CookBook/Solutions.thy
author Christian Urban <urbanc@in.tum.de>
Tue, 16 Dec 2008 08:08:44 +0000
changeset 56 126646f2aa88
parent 47 4daf913fdbe1
child 58 f3794c231898
permissions -rw-r--r--
added a para on Scan.unless and an exercise about scanning comments
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
15
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
     1
theory Solutions
25
e2f9f94b26d4 Antiquotation setup is now contained in theory Base.
berghofe
parents: 15
diff changeset
     2
imports Base
15
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
     3
begin
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
     4
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
     5
chapter {* Solutions to Most Exercises *}
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
     6
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
     7
text {* \solution{fun:revsum} *}
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
     8
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
     9
ML {* 
47
4daf913fdbe1 hakked latex so that it does not display ML {* *}; general tuning
Christian Urban <urbanc@in.tum.de>
parents: 35
diff changeset
    10
fun rev_sum t =
4daf913fdbe1 hakked latex so that it does not display ML {* *}; general tuning
Christian Urban <urbanc@in.tum.de>
parents: 35
diff changeset
    11
let
4daf913fdbe1 hakked latex so that it does not display ML {* *}; general tuning
Christian Urban <urbanc@in.tum.de>
parents: 35
diff changeset
    12
 fun dest_sum (Const (@{const_name plus}, _) $ u $ u') = u' :: dest_sum u
4daf913fdbe1 hakked latex so that it does not display ML {* *}; general tuning
Christian Urban <urbanc@in.tum.de>
parents: 35
diff changeset
    13
   | dest_sum u = [u]
4daf913fdbe1 hakked latex so that it does not display ML {* *}; general tuning
Christian Urban <urbanc@in.tum.de>
parents: 35
diff changeset
    14
 in
4daf913fdbe1 hakked latex so that it does not display ML {* *}; general tuning
Christian Urban <urbanc@in.tum.de>
parents: 35
diff changeset
    15
   foldl1 (HOLogic.mk_binop @{const_name plus}) (dest_sum t)
4daf913fdbe1 hakked latex so that it does not display ML {* *}; general tuning
Christian Urban <urbanc@in.tum.de>
parents: 35
diff changeset
    16
 end;
15
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
    17
*}
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
    18
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
    19
text {* \solution{fun:makesum} *}
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
    20
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
    21
ML {*
47
4daf913fdbe1 hakked latex so that it does not display ML {* *}; general tuning
Christian Urban <urbanc@in.tum.de>
parents: 35
diff changeset
    22
fun make_sum t1 t2 =
4daf913fdbe1 hakked latex so that it does not display ML {* *}; general tuning
Christian Urban <urbanc@in.tum.de>
parents: 35
diff changeset
    23
    HOLogic.mk_nat (HOLogic.dest_nat t1 + HOLogic.dest_nat t2)
15
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
    24
*}
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
    25
56
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    26
text {* \solution{ex:scancmts} *}
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    27
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    28
ML {*
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    29
val any = Scan.one (Symbol.not_eof);
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    30
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    31
val scan_cmt =
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    32
  let
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    33
    val begin_cmt = Scan.this_string "(*" 
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    34
    val end_cmt = Scan.this_string "*)"
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    35
  in
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    36
   begin_cmt |-- Scan.repeat (Scan.unless end_cmt any) --| end_cmt 
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    37
   >> (enclose "(**" "**)" o implode)
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    38
  end
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    39
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    40
val scan_all =
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    41
  Scan.finite Symbol.stopper (Scan.repeat (scan_cmt || any)) 
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    42
    >> implode #> fst 
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    43
*}
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    44
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    45
text {*
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    46
  By using @{ML_text "#> fst"} in the last line, the function 
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    47
  @{ML scan_all} retruns a string instead of a pair. For example:
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    48
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    49
  @{ML_response [display] "scan_all (explode \"foo bar\")" "\"foo bar\""}
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    50
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    51
  @{ML_response [display] "scan_all (explode \"foo (*test*) bar (*test*)\")" 
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    52
                          "\"foo (**test**) bar (**test**)\""}
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    53
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    54
*}
126646f2aa88 added a para on Scan.unless and an exercise about scanning comments
Christian Urban <urbanc@in.tum.de>
parents: 47
diff changeset
    55
15
9da9ba2b095b added a solution section and some other minor additions
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
    56
end