updated
authorChristian Urban <urbanc@in.tum.de>
Mon, 27 Nov 2017 01:15:36 +0000
changeset 158 94b11ac19b41
parent 157 15f1fca879c5
child 159 92c31cbb1952
updated
cws/cw03.pdf
cws/cw03.tex
marking1/AAPL.csv
marking1/AIV.csv
marking1/AMT.csv
marking1/AMZN.csv
marking1/AVB.csv
marking1/BIDU.csv
marking1/BXP.csv
marking1/CCI.csv
marking1/DLR.csv
marking1/EQIX.csv
marking1/EQR.csv
marking1/ESS-orignal.csv
marking1/ESS.csv
marking1/EXR.csv
marking1/FB.csv
marking1/FRT.csv
marking1/GGP.csv
marking1/GOOG.csv
marking1/HCP.csv
marking1/IBM.csv
marking1/MSFT.csv
marking1/PLD.csv
marking1/PSA.csv
marking1/alcohol.csv
marking1/alcohol_test.sh
marking1/alcohol_test1.scala
marking1/alcohol_test2.scala
marking1/alcohol_test3.scala
marking1/collatz_test.sh
marking1/collatz_test1.scala
marking1/collatz_test2.scala
marking1/drumb_test.sh
marking1/drumb_test1.scala
marking1/drumb_test2.scala
marking1/drumb_test3.scala
marking1/mark
marking1/population.csv
progs/lecture3.scala
slides/slides03.pdf
slides/slides03.tex
Binary file cws/cw03.pdf has changed
--- a/cws/cw03.tex	Fri Nov 24 09:10:53 2017 +0000
+++ b/cws/cw03.tex	Mon Nov 27 01:15:36 2017 +0000
@@ -110,7 +110,7 @@
 \begin{tabular}{lcll}
   $r$ & $::=$ & $\ZERO$     & cannot match anything\\
       &   $|$ & $\ONE$      & can only match the empty string\\
-      &   $|$ & $c$         & can match a character (in this case $c$)\\
+      &   $|$ & $c$         & can match a single character (in this case $c$)\\
       &   $|$ & $r_1 + r_2$ & can match a string either with $r_1$ or with $r_2$\\
   &   $|$ & $r_1\cdot r_2$ & can match the first part of a string with $r_1$ and\\
           &  & & then the second part with $r_2$\\
@@ -136,11 +136,31 @@
 
 \subsubsection*{Tasks (file re.scala)}
 
+The file \texttt{re.scala} has already a definition for regular
+expressions and also defines some handy shorthand notation for
+regular expressions. The notation in this document matches up
+with the code in the file as follows:
+
+\begin{center}
+  \begin{tabular}{rcl@{\hspace{10mm}}l}
+    & & code: & shorthand:\smallskip \\ 
+  $\ZERO$ & $\mapsto$ & \texttt{ZERO}\\
+  $\ONE$  & $\mapsto$ & \texttt{ONE}\\
+  $c$     & $\mapsto$ & \texttt{CHAR(c)}\\
+  $r_1 + r_2$ & $\mapsto$ & \texttt{ALT(r1, r2)} & \texttt{r1 | r2}\\
+  $r_1 \cdot r_2$ & $\mapsto$ & \texttt{SEQ(r1, r2)} & \texttt{r1 $\sim$ r2}\\
+  $r^*$ & $\mapsto$ &  \texttt{STAR(r)} & \texttt{r.\%}
+\end{tabular}    
+\end{center}  
+
+
 \begin{itemize}
 \item[(1a)] Implement a function, called \textit{nullable}, by
   recursion over regular expressions. This function tests whether a
   regular expression can match the empty string. This means given a
-  regular expression it either returns true or false.
+  regular expression it either returns true or false. The function
+  \textit{nullable}
+  is defined as follows:
 
 \begin{center}
 \begin{tabular}{lcl}
@@ -151,7 +171,7 @@
 $\textit{nullable}(r_1 \cdot r_2)$ & $\dn$ & $\textit{nullable}(r_1) \wedge \textit{nullable}(r_2)$\\
 $\textit{nullable}(r^*)$ & $\dn$ & $\textit{true}$\\
 \end{tabular}
-\end{center}\hfill[1 Mark]
+\end{center}~\hfill[1 Mark]
 
 \item[(1b)] Implement a function, called \textit{der}, by recursion over
   regular expressions. It takes a character and a regular expression
@@ -314,7 +334,7 @@
 what your matcher is doing.
 
 The purpose of the $\textit{simp}$ function is to keep the regular
-expression small. Normally the derivative function makes the regular
+expressions small. Normally the derivative function makes the regular
 expression bigger (see the SEQ case and the example in (1b)) and the
 algorithm would be slower and slower over time. The $\textit{simp}$
 function counters this increase in size and the result is that the
@@ -328,7 +348,9 @@
 
 
 If you want to see how badly the regular expression matchers do in
-Java\footnote{Version 8 and below} and in Python with the `evil' regular
+Java\footnote{Version 8 and below; Version 9 does not seem to be as
+  catastrophic, but still worse than the regular expression matcher
+based on derivatives.} and in Python with the `evil' regular
 expression $(a^*)^*\cdot b$, then have a look at the graphs below (you
 can try it out for yourself: have a look at the file
 \texttt{catastrophic.java} and \texttt{catastrophic.py} on
@@ -352,7 +374,7 @@
     scaled ticks=false,
     axis lines=left,
     width=6cm,
-    height=5.0cm, 
+    height=5.5cm, 
     legend entries={Python, Java 8},  
     legend pos=outer north east]
 \addplot[blue,mark=*, mark options={fill=white}] table {re-python2.data};
@@ -379,7 +401,7 @@
 instructions in total and all of which are single characters. Despite
 the minimalism, this language has been shown to be Turing
 complete\ldots{}if this doesn't ring any bell with you: it roughly
-that means every algorithm we know can, in principle, be implemented in
+means that every algorithm we know can, in principle, be implemented in
 brainf***. It just takes a lot of determination and quite a lot of
 memory resources. Some relatively sophisticated sample programs in
 brainf*** are given in the file \texttt{bf.scala}.\bigskip
@@ -420,20 +442,21 @@
 \item[(2a)] Brainf*** memory is represented by a \texttt{Map} from
   integers to integers. The empty memory is represented by
   \texttt{Map()}, that is nothing is stored in the
-  memory. \texttt{Map(0 -> 1, 2 -> 3)} clearly has stored \texttt{1}
-  at memory location \texttt{0}; at \texttt{2} it stores
-  \texttt{3}. The convention is that if we query the memory at a
-  location that is not defined in the \texttt{Map}, we return
-  \texttt{0}. Write a function, \texttt{sread}, that takes a memory (a
-  \texttt{Map}) and a memory pointer (an \texttt{Int}) as argument,
-  and safely reads the corresponding memory location. If the map is not
-  defined at the memory pointer, \texttt{sread} returns \texttt{0}.
+  memory. \texttt{Map(0 -> 1, 2 -> 3)} clearly stores \texttt{1} at
+  memory location \texttt{0}; at \texttt{2} it stores \texttt{3}. The
+  convention is that if we query the memory at a location that is
+  \emph{not} defined in the \texttt{Map}, we return \texttt{0}. Write
+  a function, \texttt{sread}, that takes a memory (a \texttt{Map}) and
+  a memory pointer (an \texttt{Int}) as argument, and safely reads the
+  corresponding memory location. If the \texttt{Map} is not defined at
+  the memory pointer, \texttt{sread} returns \texttt{0}.
 
   Write another function \texttt{write}, which takes a memory, a
-  memory pointer and an integer value as argument and updates the map
-  with the value at the given memory location. As usual the map is not
-  updated `in-place' but a new map is created with the same data,
-  except the value is stored at the given memory pointer.\hfill[1 Mark]
+  memory pointer and an integer value as argument and updates the
+  \texttt{Map} with the value at the given memory location. As usual
+  the \texttt{Map} is not updated `in-place' but a new map is created
+  with the same data, except the value is stored at the given memory
+  pointer.\hfill[1 Mark]
 
 \item[(2b)] Write two functions, \texttt{jumpRight} and
   \texttt{jumpLeft} that are needed to implement the loop constructs
@@ -454,7 +477,7 @@
   \texttt{--[..+>--]\barbelow{,}>,++}
   \end{center}
 
-  meaning it jumps to after the loop. Similarly, if you in 8th position
+  meaning it jumps to after the loop. Similarly, if you are in 8th position
   then \texttt{jumpLeft} is supposed to jump to just after the opening
   bracket (that is jumping to the beginning of the loop):
 
@@ -552,13 +575,13 @@
       \hfill\texttt{'.'} & \begin{tabular}[t]{@{}l@{\hspace{2mm}}l@{}}
                        $\bullet$ & $\texttt{pc} + 1$\\
                        $\bullet$ & $\texttt{mp}$ and \texttt{mem} unchanged\\
-                       $\bullet$ & print out\texttt{mem(mp)} as a character\\
+                       $\bullet$ & print out \,\texttt{mem(mp)} as a character\\
                      \end{tabular}\\\hline   
       \hfill\texttt{','} & \begin{tabular}[t]{@{}l@{\hspace{2mm}}l@{}}
                        $\bullet$ & $\texttt{pc} + 1$\\
                        $\bullet$ & $\texttt{mp}$ unchanged\\
                        $\bullet$ & \texttt{mem} updated with \texttt{mp -> \textrm{input}}\\
-                       \multicolumn{2}{@{}l}{input given by \texttt{Console.in.read().toByte}}
+                       \multicolumn{2}{@{}l}{the input is given by \texttt{Console.in.read().toByte}}
                      \end{tabular}\\\hline   
       \hfill\texttt{'['} & \begin{tabular}[t]{@{}l@{\hspace{2mm}}l@{}}
                        \multicolumn{2}{@{}l}{if \texttt{mem(mp) == 0} then}\\
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/AAPL.csv	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,765 @@
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/alcohol.csv	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,194 @@
+country,beer_servings,spirit_servings,wine_servings,total_litres_of_pure_alcohol
+Afghanistan,0,0,0,0.0
+Albania,89,132,54,4.9
+Algeria,25,0,14,0.7
+Andorra,245,138,312,12.4
+Angola,217,57,45,5.9
+Antigua & Barbuda,102,128,45,4.9
+Argentina,193,25,221,8.3
+Armenia,21,179,11,3.8
+Australia,261,72,212,10.4
+Austria,279,75,191,9.7
+Azerbaijan,21,46,5,1.3
+Bahamas,122,176,51,6.3
+Bahrain,42,63,7,2.0
+Bangladesh,0,0,0,0.0
+Barbados,143,173,36,6.3
+Belarus,142,373,42,14.4
+Belgium,295,84,212,10.5
+Belize,263,114,8,6.8
+Benin,34,4,13,1.1
+Bhutan,23,0,0,0.4
+Bolivia,167,41,8,3.8
+Bosnia-Herzegovina,76,173,8,4.6
+Botswana,173,35,35,5.4
+Brazil,245,145,16,7.2
+Brunei,31,2,1,0.6
+Bulgaria,231,252,94,10.3
+Burkina Faso,25,7,7,4.3
+Burundi,88,0,0,6.3
+Cote d'Ivoire,37,1,7,4.0
+Cabo Verde,144,56,16,4.0
+Cambodia,57,65,1,2.2
+Cameroon,147,1,4,5.8
+Canada,240,122,100,8.2
+Central African Republic,17,2,1,1.8
+Chad,15,1,1,0.4
+Chile,130,124,172,7.6
+China,79,192,8,5.0
+Colombia,159,76,3,4.2
+Comoros,1,3,1,0.1
+Congo,76,1,9,1.7
+Cook Islands,0,254,74,5.9
+Costa Rica,149,87,11,4.4
+Croatia,230,87,254,10.2
+Cuba,93,137,5,4.2
+Cyprus,192,154,113,8.2
+Czech Republic,361,170,134,11.8
+North Korea,0,0,0,0.0
+DR Congo,32,3,1,2.3
+Denmark,224,81,278,10.4
+Djibouti,15,44,3,1.1
+Dominica,52,286,26,6.6
+Dominican Republic,193,147,9,6.2
+Ecuador,162,74,3,4.2
+Egypt,6,4,1,0.2
+El Salvador,52,69,2,2.2
+Equatorial Guinea,92,0,233,5.8
+Eritrea,18,0,0,0.5
+Estonia,224,194,59,9.5
+Ethiopia,20,3,0,0.7
+Fiji,77,35,1,2.0
+Finland,263,133,97,10.0
+France,127,151,370,11.8
+Gabon,347,98,59,8.9
+Gambia,8,0,1,2.4
+Georgia,52,100,149,5.4
+Germany,346,117,175,11.3
+Ghana,31,3,10,1.8
+Greece,133,112,218,8.3
+Grenada,199,438,28,11.9
+Guatemala,53,69,2,2.2
+Guinea,9,0,2,0.2
+Guinea-Bissau,28,31,21,2.5
+Guyana,93,302,1,7.1
+Haiti,1,326,1,5.9
+Honduras,69,98,2,3.0
+Hungary,234,215,185,11.3
+Iceland,233,61,78,6.6
+India,9,114,0,2.2
+Indonesia,5,1,0,0.1
+Iran,0,0,0,0.0
+Iraq,9,3,0,0.2
+Ireland,313,118,165,11.4
+Israel,63,69,9,2.5
+Italy,85,42,237,6.5
+Jamaica,82,97,9,3.4
+Japan,77,202,16,7.0
+Jordan,6,21,1,0.5
+Kazakhstan,124,246,12,6.8
+Kenya,58,22,2,1.8
+Kiribati,21,34,1,1.0
+Kuwait,0,0,0,0.0
+Kyrgyzstan,31,97,6,2.4
+Laos,62,0,123,6.2
+Latvia,281,216,62,10.5
+Lebanon,20,55,31,1.9
+Lesotho,82,29,0,2.8
+Liberia,19,152,2,3.1
+Libya,0,0,0,0.0
+Lithuania,343,244,56,12.9
+Luxembourg,236,133,271,11.4
+Madagascar,26,15,4,0.8
+Malawi,8,11,1,1.5
+Malaysia,13,4,0,0.3
+Maldives,0,0,0,0.0
+Mali,5,1,1,0.6
+Malta,149,100,120,6.6
+Marshall Islands,0,0,0,0.0
+Mauritania,0,0,0,0.0
+Mauritius,98,31,18,2.6
+Mexico,238,68,5,5.5
+Micronesia,62,50,18,2.3
+Monaco,0,0,0,0.0
+Mongolia,77,189,8,4.9
+Montenegro,31,114,128,4.9
+Morocco,12,6,10,0.5
+Mozambique,47,18,5,1.3
+Myanmar,5,1,0,0.1
+Namibia,376,3,1,6.8
+Nauru,49,0,8,1.0
+Nepal,5,6,0,0.2
+Netherlands,251,88,190,9.4
+New Zealand,203,79,175,9.3
+Nicaragua,78,118,1,3.5
+Niger,3,2,1,0.1
+Nigeria,42,5,2,9.1
+Niue,188,200,7,7.0
+Norway,169,71,129,6.7
+Oman,22,16,1,0.7
+Pakistan,0,0,0,0.0
+Palau,306,63,23,6.9
+Panama,285,104,18,7.2
+Papua New Guinea,44,39,1,1.5
+Paraguay,213,117,74,7.3
+Peru,163,160,21,6.1
+Philippines,71,186,1,4.6
+Poland,343,215,56,10.9
+Portugal,194,67,339,11.0
+Qatar,1,42,7,0.9
+South Korea,140,16,9,9.8
+Moldova,109,226,18,6.3
+Romania,297,122,167,10.4
+Russian Federation,247,326,73,11.5
+Rwanda,43,2,0,6.8
+St. Kitts & Nevis,194,205,32,7.7
+St. Lucia,171,315,71,10.1
+St. Vincent & the Grenadines,120,221,11,6.3
+Samoa,105,18,24,2.6
+San Marino,0,0,0,0.0
+Sao Tome & Principe,56,38,140,4.2
+Saudi Arabia,0,5,0,0.1
+Senegal,9,1,7,0.3
+Serbia,283,131,127,9.6
+Seychelles,157,25,51,4.1
+Sierra Leone,25,3,2,6.7
+Singapore,60,12,11,1.5
+Slovakia,196,293,116,11.4
+Slovenia,270,51,276,10.6
+Solomon Islands,56,11,1,1.2
+Somalia,0,0,0,0.0
+South Africa,225,76,81,8.2
+Spain,284,157,112,10.0
+Sri Lanka,16,104,0,2.2
+Sudan,8,13,0,1.7
+Suriname,128,178,7,5.6
+Swaziland,90,2,2,4.7
+Sweden,152,60,186,7.2
+Switzerland,185,100,280,10.2
+Syria,5,35,16,1.0
+Tajikistan,2,15,0,0.3
+Thailand,99,258,1,6.4
+Macedonia,106,27,86,3.9
+Timor-Leste,1,1,4,0.1
+Togo,36,2,19,1.3
+Tonga,36,21,5,1.1
+Trinidad & Tobago,197,156,7,6.4
+Tunisia,51,3,20,1.3
+Turkey,51,22,7,1.4
+Turkmenistan,19,71,32,2.2
+Tuvalu,6,41,9,1.0
+Uganda,45,9,0,8.3
+Ukraine,206,237,45,8.9
+United Arab Emirates,16,135,5,2.8
+United Kingdom,219,126,195,10.4
+Tanzania,36,6,1,5.7
+USA,249,158,84,8.7
+Uruguay,115,35,220,6.6
+Uzbekistan,25,101,8,2.4
+Vanuatu,21,18,11,0.9
+Venezuela,333,100,3,7.7
+Vietnam,111,2,1,2.0
+Yemen,6,0,0,0.1
+Zambia,32,19,4,2.5
+Zimbabwe,64,18,4,4.7
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/alcohol_test.sh	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,129 @@
+#!/bin/bash
+
+# to make the script fail safely
+set -euo pipefail
+
+
+out=${1:-output}
+
+# read marks for CW6 part 1
+marks=$(( `tail -1 $out` ))
+
+echo $marks
+
+echo "" >> $out
+echo "Below is the feedback for your submission for alcohol.scala" >> $out
+echo "" >> $out
+
+
+# compilation tests
+
+function scala_compile {
+  (ulimit -t 30 -m 1024000 ; scala "$1" 2> /dev/null 1> /dev/null)
+}
+
+# functional tests
+
+function scala_assert {
+  (ulimit -t 30 -m 1024000 ; scala -i "$1" "$2" -e "" 2> /dev/null 1> /dev/null)
+}
+
+# purity test
+
+function scala_vars {
+   (egrep '\bvar\b|\breturn\b|\.par|ListBuffer|mutable|new Array' "$1" 2> /dev/null 1> /dev/null)
+}
+
+
+# var, .par return, ListBuffer test
+#
+echo "alcohol.scala does not contain vars, returns, Arrays, ListBuffers etc?" | tee -a $out
+
+if (scala_vars alcohol.scala)
+then
+  echo "  --> fail" | tee -a $out
+  tsts0=$(( 1 ))
+else
+  echo "  --> success" | tee -a $out
+  tsts0=$(( 0 )) 
+fi
+
+### compilation test
+
+
+if  [ $tsts0 -eq 0 ]
+then 
+  echo "alcohol.scala runs?" | tee -a $out
+
+  if (scala_compile alcohol.scala)
+  then
+    echo "  --> success" | tee -a $out
+    tsts=$(( 0 ))
+  else
+    echo "  --> scala did not run alcohol.scala" | tee -a $out
+    tsts=$(( 1 )) 
+  fi
+else
+  tsts=$(( 1 ))     
+fi
+
+### alcohol tests
+
+if [ $tsts -eq 0 ]
+then
+  echo "get_csv tests:" | tee -a $out
+  echo "  get_csv_page(url_alcohol).size == 194" | tee -a $out
+  echo "  get_csv_file(file_population).size == 216" | tee -a $out
+
+  if (scala_assert "alcohol.scala" "alcohol_test1.scala")
+  then
+      echo "  --> success" | tee -a $out
+      marks=$(( marks + 1 ))
+  else
+    echo "  --> one of the tests failed" | tee -a $out
+  fi
+fi
+
+### alcohol processing tests
+
+if [ $tsts -eq 0 ]
+then
+  echo "processing tests:" | tee -a $out  
+  echo "  process_alcs(alcs_list.drop(1))(0) == (\"Afghanistan\", 0.0)" | tee -a $out
+  echo "  process_alcs(alcs_list.drop(1))(1) == (\"Albania\", 4.9)" | tee -a $out
+  echo "  process_pops(pops_list.drop(1))(\"Micronesia\") == 104015" | tee -a $out
+  echo "  process_pops(pops_list.drop(1))(\"Albania\") == 2889104" | tee -a $out
+  
+  if (scala_assert "alcohol.scala" "alcohol_test2.scala") 
+  then
+      echo "  --> success" | tee -a $out
+      marks=$(( marks + 1 ))
+  else
+    echo "  --> one of the tests failed" | tee -a $out
+  fi
+fi
+
+### alcohol percentage tests
+
+if [ $tsts -eq 0 ]
+then
+  echo "calculation tests:" | tee -a $out  
+  echo "  sorted_country_consumption().size == 177" | tee -a $out
+  echo "  sorted_country_consumption()(9) == (\"United Kingdom\", 671976864)" | tee -a $out
+  echo "  percentage(164) == (28771558364L, 28771558364L, 100.0)" | tee -a $out
+  
+  if (scala_assert "alcohol.scala" "alcohol_test3.scala") 
+  then
+      echo "  --> success" | tee -a $out
+      marks=$(( marks + 1 ))
+  else
+    echo "  --> one of the tests failed" | tee -a $out
+  fi
+fi
+
+
+
+
+## final marks
+echo "Overall mark for Part 1 and 2" | tee -a $out
+echo "$marks" | tee -a $out
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/alcohol_test1.scala	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,12 @@
+
+val url_alcohol_test = 
+  "https://raw.githubusercontent.com/fivethirtyeight/data/master/alcohol-consumption/drinks.csv"
+
+val file_population_test = 
+  "population.csv"
+
+assert(CW6b.get_csv_page(url_alcohol_test).size == 194)
+
+assert(CW6b.get_csv_file(file_population_test).size == 216)
+
+
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/alcohol_test2.scala	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,19 @@
+
+import io.Source
+import scala.util._
+
+val file_population_test = "population.csv"
+val file_alcohol_test = "alcohol.csv"
+
+
+def get_csv_file_test(file: String) : List[String] = 
+  Source.fromFile(file)("ISO-8859-1").getLines.toList
+
+val alcs_test = get_csv_file_test(file_alcohol_test)
+val pops_test = get_csv_file_test(file_population_test)
+
+assert(CW6b.process_alcs(alcs_test.drop(1))(0) == ("Afghanistan", 0.0))
+assert(CW6b.process_alcs(alcs_test.drop(1))(1) == ("Albania", 4.9))
+
+assert(CW6b.process_pops(pops_test.drop(1))("Micronesia") == 104015)
+assert(CW6b.process_pops(pops_test.drop(1))("Albania") == 2889104)
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/alcohol_test3.scala	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,7 @@
+
+
+assert(CW6b.sorted_country_consumption().size == 177)
+
+assert(CW6b.sorted_country_consumption()(9) == ("United Kingdom", 671976864))
+
+assert(CW6b.percentage(164) == (28771558364L, 28771558364L, 100.0))
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/collatz_test.sh	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,121 @@
+#!/bin/bash
+
+# to make the script fail safely
+set -euo pipefail
+
+
+out=${1:-output}
+
+echo "" > $out
+
+echo "Below is the feedback and provisional marks for your submission" >> $out
+echo "for assignment 6 Part 1 + 2.  Please note all marks are provisional until" >> $out
+echo "ratified by the assessment board -- this is not an official" >> $out
+echo "results transcript." >> $out
+echo "" >> $out
+
+echo "Below is the feedback for your submission for collatz.scala" >> $out
+echo "" >> $out
+
+# marks for CW6 parts 1 + 2
+marks=$(( 0 ))
+
+# compilation tests
+
+function scala_compile {
+  (ulimit -t 30 -m 1024000 ; scala "$1" 2> /dev/null 1> /dev/null)
+}
+
+# functional tests
+
+function scala_assert {
+  (ulimit -t 30 -m 1024000 ; scala -i "$1" "$2" -e "" 2> /dev/null 1> /dev/null)
+}
+
+# purity test
+
+function scala_vars {
+   (egrep '\bvar\b|\breturn\b|\.par|ListBuffer|mutable|new Array' "$1" 2> /dev/null 1> /dev/null)
+}
+
+
+# var, .par return, ListBuffer test
+#
+echo "collatz.scala does not contain vars, returns, Arrays, ListBuffers etc?" | tee -a $out
+
+if (scala_vars collatz.scala)
+then
+  echo "  --> fail" | tee -a $out
+  tsts0=$(( 1 ))
+else
+  echo "  --> success" | tee -a $out
+  tsts0=$(( 0 )) 
+fi
+
+### compilation test
+
+
+if  [ $tsts0 -eq 0 ]
+then 
+  echo "collatz.scala runs?" | tee -a $out
+
+  if (scala_compile collatz.scala)
+  then
+    echo "  --> success" | tee -a $out
+    tsts=$(( 0 ))
+  else
+    echo "  --> scala did not run collatz.scala" | tee -a $out
+    tsts=$(( 1 )) 
+  fi
+else
+  tsts=$(( 1 ))     
+fi
+
+### collatz tests
+
+if [ $tsts -eq 0 ]
+then
+  echo "collatz.scala tests:" | tee -a $out
+  echo "  collatz(1) == 0,1 or 4" | tee -a $out
+  echo "  collatz(6) == 9" | tee -a $out
+  echo "  collatz(9) == 20" | tee -a $out
+  echo "  collatz(9000) == 48" | tee -a $out
+
+  if (scala_assert "collatz.scala" "collatz_test1.scala")
+  then
+      echo "  --> success" | tee -a $out
+      marks=$(( marks + 2 ))
+  else
+    echo "  --> one of the tests failed" | tee -a $out
+  fi
+fi
+
+### collatz-max tests
+
+if [ $tsts -eq 0 ]
+then
+  echo "  collatz_max(10) == (20, 9)" | tee -a $out
+  echo "  collatz_max(100) == (119, 97)" | tee -a $out
+  echo "  collatz_max(1000) == (179, 871)" | tee -a $out
+  echo "  collatz_max(10000) == (262, 6171)" | tee -a $out
+  echo "  collatz_max(100000) == (351, 77031)" | tee -a $out
+  echo "  collatz_max(1000000) == (525, 837799)" | tee -a $out
+  echo "  collatz_max(2) == (2, 2)" | tee -a $out
+  echo "  collatz_max(77000) == (340, 52527)" | tee -a $out
+
+  if (scala_assert "collatz.scala" "collatz_test2.scala") 
+  then
+      echo "  --> success" | tee -a $out
+      marks=$(( marks + 1 ))
+  else
+    echo "  --> one of the tests failed" | tee -a $out
+  fi
+fi
+
+
+
+## final marks
+echo "Overall mark for Part 1" | tee -a $out
+echo " $marks" | tee -a $out
+
+
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/collatz_test1.scala	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,8 @@
+
+
+assert(List(0,1,4).contains(CW6a.collatz(1)))
+assert(CW6a.collatz(6) == 9)
+assert(CW6a.collatz(9) == 20)
+assert(CW6a.collatz(9000) == 48)
+
+
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/collatz_test2.scala	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,17 @@
+
+
+assert(CW6a.collatz_max(10) == (20, 9))
+
+assert(CW6a.collatz_max(100) == (119, 97))
+
+assert(CW6a.collatz_max(1000) == (179, 871))
+
+assert(CW6a.collatz_max(10000) == (262, 6171))
+
+assert(CW6a.collatz_max(100000) == (351, 77031))
+
+assert(CW6a.collatz_max(1000000) == (525, 837799))
+
+assert(CW6a.collatz_max(2) == (2, 2))
+
+assert(CW6a.collatz_max(77000) == (340, 52527))
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/drumb_test.sh	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,113 @@
+#!/bin/bash
+set -e
+
+out=${1:-output}
+
+echo "" > $out
+
+echo "Below is the feedback for your submission for drumb.scala" >> $out
+echo "" >> $out
+
+# compilation tests
+
+function scala_compile {
+  (ulimit -t 30 -m 1024000 ; scala "$1" 2>> $out 1>> $out) 
+}
+
+# functional tests
+
+function scala_assert {
+  (ulimit -t 30 -m 1024000 ; scala -i "$1" "$2" -e "" 2> /dev/null 1> /dev/null)
+}
+
+# purity test
+
+function scala_vars {
+   (egrep '\bvar\b|\breturn\b|\.par|ListBuffer|mutable' "$1" 2> /dev/null 1> /dev/null)
+}
+
+
+# var, .par return, ListBuffer test
+#
+echo "drumb.scala does not contain vars, returns etc?" >> $out
+
+if (scala_vars drumb.scala)
+then
+  echo "  --> fail" >> $out
+  tsts0=$(( 1 ))
+else
+  echo "  --> success" >> $out
+  tsts0=$(( 0 )) 
+fi
+
+
+# compilation test
+if  [ $tsts0 -eq 0 ]
+then 
+  echo "drumb.scala runs?" >> $out
+
+  if (scala_compile alcohol.scala)
+  then
+    echo "  --> success" >> $out
+    tsts=$(( 0 ))
+  else
+    echo "  --> scala did not run alcohol.scala" >> $out
+    tsts=$(( 1 )) 
+  fi
+else
+  tsts=$(( 1 ))     
+fi
+
+
+
+### get prices tests
+
+if [ $tsts -eq 0 ]
+then
+  echo "  get_prices(List(\"GOOG\", \"AAPL\"), 2010 to 2012) ==" >> $out
+  echo "       List(List(Some(311.349976), Some(27.505054))," >> $out
+  echo "            List(Some(300.222351), Some(42.357094))," >> $out
+  echo "            List(Some(330.555054), Some(52.852215)))" >> $out
+
+  if (scala_assert "drumb.scala" "drumb_test1.scala")
+  then
+    echo "  --> success" >> $out
+  else
+    echo "  --> test failed" >> $out
+  fi
+fi
+
+### get_deltas_test
+
+if [ $tsts -eq 0 ]
+then
+  echo "  get_deltas(get_prices(List(\"GOOG\", \"AAPL\"), 2010 to 2012)) == " >> $out
+  echo "    List(List(Some(-0.03573992567129673), Some(0.5399749442411563)), " >> $out
+  echo "         List(Some(0.10103412653643493), Some(0.2477771728154912)))" >> $out
+  
+  if (scala_assert "drumb.scala" "drumb_test2.scala") 
+  then
+    echo "  --> success" >> $out
+  else
+    echo "  --> test failed" >> $out
+  fi
+fi
+
+
+### yield_tests, investment_test
+
+if [ $tsts -eq 0 ]
+then
+  echo "  yearly_yield(get_deltas(<<GOOG+AAPL 2010 - 2012>>), 100, 0) == 125" >> $out
+  echo "" >> $out
+  echo "  investment(rstate_portfolio, 1978 to 2017, 100) == 30895" >> $out
+  echo "  investment(bchips_portfolio, 1978 to 2017, 100) == 349597" >> $out
+  
+  if (scala_assert "drumb.scala" "drumb_test3.scala") 
+  then
+    echo "  --> success" >> $out
+  else
+    echo "  --> test failed" >> $out
+  fi
+fi
+
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/drumb_test1.scala	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,14 @@
+
+/*
+assert(CW6c.get_prices(List("BIDU"), 2004 to 2008) == List(List(None), List(None), 
+                                                      List(Some(6.35)), List(Some(12.241)), 
+                                                      List(Some(38.188))))
+
+*/
+assert(CW6c.get_prices(List("GOOG", "AAPL"), 2010 to 2012) ==
+    List(List(Some(311.349976), Some(27.505054)), 
+         List(Some(300.222351), Some(42.357094)), 
+         List(Some(330.555054), Some(52.852215))))
+
+
+
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/drumb_test2.scala	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,36 @@
+//println("starting test now")
+
+/*
+import scala.concurrent._
+import scala.concurrent.duration._
+import ExecutionContext.Implicits.global
+import scala.language.postfixOps 
+
+val urban_prices = List(List(Some(71.539941), None), 
+                        List(Some(76.974614), None), 
+                        List(Some(65.226685), Some(6.35)), 
+                        List(Some(78.354649), Some(12.241)), 
+                        List(Some(85.517645), Some(38.188)))
+
+val urban_deltas = List(List(Some(0.07596697626574789), None), 
+                        List(Some(-0.152620823795232), None), 
+                        List(Some(0.20126676681483952), Some(0.9277165354330709)), 
+                        List(Some(0.09141762603007778), Some(2.119679764725104)))
+
+
+lazy val f = Future {
+  //assert(get_deltas(urban_prices) == urban_deltas)
+  assert (get_deltas(get_prices(List("IBM", "BIDU"), 2004 to 2008)) == urban_deltas)
+}
+
+
+Await.result(f, 180 second)
+
+*/
+
+val urban_prices = List(List(Some(311.349976), Some(27.505054)), 
+			List(Some(300.222351), Some(42.357094)), 
+			List(Some(330.555054), Some(52.852215)))
+
+assert(CW6c.get_deltas(urban_prices) == List(List(Some(-0.03573992567129673), Some(0.5399749442411563)), 
+                                             List(Some(0.10103412653643493), Some(0.2477771728154912))))
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/drumb_test3.scala	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,20 @@
+
+val urban_prices = List(List(Some(311.349976), Some(27.505054)), 
+			List(Some(300.222351), Some(42.357094)), 
+			List(Some(330.555054), Some(52.852215)))
+
+
+assert(CW6c.yearly_yield(CW6c.get_deltas(urban_prices), 100, 0) == 125)
+
+
+val urban_blchip_portfolio = List("GOOG", "AAPL", "MSFT", "IBM", "FB", "AMZN", "BIDU")
+val urban_rstate_portfolio = List("PLD", "PSA", "AMT", "AIV", "AVB", "BXP", "CCI", 
+                                  "DLR", "EQIX", "EQR", "ESS", "EXR", "FRT", "GGP", "HCP") 
+
+val urban_rstate_res = CW6c.investment(urban_rstate_portfolio, 1978 to 2017, 100)
+val urban_blchip_res = CW6c.investment(urban_blchip_portfolio, 1978 to 2017, 100)
+
+// the rstate value is 30895 because of a faulty ESS.cvs file
+
+assert(urban_rstate_res > 30885 && urban_rstate_res < 30905)
+assert(urban_blchip_res > 349587 && urban_blchip_res < 349607)
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/mark	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,9 @@
+#!/bin/sh
+###set -e
+
+trap "exit" INT
+
+./collatz_test.sh output1
+./alcohol_test.sh output2
+./drumb_test.sh output3
+
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/marking1/population.csv	Mon Nov 27 01:15:36 2017 +0000
@@ -0,0 +1,216 @@
+country,population_size
+Afghanistan,32758020
+Albania,2889104
+Algeria,39113313
+American Samoa,55437
+Andorra,79223
+Angola,26920466
+Antigua and Barbuda,98875
+Argentina,42981515
+Armenia,2906220
+Aruba,103795
+Australia,23460694
+Austria,8541575
+Azerbaijan,9535079
+Bahamas,382169
+Bahrain,1336397
+Bangladesh,159405279
+Barbados,283385
+Belarus,9474511
+Belgium,11209057
+Belize,351694
+Benin,10286712
+Bermuda,65139
+Bhutan,776448
+Bolivia,10562159
+Bosnia and Herzegovina,3566002
+Botswana,2168573
+Brazil,204213133
+British Virgin Islands,29588
+Brunei Darussalam,411704
+Bulgaria,7223938
+Burkina Faso,17585977
+Burundi,9891790
+Cabo Verde,526437
+Cambodia,15270790
+Cameroon,22239904
+Canada,35544564
+Cayman Islands,59172
+Central African Republic,4515392
+Chad,13569438
+Channel Islands,162969
+Chile,17613798
+China,1364270000
+Colombia,47791911
+Comoros,759385
+Congo,73722860
+Costa Rica,4757575
+Cote d'Ivoire,22531350
+Croatia,4238389
+Cuba,11439767
+Curacao,155909
+Cyprus,1152309
+Czech Republic,10525347
+Denmark,5643475
+Djibouti,912164
+Dominica,72778
+Dominican Republic,10405844
+Ecuador,15903112
+Egypt,91812566
+El Salvador,6281189
+Equatorial Guinea,1129424
+Estonia,1314545
+Ethiopia,97366774
+Faroe Islands,48842
+Fiji,885806
+Finland,5461512
+France,66331957
+French Polynesia,275484
+Gabon,1875713
+Gambia,1917852
+Georgia,3727000
+Germany,80982500
+Ghana,26962563
+Gibraltar,34038
+Greece,10892413
+Greenland,56295
+Grenada,106360
+Guam,160967
+Guatemala,15923559
+Guinea,11805509
+Guinea-Bissau,1725744
+Guyana,763393
+Haiti,10572466
+Honduras,8809216
+Hong Kong SAR,7241700
+Hungary,9866468
+Iceland,327386
+India,1293859294
+Indonesia,255131116
+Iran,78411092
+Iraq,35006080
+Ireland,4617225
+Isle of Man,82590
+Israel,8215700
+Italy,60789140
+Jamaica,2862087
+Japan,127276000
+Jordan,8809306
+Kazakhstan,17289224
+Kenya,46024250
+Kiribati,110458
+North Korea,25116363
+South Korea,50746659
+Kosovo,1821800
+Kuwait,3782450
+Kyrgyz Republic,5835500
+Lao PDR,6576397
+Latvia,1993782
+Lebanon,5603279
+Lesotho,2145785
+Liberia,4390737
+Libya,6204108
+Liechtenstein,37127
+Lithuania,2932367
+Luxembourg,556319
+Macao SAR,588781
+Macedonia,2077495
+Madagascar,23589801
+Malawi,17068838
+Malaysia,30228017
+Maldives,401000
+Mali,16962846
+Malta,427364
+Marshall Islands,52898
+Mauritania,4063920
+Mauritius,1260934
+Mexico,124221600
+Micronesia,104015
+Moldova,3556397
+Monaco,38132
+Mongolia,2923896
+Montenegro,621810
+Morocco,34318082
+Mozambique,27212382
+Myanmar,51924182
+Namibia,2370992
+Nauru,11853
+Nepal,28323241
+Netherlands,16865008
+New Caledonia,268000
+New Zealand,4509700
+Nicaragua,6013997
+Niger,19148219
+Nigeria,176460502
+Northern Mariana Islands,54468
+Norway,5137232
+Oman,3960925
+Pakistan,185546257
+Palau,21094
+Panama,3903986
+Papua New Guinea,7755785
+Paraguay,6552584
+Peru,30973354
+Philippines,100102249
+Poland,38011735
+Portugal,10401062
+Puerto Rico,3534874
+Qatar,2374419
+Romania,19908979
+Russian Federation,143819666
+Rwanda,11345357
+Samoa,192290
+San Marino,32657
+Sao Tome and Principe,191266
+Saudi Arabia,30776722
+Senegal,14546111
+Serbia,7130576
+Seychelles,91359
+Sierra Leone,7079162
+Singapore,5469724
+Sint Maarten (Dutch part),37685
+Slovak Republic,5418649
+Slovenia,2061980
+Solomon Islands,575504
+Somalia,13513125
+South Africa,54146734
+South Sudan,11530971
+Spain,46480882
+Sri Lanka,20771000
+St. Kitts and Nevis,53739
+St. Lucia,176421
+St. Martin (French part),31530
+St. Vincent and the Grenadines,109357
+Sudan,37737913
+Suriname,547928
+Swaziland,1295097
+Sweden,9696110
+Switzerland,8188649
+Syrian Arab Republic,19203090
+Tajikistan,8362745
+Tanzania,52234869
+Thailand,68416772
+Timor-Leste,1212814
+Togo,7228915
+Tonga,105782
+Trinidad and Tobago,1354493
+Tunisia,11143908
+Turkey,77030628
+Turkmenistan,5466241
+Turks and Caicos Islands,33739
+Tuvalu,10908
+Uganda,38833338
+Ukraine,45271947
+United Arab Emirates,9070867
+United Kingdom,64613160
+United States,318563456
+Uruguay,3419546
+Uzbekistan,30757700
+Vanuatu,258850
+Venezuela,30738378
+Vietnam,90728900
+Virgin Islands (U.S.),104170
+West Bank and Gaza,4294682
+Yemen,26246327
+Zambia,15620974
+Zimbabwe,15411675
--- a/progs/lecture3.scala	Fri Nov 24 09:10:53 2017 +0000
+++ b/progs/lecture3.scala	Mon Nov 27 01:15:36 2017 +0000
@@ -6,9 +6,10 @@
 
 // A powerful tool which is supposed to come to Java in a few years
 // time (https://www.youtube.com/watch?v=oGll155-vuQ)...Scala already
-// has it for many years. Other functional languages have it for
-// decades. I think I would refuse to program in a language that
-// does not have pattern matching....its is just so elegant. ;o)
+// has it for many years. Other functional languages have it already for
+// decades. I think I would be really upset if a programming language 
+// I have to use does not have pattern matching....its is just so 
+// useful. ;o)
 
 // The general schema:
 //
@@ -25,12 +26,14 @@
 
 
 def my_flatten(xs: List[Option[Int]]): List[Int] = {
-  ...?
+  if (xs == Nil) Nil
+  else if (xs.head == None) my_flatten(xs.tail)
+  else xs.head.get :: my_flatten(xs.tail)
 }
 
 
 
-
+val lst = List(None, Some(1), Some(2), None, Some(3))
 
 def my_flatten(lst: List[Option[Int]]): List[Int] = lst match {
   case Nil => Nil
@@ -38,6 +41,10 @@
   case Some(n)::xs => n::my_flatten(xs)
 }
 
+my_flatten(lst)
+
+Nil == List()
+
 
 // another example including a catch-all pattern
 def get_me_a_string(n: Int): String = n match {
@@ -47,7 +54,7 @@
   case _ => "many"
 }
 
-get_me_a_string(0)
+get_me_a_string(10)
 
 // you can also have cases combined
 def season(month: String) = month match {
@@ -64,7 +71,9 @@
 println(season("foobar"))
 
 
-// Collatz function on binary strings
+// we can also match more complicated pattern
+//
+// let's look at the Collatz function on binary strings
 
 // adding two binary strings in a very, very lazy manner
 
@@ -72,16 +81,19 @@
   (BigInt(s1, 2) + BigInt(s2, 2)).toString(2)
 
 
-// collatz function on binary numbers
+"111".dropRight(1)
+"111".last
 
 def bcollatz(s: String) : Long = (s.dropRight(1), s.last) match {
-  case ("", '1') => 1                                  // we reached 1
-  case (rest, '0') => 1 + bcollatz(rest)               // even number => divide by two
-  case (rest, '1') => 1 + bcollatz(badd(s + '1', s))   // odd number => s + '1' is 2 * s + 1
-                                                       //               add another s gives 3 * s + 1  
+  case ("", '1') => 1                               // we reached 1
+  case (rest, '0') => 1 + bcollatz(rest)            
+                                  // even number => divide by two
+  case (rest, '1') => 1 + bcollatz(badd(s + '1', s))
+                                  // odd number => s + '1' is 2 * s + 1
+                                  // add another s gives 3 * s + 1  
 } 
 
-bcollatz(9.toBinaryString)
+bcollatz(6.toBinaryString)
 bcollatz(837799.toBinaryString)
 bcollatz(100000000000000000L.toBinaryString)
 bcollatz(BigInt("1000000000000000000000000000000000000000000000000000000000000000000000000000").toString(2))
@@ -93,23 +105,25 @@
 //========================
 
 abstract class Colour
-case class Red() extends Colour 
-case class Green() extends Colour 
-case class Blue() extends Colour
+case object Red extends Colour 
+case object Green extends Colour 
+case object Blue extends Colour
 
 def fav_colour(c: Colour) : Boolean = c match {
-  case Red()   => false
-  case Green() => true
-  case Blue()  => false 
+  case Red   => false
+  case Green => true
+  case Blue  => false 
 }
 
+fav_colour(Green)
+
 
 // actually colors can be written with "object",
 // because they do not take any arguments
 
 
+// ... a bit more useful: Roman Numerals
 
-// Roman Numerals
 abstract class RomanDigit 
 case object I extends RomanDigit 
 case object V extends RomanDigit 
@@ -138,8 +152,8 @@
   case I::r    => 1 + RomanNumeral2Int(r)
 }
 
-RomanNumeral2Int(List(I,I,I,I))         // 4 (invalid roman number)
 RomanNumeral2Int(List(I,V))             // 4
+RomanNumeral2Int(List(I,I,I,I))         // 4 (invalid Roman number)
 RomanNumeral2Int(List(V,I))             // 6
 RomanNumeral2Int(List(I,X))             // 9
 RomanNumeral2Int(List(M,C,M,L,X,X,I,X)) // 1979
@@ -150,39 +164,44 @@
 // another example
 //=================
 
-// Once upon a time, in a complete fictional country there were persons...
+// Once upon a time, in a complete fictional country there were Persons...
 
 abstract class Person
-case class King() extends Person
+case object King extends Person
 case class Peer(deg: String, terr: String, succ: Int) extends Person
 case class Knight(name: String) extends Person
 case class Peasant(name: String) extends Person
-
+case object Clown extends Person
 
 def title(p: Person): String = p match {
-  case King() => "His Majesty the King"
+  case King => "His Majesty the King"
   case Peer(deg, terr, _) => s"The ${deg} of ${terr}"
   case Knight(name) => s"Sir ${name}"
   case Peasant(name) => name
+  case Clown => "My name is Boris Johnson"
+
 }
 
+title(Clown)
+
+
 
 def superior(p1: Person, p2: Person): Boolean = (p1, p2) match {
-  case (King(), _) => true
+  case (King, _) => true
   case (Peer(_,_,_), Knight(_)) => true
   case (Peer(_,_,_), Peasant(_)) => true
-  case (Peer(_,_,_), Clown()) => true
+  case (Peer(_,_,_), Clown) => true
   case (Knight(_), Peasant(_)) => true
-  case (Knight(_), Clown()) => true
-  case (Clown(), Peasant(_)) => true
+  case (Knight(_), Clown) => true
+  case (Clown, Peasant(_)) => true
   case _ => false
 }
 
 val people = List(Knight("David"), 
                   Peer("Duke", "Norfolk", 84), 
                   Peasant("Christian"), 
-                  King(), 
-                  Clown())
+                  King, 
+                  Clown)
 
 println(people.sortWith(superior(_, _)).mkString(", "))
 
@@ -202,6 +221,7 @@
 def factT(n: BigInt, acc: BigInt): BigInt =
   if (n == 0) acc else factT(n - 1, n * acc)
 
+factT(10, 1)
 factT(100000, 1)
 
 // there is a flag for ensuring a function is tail recursive
@@ -275,6 +295,7 @@
 def pretty(game: String): String = 
   "\n" + (game sliding (MaxValue, MaxValue) mkString "\n")
 
+/////////////////////
 // not tail recursive 
 def search(game: String): List[String] = {
   if (isDone(game)) List(game)
@@ -285,7 +306,8 @@
 }
 
 // tail recursive version that searches 
-// for all solution
+// for all solutions
+
 def searchT(games: List[String], sols: List[String]): List[String] = games match {
   case Nil => sols
   case game::rest => {
@@ -297,8 +319,12 @@
   }
 }
 
+searchT(List(game3), List()).map(pretty)
+
+
 // tail recursive version that searches 
 // for a single solution
+
 def search1T(games: List[String]): Option[String] = games match {
   case Nil => None
   case game::rest => {
@@ -310,6 +336,8 @@
   }
 }
 
+search1T(List(game3)).map(pretty)
+
 // game with multiple solutions
 val game3 = """.8...9743
               |.5...8.1.
@@ -321,11 +349,11 @@
               |.3.5...8.
               |9724...5.""".stripMargin.replaceAll("\\n", "")
 
-searchT(List(game3), List()).map(pretty)
+searchT(List(game3), Nil).map(pretty)
 search1T(List(game3)).map(pretty)
 
 // Moral: Whenever a recursive function is resource-critical
-// (i.e. works with large recursion depths), then you need to
+// (i.e. works with large recursion depth), then you need to
 // write it in tail-recursive fashion.
 // 
 // Unfortuantely, Scala because of current limitations in 
@@ -349,16 +377,24 @@
   case x::xs => 1 + length_string_list(xs)
 }
 
-length_string_list(List("1", "2", "3", "4"))
+def length_int_list(lst: List[Int]): Int = lst match {
+  case Nil => 0
+  case x::xs => 1 + length_int_list(xs)
+}
 
+length_string_list(List("1", "2", "3", "4"))
+length_int_list(List(1, 2, 3, 4))
 
+//-----
 def length[A](lst: List[A]): Int = lst match {
   case Nil => 0
   case x::xs => 1 + length(xs)
 }
-
+length(List("1", "2", "3", "4"))
+length(List(King, Knight("foo"), Clown))
+length(List(1, 2, 3, 4))
 
-def map_int_list(lst: List[Int], f: Int => Int): List[Int] = lst match {
+def map[A, B](lst: List[A], f: A => B): List[B] = lst match {
   case Nil => Nil
   case x::xs => f(x)::map_int_list(xs, f) 
 }
@@ -371,12 +407,12 @@
 
 
 
+
+
 // Cool Stuff
 //============
 
 
-
-
 // Implicits 
 //===========
 //
@@ -410,6 +446,7 @@
 case class STAR(r: Rexp) extends Rexp               // star         r*
 
 
+
 // (ab)*
 val r0 = STAR(SEQ(CHAR('a'), CHAR('b')))
 
@@ -427,7 +464,7 @@
 
 
 val r1 = STAR("ab")
-val r2 = STAR("")
+val r2 = STAR(ALT("ab"))
 val r3 = STAR(ALT("ab", "baa baa black sheep"))
 
 implicit def RexpOps (r: Rexp) = new {
@@ -462,7 +499,13 @@
 // reason not to.
 
 // You can be productive on Day 1, but the language is deep.
+//
+// http://scalapuzzlers.com
+//
+// http://www.latkin.org/blog/2017/05/02/when-the-scala-compiler-doesnt-help/
 
-// I like best about Scala that it lets me write
+List(1, 2, 3) contains "your mom"
+
+// I like best about Scala that it lets me often write
 // concise, readable code.
 
Binary file slides/slides03.pdf has changed
--- a/slides/slides03.tex	Fri Nov 24 09:10:53 2017 +0000
+++ b/slides/slides03.tex	Mon Nov 27 01:15:36 2017 +0000
@@ -189,7 +189,7 @@
     axis lines=left,
     width=5.5cm,
     height=5cm, 
-    legend entries={Python,  Java},  
+    legend entries={Python,  Java 8},  
     legend pos=north west,
     legend cell align=left]
 \addplot[blue,mark=*, mark options={fill=white}] table {re-python2.data};  
@@ -301,13 +301,13 @@
 Raw marks:
 
 \begin{itemize}
-\item 0\%: 21 students
-\item 1\%: 1
-\item 2\%: 2
+\item 6\%: 154 students
+\item 5\%: 66
+\item 4\%: 18
 \item 3\%: 13
-\item 4\%: 18
-\item 5\%: 66
-\item 6\%: 154
+\item 2\%: 2
+\item 1\%: 1
+\item 0\%: 21 
 \end{itemize}  
 \end{frame}