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CHAPTER 6. TRANSFORMATIONS Example 6.1 – Introducing a variable type T = ... ✄ type T = ... variable t : T If the type of interest is a product type it can be an advantage to define a variable for each component of the product in order to be able to refer to these in the function declarations, see Example 6.2. Example 6.2 – Introducing variables from product type type T = U × V, U = ..., V = ... ✄ type T = U × V, U = ..., V = ... variable u : U, v : V 6.4 Transforming Explicit Function Definitions After deciding on the type of interest and introducing the corresponding variable the function definitions can be transformed. An explicit function definition has the form: single_typing formal_function_application ≡ value_expr optional_pre_condition 32
6.4. TRANSFORMING EXPLICIT FUNCTION DEFINITIONS The transformation of an explicit function definition can be done in four steps: 1. Transformation of the single typing, also known as the function signature. 2. Transformation of the formal function application. 3. Transformation of the value expression. 4. Transformation of the possible pre-condition. These steps are described below. 6.4.1 Transforming Single Typings When transforming a single typing the single typing keeps its id. Only single typings in which the type expression is a function type expression are allowed. The function type expression is transformed in the following way: • The type of the arrow, either total or partial, of the type expression is preserved. • If the applicative function takes the type of interest T as argument, this is removed from the left hand side of the arrow and replaced by an access descriptor read t at the right hand side of the arrow, where t is the variable name of the type of interest. • If the applicative function returns the type of interest, this is replaced by an access descriptor write t. • Any gaps in the single typing after the above transformation are filled with Unit, that is if the whole left or right hand side of the arrow are removed. Examples of transformations of single typings are given in Table 6.1 on the following page. Furthermore, if the value expression of the function contains hidden observers or generators or implicit observers or generators, read/write access descriptors matching those of the observers/generators have to be included in the single typing. This has to be done recursively, such that if a function contains an application of a function containing observers and/or generators the appropriate read and write access descriptors matching these observers and generators have to be included in the single typing of the original function, and so on. The inclusion of both read and write access descriptors of the same variable is not necessary due to the fact that write implies read. The 33
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CHAPTER 8. SPECIFICATIONS subtypes.
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CHAPTER 9. IMPLEMENTATION OF THE TR
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CHAPTER 10. EXAMPLES OF TRANSFORMAT
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CHAPTER 11. TEST 11.1.1 Lexer and P
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CHAPTER 11. TEST An overview of the
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CHAPTER 12. POSSIBLE EXTENSIONS OF
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CHAPTER 13. CONCLUSION RSL AST and
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CHAPTER 13. CONCLUSION 132
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BIBLIOGRAPHY [ST02] Donald Sannello
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APPENDIX A. USING AND EXTENDING THE
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APPENDIX A. USING AND EXTENDING THE
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APPENDIX B. CONTENTS OF CD-ROM 140
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APPENDIX C. FORMAL SPECIFICATIONS O
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APPENDIX D. SPECIFICATION OF TRANSF
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APPENDIX E. ANTLR GRAMMAR END = "en
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APPENDIX E. ANTLR GRAMMAR ; d = d e
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APPENDIX E. ANTLR GRAMMAR prod_bind
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APPENDIX F. SOURCE CODE System . e
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APPENDIX F. SOURCE CODE public void
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APPENDIX F. SOURCE CODE StringRSLAs
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APPENDIX G. TEST RESULTS continued
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