Edit detail for InputForm revision 2 of 4

Domain of parsed forms which can be passed to the interpreter. This is also the interface between algebra code and facilities in the interpreter.

(1) -> )show InputForm

 InputForm is a domain constructor.
 Abbreviation for InputForm is INFORM 
 This constructor is not exposed in this frame.
 41 names for 50 operations in this domain.
------------------------------- Operations --------------------------------

 0 : () -> %                           1 : () -> %
 #? : % -> Integer                     ?*? : (%, %) -> %
 ?+? : (%, %) -> %                     ?/? : (%, %) -> %
 ?=? : (%, %) -> Boolean               ?^? : (%, Integer) -> %
 atom? : % -> Boolean                  binary : (%, List(%)) -> %
 car : % -> %                          cdr : % -> %
 coerce : % -> OutputForm              convert : % -> %
 convert : DoubleFloat -> %            convert : Integer -> %
 convert : List(%) -> %                convert : SExpression -> %
 convert : String -> %                 convert : Symbol -> %
 convert : % -> SExpression            declare : List(%) -> Symbol
 destruct : % -> List(%)               elt : (%, Integer) -> %
 elt : (%, List(Integer)) -> %         eq : (%, %) -> Boolean
 flatten : % -> %                      float : % -> DoubleFloat
 float? : % -> Boolean                 hash : % -> SingleInteger
 integer : % -> Integer                integer? : % -> Boolean
 interpret : % -> Any                  interpret_in_new_env : % -> Any
 lambda : (%, List(Symbol)) -> %       latex : % -> String
 list? : % -> Boolean                  null? : % -> Boolean
 pair? : % -> Boolean                  parse : String -> %
 string : % -> String                  string? : % -> Boolean
 symbol : % -> Symbol                  symbol? : % -> Boolean
 unparse : % -> String                 ?~=? : (%, %) -> Boolean
 ?^? : (%, NonNegativeInteger) -> %
 compile : (Symbol, List(%)) -> Symbol
 function : (%, List(Symbol), Symbol) -> %
 hashUpdate! : (HashState, %) -> HashState

Add a new export for parse.

)abbrev domain INFORM InputForm
++ Parser forms
++ Author: Manuel Bronstein
++ Date Created: ???
++ Date Last Updated: 19 April 1991
++ Description:
++   Domain of parsed forms which can be passed to the interpreter.
++   This is also the interface between algebra code and facilities
++   in the interpreter.

--)boot $noSubsumption := true

InputForm():
  Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm),
       ConvertibleTo SExpression) with
    interpret: % -> Any
      ++ interpret(f) passes f to the interpreter.
    convert  : SExpression -> %
      ++ convert(s) makes s into an input form.
    binary   : (%, List %) -> %
      ++ \spad{binary(op, [a1,...,an])} returns the input form
      ++ corresponding to  \spad{a1 op a2 op ... op an}.
    function : (%, List Symbol, Symbol) -> %
      ++ \spad{function(code, [x1,...,xn], f)} returns the input form
      ++ corresponding to \spad{f(x1,...,xn) == code}.
    lambda   : (%, List Symbol) -> %
      ++ \spad{lambda(code, [x1,...,xn])} returns the input form
      ++ corresponding to \spad{(x1,...,xn) +-> code} if \spad{n > 1},
      ++ or to \spad{x1 +-> code} if \spad{n = 1}.
    "+"      : (%, %) -> %
      ++ \spad{a + b} returns the input form corresponding to \spad{a + b}.
    "*"      : (%, %) -> %
      ++ \spad{a * b} returns the input form corresponding to \spad{a * b}.
    "/"      : (%, %) -> %
      ++ \spad{a / b} returns the input form corresponding to \spad{a / b}.
    "**"     : (%, NonNegativeInteger) -> %
      ++ \spad{a ** b} returns the input form corresponding to \spad{a ** b}.
    "**"     : (%, Integer) -> %
      ++ \spad{a ** b} returns the input form corresponding to \spad{a ** b}.
    0        : constant -> %
      ++ \spad{0} returns the input form corresponding to 0.
    1        : constant -> %
      ++ \spad{1} returns the input form corresponding to 1.
    flatten  : % -> %
      ++ flatten(s) returns an input form corresponding to s with
      ++ all the nested operations flattened to triples using new
      ++ local variables.
      ++ If s is a piece of code, this speeds up
      ++ the compilation tremendously later on.
    unparse  : % -> String
      ++ unparse(f) returns a string s such that the parser
      ++ would transform s to f.
      ++ Error: if f is not the parsed form of a string.
    parse    : String -> %
      ++ parse(s) is the inverse of unparse. It parses a
      ++ string to InputForm
    declare  : List %   -> Symbol
      ++ declare(t) returns a name f such that f has been
      ++ declared to the interpreter to be of type t, but has
      ++ not been assigned a value yet.
      ++ Note: t should be created as \spad{devaluate(T)$Lisp} where T is the
      ++ actual type of f (this hack is required for the case where
      ++ T is a mapping type).
    compile  : (Symbol, List %) -> Symbol
      ++ \spad{compile(f, [t1,...,tn])} forces the interpreter to compile
      ++ the function f with signature \spad{(t1,...,tn) -> ?}.
      ++ returns the symbol f if successful.
      ++ Error: if f was not defined beforehand in the interpreter,
      ++ or if the ti's are not valid types, or if the compiler fails.
 == SExpression add
    Rep := SExpression

    mkProperOp: Symbol -> %
    strsym    : % -> String
    tuplify   : List Symbol -> %
    flatten0  : (%, Symbol, NonNegativeInteger) ->
                                             Record(lst: List %, symb:%)

    0                        == convert(0::Integer)
    1                        == convert(1::Integer)
    convert(x:%):SExpression == x pretend SExpression
    convert(x:SExpression):% == x

    conv(ll : List %): % ==
      convert(ll pretend List SExpression)$SExpression pretend %

    lambda(f,l) == conv([convert("+->"::Symbol),tuplify l,f]$List(%))

    interpret x ==
      v := interpret(x)$Lisp
      mkObj(unwrap(objVal(v)$Lisp)$Lisp, objMode(v)$Lisp)$Lisp

    convert(x:DoubleFloat):% ==
      zero? x => 0
--      one? x => 1
      (x = 1) => 1
      convert(x)$Rep

    flatten s ==
      -- will not compile if I use 'or'
      atom? s => s
      every?(atom?,destruct s)$List(%) => s
      sy := new()$Symbol
      n:NonNegativeInteger := 0
      l2 := [flatten0(x, sy, n := n + 1) for x in rest(l := destruct s)]
      conv(concat(convert("SEQ"::Symbol)@%,
        concat(concat [u.lst for u in l2], conv(
           [convert("exit"::Symbol)@%, 1$%, conv(concat(first l,
               [u.symb for u in l2]))@%]$List(%))@%)))@%

    flatten0(s, sy, n) ==
      atom? s => [nil(), s]
      a := convert(concat(string sy, convert(n)@String)::Symbol)@%
      l2 := [flatten0(x, sy, n := n+1) for x in rest(l := destruct s)]
      [concat(concat [u.lst for u in l2], conv([convert(
        "LET"::Symbol)@%, a, conv(concat(first l,
             [u.symb for u in l2]))@%]$List(%))@%), a]

    strsym s ==
      string? s => string s
      symbol? s => string symbol s
      error "strsym: form is neither a string or symbol"

    unparse x ==
      atom?(s:% := form2String(x)$Lisp) => strsym s
      concat [strsym a for a in destruct s]

    parse(s:String):% ==
      ncParseFromString(s)$Lisp

    declare signature ==
      declare(name := new()$Symbol, signature)$Lisp
      name

    compile(name, types) ==
      symbol car cdr car
        selectLocalMms(mkProperOp name, convert(name)@%,
          types, nil$List(%))$Lisp

    mkProperOp name ==
      op := mkAtree(nme := convert(name)@%)$Lisp
      transferPropsToNode(nme, op)$Lisp
      convert op

    binary(op, args) ==
      (n := #args) < 2 => error "Need at least 2 arguments"
      n = 2 => convert([op, first args, last args]$List(%))
      convert([op, first args, binary(op, rest args)]$List(%))

    tuplify l ==
      empty? rest l => convert first l
      conv
        concat(convert("Tuple"::Symbol), [convert x for x in l]$List(%))

    function(f, l, name) ==
      nn := convert(new(1 + #l, convert(nil()$List(%)))$List(%))@%
      conv([convert("DEF"::Symbol), conv(cons(convert(name)@%,
                        [convert(x)@% for x in l])), nn, nn, f]$List(%))

    s1 + s2 ==
      s1 = 0 => s2
      s2 = 0 => s1
      conv [convert("+"::Symbol), s1, s2]$List(%)

    s1 * s2 ==
      s1 = 0 or s2 = 0 => 0
      s1 = 1 => s2
      s2 = 1 => s1
      conv [convert("*"::Symbol), s1, s2]$List(%)

    s1:% ** n:Integer ==
      s1 = 0 and n > 0 => 0
      s1 = 1 or zero? n => 1
--      one? n => s1
      (n = 1) => s1
      conv [convert("**"::Symbol), s1, convert n]$List(%)

    s1:% ** n:NonNegativeInteger == s1 ** (n::Integer)

    s1 / s2 ==
      s2 = 1 => s1
      conv [convert("/"::Symbol), s1, s2]$List(%)

   Compiling FriCAS source code from file 
      /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/6679376400046902071-25px002.spad
      using old system compiler.
   INFORM abbreviates domain InputForm 
------------------------------------------------------------------------
   initializing NRLIB INFORM for InputForm 
   compiling into NRLIB INFORM 

   >> System error:
   invalid number of arguments: 5

Test

parse("sin x + 1")

   There are no exposed library operations named parse but there is one
      unexposed operation with that name. Use HyperDoc Browse or issue
                              )display op parse
      to learn more about the available operation.

   Cannot find a definition or applicable library operation named parse
      with argument type(s) 
                                   String

      Perhaps you should use "@" to indicate the required return type, 
      or "$" to specify which version of the function you need.