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The Myrddin Programming Language Jul 2012 Updated Dec 2016 Ori Bernstein TABLE OF CONTENTS: 1. ABOUT 2. LEXICAL CONVENTIONS 2.1. EBNF-ish 2.2. As-If Rule 3. STRUCTURE: 3.1. Whitespace and Keywords 3.2. Top Level Structure 3.3. Declarations 3.4. Packages and Uses 3.5. Scoping 4. TYPES 4.1. Primitive Types 4.2. User Defined Types 4.3. Generic Types 4.4. Traits and Impls 4.5. Type Inference 5. VALUES AND EXPRESSIONS 5.1. Literal Values 5.2. Expressions 6. CONTROL FLOW 6.1. Blocks 6.2. Conditionals 6.3. Matches 6.4. Looping 6.5. Goto 7. GRAMMAR 1. ABOUT: Myrddin is designed to be a simple, low-level programming language. It is designed to provide the programmer with predictable behavior and a transparent compilation model, while at the same time providing the benefits of strong type checking, generics, type inference, and similar. Myrddin is not a language designed to explore the forefront of type theory or compiler technology. It is not a language that is focused on guaranteeing perfect safety. Its focus is on being a practical, small, fairly well defined, and easy to understand language for work that needs to be close to the hardware. Myrddin is a computer language influenced strongly by C and ML, with ideas from too many other places to name. 2. LEXICAL CONVENTIONS: 2.1. EBNF-ish: Syntax is defined using an informal variant of EBNF. token: /regex/ | "quoted" | <informal description> prod: prodname ":" expr* expr: alt ( "|" alt )* alt: term term* term: prod | token | group | opt | rep group: "(" expr ")" . opt: "[" expr "]" . rep: zerorep | onerep zerorep: term "*" onerep: term "+" Whitespace and comments are ommitted in this description. To put it in words, /regex/ defines a regular expression that would match a single token in the input. "quoted" would match a single string. <english description> contains an informal description of what characters would match. Productions are defined by any number of expressions, in which expressions are '|' separated sequences of terms. Terms can are productions or tokens, and may come with a repeat specifier. wrapping a term in "[]" denotes that the term is repeated 0 or 1 times. suffixing it with a '*' denotes 0 or more repetitions, and '+' denotes 1 or more repetitions. 2.2. As-If Rule: Anything specified here may be treated however the compiler wishes, as long as the result is observed as if the semantics specified were followed strictly. 3. STRUCTURE: 3.1. Whitespace and Keywords: The language is composed of several classes of tokens. There are comments, identifiers, keywords, punctuation, and whitespace. Comments begin with "/*" and end with "*/". They may nest. /* this is a comment /* with another inside */ */ Alternatively, '//' may be used to denote a comment. This comment will extend to the end of the current line. Newlines within a line comment may not be escaped. // this is a line comment // it will end on this line, regardless of the trailing \ Identifiers begin with any alphabetic character or underscore, and continue with alphanumeric characters or underscores. Currently the compiler places a limit of 1024 bytes on the length of the identifier. some_id_234__ Keywords are a special class of identifier that is reserved by the language and given a special meaning. The full set of keywords are listed below. Their meanings will be covered later in this reference manual. $noret _ break castto const continue elif else extern false for generic goto if impl in match pkg pkglocal sizeof struct trait true type union use var void while Literals are a direct representation of a data object within the source of the program. There are several literals implemented within the language. These are fully described in section 4.2 of this manual. Single semicolons (';') and newline (\n) characters are synonymous and interchangable. They both are used to mark the end of logical lines, and will be uniformly referred to as line terminators. 3.2. Top Level Structure: file: (decl | package | use | implstmt | traitdef | tydef)* A file is composed of a sequence of top level elements. These top level elements consist of: - Declarations: These define a constant or a variable. It's worth noting that Myrddin has no special syntax for declaring functions, but instead assigns a closure to a variable or constant. - Package Definitions: These define the list of exported values from a file. As part of compilation, all the exported names from a package will get merged together from all the files being built into that package. - Use Statements: These import symbols for use within the file. These symbols come from either installed packages or files within the project being compiled. - Type Definitions: These define new types. - Trait Definitions: These define traits, which are attributes on types that may be implemented by impl functions. They define required functions on the type. - Impl Statements: These define implementations of traits, allowing an existing trait to be attached to an existing type. 3.3. Declarations: decl: attrs ("var" | "const" | "generic") decllist attrs: ("exern" | "pkglocal" | "$noret")+ decllist: declbody ("," declbody)* declbody: declcore ["=" expr] declcore: name [":" type] A declaration consists of a declaration class (i.e., one of 'const', 'var', or 'generic'), followed by a declaration name, optionally followed by a type and assignment. One thing you may note is that unlike most other languages, there is no special function declaration syntax. Instead, a function is declared like any other value: by assigning its name to a constant or variable. const: Declares a constant value, which may not be modified at run time. Constants must have initializers defined. var: Declares a variable value. This value may be assigned to, copied from, and modified. generic: Declares a specializable value. This value has the same restrictions as a const, but taking its address is not defined. The type parameters for a generic must be explicitly named in the declaration in order for their substitution to be allowed. In addition, declarations may accept a number of modifiers which change the attributes of the declarations: extern: Declares a variable as having external linkage. Assigning a definition to this variable within the file that contains the extern definition is an error. pkglocal: Declares a variable which is local to the package. This variable may be used from other files that declare the same `pkg` namespace, but referring to it from outside the namespace is an error. $noret: Declares the function to which this is applied as a non-returning function. This attribute is only valid when applied to a function. Examples: Declare a constant with a value 123. The type is not defined, and will be inferred: const x = 123 Declare a variable with no value and no type defined. The value can be assigned later (and must be assigned before use), and the type will be inferred. var y Declare a generic with type '@a', and assigns it the value 'blah'. Every place that 'z' is used, it will be specialized, and the type parameter '@a' will be substituted. generic z : @a = blah Declare a function f with and without type inference. Both forms are equivalent. 'f' takes two parameters, both of type int, and returns their sum as an int const f = {a, b var c : int = 42 -> a + b + c } const f : (a : int, b : int -> int) = {a : int, b : int -> int var c : int = 42 -> a + b + c } 3.4. Packages and Uses package: "pkg" ident = decl* ";;" use: bareuse | quoteuse bareuse: use ident quoteuse: use "<quoted string>" There are two keywords for module system. 'use' is the simpler of the two, and has two cases: use syspkg use "localfile" The first form, which does not have the package name quoted, will search the system include paths for the package listed. It does not search relative to the file or the compiler working directory. The quoted form searches the current directory for a use file named "localpkg" and imports it. The 'pkg' keyword allows you to define a (partial) package by listing the symbols and types for export. For example, pkg mypkg = type mytype const Myconst : int = 42 const myfunc : (v : int -> bool) ;; declares a package "mypkg", which defines three exports, "mytype", "Myconst", and "myfunc". The definitions of the values may be defined in the 'pkg' specification, but it is preferred to implement them in the body of the code for readability. Scanning the export list is desirable from a readability perspective. 3.5. Scoping: Myrddin is a lexically scoped language, with namespaces and types defined in a way that facilitates separate compilation with minimal burden on the linker. In Myrddin, declarations may appear in any order, and be used at any point at which it is in scope. Any global symbols are initialized before the program begins. Any nonglobal symbols are initialized on the line where they are defined. This decision allows for slightly strange code, but allows for mutually recursive functions with no forward declarations or special cases. 3.5.1. Scope Rules: Myrddin follows the usual lexical scoping rules. A variable may be defined on any line in the program. From there, any expressions within that block and its sub blocks may refer to it. The variables declared in constructs starting a block are scoped to that block. For example, in `for var i = 0; ...`, the variable `i` is scoped to the body of the for loop. In the function `{x, y; funcbody()}`, the variables `x` and `y` are scoped to the body of the function. Variables may shadow other variables in enclosing scopes, with the exception of captured variables in pattern matches. The rules for matches are covered in depth in section 6.3, but the rationale for this is to prevent ambiguity when matching against defined constants. 3.5.2. Capturing Variables: When a closure is created, it captures all of the variables that it refers to in its scope by value. This allows for simple heapification of the closure. For example: var x = 1 var closure = {; -> x} x++ std.put("x: {}, closure(): {}\n", x, closure()) should output: x: 2, closure(): 1 3.5.2. Namespaces: A namespace introduced by importing a package is gramatically equivalent to a struct member lookup. The namespace is not optional. 3.6. Program Initialization: Any file may define a single function name `__init__`. This function will be invoked before `main` runs, and after the `__init__ `function for all files included through use statements. 4. TYPES: type: primitivetype | compositetype | aggrtype | nametype The language defines a number of built in primitive types. These are not keywords, and in fact live in a separate namespace from the variable names. Yes, this does mean that you could, if you want, define a variable named 'int'. There are no implicit conversions within the language. All types must be explicitly cast if you want to convert, and the casts must be of compatible types, as will be described later. 4.1. Primitive types: primitivetype: misctype | inttype | flttype misctype: "void" | "bool" | "char" | "byte" inttype: "int8" | "uint8" | "int16" | "uint16" | "int32" | "uint32" | "int64" | "uint64" | "int" | "uint" flttype: "flt32" | "flt64" It is important to note that these types are not keywords, but are instead merely predefined identifiers in the type namespace. 'void' is a type containing exactly one value, `void`. It is a full first class value, which can be assigned between variables, stored in arrays, and used in any place any other type is used. Void has size `0`. bool is a type that can only hold true and false. It can be assigned, tested for equality, and used in the various boolean operators. char is a 32 bit integer type, and is guaranteed to hold exactly one Unicode codepoint. It can be assigned integer literals, tested against, compared, and all the other usual numeric types. The various [u]intN types hold, as expected, signed and unsigned integers of the named sizes respectively. All arithmetic on them is done in complement twos of bit size N. Similarly, floats hold floating point types with the indicated precision. They are operated on according to the IEEE754 rules. var x : int declare x as an int var y : float32 declare y as a 32 bit float 4.2. User Defined Types: 4.2.1: Composite Types compositetype: ptrtype | slicetype | arraytype ptrtype: type "#" slicetype: type "[" ":" "]" arraytype: type "[" expr "]" | type "[" "..." "]" Pointers are values that contain the address of the value of their base type. If `t` is a type, then `t#` is a `pointer to t`. Arrays are a sequence of N values, where N is part of the type, meaning that different sizes are incompatible. They are passed by value. Their size must be a compile time constant. If the array size is specified as "...", then the array has zero bytes allocated to store it, and bounds are not checked. This is used to facilitate flexible arrays at the end of a struct, as well as C ABI. Slices are similar to arrays in many contemporary languages. They are reference types that store the length of their contents. They are declared by appending a '[,]' to the base type. foo# type: pointer to foo foo[N] type: array size N of foo foo[:] type: slice of foo 4.2.2. Aggregate types: aggrtype: tupletype | structtype | uniontype tupletype: "(" (tupleelt ",")+ ")" structtype: "struct" "\n" (declcore "\n"| "\n")* ";;" uniontype: "union" "\n" ("`" Ident [type] "\n"| "\n")* ";;" Tuples are a sequence of unnamed values. They are declared by putting the comma separated list of types within round brackets. Structs are aggregations of types with named members. They are declared by putting the word 'struct' before a block of declaration cores (ie, declarations without the storage type specifier). Unions are a traditional sum type. The tag defines the value that may be held by the type at the current time. If the tag has an argument, then this value may be extracted with a pattern match. Otherwise, only the tag may be matched against. (int, int, char) a tuple of 2 ints and a char struct a struct containing an int named a : int 'a', and a char named 'b'. b : char ;; union a union containing one of `Thing int int or char. The values are not `Other float32 named, but they are tagged. ;; 4.2.3. Named Types: tydef: "type" ident ["(" params ")"] = type params: typaram ("," typaram)* nametype: name ["(" typeargs ")"] typeargs: type ("," type)* Users can define new types based on other types. These named types may optionally have parameters, which make the type into a parameterized type. For example: type size = int64 would define a new type, distinct from int64, but inheriting the same traits. type list(@a) = struct next : list(@a)# val : @a ;; would define a parameterized type named `list`, which takes a single type parameter `@a`. When this type is used, it must be supplied a type argument, which will be substituted throughout the right hand side of the type definition. For example: var x : list(int) would specialize the above list type to an integer. All specializations with compatible types are compatible. 4.3. Generic types: typaram: "@" ident ["::" paramlist] paramlist: ident | "(" ident ("," ident)* ")" A nametype refers to a (potentially parameterized) named type, as defined in section 4.5. A typaram ("@ident") is a type parameter. It is introduced as either a parameter of a generic declaration, or as a type paramteter in a defined type. It can be constrained by any number of traits, as described in section 4.6. These types must be specialized to a concrete type in order to be used. @foo A type parameter named '@foo'. 4.4. Traits and Impls: 4.4.1. Traits: traitdef: "trait" ident traittypes "=" traitbody ";;" traittypes: typaram ["->" type ("," type)*] traitbody: (name ":" type)* Traits provide an interface that types implementing the trait must conform to. They are defined using the `trait` keyword, and implemented using the `impl` keyword. A trait is defined over a primary type, and may also define a number of auxiliary types that the implementation can make more specific. The body of the trait lists a number of declarations that must be implemented by the implementation of the trait. This body may be empty. For example: trait foo @a = ;; defines a trait named `foo`. This trait has an empty body. It applies over a type parameter named @a. The definition: trait foo @a -> @aux = ;; is similar, but also has a single auxiliary type. This type can be used to associate types with the primary type when the impl is specialized. For example: trait gettable @container -> @contained = const get : (c : @container -> @contained) ;; would define a trait that requires a get function which accepts a parameter of type `@container`, and returns a value of type `@contained`. 4.4.2. Impls: implstmt: "impl" ident imptypes "=" implbody traittypes: type ["->" type ("," type)*] traitbody: (name [":" type] "=" expr)* Impls take the interfaces provided by traits, and attach them to types, as well as providing the concrete implementation of these types. The declarations are inserted into the global namespace, and act identically to generics in. The declarations need not be functions. 4.5. Type Inference: 4.7.1. Overview: Myrddin uses a variant on the Hindley Milner type system. The largest divergence is the lack of implicit generalization when a type is unconstrained. In Myrddin, this unconstrained type results in a type checking failure. In the Myrddin type system, each leaf expression is assigned an appropriate type, or a placeholder indicated by `$n`. Then, expressions and declarations are walked over and unified, fixing and constraining the types, as well as recording delayed unifications where needed. Delayed unifications and default types are then applied, and the unit of the program is checked for underconstrained types. 4.7.2. Unification When an expression is applied, the types are unified according to the type of the operator, as specified in section 5.2. The type of the operator is freshened, replacing @t with $n. This produces the appropriate type variables. Then the left hand and right hand side of the of the expression are unified with this freshened type equation. 4.7.3. Delayed Unification In order to allow for the assignment of literals to defined types, when a union literal or integer literal has its type inferred, instead of immediately unifying it with a concrete type, a delayed unification is recorded. Because checking the validity of members is impossible when the base type is not known, member lookups are also inserted into the delayed unification list. After the initial unification pass is complete, the delayed unification list is walked, and any unifications on this list are applied. Because a delayed unification may complete members and permit additional auxiliary type lookups, this step may need to be repeated a number of times, although this is rare: Usually a single pass suffices. 5. VALUES AND EXPRESSIONS 5.1. Literal Values 5.1.1. Atomic Literals: literal: strlit | chrlit | intlit | boollit | voidlit | floatlit | funclit | seqlit | tuplit strlit: \"(byte|escape)*\" chrlit: \'(utf8seq|escape)\' char: <any byte value> boollit: "true"|"false" voidlit: "void" escape: <any escape sequence> intlit: "0x" digits | "0o" digits | "0b" digits | digits floatlit: digit+"."digit+["e" digit+] 5.1.1.1. String Literals: String literals represent a compact method of representing a byte array. Any byte values are allowed in a string literal, and will be spit out again by the compiler unmodified, with the exception of escape sequences. There are a number of escape sequences supported for both character and string literals: \n newline \r carriage return \t tab \b backspace \" double quote \' single quote \v vertical tab \\ single slash \0 nul character \xDD single byte value, where DD are two hex digits. \u{xxx} unicode escape, emitted as utf8. String literals begin with a ", and continue to the next unescaped ". eg: "foo\"bar" Multiple consecutive string literals are implicitly merged to create a single combined string literal. To allow a string literal to span across multiple lines, the new line characters must be escaped. eg: "foo" \ "bar" They have the type `byte[:]` 5.1.1.2. Character Literals: Character literals represent a single codepoint in the character set. A character starts with a single quote, contains a single codepoint worth of text, encoded either as an escape sequence or in the input character set for the compiler (generally UTF8). They share the same set of escape sequences as string literals. eg: 'א', '\n', '\u{1234}' They have the type `char`. 5.1.1.3. Integer Literals Integers literals are a sequence of digits, beginning with a digit and possibly separated by underscores. They may be prefixed with "0x" to indicate that the following number is a hexadecimal value, 0o to indicate an octal value, or 0b to indicate a binary value. Decimal values are not prefixed. eg: 0x123_fff, 0b1111, 0o777, 1234 They have the type `@a::(numeric,integral) 5.1.1.4: Boolean Literals: Boolean literals are spelled `true` or `false`. Unsurprisingly, they evaluate to `true` or `false` respectively. eg: true, false They have the type `bool` 5.1.1.4: Boolean Literals: Void literals are spelled `void`. They evaluate to the void value, a value that takes zero bytes storage, and contains only the value `void`. Like my soul. eg: void They have type `void`. 5.1.1.5: Floating point literals: Floating-point literals are also a sequence of digits beginning with a digit and possibly separated by underscores. Floating point literals are always in decimal. eg: 123.456, 10.0e7, 1_000. They have type `@a::(numeric,floating)` 5.1.2. Sequence and Tuple Literals: seqlit: "[" structelts | arrayelts "]" tuplit: "(" tuplelts ")" structelts: ("." ident "=" expr)+ arrayelts: (expr ":" expr | expr)* tupelts: expr ("," expr)* [","] Sequence literals are used to initialize either a structure or an array. They are '['-bracketed expressions, and are evaluated Tuple literals are similarly used to initialize a tuple. Struct literals describe a fully initialized struct value. A struct must have at least one member specified, in order to distinguish them from the empty array literal. All members which are designated with a `.name` expression are initialized to the expression passed. If an initializer is omitted, then the value is initialized to the zero value for that type. Sequence literals describe either an array or a structure literal. They begin with a '[', followed by an initializer sequence and closing ']'. For array literals, the initializer sequence is either an indexed initializer sequence[4], or an unindexed initializer sequence. For struct literals, the initializer sequence is always a named initializer sequence. An unindexed initializer sequence is simply a comma separated list of values. An indexed initializer sequence contains a '#number=value' comma separated sequence, which indicates the index of the array into which the value is inserted. A named initializer sequence contains a comma separated list of '.name=value' pairs. A tuple literal is a parentheses separated list of values. A single element tuple contains a trailing comma. Example: Struct literal. [.a = 42, .b="str"] Example: Array literal: [1,2,3], [2:3, 1:2, 0:1], [] Example: Tuple literals: (1,), (1,'b',"three") A tuple has the type of its constituent values grouped into a tuple: (@a, @b, @c, ..., @z) 5.1.3. Function Literals: funclit: "{" arglist "\n" blockbody "}" arglist: (ident [":" type])* Function literals describe a function. They begin with a '{', followed by a newline-terminated argument list, followed by a body and closing '}'. These may be specified at any place that an expression is specified, assigned to any variable, and are not distinguished from expressions in any significant way. Function literals may refer to variables outside of their scope. These are treated differently in a number of ways. Variables with global scope are used directly, by value. If a function is defined where stack variables are in scope, and it refers to them, then the stack variables shall be copied to an environment on thes stack. That environment is scoped to the lifetime of the stack frame in which it was defined. If it does not refer to any of its enclosing stack variables, then this environment will not be created or accessed by the function. This environment must be transferrable to the heap in an implementation specific manner. Example: Empty function literal: {;} Example: Function literal {a : int, b -> a + b } Example: Nested function with environment: const fn = {a var b = {; a + 1} } A function literal has the arity of its argument list, and shares their type if it is provided. Otherwise, they are left generic. The same applies to the return type. 5.1.4: Labels: label: ":" ident goto: "goto" ident Finally, while strictly not a literal, it's not a control flow construct either. Labels are identifiers preceded by colons. eg: :my_label They can be used as targets for gotos, as follows: goto my_label the ':' is not part of the label name. 5.2. Expressions: 5.2.1. Summary and Precedence: expr: expr <binop> expr | prefixexpr | postfixexpr postfixexpr: <prefixop> postfixexpr prefixexpr: atomicexpr <unaryop> Myrddin expressions should be fairly familiar to most programmers. Expressions are represented by a precedence sorted heirarchy of binary operators. These operators operate on prefix expressions, which in turn operate on postfix expressions. And postfix expressions operate on parenthesized expressions, literals, or values. For integers, all operations are done in complement twos arithmetic, with the same bit width as the type being operated on. For floating point values, the operation is according to the IEE754 rules. The operators are listed below in order of precedence, and a short summary of what they do is listed given. For the sake of clarity, 'x' will stand in for any expression composed entirely of subexpressions with higher precedence than the current current operator. 'e' will stand in for any expression. Assignment is right associative. All other expressions are left associative. Arguments are evaluated in the order of associativity. That is, if an operator is left associative, then the left hand side of the operator will be evaluated before the right side. If the operator is right associative, the opposite is true. The specific semantics are covered in later parts of section 5.2. Precedence 13: x Atomic expression literal Atomic expression (expr) Atomic expression Precedence 12: x.name Member lookup x++ Postincrement x-- Postdecrement x# Dereference x[e] Index x[lo:hi] Slice x(arg,list) Call Precedence 11: &x Address !x Logical negation ~x Bitwise negation +x Positive (no operation) -x Negate x Precedence 10: x << y Shift left x >> y Shift right Precedence 9: x * y Multiply x / y Divide x % y Modulo Precedence 8: x + y Add x - y Subtract Precedence 7: x & y Bitwise and Precedence 6: x | y Bitwise or x ^ y Bitwise xor Precedence 5: `Name x Union construction Precedence 4: x == x Equality x != x Inequality x > x Greater than x >= x Greater than or equal to x < x Less than x <= x Less than or equal to Precedence 3: x && y Logical and Precedence 2: x || y Logical or Precedence 1: Assignment Operators x = y Assign Right assoc x += y Fused add/assign Right assoc x -= y Fused sub/assign Right assoc x *= y Fused mul/assign Right assoc x /= y Fused div/assign Right assoc x %= y Fused mod/assign Right assoc x |= y Fused or/assign Right assoc x ^= y Fused xor/assign Right assoc x &= y Fused and/assign Right assoc x <<= y Fused shl/assign Right assoc x >>= y Fused shr/assign Right assoc Precedence 0: -> x Return expression 5.2.2. Lvalues and Rvalues: Expressions can largely be grouped into two categories: lvaues and rvalues. Lvalues are expressions that may appear on the left hand side of an assignment. Rvalues are expressions that may appear on the right hand side of an assignment. All lvalues are also rvalues. Lvalues consist of the following expressions: - Variables. - Gaps. - Index Expressions - Pointer Dereferences - Member lookups. - Tuple constructors Assigning to an lvalue stores the value on the rhs of the expression into the location designated by the lhs, with the exception of gaps and tuple constructors. Assigning into a gap lvalue discards it. When assigning to a tuple constructor, the rhs of the expression is broken up elementwise and stored into each lvalue of the tuple constructor element by element. For example: (a, b#, _) = tuplefunc() will store the first element of the tuple returned by tuplefunc into a, the second into b#, and the third into the gap. 5.2.3. Atomic Expressions: atomicexpr: ident | gap | literal | "(" expr ")" | "sizeof" "(" type ")" | castexpr castexpr: "(" expr ":" type ")" gap: "_" Atomic expressions are the building blocks of expressions, and are either parenthesized expressions or directly represent literals. Literals are covered in depth in section 4.2. An identifier specifies a variable, and are looked up via the scoping rules specified in section 4.9. Gap expressions (`_`) represent an anonymous sink value. Anything can be assigned to a gap, and it may be used in pattern matching. It is equivalent to creating a new temporary that is never read from whenever it is used. For example: _ = 123 is equivalent to: var anon666 = 123 In match contexts, it is equivalent to a fresh variable in the match, again, given that it is never read from in the body of the match. An represents a location in the machine that can be stored to persistently and manipulated by the programmer. An obvious example of this would be a variable name, although 5.2.4. Cast Expressions: Cast expressions convert a value from one type to another. Casting proceeds according to the following rules: SType DType Action ------------------------------------------------------------- int/int Conversions ------------------------------------------------------------- intN intK If n < k, sign extend the source type, filling the top bits with the sign bit of the source until it is the same width as the destination type. if n > k, truncate the top bits of the source to the width of the destination type. uintN uintK If n < k, zero extend the source type, filling the top bits with zero until it is the same width as the destination type. If n > k, truncate the top bits of the source to the width of the destination type. ------------------------------------------------------------- int/float conversions ------------------------------------------------------------- intN fltN The closest representable integer value to the source should be stored in the destination. uintN fltN The closest representable integer value to the source should be stored in the destination. fltN intN The closest representable integer value to the source should be stored in the destination. fltN uintN The closest representable integer value to the source should be stored in the destination. ------------------------------------------------------------- int/pointer conversions ------------------------------------------------------------- intN T# Extend the source value to the width of a pointer in bits in an implementation defined manner. uintN T# Extend the source value to the width of a pointer in bits in an implementation defined manner. T# intN Convert the address of the pointer to an integer in an implementation specified manner. There should exist at least one integer type for which this conversion will round trip. T# uintN Convert the address of the pointer to an integer in an implementation specified manner. There should exist at least one integer type for which this conversion will round trip. ------------------------------------------------------------- pointer/pointer conversions ------------------------------------------------------------- T# U# If the destination type has compatible alignment and other storage requirements, the pointer should be converted losslessly and in a round-tripping manner to point to a U. If it does not have compatible requirements, the conversion is not required to round trip safely, but should still produce a valid pointer. ------------------------------------------------------------- pointer/slice conversions ------------------------------------------------------------- T[:] T# Returns a pointer to t[0] ------------------------------------------------------------- pointer/function conversions ------------------------------------------------------------- (args->ret) T# Returns a pointer to an implementation specific value representing the executable code for the function. ------------------------------------------------------------- arbitrary type conversions ------------------------------------------------------------- T U Returns a T as a U. T must be transitively defined in terms of U, or U in terms of T for this cast to be valid. 5.2.5. Assignments: lval = rval, lval <op>= rval The assignment operators, group from right to left. These are the only operators that have right associativity. All of them require the left operand to be an lvalue. The value of the right hand side of the expression is stored on the left hand side after this statement has executed. The fused assignment operators are equivalent to applying the arithmetic or bitwise operator to the lhs and rhs of the expression before storing into the lhs. Type: ( e1 : @a <op>= e2 : @a ) : @a 5.2.6. Logical Or: e1 || e2 The `||` operator returns true if the left hand side evaluates to true. Otherwise it returns the result of evaluating the lhs. It is guaranteed if the rhs is true, the lhs will not be evaluated. Types: ( e1 : bool || e2 : bool ) : bool 5.2.7. Logical And: expr && expr The `&&` operator returns false if the left hand side evaluates to false. Otherwise it returns the result of evaluating the lhs. It is guaranteed if the rhs is true, the lhs will not be evaluated. The left hand side and right hand side of the expression must be of the same type. The whole expression evaluates to the type of the lhs. Type: ( e1 : bool && e2 : bool ) : bool 5.2.8: Logical Negation: !expr Takes the boolean expression `expr` and inverts its truth value, evaluating to `true` when `expr` is false, and `false` when `expr` is true. Type: !(expr : bool) : bool 5.2.9. Equality Comparisons: expr == expr, expr != expr The equality operators do a shallow identity comparison between types. The `==` operator yields true if the values compare equal, or false if they compare unequal. The `!=` operator evaluates to the inverse of this. Type: ( e1 : @a == e2 : @a ) : bool ( e1 : @a != e2 : @a ) : bool 5.2.10. Relational Comparisons: expr > expr, expr >= expr, expr < expr, expr <= expr The relational operators (>, >=, <, <=) compare two values numerically. The `>` operator evaluates to true if its left operand is greater than the right operand. The >= operand returns true if the left operand is greater than or equal to the right operand. The `<` and `<=` operators are similar, but compare for less than. Type: ( e1 : @a OP e2 : @a ) : bool where @a :: numeric 5.2.11. Union Constructors: `Name expr: The union constructor operator takes the value in `expr` and wraps it in a union. The type of the expression and the argument of the union tag must match. The result of this expression is subject to delayed unification, with a default value being the type of the union the tag belongs to. Type: Delayed unification with the type of the union tag. 5.2.12. Bitwise: expr | expr, expr ^ expr, expr & expr These operators (|, ^, &) compute the bitwise or, xor, and and of their operands respectively. The arguments must be integers. Type: (e1 : @a OP e2:@a) : @a where @a :: integral 5.2.13. Addition: expr + expr, expr - expr: These operators (+, -) add and subtract their operands. For integers, all operations are done in complement twos arithmetic, with the same bit width as the type being operated on. For floating point values, the operation is according to the IEE754 rules. Type: ( e1 : @a OP e2 : @a ) : bool where @a :: numeric 5.2.14. Multiplication and Division expr * expr, expr / expr These operators (+, -) multiply and divide their operands, according to the usual arithmetic rules. Type: ( e1 : @a OP e2 : @a ) : bool where @a :: numeric 5.2.15. Modulo: expr % expr The modulo operator computes the remainder of the left operand when divided by the right operand. Type: ( e1 : @a OP e2 : @a ) : bool where @a :: (numeric,integral) 5.2.16. Shift: expr >> expr, expr << expr The shift operators (>>, <<) perform right or left shift on their operands respectively. If an operand is signed, a right shift will shifts sign extend its operand. If it is unsigned, it will fill the top bits with zeros. Shifting by more bits than the size of the type is implementation defined. Type: (e1 : @a OP e2:@a) : @a where @a :: integral 5.2.17: Postincrement, Postdecrement: expr++, expr-- These expressions evaluate to `expr`, and produce a decrement after the expression is fully evaluated. Multiple increments and decrements within the same expression are aggregated and applied together. For example: y = x++ + x++ is equivalent to: y = x + x x += 2 The operand must be integral. Type: (e1++ : @a) : @a (e1-- : @a) : @a where @a :: integral 5.2.18: Address: &expr The `&` operator computes the address of the object referred to by `expr`. `expr` must be an lvalue. Type: &(expr : @a) : @a# 5.2.19: Dereference: expr# The `#` operator refers to the value at the pointer `expr`. This is an lvalue, and may be stored to. The pointer being dereferenced may have at some point come from a cast expression. It may also be constructed by arbitrary code via integer manipulations and system specific memory allocation. If this happens, there are two cases. If the pointed-to type of the accessing pointer is larger than the declaration type of the object, the behavior is undefined. Similarly, if the pointer value has an incompatible alignment at runtime, the behavior is undefined. Otherwise, the value read back through the pointer is implementation specific. These system specific values may include trap representations. Type: (expr : @a#)# : @a 5.2.20: Sign Operators: -expr, +expr The `-` operator computes the complement two negation of the value `expr`. It may be applied to unsigned values. The `+` operator only exists for symmetry, and is a no-op. Type: OP(expr : @a) : @a 5.2.21: Member Lookup: expr.name Member lookup operates on two classes of types: User defined struct and sequences. For user defined structs, the type of `expr` must be a structure containing the member `name`. The result of the expression is an lvalue of the type of that member. For sequences such as slices or arrays, there is exactly one member that may be accessed, `len`. The value returned is the count of elements in the sequence. Type: (expr : <aggregate>).name : @a (expr : <seq>).len : @idx where @idx :: (integral,numeric) 5.2.22: Index: expr[idx] The indexing operator operates on slices and arrays. The `idx`th value in the sequence is referred to. This expression produces an lvalue. If `idx` is larger than `expr.len`, then the program must terminate. Type: (expr : @a[N])[(idx : @idx)] : @a (expr : @a[:])[(idx : @idx)] : @a where @idx :: (integral,numeric) 5.2.23: Slice: expr[lo:hi], expr[:hi], expr[lo:], expr[:] The slice expression produces a sub-slice of the sequence or pointer expression being sliced. The elements contained in this slice are expr[lo]..expr[hi-1]. If the lower bound is omitted, then it is implicitly zero. If the upper bound is ommitted, then it is implicitly `expr.len`. Type: (expr : @a[N])[(lo : @lo) : (hi : @hi)] : @a[:] (expr : @a[:])[(lo : @lo) : (hi : @hi)] : @a[:] (expr : @#)[(lo : @lo) : (hi : @hi)] : @a[:] where @lo :: (integral,numeric) and @hi :: (integral,numeric) 5.2.24: Call: expr() expr(arg1, arg2) expr(arg1, arg2, ...) A function call expression takes an expression of type (arg, list -> ret), and applies the arguments to it, producing a value of type `ret`. The argument types and arity must must match, unless the final argument is of type `...`. If the final type is `...`, then the `...` consumes as many arguments as are provided, and passes both them and an implementation defined description of their types to the function. Type: (expr : @fn)(e1 : @a, e2 : @b) : @ret where @fn is a function of type (@a, @b -> @ret) or @fn is a function of type (@a, ... -> ret) adjusted appropriately for arity. 6. CONTROL FLOW The control statements in Myrddin are similar to those in many other popular languages, and with the exception of 'match', there should be no surprises to a user of any of the Algol derived languages. 6.1. Blocks: block: blockbody ";;" blockbody: (decl | stmt | tydef | "\n")* stmt: goto | break | continue | retexpr | label | ifstmt | forstmt | whilestmt | matchstmt Blocks are the basic building block of functionality in Myrddin. They are simply sequences of statements that are completed one after the other. They are generally terminated by a double semicolon (";;"), although they may be terminated by keywords if they are part of a more complex control flow construct. Any declarations within the block are scoped to within the block, and are not accessible outside of it. Their storage duration is limited to within the block, and any attempts to access the associated storage (via pointer, for example) is not valid. 6.2. Conditionals ifstmt: "if" cond "\n" blockbody ("elif" blockbody)* ["else" blockbody] ";;" If statements branch one way or the other depending on the truth value of their argument. The truth statement is separated from the block body if true std.put("The program always get here") elif elephant != mouse std.put("...eh.") else std.put("The program never gets here") ;; 6.3. Matches matchstmt: "match" expr "\n" matchpat* ";;" matchpat: "|" pat ":" blockbody pat: expr Match statements perform deep pattern matching on values. They take as an argument a value of type 't', and match it against a list of other values of the same type. The patterns matched against may free variables, which will be bound to the sub-value matched against. The patterns are checked in order, and the first matching pattern has its body executed, after which no other patterns will be matched. This implies that if you have specific patterns mixed with by more general ones, the specific patterns must come first. All potential cases must be covered exhaustively. Non-exhaustive matches are a compilation error. Match patterns can be one of the following: - Wildcard patterns - Gap patterns - Atomic literal patterns - String patterns - Union patterns - Tuple patterns - Struct patterns - Array patterns - Constant patterns - Pointer chasing patterns 6.3.1. Wildcards and Gaps: Wildcard patterns an identifier that is not currently in scope. This variable name captures the variable. That is, in the body of the match, there will be a variable in scope with the same name as the identifier, and it will contain a copy of the value that is being matched against. A wildcard pattern always matches successfully. Gap patterns are identical to wildcard patterns, but they do not capture a copy of the value being matched against. 6.3.2. Literal and Constant Patterns: Most pattern matches types are literal patterns. These are simply written out as a literal value of the type that is being matched against. Atomic literal patterns match on a literal value. The pattern is compared to the value using semantics equivalent to the `==` operator. If the `==` operator would return true, the match is successful. String patterns match a byte sequence. The pattern is compared to the value by first comparing the lengths. Then, each byte in the string is compared, in turn, to the byte of the pattern. If the length and all characters are equal, the pattern succeeds. Union patterns compare the union tag of the pattern wtih the union tag on the value. If there is a union body associated with the tag, then the pattern must also have a body. This is recursively matched on. If the tag and the body (if present) both match, this match is considered successful. Tuple patterns proceed to recursively check each tuple element for a match. If all elements match, this is a successful match. Struct patterns recursively check each named member that is provided. Not all named members are mandatory. If a named member is omitted, then it is equivalent to matching it against a gap pattern. If all elements match, then this is a successful match. Array pattenrs recursively check each member of the array that is provided. The array length must be part of the match. If all array elements match, then this is a successful match. Constant patterns use a compile time constant that is in scope for the pattern. The semantics are the same any of the literal patterns listed above. 6.3.3. Pointer Chasing Patterns: Pointer chasing patterns allow matching on pointer-to-values. They are written with the `&` operator, as though you were taking the address of the pattern being matched against. This pattern is matched by dereferencing the value being matched, and recursively matching the value against the pattern being addressed. The pointer provided to a pointer chasing match must be a valid pointer. Providing an invalid pointer leads to undefined behavior. 6.4.4. Examples: 6.4.4.1. Wildcard: var e = 123 match expr | x: std.put("x = {}\n", x) ;; 6.4.4.2. Atomic Literal: var e = 123 match expr | 666: std.put("wrong branch\n") | 123: std.put("correct match\n") | _: std.put("default branch\n") ;; 6.4.4.3. Tuple Literal: var e = (123, 999) match expr | (123, 666): std.put("wrong branch\n") | (123, 999): std.put("right branch\n") | _: std.put("default branch\n") ;; 6.4.4.3. Union Literal: var e = `std.Some 123 match expr | `std.Some 888: std.put("wrong branch\n") | `std.Some 123: std.put("right branch\n") | `std.Some x: std.put("other wrong branch\n") | `std.None: std.put("other wrong branch\n") ;; 6.4.4.4 Struct Literal: type s = struct x : int ;; var e : s = [.x=999] match expr | [.x=123]: td.put("wtf, x=123\n") | [.x=x]: std.put("x={}\n", x) ;; 6.4.4.5 Pointer Chasing: type s = struct x : int# ;; var p = 123 var e : s = [.x=&p] match expr | [.x=&123]: td.put("good, x=123\n") | [.x=&x]: std.put("wtf, x={}\n", x) ;; 6.4. Looping forstmt: foriter | foreach foreach: "for" pattern "in" expr "\n" block foriter: "for" init "\n" cond "\n" step "\n" block whilestmt: "while" cond "\n" block For statements come in two forms. There are the C style for loops which begin with an initializer, followed by a test condition, followed by an increment action. For statements run the initializer once before the loop is run, the test each on each iteration through the loop before the body, and the increment on each iteration after the body. If the loop is broken out of early (for example, by a goto), the final increment will not be run. The syntax is as follows: for init; test; increment blockbody() ;; The second form is the collection iteration form. This form allows for iterating over a collection of values contained within something which is iterable. Currently, only the built in sequences -- arrays and slices -- can be iterated, however, there is work going towards allowing user defined iterables. for pat in expr blockbody() ;; The pattern applied in the for loop is a full match statement style pattern match, and will filter any elements in the iteration expression which do not match the value. While loops are equivalent to for loops with empty initializers and increments. They run the test on every iteration of the loop, and exit only if it returns false. 6.5. Goto label: ":" ident goto: goto ident 6. GRAMMAR: BUGS: