this.polynomial[i];

}

}

return temp;

}

@Override

//Substracts one polynomial from another and returns the resultant polynomial

public PolynomialInterface subtract(PolynomialInterface other)

{

int high;

ArrayWithExponentAsIndexPolynomial temp=new ArrayWithExponentAsIndexPolynomial();

ArrayWithExponentAsIndexPolynomial otherPoly=(ArrayWithExponentAsIndexPolynomial)other;

if(this.getHigh()<otherPoly.getHigh())

{

high=otherPoly.getHigh();

temp.highExp=otherPoly.getHigh();

}

else

{

high=this.getHigh();

temp.highExp=this.getHigh();

}

for(int i=0;i<=high;i++)

{

if(this.polynomial[i]!=0 && otherPoly.polynomial[i]!=0)

{

temp.polynomial[i]=this.polynomial[i]-otherPoly.polynomial[i];

}

else if (this.polynomial[i]==0 && otherPoly.polynomial[i]!=0)

{

temp.polynomial[i]=0-otherPoly.polynomial[i];

}

else if (this.polynomial[i]!=0 && otherPoly.polynomial[i]==0)

{

temp.polynomial[i]=this.polynomial[i];

}

}

return temp;

}

public String toString()

{

String poly="";

//Convert the linked list into polynomial string

for(int i=this.getHigh();i>=0;i--)

{

if(polynomial[i]!=0)

{

if(i==1)

{

if(polynomial[i]<0)

poly=poly+"-"+polynomial[i]*-1+"x";

else

poly=poly+polynomial[i]+"x";

}

else if(i!=0)

{

if(polynomial[i]<0)

poly=poly+"-"+polynomial[i]*-1+"x^"+i;

else

{

if(i!=this.getHigh())

poly=poly+"+"+polynomial[i]+"x^"+i;

else

poly=poly+polynomial[i]+"x^"+i;

}

}

else

{

if(polynomial[i]<0)

poly=poly+"-"+polynomial[i]*-1;

else

poly=poly+"+"+polynomial[i];

}

}

}

return poly;

}

}