Difference between revisions of "CSC111 Homework 9 Solutions"

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 +
--[[User:Thiebaut|D. Thiebaut]] 18:11, 14 April 2010 (UTC)
 +
----
 +
 +
__TOC__
 +
<onlydft>
 
==Problem 1==
 
==Problem 1==
  
Line 89: Line 94:
  
 
<source lang="python">  
 
<source lang="python">  
 +
# hw9b.sol.py
 +
# D. Thiebaut
 +
# Computes e, the base of the natural log to 11 decimal
 +
# places by summing up terms of the form 1/n!. 
 +
#
 +
 +
 
sum = 1.0
 
sum = 1.0
 
denom = 1
 
denom = 1
 
count = 1
 
count = 1
 +
series = "series = 1"
 
print "-"*50
 
print "-"*50
 
print "denom = ", denom
 
print "denom = ", denom
−
print "term = ", 0
+
#print "term = ", 0
−
print "sum = ", sum
+
print series, " = ", sum
−
print "count = ", count
+
print "number of terms = ", count
  
 
#                        71828182845
 
#                        71828182845
Line 103: Line 116:
 
     print "denom = ", denom
 
     print "denom = ", denom
 
     term = 1.0 / denom
 
     term = 1.0 / denom
−
     print "term = ", term
+
     print "new term = ", term
 
     sum = sum + term
 
     sum = sum + term
−
    print "sum = %1.20f" % sum
 
 
     count += 1
 
     count += 1
 +
    series = series + "+1/%d" % denom
 +
    print series
 +
    print "series = %1.20f" % sum
 +
    print "number of terms = ", count
 
     denom = denom * count
 
     denom = denom * count
−
    print "count = ", count
 
  
−
print "final sum = %1.20f " % sum
+
print "final sum = ", sum
 
print "count = ", count
 
print "count = ", count
 +
  
 
# the output of the program is shown below:
 
# the output of the program is shown below:
Line 117: Line 133:
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  1
 
denom =  1
−
term =  0
+
series = 1 =  1.0
−
sum =  1.0
+
number of terms =  1
−
count =  1
 
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  1
 
denom =  1
−
term =  1.0
+
new term =  1.0
−
sum = 2.00000000000000000000
+
series = 1+1/1
−
count =  2
+
series = 2.00000000000000000000
 +
number of terms =  2
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  2
 
denom =  2
−
term =  0.5
+
new term =  0.5
−
sum = 2.50000000000000000000
+
series = 1+1/1+1/2
−
count =  3
+
series = 2.50000000000000000000
 +
number of terms =  3
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  6
 
denom =  6
−
term =  0.166666666667
+
new term =  0.166666666667
−
sum = 2.66666666666666651864
+
series = 1+1/1+1/2+1/6
−
count =  4
+
series = 2.66666666666666651864
 +
number of terms =  4
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  24
 
denom =  24
−
term =  0.0416666666667
+
new term =  0.0416666666667
−
sum = 2.70833333333333303727
+
series = 1+1/1+1/2+1/6+1/24
−
count =  5
+
series = 2.70833333333333303727
 +
number of terms =  5
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  120
 
denom =  120
−
term =  0.00833333333333
+
new term =  0.00833333333333
−
sum = 2.71666666666666634100
+
series = 1+1/1+1/2+1/6+1/24+1/120
−
count =  6
+
series = 2.71666666666666634100
 +
number of terms =  6
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  720
 
denom =  720
−
term =  0.00138888888889
+
new term =  0.00138888888889
−
sum = 2.71805555555555544700
+
series = 1+1/1+1/2+1/6+1/24+1/120+1/720
−
count =  7
+
series = 2.71805555555555544700
 +
number of terms =  7
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  5040
 
denom =  5040
−
term =  0.000198412698413
+
new term =  0.000198412698413
−
sum = 2.71825396825396836675
+
series = 1+1/1+1/2+1/6+1/24+1/120+1/720+1/5040
−
count =  8
+
series = 2.71825396825396836675
 +
number of terms =  8
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  40320
 
denom =  40320
−
term =  2.48015873016e-05
+
new term =  2.48015873016e-05
−
sum = 2.71827876984127003723
+
series = 1+1/1+1/2+1/6+1/24+1/120+1/720+1/5040+1/40320
−
count =  9
+
series = 2.71827876984127003723
 +
number of terms =  9
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  362880
 
denom =  362880
−
term =  2.7557319224e-06
+
new term =  2.7557319224e-06
−
sum = 2.71828152557319224769
+
series = 1+1/1+1/2+1/6+1/24+1/120+1/720+1/5040+1/40320+1/362880
−
count =  10
+
series = 2.71828152557319224769
 +
number of terms =  10
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  3628800
 
denom =  3628800
−
term =  2.7557319224e-07
+
new term =  2.7557319224e-07
−
sum = 2.71828180114638451315
+
series = 1+1/1+1/2+1/6+1/24+1/120+1/720+1/5040+1/40320+1/362880+1/3628800
−
count =  11
+
series = 2.71828180114638451315
 +
number of terms =  11
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  39916800
 
denom =  39916800
−
term =  2.50521083854e-08
+
new term =  2.50521083854e-08
−
sum = 2.71828182619849290091
+
series = 1+1/1+1/2+1/6+1/24+1/120+1/720+1/5040+1/40320+1/362880+1/3628800+1/39916800
−
count =  12
+
series = 2.71828182619849290091
 +
number of terms =  12
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  479001600
 
denom =  479001600
−
term =  2.08767569879e-09
+
new term =  2.08767569879e-09
−
sum = 2.71828182828616871092
+
series = 1+1/1+1/2+1/6+1/24+1/120+1/720+1/5040+1/40320+1/362880+1/3628800+1/39916800+1/479001600
−
count =  13
+
series = 2.71828182828616871092
 +
number of terms =  13
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  6227020800
 
denom =  6227020800
−
term =  1.60590438368e-10
+
new term =  1.60590438368e-10
−
sum = 2.71828182844675936281
+
series = 1+1/1+1/2+1/6+1/24+1/120+1/720+1/5040+1/40320+1/362880+1/3628800+1/39916800+1/479001600+1/6227020800
−
count =  14
+
series = 2.71828182844675936281
 +
number of terms =  14
 
--------------------------------------------------
 
--------------------------------------------------
 
denom =  87178291200
 
denom =  87178291200
−
term =  1.14707455977e-11
+
new term =  1.14707455977e-11
−
sum = 2.71828182845823018710
+
series = 1+1/1+1/2+1/6+1/24+1/120+1/720+1/5040+1/40320+1/362880+1/3628800+1/39916800+1/479001600+1/6227020800+1/87178291200
−
count =  15
+
series = 2.71828182845823018710
−
final sum =  2.71828182845823018710
+
number of terms =  15
 +
final sum =  2.71828182846
 
count =  15
 
count =  15
  
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</source>
 
</source>
 +
 +
<br />
 +
<br />
 +
 +
==Problem 3, Optional and Extra Credit==
 +
 +
<source lang="python">
 +
# solution program for Hw9, Part 3 (optional and extra credit)
 +
# D. Thiebaut
 +
# The program reads a file formatted as follows:
 +
#
 +
# name Jane Moore
 +
# semester fall 2010
 +
# MWF 9 GEO 370
 +
# TR  9 CSC 111
 +
# MW 10 GOV 228
 +
# MWF 13 DAN 113
 +
# TR  13 FRN 254
 +
# F  15 ESS 940
 +
# F  14 ESS 940
 +
#
 +
# and outputs the same information into an html file, reformatted
 +
# to look nice and organized.
 +
#
 +
 +
def getFiles():
 +
    """gets the name of files from the user"""
 +
    inputFile = outputFile = None
 +
 +
    #--- ask for a valid file name ---
 +
    while True:
 +
        inputFile = raw_input( "Input file name? " )
 +
        try:
 +
            open( inputFile, 'r' )
 +
            break
 +
        except:
 +
            print "Invalid file name.  Does not exit.  Please reenter!"
 +
 +
    #--- ask for an output file name with .htm or .html at the end ---
 +
    while True:
 +
        outputFile = raw_input( "Output file name? " )
 +
        if outputFile[-5:] != ".html" and outputFile[-4:] != ".htm":
 +
            print "Invalid file name.  Make sure it ends in .htm or .html!"
 +
        else:
 +
            break
 +
 +
    return inputFile, outputFile
 +
 +
 +
def getInput( inputFile ):
 +
    """reads the input file and returns the name, semester and
 +
    schedule lines to the calling program"""
 +
 +
    lines = open( inputFile ).readlines()
 +
    name = lines[0].strip()
 +
    semester = lines[1].strip()
 +
    return name, semester, lines[2:]
 +
 +
def parse( lines ):
 +
    """parses the schedule lines and returns 5 arrays containing
 +
    the various courses in the right slot"""
 +
 +
    #--- create empty lists for each day of the week ---
 +
    M = []
 +
    T = []
 +
    W = []
 +
    R = []
 +
    F = []
 +
 +
    #--- fill the arrays with &nbsp; which is a blank space in html ---
 +
    for i in range( 17 ): # index 8 corresponds to 8:00 am.
 +
        M.append( "&nbsp;" )
 +
        T.append( "&nbsp;" )
 +
        W.append( "&nbsp;" )
 +
        R.append( "&nbsp;" )
 +
        F.append( "&nbsp;" )
 +
       
 +
    #--- read each line and extract information ---
 +
    for line in lines:
 +
        #print "line = ", line
 +
        words = line.split( )
 +
        #print "words = ", words
 +
        #--- skip badly formatted lines ---
 +
        if len( words ) != 4:
 +
            continue
 +
        #--- distribute courses in arrays for each day ---
 +
        Days, time, dept, num = words
 +
        time = int( time ) 
 +
        if Days.find( "M" )!= -1:
 +
            M[ time ] = dept+num
 +
        if Days.find( "T" )!= -1:
 +
            T[ time ] = dept+num
 +
        if Days.find( "W" )!= -1:
 +
            W[ time ] = dept+num
 +
        if Days.find( "R" )!= -1:
 +
            R[ time ] = dept+num
 +
        if Days.find( "F" )!= -1:
 +
            F[ time ] = dept+num
 +
        #print "M = ", M
 +
 +
    return M, T, W, R, F
 +
 +
def generateHtml( outputFile, name, semester, M, T, W, R, F ):
 +
    """Generate the html code and stores it into the output file"""
 +
    MM = TT = WW = RR = FF =  ""
 +
    for i in range (8, 17): # index 8 is 8:00 a.m.
 +
        MM = MM + "<td>%s</td>" % M[i]
 +
        TT = TT + "<td>%s</td>" % T[i]
 +
        WW = WW + "<td>%s</td>" % W[i]
 +
        RR = RR + "<td>%s</td>" % R[i]
 +
        FF = FF + "<td>%s</td>" % F[i]
 +
 +
    file = open( outputFile, 'w' )
 +
    file.write( """<html>
 +
<title>%s's Schedule</title>
 +
<body>
 +
<h1>J%s's Schedule</h1>
 +
 +
<h2>%s<h2>
 +
 +
<table border="1">
 +
<tr><td>Day</td><td>8:00</td><td>9:00</td><td>10:00</td><td>11:00</td>
 +
    <td>12:00</td><td>13:00</td><td>14:00</td><td>15:00</td><td>16:00</td></tr>
 +
<tr><td>Monday</td>%s</tr>
 +
<tr><td>Tuesday</td>%s</tr>
 +
<tr><td>Wednesday</td>%s</tr>
 +
<tr><td>Thursday</td>%s</tr>
 +
<tr><td>Friday</td>%s</tr>
 +
</table>
 +
</body>
 +
</html>
 +
""" % ( name, name, semester, MM, TT, WW, RR, FF ) )
 +
    file.close()
 +
 +
 +
# ---------------------------------------------------------------------------------
 +
#                                  MAIN PROGRAM
 +
# ---------------------------------------------------------------------------------
 +
 +
def main():
 +
    # get file names from user
 +
    inputFile, outputFile = getFiles()
 +
 +
    # parse information into fields.
 +
    name, semester, lines = getInput( inputFile )
 +
 +
    # create lists for every day of the week
 +
    M, T, W, R, F = parse( lines )
 +
 +
    # generate the html code
 +
    generateHtml( outputFile, name, semester, M, T, W, R, F )
 +
   
 +
main()
 +
 +
</source>
 +
</onlydft>
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
[[Category:CSC111]][[Category:Homework]][[Category:Python]]

Latest revision as of 08:47, 7 September 2011

--D. Thiebaut 18:11, 14 April 2010 (UTC)



...








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