author | nipkow |
Fri, 17 May 2013 08:19:52 +0200 | |
changeset 52046 | bc01725d7918 |
parent 51922 | 4cf0b93f9639 |
child 52107 | 0c21dffc177a |
permissions | -rw-r--r-- |
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theory Abs_Int_Tests |
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imports Com |
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begin |
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subsection "Test Programs" |
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text{* For constant propagation: *} |
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text{* Straight line code: *} |
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definition "test1_const = |
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''y'' ::= N 7;; |
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''z'' ::= Plus (V ''y'') (N 2);; |
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''y'' ::= Plus (V ''x'') (N 0)" |
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text{* Conditional: *} |
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definition "test2_const = |
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IF Less (N 41) (V ''x'') THEN ''x'' ::= N 5 ELSE ''x'' ::= N 5" |
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text{* Conditional, test is relevant: *} |
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definition "test3_const = |
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''x'' ::= N 42;; |
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IF Less (N 41) (V ''x'') THEN ''x'' ::= N 5 ELSE ''x'' ::= N 6" |
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text{* While: *} |
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definition "test4_const = |
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''x'' ::= N 0;; WHILE Bc True DO ''x'' ::= N 0" |
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text{* While, test is relevant: *} |
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definition "test5_const = |
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''x'' ::= N 0;; WHILE Less (V ''x'') (N 1) DO ''x'' ::= N 1" |
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text{* Iteration is needed: *} |
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definition "test6_const = |
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''x'' ::= N 0;; ''y'' ::= N 0;; ''z'' ::= N 2;; |
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WHILE Less (V ''x'') (N 1) DO (''x'' ::= V ''y'';; ''y'' ::= V ''z'')" |
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text{* For intervals: *} |
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definition "test1_ivl = |
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''y'' ::= N 7;; |
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IF Less (V ''x'') (V ''y'') |
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THEN ''y'' ::= Plus (V ''y'') (V ''x'') |
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ELSE ''x'' ::= Plus (V ''x'') (V ''y'')" |
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definition "test2_ivl = |
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WHILE Less (V ''x'') (N 100) |
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DO ''x'' ::= Plus (V ''x'') (N 1)" |
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definition "test3_ivl = |
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''x'' ::= N 7;; |
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WHILE Less (V ''x'') (N 100) |
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DO ''x'' ::= Plus (V ''x'') (N 1)" |
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definition "test4_ivl = |
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''x'' ::= N 0;; ''y'' ::= N 0;; |
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WHILE Less (V ''x'') (N 11) |
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DO (''x'' ::= Plus (V ''x'') (N 1);; ''y'' ::= Plus (V ''y'') (N 1))" |
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definition "test5_ivl = |
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''x'' ::= N 0;; ''y'' ::= N 0;; |
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WHILE Less (V ''x'') (N 1000) |
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DO (''y'' ::= V ''x'';; ''x'' ::= Plus (V ''x'') (N 1))" |
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definition "test6_ivl = |
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''x'' ::= N 0;; |
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WHILE Less (N -1) (V ''x'') DO ''x'' ::= Plus (V ''x'') (N 1)" |
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end |