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Download Code in Python 2.7.5 disini: 2014 03 28 PR2 SCL graphic Antonius Ivan

# Program to approximate pi value with GUI
# Antonius Ivan / 1601215140 / 04 PAW

from graphics import *
import math

def main():
win = GraphWin(“Approximation Pi”, 500, 350)
win.setBackground(‘blue’)

# interface
Text(Point(160,40), “Total First terms approximation pi: “).draw(win)
Text(Point(110,225), “Approximation              : “).draw(win)
Text(Point(110,250), “True Value                     : “).draw(win)
Text(Point(110,275), “True Error                      : “).draw(win)
Text(Point(110,300), “Relative Error               : “).draw(win)
Text(Point(110,325), “Percent Relative Error : “).draw(win)
input = Entry(Point(250,80), 5)
input.setText(“0″)
input.draw(win)

button = Text(Point(250,150),”Approximate”)
button.setStyle(“bold”)
circ = Circle(Point(250,150), 53)
circ.setFill(“lightblue”)
circ.draw(win)
button.draw(win)
output1 = Text(Point(250,225),””)
output2 = Text(Point(250,250),””)
output3 = Text(Point(250,275),””)
output4 = Text(Point(250,300),””)
output5 = Text(Point(254,325),””)
output1.draw(win)
output2.draw(win)
output3.draw(win)
output4.draw(win)
output5.draw(win)

win.getMouse()

# calculate input
trueValue = math.pi
def pi(n):
apx = 0.0
for i in range(n):
apx += ((-1)**i)*4./((2*i)+1)
return apx
approx = pi(eval(input.getText()))
trueError = trueValue – approx
rE = trueError/trueValue
pRE = rE*100

# output
output1.setText(“%0.10f” %approx)
output2.setText(“%0.10f” %trueValue)
output3.setText(“%0.10f” %trueError)
output4.setText(“%0.10f” %rE)
output5.setText(“%0.10f%%” %pRE)
button.setText(“Quit”)

win.getMouse()
win.close()

main()

NAMA   : Antonius Ivan
NIM      : 1601215140
04PAW TI-Math Bina Nusantara University

CASE : Write a program that approximates the value of Π by summing the terms of this series:

4/1 – 4/3 + 4/5 – 4/7 + 4/9 – 4/11 + . . .

The program should prompt the user for n, the number of terms to sum, and then output the sum of the first n terms of this series. Have your program subtract the approximation from the value of math.pi to see how accurate it is.

Download Code in Python 2.7.5 disini: 2014 03 15 PR SCL blog Antonius Ivan

import math
trueValue = math.pi

print(“Antonius Ivan”)
print(“1601215140”)
print(“04PAW Binus University\n”)
print(“Program Approximates nilai dari pi”)
print(“================================================================================”)
def pi(n):
result = “”
apx = 0.0
for i in range(n):
apx += ((-1)**i)*4./((2*i)+1)
result += str(((-1)**i)*4)+”/”+str((2*i)+1)+” ”
if(i != n – 1):
if(i%2==1):
result += “+”
else:
result += “= ”
result += str(apx)
return apx, result
n = input(“Masukkan jumlah suku pertama approximation pi: “)
approx, res = pi(n)
print “\nThe Result Data:”
print “================================================================================”
print “Nilai dari math.pi  = ” + str(math.pi)
print “Hasil approximation pi dengan”,n,”suku pertama \n=” ,res
print “\nApproximate         =” ,approx
print “True Value          =” ,trueValue
trueError = trueValue – approx
print “True Error          =” ,trueError
print “Relative Error      =” ,(trueError/trueValue)
print “Percent Relative Error =” ,(trueError/trueValue *100),”%”

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