78   echo " nullable(ZERO | CHAR('a')) == false" | tee -a $out | 
    82   echo " nullable(ZERO | CHAR('a')) == false" | tee -a $out | 
    79   echo " nullable(ONE ~  ONE) == true" | tee -a $out  | 
    83   echo " nullable(ONE ~  ONE) == true" | tee -a $out  | 
    80   echo " nullable(ONE ~ CHAR('a')) == false" | tee -a $out | 
    84   echo " nullable(ONE ~ CHAR('a')) == false" | tee -a $out | 
    81   echo " nullable(STAR(ZERO)) == true" | tee -a $out  | 
    85   echo " nullable(STAR(ZERO)) == true" | tee -a $out  | 
    82     | 
    86     | 
    83   if (scala_assert "re.scala" "re1a_test.scala")  | 
    87   if (scala_assert "re.scala" "re_test1.scala")  | 
    84   then  | 
    88   then  | 
    85       echo "  --> success" | tee -a $out  | 
    89       echo "  --> success" | tee -a $out  | 
    86       marks=$(( marks + 1 ))  | 
    90       marks=$(( marks + 1 ))  | 
    87   else  | 
    91   else  | 
    88       echo "  --> test failed" | tee -a $out  | 
    92       echo "  --> test failed" | tee -a $out  | 
    89   fi  | 
    93   fi  | 
    90 fi  | 
    94 fi  | 
    91   | 
    95   | 
    92   | 
    96 ### re2 test  | 
    93   | 
    97   | 
    94 if [ $tsts1 -eq 0 ]  | 
    98 if [ $tsts1 -eq 0 ]  | 
    95 then  | 
    99 then  | 
    96   echo " der('a', ZERO | ONE) == (ZERO | ZERO)" | tee -a $out | 
   100   echo " der('a', ZERO | ONE) == (ZERO | ZERO)" | tee -a $out | 
    97   echo " der('a', (CHAR('a') | ONE) ~ CHAR('a')) == ALT((ONE | ZERO) ~ CHAR('a'), ONE)" | tee -a $out | 
   101   echo " der('a', (CHAR('a') | ONE) ~ CHAR('a')) == ALT((ONE | ZERO) ~ CHAR('a'), ONE)" | tee -a $out | 
    98   echo " der('a', (CHAR('a') | CHAR('a')) ~ CHAR('a')) == (ONE | ONE) ~ CHAR('a')" | tee -a $out | 
   102   echo " der('a', (CHAR('a') | CHAR('a')) ~ CHAR('a')) == (ONE | ONE) ~ CHAR('a')" | tee -a $out | 
    99   echo " der('a', STAR(CHAR('a'))) == (ONE ~ STAR(CHAR('a')))" | tee -a $out | 
   103   echo " der('a', STAR(CHAR('a'))) == (ONE ~ STAR(CHAR('a')))" | tee -a $out | 
   100   echo " der('b', STAR(CHAR('a'))) == (ZERO ~ STAR(CHAR('a')))" | tee -a $out | 
   104   echo " der('b', STAR(CHAR('a'))) == (ZERO ~ STAR(CHAR('a')))" | tee -a $out | 
   101     | 
   105   echo "" | tee -a $out  | 
   102   if (scala_assert "re.scala" "re1b_test.scala")  | 
   106   echo " val r0 = \"a\" ~ \"b\" ~ \"c\"" | tee -a $out  | 
   103   then  | 
   107   echo " assert(der('a', r0) == (ONE ~ \"b\") ~ \"c\")" | tee -a $out | 
   104       echo "  --> success" | tee -a $out  | 
   108   echo " assert(der('b', r0) == (ZERO ~ \"b\") ~ \"c\")" | tee -a $out | 
   105       marks=$(( marks + 1 ))  | 
   109   echo " assert(der('c', r0) == (ZERO ~ \"b\") ~ \"c\")" | tee -a $out | 
   106   else  | 
   110   echo "" | tee -a $out  | 
   107       echo "  --> test failed" | tee -a $out  | 
   111   echo " val r1 = (ONE ~ \"b\") ~ \"c\"" | tee -a $out  | 
   108   fi  | 
   112   echo " assert(der('a', r1) == ((ZERO ~ \"b\") | ZERO) ~ \"c\")" | tee -a $out | 
   109 fi  | 
   113   echo " assert(der('b', r1) == ((ZERO ~ \"b\") | ONE) ~ \"c\")" | tee -a $out | 
   110   | 
   114   echo " assert(der('c', r1) == ((ZERO ~ \"b\") | ZERO) ~ \"c\")" | tee -a $out | 
   111   | 
   115   echo "" | tee -a $out  | 
         | 
   116   echo " val r2 = ((ZERO ~ \"b\") | ONE) ~ \"c\"" | tee -a $out  | 
         | 
   117   echo " assert(der('a', r2) == ((((ZERO ~ \"b\") | ZERO) ~ \"c\") | ZERO))" | tee -a $out | 
         | 
   118   echo " assert(der('b', r2) == ((((ZERO ~ \"b\") | ZERO) ~ \"c\") | ZERO))" | tee -a $out | 
         | 
   119   echo " assert(der('c', r2) == ((((ZERO ~ \"b\") | ZERO) ~ \"c\") | ONE))" | tee -a $out | 
         | 
   120   | 
         | 
   121   if (scala_assert "re.scala" "re_test2.scala")  | 
         | 
   122   then  | 
         | 
   123       echo "  --> success" | tee -a $out  | 
         | 
   124       marks=$(( marks + 1 ))  | 
         | 
   125   else  | 
         | 
   126       echo "  --> test failed" | tee -a $out  | 
         | 
   127   fi  | 
         | 
   128 fi  | 
         | 
   129   | 
         | 
   130 ### re3 test  | 
   112   | 
   131   | 
   113 if [ $tsts1 -eq 0 ]  | 
   132 if [ $tsts1 -eq 0 ]  | 
   114 then  | 
   133 then  | 
   115   echo " simp(ZERO | ONE) == ONE" | tee -a $out  | 
   134   echo " simp(ZERO | ONE) == ONE" | tee -a $out  | 
   116   echo " simp(STAR(ZERO | ONE)) == STAR(ZERO | ONE)" | tee -a $out  | 
   135   echo " simp(STAR(ZERO | ONE)) == STAR(ZERO | ONE)" | tee -a $out  | 
   117   echo " simp(ONE ~ (ONE ~ (ONE ~ CHAR('a')))) == CHAR('a')" | tee -a $out | 
   136   echo " simp(ONE ~ (ONE ~ (ONE ~ CHAR('a')))) == CHAR('a')" | tee -a $out | 
         | 
   137   echo " simp(((ONE ~ ONE) ~ ONE) ~ CHAR('a')) == CHAR('a')" | tee -a $out | 
         | 
   138   echo " simp(((ONE | ONE) ~ ONE) ~ CHAR('a')) == CHAR('a')" | tee -a $out | 
   118   echo " simp(ONE ~ (ONE ~ (ONE ~ ZERO))) == ZERO" | tee -a $out  | 
   139   echo " simp(ONE ~ (ONE ~ (ONE ~ ZERO))) == ZERO" | tee -a $out  | 
   119   echo " simp(ALT(ONE ~ (ONE ~ (ONE ~ ZERO)), CHAR('a'))) == CHAR('a')" | tee -a $out | 
   140   echo " simp(ALT(ONE ~ (ONE ~ (ONE ~ ZERO)), CHAR('a'))) == CHAR('a')" | tee -a $out | 
   120   echo " simp(CHAR('a') | CHAR('a')) == CHAR('a')" | tee -a $out | 
   141   echo " simp(CHAR('a') | CHAR('a')) == CHAR('a')" | tee -a $out | 
   121   echo " simp(CHAR('a') ~ CHAR('a')) == CHAR('a') ~ CHAR('a')" | tee -a $out | 
   142   echo " simp(CHAR('a') ~ CHAR('a')) == CHAR('a') ~ CHAR('a')" | tee -a $out | 
   122   echo " simp(ONE | CHAR('a')) == (ONE | CHAR('a'))" | tee -a $out | 
   143   echo " simp(ONE | CHAR('a')) == (ONE | CHAR('a'))" | tee -a $out | 
   123   echo " simp(ALT((CHAR('a') | ZERO) ~ ONE," | tee -a $out | 
   144   echo " simp(ALT((CHAR('a') | ZERO) ~ ONE," | tee -a $out | 
   124   echo "          ((ONE | CHAR('b')) | CHAR('c')) ~ (CHAR('d') ~ ZERO))) == CHAR('a')" | tee -a $out | 
   145   echo "          ((ONE | CHAR('b')) | CHAR('c')) ~ (CHAR('d') ~ ZERO))) == CHAR('a')" | tee -a $out | 
   125   echo " simp((ZERO | ((ZERO | ZERO) | (ZERO | ZERO))) ~ ((ONE | ZERO) | ONE ) ~ (CHAR('a'))) == ZERO" | tee -a $out | 
   146   echo " simp((ZERO | ((ZERO | ZERO) | (ZERO | ZERO))) ~ ((ONE | ZERO) | ONE ) ~ (CHAR('a'))) == ZERO" | tee -a $out | 
   126   echo " simp(ALT(ONE | ONE, ONE | ONE)) == ONE" | tee -a $out  | 
   147   echo " simp(ALT(ONE | ONE, ONE | ONE)) == ONE" | tee -a $out  | 
   127   echo " simp(ALT(ZERO | CHAR('a'), CHAR('a') | ZERO)) == CHAR('a')" | tee -a $out | 
   148   echo " simp(ALT(ZERO | CHAR('a'), CHAR('a') | ZERO)) == CHAR('a')" | tee -a $out | 
   128   echo " simp(Iterator.iterate(ONE:Rexp)(r => SEQ(r, ONE | ONE)).drop(50).next) == ONE" | tee -a $out  | 
   149   echo " simp(ALT(ONE | CHAR('a'), CHAR('a') | ONE)) == ALT(ONE | CHAR('a'), CHAR('a') | ONE)" tee -a $out | 
   129   echo "    the Iterator produces the rexp" | tee -a $out  | 
   150     | 
   130   echo "" | tee -a $out  | 
   151   if (scala_assert "re.scala" "re_test3.scala")  | 
   131   echo "      SEQ(SEQ(SEQ(..., ONE | ONE) , ONE | ONE), ONE | ONE)" | tee -a $out  | 
   152   then  | 
   132   echo "" | tee -a $out  | 
   153       echo "  --> success" | tee -a $out  | 
   133   echo "    where SEQ is nested 50 times." | tee -a $out  | 
   154       marks=$(( marks + 1 ))  | 
   134   if (scala_assert "re.scala" "re1c_test.scala")  | 
   155   else  | 
   135   then  | 
   156       echo "  --> test failed" | tee -a $out  | 
   136       echo "  --> success" | tee -a $out  | 
   157   fi  | 
   137       marks=$(( marks + 2 ))  | 
   158 fi  | 
   138   else  | 
   159   | 
   139       echo "  --> test failed" | tee -a $out  | 
   160 ### re4 test  | 
   140   fi  | 
         | 
   141 fi  | 
         | 
   142   | 
         | 
   143   | 
   161   | 
   144 if [ $tsts1 -eq 0 ]  | 
   162 if [ $tsts1 -eq 0 ]  | 
   145 then  | 
   163 then  | 
   146   echo " val EVIL = SEQ(STAR(STAR(CHAR('a'))), CHAR('b'))" | tee -a $out | 
   164   echo " val EVIL = SEQ(STAR(STAR(CHAR('a'))), CHAR('b'))" | tee -a $out | 
   147   echo " ders((\"a\" * 5).toList,EVIL) == SEQ(SEQ(STAR(CHAR('a')),STAR(STAR(CHAR('a')))),CHAR('b'))" | tee -a $out | 
   165   echo " ders((\"a\" * 5).toList,EVIL) == SEQ(SEQ(STAR(CHAR('a')),STAR(STAR(CHAR('a')))),CHAR('b'))" | tee -a $out | 
   151   echo " matcher(EVIL, \"a\" * 50 ++ \"b\") == true" | tee -a $out  | 
   169   echo " matcher(EVIL, \"a\" * 50 ++ \"b\") == true" | tee -a $out  | 
   152   echo " matcher(EVIL, \"a\" * 50) == false" | tee -a $out  | 
   170   echo " matcher(EVIL, \"a\" * 50) == false" | tee -a $out  | 
   153   echo " matcher(EVIL, \"b\") == true" | tee -a $out  | 
   171   echo " matcher(EVIL, \"b\") == true" | tee -a $out  | 
   154   echo " matcher(EVIL, \"bb\") == false" | tee -a $out  | 
   172   echo " matcher(EVIL, \"bb\") == false" | tee -a $out  | 
   155   echo " matcher(\"abc\", \"abc\") == true" | tee -a $out  | 
   173   echo " matcher(\"abc\", \"abc\") == true" | tee -a $out  | 
         | 
   174   echo " matcher(\"abc\", \"ab\") == true" | tee -a $out  | 
   156   echo " matcher((\"ab\" | \"a\") ~ (ONE | \"bc\"), \"abc\") == true" | tee -a $out  | 
   175   echo " matcher((\"ab\" | \"a\") ~ (ONE | \"bc\"), \"abc\") == true" | tee -a $out  | 
   157   echo " matcher(ONE, \"\") == true" | tee -a $out  | 
   176   echo " matcher(ONE, \"\") == true" | tee -a $out  | 
   158   echo " matcher(ZERO, \"\") == false" | tee -a $out  | 
   177   echo " matcher(ZERO, \"\") == false" | tee -a $out  | 
   159   echo " matcher(ONE | CHAR('a'), \"\") == true" | tee -a $out | 
   178   echo " matcher(ONE | CHAR('a'), \"\") == true" | tee -a $out | 
   160   echo " matcher(ONE | CHAR('a'), \"a\") == true" | tee -a $out | 
   179   echo " matcher(ONE | CHAR('a'), \"a\") == true" | tee -a $out | 
   161     | 
   180     | 
   162   if (scala_assert "re.scala" "re1d_test.scala")  | 
   181   if (scala_assert "re.scala" "re_test4.scala")  | 
   163   then  | 
   182   then  | 
   164       echo "  --> success" | tee -a $out  | 
   183       echo "  --> success" | tee -a $out  | 
   165       marks=$(( marks + 1 ))  | 
   184       marks=$(( marks + 1 ))  | 
   166   else  | 
   185   else  | 
   167       echo "  --> test failed" | tee -a $out  | 
   186       echo "  --> test failed" | tee -a $out  | 
   168   fi  | 
   187   fi  | 
   169 fi  | 
   188 fi  | 
         | 
   189   | 
         | 
   190 ### re5 test  | 
   170   | 
   191   | 
   171   | 
   192   | 
   172 if [ $tsts1 -eq 0 ]  | 
   193 if [ $tsts1 -eq 0 ]  | 
   173 then  | 
   194 then  | 
   174   echo " val EVIL = SEQ(STAR(STAR(CHAR('a'))), CHAR('b'))" | tee -a $out   | 
   195   echo " val EVIL = SEQ(STAR(STAR(CHAR('a'))), CHAR('b'))" | tee -a $out   | 
   175   echo " size(der('a', der('a', EVIL))) == 28" | tee -a $out | 
   196   echo " size(der('a', der('a', EVIL))) == 28" | tee -a $out | 
   176   echo " size(der('a', der('a', der('a', EVIL)))) == 58" | tee -a $out | 
   197   echo " size(der('a', der('a', der('a', EVIL)))) == 58" | tee -a $out | 
   177   echo " size(ders(\"aaaaaa\".toList, EVIL)) == 8" | tee -a $out  | 
   198   echo " size(ders(\"aaaaaa\".toList, EVIL)) == 8" | tee -a $out  | 
   178   echo " size(ders((\"a\" * 50).toList, EVIL)) == 8" | tee -a $out  | 
   199   echo " size(ders((\"a\" * 50).toList, EVIL)) == 8" | tee -a $out  | 
   179     | 
   200     | 
   180   if (scala_assert "re.scala" "re1e_test.scala")  | 
   201   if (scala_assert "re.scala" "re_test5.scala")  | 
         | 
   202   then  | 
         | 
   203       echo "  --> success" | tee -a $out  | 
         | 
   204       marks=$(( marks + 1 ))  | 
         | 
   205   else  | 
         | 
   206       echo "  --> test failed" | tee -a $out  | 
         | 
   207   fi  | 
         | 
   208 fi  | 
         | 
   209   | 
         | 
   210 ### re6 'power' test  | 
         | 
   211   | 
         | 
   212   | 
         | 
   213   | 
         | 
   214 if [ $tsts1 -eq 0 ]  | 
         | 
   215 then  | 
         | 
   216   echo " simp(Iterator.iterate(ONE:Rexp)(r => SEQ(r, ONE | ONE)).drop(50).next) == ONE" | tee -a $out  | 
         | 
   217   echo "    ...the Iterator produces the rexp" | tee -a $out  | 
         | 
   218   echo "" | tee -a $out  | 
         | 
   219   echo "      SEQ(SEQ(SEQ(..., ONE | ONE) , ONE | ONE), ONE | ONE)" | tee -a $out  | 
         | 
   220   echo "" | tee -a $out  | 
         | 
   221   echo "    where SEQ is nested 50 times." | tee -a $out    | 
         | 
   222   echo "" | tee -a $out  | 
         | 
   223   echo " simp(Iterator.iterate(ONE:Rexp)(r => ALT(r, r)).drop(20).next) == ONE" | tee -a $out  | 
         | 
   224   echo "    ... the Iterator produces a rexp of size 2097151" | tee -a $out  | 
         | 
   225   echo "" | tee -a $out  | 
         | 
   226   echo " val EVIL = SEQ(STAR(STAR(CHAR('a'))), CHAR('b'))" | tee -a $out | 
         | 
   227   echo " matcher(EVIL, \"a\" * 1000000 ++ \"b\") == true" | tee -a $out  | 
         | 
   228   echo " matcher(EVIL, \"a\" * 1000000) == false" | tee -a $out  | 
         | 
   229   | 
         | 
   230     | 
         | 
   231   if (time scala_assert_long "re.scala" "re_test6.scala")  | 
   181   then  | 
   232   then  | 
   182       echo "  --> success" | tee -a $out  | 
   233       echo "  --> success" | tee -a $out  | 
   183       marks=$(( marks + 1 ))  | 
   234       marks=$(( marks + 1 ))  | 
   184   else  | 
   235   else  | 
   185       echo "  --> test failed" | tee -a $out  | 
   236       echo "  --> test failed" | tee -a $out  | 
   186   fi  | 
   237   fi  | 
   187 fi  | 
   238 fi  | 
   188   | 
   239   | 
   189   | 
   240   | 
   190 ## final marks  | 
   241 ## final marks  | 
   191 echo "Overall mark for CW 8, Part 1" | tee -a $out  | 
   242 echo "Overall mark for CW 9, Part 1" | tee -a $out  | 
   192 echo "$marks" | tee -a $out  | 
   243 echo "$marks" | tee -a $out  | 
   193   | 
   244   | 
   194   | 
   245   |