Modify the original codes that we developed for sin(x), cos(x) and exp(x) (you c

Question

Modify the original codes that we developed for sin(x), cos(x) and exp(x) (you can also refer to the “Additional Information”) according the following design criteria:

(50 points) For exp(x), separate the integer from the fractional component of the argument. For example if the function is called as exp(3.123), separate the 3 from the fractional component 0.123. Tip: you can use x-floor(x) to do this. Recognizing that exp(x+y)=exp(x)*exp(y), compute the integer portion of the argument using a simple loop that performs the multiplication and calculate the fractional component using the series expansion.

Additional Information:

You may use the following code fragments for the sin(x), cos(x), and exp(x) functions. Note, however, that these routines calculate a fixed number of terms, based on the value of N. you will have to modify the routines to continue to calculate terms until the accuracy criterion has been established. Tips: do NOT try to write the complete, fully-functional routine all at once! Better is to work on the individual pieces, test them independently, then assemble together for the final functional version.

% calculate exp(x), given x and N (number of terms)

s= 1; % this is the sum of terms and our final answer

xt= 1; % first term is 1, so let's just put it in to start

fact= 1; % factorial of first term is also 1, so put it in here

for i=1:N % now lets add N terms, as requested by user

xt= xt*x; % calculate numerator of next term (x^i)

fact= fact*i; % calculate denominator of next term (i!)

s=s + xt/fact; % add term to total sum, and go back for more

end

% calculate sin(x), given x and N (number of terms)

s=x; % 1st term in series is x, so put it here

xt=x; % used to compute next term

fact=1; % factorial of first terms is 1 also, so put here

sgn=1; % here is the sign. We start with +1.

for i=3:2:N

sgn= -sgn; % cheap way to alternate sign on each successive term

xt= xt*x*x; % numerator: x^i, given x^(i-2) from previous time

fact= fact*i*(i-1); % calculate denominator: factorial, skipping by 2

s= s + sgn*xt/fact; % add term to total sum

end

% calculate cos(x), given x and N (number of terms)

s= 1;

xt= 1;

fact= 1;

sgn= 1;

for i=2:2:N

sgn= -sgn;

xt=xt*x*x;

fact=fact*i*(i-1);

s=s + sgn*xt/fact;

end

Explanation / Answer

import java.awt.*;
import java.awt.event.*;
/*********************************************/
  
public category MyCalculator extends Frame
mathematician setClear=true;
double variety, memValue;
char op;
  
String digitButtonText[] = ;
String operatorButtonText[] = ;
String memoryButtonText[] = ;
String specialButtonText[] = ;
  
MyDigitButton digitButton[]=new MyDigitButton[digitButtonText.length];
MyOperatorButton operatorButton[]=new MyOperatorButton[operatorButtonText.length];
MyMemoryButton memoryButton[]=new MyMemoryButton[memoryButtonText.length];
MySpecialButton specialButton[]=new MySpecialButton[specialButtonText.length];
  
Label displayLabel=new Label("0",Label.RIGHT);
Label memLabel=new Label(" ",Label.RIGHT);
  
final int FRAME_WIDTH=325,FRAME_HEIGHT=325;
final int HEIGHT=30, WIDTH=30, H_SPACE=10,V_SPACE=10;
final int TOPX=30, TOPY=50;
///////////////////////////
MyCalculator(String frameText)//constructor
  
  
//set Co-ordinates for Special Buttons
tempX=TOPX+1*(WIDTH+H_SPACE); y=TOPY+1*(HEIGHT+V_SPACE);
for(int i=0;i<specialButton.length;i++)
  
  
//set Co-ordinates for Digit Buttons
int digitX=TOPX+WIDTH+H_SPACE;
int digitY=TOPY+2*(HEIGHT+V_SPACE);
tempX=digitX; y=digitY;
for(int i=0;i<digitButton.length;i++)
  
}
  
//set Co-ordinates for Operator Buttons
int opsX=digitX+2*(WIDTH+H_SPACE)+H_SPACE;
int opsY=digitY;
tempX=opsX; y=opsY;
for(int i=0;i<operatorButton.length;i++)
  
}
  
addWindowListener(new WindowAdapter()
  
});
  
setLayout(null);
setSize(FRAME_WIDTH,FRAME_HEIGHT);
setVisible(true);
}
//////////////////////////////////
static String getFormattedText(double temp)
  
////////////////////////////////////////////////
static mathematician isInString(String s, char ch)
come true;
return false;
}
/////////////////////////////////////////////////
public void actionPerformed(ActionEvent ev)
catch(NumberFormatException e)
  
if (index==0 && cl.displayLabel.getText().equals("0")) return;
  
if(cl.setClear)
zero.");}
return;
}
if(opText.equals("sqrt"))
  
catch(ArithmeticException excp)
  
// method = button ironed
switch(cl.op)
  
catch(ArithmeticException excp)
  

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