1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
-- ---------------------------------------------------------------------------
--- This library contains a definition for representing Curry programs
--- in Curry.
---
--- Note this defines a slightly new format for AbstractCurry
--- in comparison to the first proposal of 2003.
---
--- Assumption: an abstract Curry program is stored in file with
--- extension .acy
---
--- @author Michael Hanus, Bjoern Peemoeller
--- @version September 2015
--- @category meta
-- ---------------------------------------------------------------------------

module AbstractCurry.Types where

-- ---------------------------------------------------------------------------
-- Definition of data types for representing abstract Curry programs:
-- ---------------------------------------------------------------------------

--- Current version of AbstractCurry
version :: String
version = "AbstractCurry 1.0"

--- A module name.
type MName = String

--- The data type for representing qualified names.
--- In AbstractCurry all names are qualified to avoid name clashes.
--- The first component is the module name and the second component the
--- unqualified name as it occurs in the source program.
--- An exception are locally defined names where the module name is
--- the empty string (to avoid name clashes with a globally defined name).
type QName = (MName, String)

--- Data type to specify the visibility of various entities.
data CVisibility
  = Public    -- exported entity
  | Private   -- private entity


--- Data type for representing a Curry module in the intermediate form.
--- A value of this data type has the form
--- 
---     (CurryProg modname imports typedecls functions opdecls)
--- 
--- where modname: name of this module,
---       imports: list of modules names that are imported,
---       typedecls: Type declarations
---       functions: Function declarations
---       opdecls: Operator precedence declarations
data CurryProg = CurryProg MName [MName] [CTypeDecl] [CFuncDecl] [COpDecl]

--- Data type for representing definitions of algebraic data types
--- and type synonyms.
---
--- A data type definition of the form
---
---     data t x1...xn = ...| c t1....tkc |...
---
--- is represented by the Curry term
---
---     (CType t v [i1,...,in] [...(CCons c kc v [t1,...,tkc])...])
---
--- where each `ij` is the index of the type variable `xj`.
---
--- Note: the type variable indices are unique inside each type declaration
---       and are usually numbered from 0
---
--- Thus, a data type declaration consists of the name of the data type,
--- a list of type parameters and a list of constructor declarations.
data CTypeDecl
  = CType    QName CVisibility [CTVarIName] [CConsDecl]
  | CTypeSyn QName CVisibility [CTVarIName] CTypeExpr
  | CNewType QName CVisibility [CTVarIName] CConsDecl

--- The type for representing type variables.
--- They are represented by (i,n) where i is a type variable index
--- which is unique inside a function and n is a name (if possible,
--- the name written in the source program).
type CTVarIName = (Int, String)

--- A constructor declaration consists of the name of the
--- constructor and a list of the argument types of the constructor.
--- The arity equals the number of types.
data CConsDecl
  = CCons   QName CVisibility [CTypeExpr]
  | CRecord QName CVisibility [CFieldDecl]

--- A record field declaration consists of the name of the
--- the label, the visibility and its corresponding type.
data CFieldDecl = CField QName CVisibility CTypeExpr

--- Type expression.
--- A type expression is either a type variable, a function type,
--- or a type constructor application.
---
--- Note: the names of the predefined type constructors are
---       "Int", "Float", "Bool", "Char", "IO",
---       "()" (unit type), "(,...,)" (tuple types), "[]" (list type)
data CTypeExpr
  = CTVar CTVarIName               -- type variable
  | CFuncType CTypeExpr CTypeExpr  -- function type t1->t2
  | CTCons QName [CTypeExpr]       -- type constructor application
                                   -- (CTCons (module,name) arguments)

--- Labeled record fields
type CField a = (QName, a)

--- Data type for operator declarations.
--- An operator declaration "fix p n" in Curry corresponds to the
--- AbstractCurry term (COp n fix p).
data COpDecl = COp QName CFixity Int

--- Data type for operator associativity
data CFixity
  = CInfixOp   -- non-associative infix operator
  | CInfixlOp  -- left-associative infix operator
  | CInfixrOp  -- right-associative infix operator

--- Function arity
type Arity = Int

--- Data type for representing function declarations.
---
--- A function declaration in AbstractCurry is a term of the form
---
---     (CFunc name arity visibility type (CRules eval [CRule rule1,...,rulek]))
---
--- and represents the function `name` defined by the rules
--- `rule1,...,rulek`.
---
--- Note: the variable indices are unique inside each rule
---
--- Thus, a function declaration consists of the name, arity, type, and
--- a list of rules. The type is the function's type inferred by the
--- type checker. However, if an AbstractCurry program is read with
--- the operation `AbstractCurry.Files.readUntypedCurry`, the type
--- is either the type signature provided by the programmer or
--- the expression `(CTCons ("Prelude","untyped")`
--- if the programmer has not provided an explicit type signature.
---
--- A function declaration with the constructor `CmtFunc`
--- is similarly to `CFunc` but has a comment
--- as an additional first argument. This comment could be used
--- by pretty printers that generate a readable Curry program
--- containing documentation comments.
data CFuncDecl
  = CFunc          QName Arity CVisibility CTypeExpr [CRule]
  | CmtFunc String QName Arity CVisibility CTypeExpr [CRule]

--- The general form of a function rule. It consists of a list of patterns
--- (left-hand side) and the right-hand side for these patterns.
data CRule = CRule [CPattern] CRhs

--- Right-hand-side of a 'CRule' or a `case` expression.
--- It is either a simple unconditional right-hand side or
--- a list of guards with their corresponding right-hand sides, and
--- a list of local declarations.
data CRhs
  = CSimpleRhs  CExpr            [CLocalDecl] -- expr where decls
  | CGuardedRhs [(CExpr, CExpr)] [CLocalDecl] -- | cond = expr where decls

--- Data type for representing local (let/where) declarations
data CLocalDecl
  = CLocalFunc CFuncDecl     -- local function declaration
  | CLocalPat  CPattern CRhs -- local pattern declaration
  | CLocalVars [CVarIName]   -- local free variable declaration

--- Data types for representing object variables.
--- Object variables occurring in expressions are represented by (Var i)
--- where i is a variable index.
type CVarIName = (Int,String)

--- Data type for representing pattern expressions.
data CPattern
  = CPVar      CVarIName               -- pattern variable (unique index / name)
  | CPLit      CLiteral                -- literal (Integer/Float/Char constant)
  | CPComb     QName [CPattern]        -- application (m.c e1 ... en) of n-ary
                                       -- constructor m.c (CPComb (m,c) [e1,...,en])
  | CPAs       CVarIName CPattern      -- as-pattern (extended Curry)
  | CPFuncComb QName [CPattern]        -- function pattern (extended Curry)
  | CPLazy     CPattern                -- lazy pattern (extended Curry)
  | CPRecord   QName [CField CPattern] -- record pattern (extended Curry)

--- Data type for representing Curry expressions.
data CExpr
 = CVar       CVarIName                          -- variable (unique index / name)
 | CLit       CLiteral                           -- literal (Integer/Float/Char constant)
 | CSymbol    QName                              -- a defined symbol with module and name
 | CApply     CExpr CExpr                        -- application (e1 e2)
 | CLambda    [CPattern] CExpr                   -- lambda abstraction
 | CLetDecl   [CLocalDecl] CExpr                 -- local let declarations
 | CDoExpr    [CStatement]                       -- do expression
 | CListComp  CExpr [CStatement]                 -- list comprehension
 | CCase      CCaseType CExpr [(CPattern, CRhs)] -- case expression
 | CTyped     CExpr CTypeExpr                    -- typed expression
 | CRecConstr QName [CField CExpr]               -- record construction (extended Curry)
 | CRecUpdate CExpr [CField CExpr]               -- record update (extended Curry)

--- Data type for representing literals occurring in an expression.
--- It is either an integer, a float, or a character constant.
data CLiteral
  = CIntc   Int
  | CFloatc Float
  | CCharc  Char
  | CStringc String

--- Data type for representing statements in do expressions and
--- list comprehensions.
data CStatement
  = CSExpr CExpr         -- an expression (I/O action or boolean)
  | CSPat CPattern CExpr -- a pattern definition
  | CSLet [CLocalDecl]   -- a local let declaration

--- Type of case expressions
data CCaseType
  = CRigid -- rigid case expression
  | CFlex  -- flexible case expression

---------------------------------------------------------------------------
--- The name of the standard prelude.
preludeName :: String
preludeName = "Prelude"

--- Converts a string into a qualified name of the Prelude.
pre :: String -> QName
pre f = (preludeName, f)

---------------------------------------------------------------------------