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Scala example source code file (Implicits.scala)

This example Scala source code file (Implicits.scala) is included in the DevDaily.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Java - Scala tags/keywords

boolean, boolean, implicitinfo, list, list, none, searchfailure, searchresult, searchresult, some, string, symbol, type, type

The Scala Implicits.scala source code

/* NSC -- new Scala compiler
 * Copyright 2005-2011 LAMP/EPFL
 * @author  Martin Odersky
 */

//todo: rewrite or disllow new T where T is a mixin (currently: <init> not a member of T)
//todo: use inherited type info also for vars and values
//todo: disallow C#D in superclass
//todo: treat :::= correctly

package scala.tools.nsc
package typechecker

import annotation.tailrec
import scala.collection.{ mutable, immutable }
import mutable.{ HashMap, LinkedHashMap, ListBuffer }
import scala.util.matching.Regex
import symtab.Flags._
import util.Statistics._

/** This trait provides methods to find various kinds of implicits.
 *
 *  @author  Martin Odersky
 *  @version 1.0
 */
trait Implicits {
  self: Analyzer =>

  import global._
  import definitions._
  import typeDebug.{ ptTree, ptBlock, ptLine }
  import global.typer.{ printTyping, deindentTyping, indentTyping, printInference }

  /** Search for an implicit value. See the comment on `result` at the end of class `ImplicitSearch`
   *  for more info how the search is conducted. 
   *  @param tree             The tree for which the implicit needs to be inserted.
   *                          (the inference might instantiate some of the undetermined
   *                          type parameters of that tree.
   *  @param pt               The expected type of the implicit.
   *  @param reportAmbiguous  Should ambiguous implicit errors be reported?
   *                          False iff we search for a view to find out
   *                          whether one type is coercible to another.
   *  @param isView           We are looking for a view
   *  @param context          The current context
   *  @return                 A search result
   */
  def inferImplicit(tree: Tree, pt: Type, reportAmbiguous: Boolean, isView: Boolean, context: Context): SearchResult = {
    printInference("[inferImplicit%s] pt = %s".format(
      if (isView) " view" else "", pt)
    )
    printTyping(
      ptBlock("infer implicit" + (if (isView) " view" else ""),
        "tree"        -> tree,
        "pt"          -> pt,
        "undetparams" -> context.outer.undetparams
      )
    )
    indentTyping()

    val rawTypeStart    = startCounter(rawTypeImpl)
    val findMemberStart = startCounter(findMemberImpl)
    val subtypeStart    = startCounter(subtypeImpl)
    val start = startTimer(implicitNanos)
    if (printInfers && !tree.isEmpty && !context.undetparams.isEmpty)
      printTyping("typing implicit: %s %s".format(tree, context.undetparamsString))

    val result = new ImplicitSearch(tree, pt, isView, context.makeImplicit(reportAmbiguous)).bestImplicit
    printInference("[inferImplicit] result: " + result)
    context.undetparams = context.undetparams filterNot result.subst.fromContains

    stopTimer(implicitNanos, start)
    stopCounter(rawTypeImpl, rawTypeStart)
    stopCounter(findMemberImpl, findMemberStart)
    stopCounter(subtypeImpl, subtypeStart)
    deindentTyping()
    printTyping("Implicit search yielded: "+ result)
    result
  }

  private final val sizeLimit = 50000
  private type Infos = List[ImplicitInfo]
  private type Infoss = List[List[ImplicitInfo]]
  private type InfoMap = LinkedHashMap[Symbol, List[ImplicitInfo]] // A map from class symbols to their associated implicits
  private val implicitsCache = new LinkedHashMap[Type, Infoss]
  private val infoMapCache = new LinkedHashMap[Symbol, InfoMap]
  private val improvesCache = new HashMap[(ImplicitInfo, ImplicitInfo), Boolean]
  
  def resetImplicits() { 
    implicitsCache.clear()
    infoMapCache.clear() 
    improvesCache.clear()
  }
  
  private val ManifestSymbols = Set(PartialManifestClass, FullManifestClass, OptManifestClass)

  /** The result of an implicit search
   *  @param  tree    The tree representing the implicit
   *  @param  subst   A substituter that represents the undetermined type parameters
   *                  that were instantiated by the winning implicit.
   */
  class SearchResult(val tree: Tree, val subst: TreeTypeSubstituter) {
    override def toString = "SearchResult(%s, %s)".format(tree,
      if (subst.isEmpty) "" else subst)
  }

  lazy val SearchFailure = new SearchResult(EmptyTree, EmptyTreeTypeSubstituter)

  /** A class that records an available implicit
   *  @param   name   The name of the implicit
   *  @param   pre    The prefix type of the implicit
   *  @param   sym    The symbol of the implicit
   */
  class ImplicitInfo(val name: Name, val pre: Type, val sym: Symbol) {
    private var tpeCache: Type = null

    /** Computes member type of implicit from prefix `pre` (cached). */
    def tpe: Type = {
      if (tpeCache eq null) tpeCache = pre.memberType(sym)
      tpeCache
    }

    var useCountArg: Int = 0
    var useCountView: Int = 0

    /** Does type `tp` contain an Error type as parameter or result?
     */
    private def containsError(tp: Type): Boolean = tp match {
      case PolyType(tparams, restpe) => 
        containsError(restpe)
      case NullaryMethodType(restpe) => 
        containsError(restpe)
      case MethodType(params, restpe) => 
        params.exists(_.tpe.isError) || containsError(restpe)
      case _ => 
        tp.isError
    }

    def isCyclicOrErroneous =
      try containsError(tpe)
      catch { case _: CyclicReference => true }

    override def equals(other: Any) = other match {
      case that: ImplicitInfo => 
          this.name == that.name &&
          this.pre =:= that.pre &&
          this.sym == that.sym
      case _ => false
    }
    override def hashCode = name.## + pre.## + sym.##
    override def toString = name + ": " + tpe
  }

  /** A sentinel indicating no implicit was found */
  val NoImplicitInfo = new ImplicitInfo(null, NoType, NoSymbol) {
    // equals used to be implemented in ImplicitInfo with an `if(this eq NoImplicitInfo)` 
    // overriding the equals here seems cleaner and benchmarks show no difference in performance 
    override def equals(other: Any) = other match { case that: AnyRef => that eq this  case _ => false }
    override def hashCode = 1
  }

  /** A constructor for types ?{ name: tp }, used in infer view to member
   *  searches.
   */
  def memberWildcardType(name: Name, tp: Type) = {
    val result = refinedType(List(WildcardType), NoSymbol)
    var psym = name match {
      case x: TypeName  => result.typeSymbol.newAbstractType(NoPosition, x)
      case x: TermName  => result.typeSymbol.newValue(NoPosition, x)
    }
    psym setInfo tp
    result.decls enter psym
    result
  }

  /** An extractor for types of the form ? { name: ? }
   */
  object HasMember {
    private val hasMemberCache = new mutable.HashMap[Name, Type]
    def apply(name: Name): Type = hasMemberCache.getOrElseUpdate(name, memberWildcardType(name, WildcardType))
    def unapply(pt: Type): Option[Name] = pt match {
      case RefinedType(List(WildcardType), decls) =>
        decls.toList match {
          case List(sym) if sym.tpe == WildcardType => Some(sym.name)
          case _ => None
        }
      case _ =>
        None
    }
  }

  /** An extractor for types of the form ? { name: (? >: argtpe <: Any*)restp }
   */
  object HasMethodMatching {
    def apply(name: Name, argtpes: List[Type], restpe: Type): Type = {
      def templateArgType(argtpe: Type) =
        new BoundedWildcardType(TypeBounds(argtpe, AnyClass.tpe))
      val dummyMethod = new TermSymbol(NoSymbol, NoPosition, "typer$dummy")
      val mtpe = MethodType(dummyMethod.newSyntheticValueParams(argtpes map templateArgType), restpe)
      memberWildcardType(name, mtpe)
    }
    def unapply(pt: Type): Option[(Name, List[Type], Type)] = pt match {    
      case RefinedType(List(WildcardType), decls) =>
        decls.toList match {
          case List(sym) =>
            sym.tpe match {
              case MethodType(params, restpe) 
              if (params forall (_.tpe.isInstanceOf[BoundedWildcardType])) => 
                Some((sym.name, params map (_.tpe.bounds.lo), restpe))
              case _ => None
            }
          case _ => None
        }
      case _ => None
    }
  }

  /** An extractor for unary function types arg => res
   */
  object Function1 {
    val Sym = FunctionClass(1)
    def unapply(tp: Type) = tp match {
      case TypeRef(_, Sym, arg1 :: arg2 :: _) => Some(arg1, arg2)
      case _                                  => None
    }
  }

  /** A class that sets up an implicit search. For more info, see comments for `inferImplicit`.
   *  @param tree             The tree for which the implicit needs to be inserted.
   *  @param pt               The original expected type of the implicit.
   *  @param isView           We are looking for a view
   *  @param context0         The context used for the implicit search
   */
  class ImplicitSearch(tree: Tree, pt: Type, isView: Boolean, context0: Context) 
    extends Typer(context0) {
      printTyping(
        ptBlock("new ImplicitSearch",
          "tree"        -> tree,
          "pt"          -> pt,
          "isView"      -> isView,
          "context0"    -> context0,
          "undetparams" -> context.outer.undetparams
        )
      )
//    assert(tree.isEmpty || tree.pos.isDefined, tree)

    import infer._
    /** Is implicit info `info1` better than implicit info `info2`?
     */
    def improves(info1: ImplicitInfo, info2: ImplicitInfo) = {
      incCounter(improvesCount)
      (info2 == NoImplicitInfo) ||
      (info1 != NoImplicitInfo) && {
        if (info1.sym.isStatic && info2.sym.isStatic) {
          improvesCache get (info1, info2) match {
            case Some(b) => incCounter(improvesCachedCount); b
            case None => 
              val result = isStrictlyMoreSpecific(info1.tpe, info2.tpe, info1.sym, info2.sym)
              improvesCache((info1, info2)) = result
              result
          }
        } else isStrictlyMoreSpecific(info1.tpe, info2.tpe, info1.sym, info2.sym)
      }
    }

    /** Map all type params in given list to WildcardType
     *  @param   tp  The type in which to do the mapping
     *  @param   tparams  The list of type parameters to map
     */
    private def tparamsToWildcards(tp: Type, tparams: List[Symbol]) =
      tp.instantiateTypeParams(tparams, tparams map (t => WildcardType))

    /* Map a polytype to one in which all type parameters and argument-dependent types are replaced by wildcards.
     * Consider `implicit def b(implicit x: A): x.T = error("")`. We need to approximate DebruijnIndex types 
     * when checking whether `b` is a valid implicit, as we haven't even searched a value for the implicit arg `x`,
     * so we have to approximate (otherwise it is excluded a priori).
     */
    private def depoly(tp: Type): Type = tp match {
      case PolyType(tparams, restpe) => tparamsToWildcards(ApproximateDependentMap(restpe), tparams)
      case _ => ApproximateDependentMap(tp)
    }

    /** Does type `dtor` dominate type `dted`?
     *  This is the case if the stripped cores `dtor1` and `dted1` of both types are
     *  the same wrt `=:=`, or if they overlap and the complexity of `dtor1` is higher
     *  than the complexity of `dted1`.
     *  The _stripped core_ of a type is the type where
     *   - all refinements and annotations are dropped,
     *   - all universal and existential quantification is eliminated
     *     by replacing variables by their upper bounds,
     *   - all remaining free type parameters in the type are replaced by WildcardType.
     *  The _complexity_ of a stripped core type corresponds roughly to the number of
     *  nodes in its ast, except that singleton types are widened before taking the complexity.
     *  Two types overlap if they have the same type symbol, or
     *  if one or both are intersection types with a pair of overlapiing parent types.
     */
    private def dominates(dtor: Type, dted: Type): Boolean = {
      def core(tp: Type): Type = tp.normalize match {
        case RefinedType(parents, defs) => intersectionType(parents map core, tp.typeSymbol.owner)
        case AnnotatedType(annots, tp, selfsym) => core(tp)
        case ExistentialType(tparams, result) => core(result).subst(tparams, tparams map (t => core(t.info.bounds.hi)))
        case PolyType(tparams, result) => core(result).subst(tparams, tparams map (t => core(t.info.bounds.hi)))
        case _ => tp
      }
      def stripped(tp: Type): Type = {
        val tparams = freeTypeParametersNoSkolems.collect(tp)
        tp.subst(tparams, tparams map (t => WildcardType))
      }
      def sum(xs: List[Int]) = (0 /: xs)(_ + _)
      def complexity(tp: Type): Int = tp.normalize match {
        case NoPrefix =>
          0
        case SingleType(pre, sym) => 
          if (sym.isPackage) 0 else complexity(tp.widen)
        case TypeRef(pre, sym, args) => 
          complexity(pre) + sum(args map complexity) + 1
        case RefinedType(parents, _) => 
          sum(parents map complexity) + 1
        case _ => 
          1
      }
      def overlaps(tp1: Type, tp2: Type): Boolean = (tp1, tp2) match {
        case (RefinedType(parents, _), _) => parents exists (overlaps(_, tp2))
        case (_, RefinedType(parents, _)) => parents exists (overlaps(tp1, _))
        case _ => tp1.typeSymbol == tp2.typeSymbol
      }
      val dtor1 = stripped(core(dtor))
      val dted1 = stripped(core(dted))
      overlaps(dtor1, dted1) && (dtor1 =:= dted1 || complexity(dtor1) > complexity(dted1))
    }

    incCounter(implicitSearchCount)

    /** Issues an error signalling ambiguous implicits */
    private def ambiguousImplicitError(info1: ImplicitInfo, info2: ImplicitInfo, 
                               pre1: String, pre2: String, trailer: String) =
      if (!info1.tpe.isErroneous && !info2.tpe.isErroneous) {
        val coreMsg = 
          pre1+" "+info1.sym+info1.sym.locationString+" of type "+info1.tpe+"\n "+
          pre2+" "+info2.sym+info2.sym.locationString+" of type "+info2.tpe+"\n "+
          trailer
        error(tree.pos, 
          if (isView) {
            val found = pt.typeArgs(0)
            val req = pt.typeArgs(1)
            def defaultExplanation =
              "Note that implicit conversions are not applicable because they are ambiguous:\n "+
              coreMsg+"are possible conversion functions from "+ found+" to "+req
            
            def explanation = {
              val sym = found.typeSymbol
              // Explain some common situations a bit more clearly.
              if (AnyRefClass.tpe <:< req) {
                if (sym == AnyClass || sym == UnitClass) {
                  "Note: " + sym.name + " is not implicitly converted to AnyRef.  You can safely\n" +
                  "pattern match `x: AnyRef` or cast `x.asInstanceOf[AnyRef]` to do so."
                }
                else boxedClass get sym match {
                  case Some(boxed)  =>
                    "Note: an implicit exists from " + sym.fullName + " => " + boxed.fullName + ", but\n" +
                    "methods inherited from Object are rendered ambiguous.  This is to avoid\n" +
                    "a blanket implicit which would convert any " + sym.fullName + " to any AnyRef.\n" +
                    "You may wish to use a type ascription: `x: " + boxed.fullName + "`."
                  case _ =>
                    defaultExplanation
                }
              }
              else defaultExplanation
            }
            
            typeErrorMsg(found, req) + "\n" + explanation
          }
          else {
            "ambiguous implicit values:\n "+coreMsg + "match expected type "+pt
          })
        }

    /** The type parameters to instantiate */
    val undetParams = if (isView) List() else context.outer.undetparams

    def approximate(tp: Type) =
      if (undetParams.isEmpty) tp
      else tp.instantiateTypeParams(undetParams, undetParams map (_ => WildcardType))

    val wildPt = approximate(pt)

    /** Try to construct a typed tree from given implicit info with given
     *  expected type.
     *  Detect infinite search trees for implicits.
     *
     *  @param info    The given implicit info describing the implicit definition
     *  @pre           <code>info.tpe does not contain an error
     */
    private def typedImplicit(info: ImplicitInfo, ptChecked: Boolean): SearchResult = {
      printInference("[typedImplicit] " + info)
      (context.openImplicits find { case (tp, sym) => sym == tree.symbol && dominates(pt, tp)}) match {
         case Some(pending) =>
           // println("Pending implicit "+pending+" dominates "+pt+"/"+undetParams) //@MDEBUG
           throw DivergentImplicit
         case None =>
           try {
             context.openImplicits = (pt, tree.symbol) :: context.openImplicits
             // println("  "*context.openImplicits.length+"typed implicit "+info+" for "+pt) //@MDEBUG
             typedImplicit0(info, ptChecked)
           } catch {
             case ex: DivergentImplicit => 
               // println("DivergentImplicit for pt:"+ pt +", open implicits:"+context.openImplicits) //@MDEBUG
               if (context.openImplicits.tail.isEmpty) {
                 if (!(pt.isErroneous))
                   context.unit.error(
                     tree.pos, "diverging implicit expansion for type "+pt+"\nstarting with "+
                     info.sym+info.sym.locationString)
                 SearchFailure
               } else {
                 throw DivergentImplicit
               }
           } finally {
             context.openImplicits = context.openImplicits.tail
           }
       }
    }

    /** Todo reconcile with definition of stability given in Types.scala */
    private def isStable(tp: Type): Boolean = tp match {
     case TypeRef(pre, sym, _) => 
       sym.isPackageClass || 
       sym.isModuleClass && isStable(pre) /*||
       sym.isAliasType && isStable(tp.normalize)*/
     case _ => tp.isStable
    }

    /** Does type `tp' match expected type `pt'
     *  This is the case if either `pt' is a unary function type with a
     *  HasMethodMatching type as result, and `tp' is a unary function
     *  or method type whose result type has a method whose name and type
     *  correspond to the HasMethodMatching type,
     *  or otherwise if `tp' is compatible with `pt'.
     *  This method is performance critical: 5-8% of typechecking time.
     */
    private def matchesPt(tp: Type, pt: Type, undet: List[Symbol]) = {
      val start = startTimer(matchesPtNanos)
      val result = normSubType(tp, pt) || isView && {
        pt match {
          case TypeRef(_, Function1.Sym, args) =>
            matchesPtView(tp, args.head, args.tail.head, undet)
          case _ =>
            false
        }
      }
      stopTimer(matchesPtNanos, start)
      result
    }

    private def matchesPtView(tp: Type, ptarg: Type, ptres: Type, undet: List[Symbol]): Boolean = tp match {
      case MethodType(p :: _, restpe) if p.isImplicit => matchesPtView(restpe, ptarg, ptres, undet)
      case MethodType(p :: Nil, restpe)               => matchesArgRes(p.tpe, restpe, ptarg, ptres, undet)
      case ExistentialType(_, qtpe)                   => matchesPtView(normalize(qtpe), ptarg, ptres, undet)
      case Function1(arg1, res1)                      => matchesArgRes(arg1, res1, ptarg, ptres, undet)
      case _                                          => false
    }

    private def matchesArgRes(tparg: Type, tpres: Type, ptarg: Type, ptres: Type, undet: List[Symbol]): Boolean = 
     (ptarg weak_<:< tparg) && {
       ptres match {
         case HasMethodMatching(name, argtpes, restpe) =>
           (tpres.member(name) filter (m => 
             isApplicableSafe(undet, m.tpe, argtpes, restpe))) != NoSymbol
         case _ =>
           tpres <:< ptres
       }
     }

    private def typedImplicit0(info: ImplicitInfo, ptChecked: Boolean): SearchResult = {
      incCounter(plausiblyCompatibleImplicits)
      printTyping(
        ptBlock("typedImplicit0",
          "info.name" -> info.name,
          "info.tpe"  -> depoly(info.tpe),
          "ptChecked" -> ptChecked,
          "pt"        -> wildPt,
          "orig"      -> ptBlock("info",
            "matchesPt"             -> matchesPt(depoly(info.tpe), wildPt, Nil),
            "undetParams"           -> undetParams,
            "isPlausiblyCompatible" -> isPlausiblyCompatible(info.tpe, wildPt),
            "info.pre"              -> info.pre,
            "isStable"              -> isStable(info.pre)
          ).replaceAll("\\n", "\n  ")
        )
      )

      if (ptChecked || matchesPt(depoly(info.tpe), wildPt, Nil) && isStable(info.pre))
        typedImplicit1(info)
      else
        SearchFailure
    }

    private def typedImplicit1(info: ImplicitInfo): SearchResult = {
      incCounter(matchingImplicits)

      val itree = atPos(tree.pos.focus) {
        if (info.pre == NoPrefix) Ident(info.name) 
        else Select(gen.mkAttributedQualifier(info.pre), info.name)
      } 
      printTyping("typedImplicit1 %s, pt=%s, from implicit %s:%s".format(
        typeDebug.ptTree(itree), wildPt, info.name, info.tpe)
      )

      def fail(reason: String): SearchResult = {
        if (settings.XlogImplicits.value)
          inform(itree+" is not a valid implicit value for "+pt+" because:\n"+reason)
        SearchFailure
      }
      try {
        val itree1 =
          if (isView) {
            val arg1 :: arg2 :: _ = pt.typeArgs
            typed1(
              atPos(itree.pos)(Apply(itree, List(Ident("<argument>") setType approximate(arg1)))),
              EXPRmode,
              approximate(arg2)
            )
          }
          else
            typed1(itree, EXPRmode, wildPt)

        incCounter(typedImplicits)

        printTyping("typed implicit %s:%s, pt=%s".format(itree1, itree1.tpe, wildPt))
        val itree2 = if (isView) (itree1: @unchecked) match { case Apply(fun, _) => fun }
                     else adapt(itree1, EXPRmode, wildPt)
                     
        printTyping("adapted implicit %s:%s to %s".format(
          itree1.symbol, itree2.tpe, wildPt)
        )

        def hasMatchingSymbol(tree: Tree): Boolean = (tree.symbol == info.sym) || {
          tree match {
            case Apply(fun, _)          => hasMatchingSymbol(fun)
            case TypeApply(fun, _)      => hasMatchingSymbol(fun)
            case Select(pre, nme.apply) => pre.symbol == info.sym
            case _                      => false
          }
        }

        if (itree2.tpe.isError)
          SearchFailure
        else if (!hasMatchingSymbol(itree1))
          fail("candidate implicit %s is shadowed by other implicit %s".format(
            info.sym + info.sym.locationString, itree1.symbol + itree1.symbol.locationString))
        else {
          val tvars = undetParams map freshVar
              
          if (matchesPt(itree2.tpe, pt.instantiateTypeParams(undetParams, tvars), undetParams)) {
            printInference(
              ptBlock("matchesPt",
                "itree1"      -> itree1,
                "tvars"       -> tvars,
                "undetParams" -> undetParams
              )
            )

            if (tvars.nonEmpty)
              printTyping(ptLine("" + info.sym, "tvars" -> tvars, "tvars.constr" -> tvars.map(_.constr)))
              
            val targs = solvedTypes(tvars, undetParams, undetParams map varianceInType(pt),
                                    false, lubDepth(List(itree2.tpe, pt)))

            // #2421: check that we correctly instantiated type parameters outside of the implicit tree:
            checkBounds(itree2.pos, NoPrefix, NoSymbol, undetParams, targs, "inferred ")

            // filter out failures from type inference, don't want to remove them from undetParams!
            // we must be conservative in leaving type params in undetparams
            // prototype == WildcardType: want to remove all inferred Nothings
            val AdjustedTypeArgs(okParams, okArgs) = adjustTypeArgs(undetParams, targs)
            val subst: TreeTypeSubstituter =
              if (okParams.isEmpty) EmptyTreeTypeSubstituter
              else {
                val subst = new TreeTypeSubstituter(okParams, okArgs)
                subst traverse itree2 
                subst
              }

            // #2421b: since type inference (which may have been
            // performed during implicit search) does not check whether
            // inferred arguments meet the bounds of the corresponding
            // parameter (see note in solvedTypes), must check again
            // here:
            // TODO: I would prefer to just call typed instead of
            // duplicating the code here, but this is probably a
            // hotspot (and you can't just call typed, need to force
            // re-typecheck)
            // TODO: the return tree is ignored.  This seems to make
            // no difference, but it's bad practice regardless.
            itree2 match {
              case TypeApply(fun, args)           => typedTypeApply(itree2, EXPRmode, fun, args)
              case Apply(TypeApply(fun, args), _) => typedTypeApply(itree2, EXPRmode, fun, args) // t2421c
              case t                              => t
            }
            val result = new SearchResult(itree2, subst)
            incCounter(foundImplicits)
            printInference("[typedImplicit1] SearchResult: " + result)
            result
          }
          else fail("incompatible: %s does not match expected type %s".format(
            itree2.tpe, pt.instantiateTypeParams(undetParams, tvars)))
        }
      }
      catch {
        case ex: TypeError => fail(ex.getMessage())
      }
    }
    
    // #3453: in addition to the implicit symbols that may shadow the implicit with
    // name `name`, this method tests whether there's a non-implicit symbol with name
    // `name` in scope.  Inspired by logic in typedIdent.
    private def nonImplicitSynonymInScope(name: Name) = {
      // the implicit ones are handled by the `shadowed` set above
      context.scope.lookupEntry(name) match {
        case x: ScopeEntry  => reallyExists(x.sym) && !x.sym.isImplicit
        case _              => false
      }
    }

    /** Is `sym' the standard conforms method in Predef?
     *  Note: DON't replace this by sym == Predef_conforms, as Predef_conforms is a `def'
     *  which does a member lookup (it can't be a lazy val because we might reload Predef
     *  during resident compilations). 
     */
    private def isConformsMethod(sym: Symbol) = 
      sym.name == nme.conforms && sym.owner == PredefModule.moduleClass

    /** Should implicit definition symbol `sym' be considered for applicability testing?
     *  This is the case if one of the following holds:
     *   - the symbol's type is initialized
     *   - the symbol comes from a classfile
     *   - the symbol comes from a different sourcefile than the current one
     *   - the symbol and the accessed symbol's definitions come before, and do not contain the closest enclosing definition, // see #3373
     *   - the symbol's definition is a val, var, or def with an explicit result type
     *  The aim of this method is to prevent premature cyclic reference errors
     *  by computing the types of only those implicits for which one of these 
     *  conditions is true.
     */
    def isValid(sym: Symbol) = {
      def hasExplicitResultType(sym: Symbol) = {
        def hasExplicitRT(tree: Tree) = tree match {
          case x: ValOrDefDef => !x.tpt.isEmpty
          case _              => false
        }
        sym.rawInfo match {
          case tc: TypeCompleter => hasExplicitRT(tc.tree)
          case PolyType(_, tc: TypeCompleter) => hasExplicitRT(tc.tree)
          case _ => true
        }
      }
      def comesBefore(sym: Symbol, owner: Symbol) = {
        val ownerPos = owner.pos.pointOrElse(Int.MaxValue)
        sym.pos.pointOrElse(0) < ownerPos && (
          if (sym hasAccessorFlag) {
            val symAcc = sym.accessed // #3373
            symAcc.pos.pointOrElse(0) < ownerPos &&
            !(owner.ownerChain exists (o => (o eq sym) || (o eq symAcc))) // probably faster to iterate only once, don't feel like duplicating hasTransOwner for this case
          } else !(owner hasTransOwner sym)) // faster than owner.ownerChain contains sym
      }

      sym.isInitialized ||
      sym.sourceFile == null ||
      (sym.sourceFile ne context.unit.source.file) || 
      hasExplicitResultType(sym) ||
      comesBefore(sym, context.owner)
    }
    
    /** Prune ImplicitInfos down to either all the eligible ones or the best one.
     *
     *  @param  iss       list of list of infos
     *  @param  shadowed  set in which to record names that are shadowed by implicit infos
     *                    If it is null, no shadowing.
     */
    class ImplicitComputation(iss: Infoss, shadowed: util.HashSet[Name]) {
      private var best: SearchResult = SearchFailure
      
      /** True if a given ImplicitInfo (already known isValid) is eligible.
       */
      def survives(info: ImplicitInfo): Boolean = {
        !info.isCyclicOrErroneous &&
        !(isView && isConformsMethod(info.sym)) &&
        isPlausiblyCompatible(info.tpe, wildPt) &&        // <--- cheaper than matchesPt
        matchesPt(depoly(info.tpe), wildPt, Nil) &&
        isStable(info.pre) &&
        (shadowed == null || (!shadowed(info.name) && !nonImplicitSynonymInScope(info.name)))
      }
      /** The implicits that are not valid because they come later in the source and
       *  lack an explicit result type. Used for error diagnostics only.
       */
      val invalidImplicits = new ListBuffer[Symbol]
      
      /** Tests for validity and updates invalidImplicits by side effect when false.
       */
      private def checkValid(sym: Symbol) = isValid(sym) || { invalidImplicits += sym ; false }
      
      /** Preventing a divergent implicit from terminating implicit search,
       *  so that if there is a best candidate it can still be selected.
       */
      private var divergence = false
      private val MaxDiverges = 1   // not sure if this should be > 1
      private val divergenceHandler = util.Exceptional.expiringHandler(MaxDiverges) {
        case x: DivergentImplicit =>
          divergence = true
          log("discarding divergent implicit during implicit search")
          SearchFailure
      }

      /** Sorted list of eligible implicits.
       */
      val eligible = {
        val matches = iss flatMap { is => 
          val result = is filter (info => checkValid(info.sym) && survives(info))
          if (shadowed ne null)
            shadowed addEntries (is map (_.name))
          
          result
        }

        // most frequent one first
        matches sortBy (x => if (isView) -x.useCountView else -x.useCountArg)
      }
      def eligibleString = {
        val args = List(
          "search"   -> pt,
          "target"   -> tree,
          "isView"   -> isView
        ) ++ eligible.map("eligible" -> _)
        
        ptBlock("Implicit search in " + context, args: _*)
      }
      printInference(eligibleString)

      /** Faster implicit search.  Overall idea:
       *   - prune aggressively
       *   - find the most likely one
       *   - if it matches, forget about all others it improves upon
       */
      @tailrec private def rankImplicits(pending: Infos, acc: Infos): Infos = pending match {
        case Nil      => acc
        case i :: is  =>
          def tryImplicitInfo(i: ImplicitInfo) =
            try typedImplicit(i, true)
            catch divergenceHandler
        
          tryImplicitInfo(i) match {
            case SearchFailure  => rankImplicits(is, acc)
            case newBest        =>
              best = newBest
              val newPending = undoLog undo {
                is filterNot (alt => alt == i || {
                  try improves(i, alt)
                  catch { case e: CyclicReference => true }
                })
              }
              rankImplicits(newPending, i :: acc)
          }
      }
      
      /** Returns all eligible ImplicitInfos and their SearchResults in a map.
       */
      def findAll() = eligible map (info => (info, typedImplicit(info, false))) toMap
      
      /** Returns the SearchResult of the best match.
       */
      def findBest(): SearchResult = {
        // After calling rankImplicits, the least frequent matching one is first and
        // earlier elems may improve on later ones, but not the other way.
        // So if there is any element not improved upon by the first it is an error.
        rankImplicits(eligible, Nil) match {
          case Nil            => ()
          case chosen :: rest => 
            rest find (alt => !improves(chosen, alt)) match {
              case Some(competing)  =>
                ambiguousImplicitError(chosen, competing, "both", "and", "")
              case _                =>
                if (isView) chosen.useCountView += 1
                else chosen.useCountArg += 1              
            }
        }

        if (best == SearchFailure) {
          /** If there is no winner, and we witnessed and caught divergence,
           *  now we can throw it for the error message.
           */
          if (divergence)
            throw DivergentImplicit
            
          if (invalidImplicits.nonEmpty)
            setAddendum(tree.pos, () => 
              "\n Note: implicit "+invalidImplicits.head+" is not applicable here"+
              " because it comes after the application point and it lacks an explicit result type")
        }

        best
      }
    }

    /** Computes from a list of lists of implicit infos a map which takes
     *  infos which are applicable for given expected type `pt` to their attributed trees.
     *
     *  @param iss            The given list of lists of implicit infos
     *  @param isLocal        Is implicit definition visible without prefix?
     *                        If this is the case then symbols in preceding lists shadow 
     *                        symbols of the same name in succeeding lists.
     *  @return               map from infos to search results
     */     
    def applicableInfos(iss: Infoss, isLocal: Boolean): Map[ImplicitInfo, SearchResult] = {
      val start       = startCounter(subtypeAppInfos)
      val computation = new ImplicitComputation(iss, if (isLocal) util.HashSet[Name](512) else null) { }
      val applicable  = computation.findAll()

      stopCounter(subtypeAppInfos, start)
      applicable
    }
    
    /** Search list of implicit info lists for one matching prototype `pt`.
     *  If found return a search result with a tree from found implicit info
     *  which is typed with expected type `pt`. Otherwise return SearchFailure.
     *
     *  @param implicitInfoss The given list of lists of implicit infos
     *  @param isLocal        Is implicit definition visible without prefix?
     *                        If this is the case then symbols in preceding lists shadow 
     *                        symbols of the same name in succeeding lists.
     */
    def searchImplicit(implicitInfoss: Infoss, isLocal: Boolean): SearchResult =
      if (implicitInfoss.forall(_.isEmpty)) SearchFailure
      else new ImplicitComputation(implicitInfoss, if (isLocal) util.HashSet[Name](128) else null) findBest()
      
    /** Produce an implicict info map, i.e. a map from the class symbols C of all parts of this type to 
     *  the implicit infos in the companion objects of these class symbols C.
     * The parts of a type is the smallest set of types that contains
     *    - the type itself
     *    - the parts of its immediate components (prefix and argument)
     *    - the parts of its base types
     *    - for alias types and abstract types, we take instead the parts
     *    - of their upper bounds.
     *  @return For those parts that refer to classes with companion objects that
     *  can be accessed with unambiguous stable prefixes, the implicits infos
     *  which are members of these companion objects.
     */
    private def companionImplicitMap(tp: Type): InfoMap = {
        
      /** Populate implicit info map by traversing all parts of type `tp`.
       *  Parameters as for `getParts`.  
       */
      def getClassParts(tp: Type)(implicit infoMap: InfoMap, seen: mutable.Set[Type], pending: Set[Symbol]) = tp match {
        case TypeRef(pre, sym, args) =>
          infoMap get sym match {
            case Some(infos1) =>
              if (infos1.nonEmpty && !(pre =:= infos1.head.pre.prefix)) {
                println("amb prefix: "+pre+"#"+sym+" "+infos1.head.pre.prefix+"#"+sym)
                infoMap(sym) = List() // ambiguous prefix - ignore implicit members 
              }
            case None =>
              if (pre.isStable) {
                val companion = sym.companionModule
                companion.moduleClass match {
                  case mc: ModuleClassSymbol =>
                    val infos =
                      for (im <- mc.implicitMembers) yield new ImplicitInfo(im.name, singleType(pre, companion), im)
                    if (infos.nonEmpty)
                      infoMap += (sym -> infos)
                  case _ =>
                }
              }
              val bts = tp.baseTypeSeq
              var i = 1
              while (i < bts.length) {
                getParts(bts(i))
                i += 1
              } 
              getParts(pre)
            }
      }

      /** Populate implicit info map by traversing all parts of type `tp`.
       *  This method is performance critical.
       *  @param tp   The type for which we want to traverse parts
       *  @param infoMap  The infoMap in which implicit infos corresponding to parts are stored
       *  @param seen     The types that were already visited previously when collecting parts for the given infoMap
       *  @param pending  The set of static symbols for which we are currently trying to collect their parts
       *                  in order to cache them in infoMapCache
       */
      def getParts(tp: Type)(implicit infoMap: InfoMap, seen: mutable.Set[Type], pending: Set[Symbol]) {
        if (seen(tp))
          return
        seen += tp
        tp match { 
          case TypeRef(pre, sym, args) =>
            if (sym.isClass) {
              if (!((sym.name == tpnme.REFINE_CLASS_NAME) ||
                    (sym.name startsWith tpnme.ANON_CLASS_NAME) ||
                    (sym.name == tpnme.ROOT))) {
                if (sym.isStatic && !(pending contains sym))
                  infoMap ++= {
                    infoMapCache get sym match {
                      case Some(imap) => imap
                      case None =>
                        val result = new InfoMap
                        getClassParts(sym.tpe)(result, new mutable.HashSet(), pending + sym)
                        infoMapCache(sym) = result
                        result
                    }
                  }
                else
                  getClassParts(tp)
                args foreach (getParts(_))
              }
            } else if (sym.isAliasType) {
              getParts(tp.normalize)
            } else if (sym.isAbstractType) {
              getParts(tp.bounds.hi)
            }
          case ThisType(_) =>
            getParts(tp.widen)
          case _: SingletonType =>
            getParts(tp.widen)
          case HasMethodMatching(_, argtpes, restpe) =>
            for (tp <- argtpes) getParts(tp)
            getParts(restpe)
          case RefinedType(ps, _) =>
            for (p <- ps) getParts(p)
          case AnnotatedType(_, t, _) =>
            getParts(t)
          case ExistentialType(_, t) => 
            getParts(t)
          case PolyType(_, t) => 
            getParts(t)
          case _ =>
        }
      }
      
      val infoMap = new InfoMap
      getParts(tp)(infoMap, new mutable.HashSet(), Set())
      printInference("[companionImplicitMap] "+tp+" = "+infoMap)
      infoMap
    }

    /** The parts of a type is the smallest set of types that contains
     *    - the type itself
     *    - the parts of its immediate components (prefix and argument)
     *    - the parts of its base types
     *    - for alias types and abstract types, we take instead the parts
     *    - of their upper bounds.
     *  @return For those parts that refer to classes with companion objects that
     *  can be accessed with unambiguous stable prefixes, the implicits infos
     *  which are members of these companion objects.

    private def companionImplicits(tp: Type): Infoss = {
      val partMap = new LinkedHashMap[Symbol, Type]
      val seen = mutable.HashSet[Type]()  // cycle detection

      /** Enter all parts of `tp` into `parts` set.
       *  This method is performance critical: about 2-4% of all type checking is spent here
       */
      def getParts(tp: Type) {
        if (seen(tp))
          return
        seen += tp
        tp match {
          case TypeRef(pre, sym, args) =>
            if (sym.isClass) {
              if (!((sym.name == tpnme.REFINE_CLASS_NAME) ||
                    (sym.name startsWith tpnme.ANON_CLASS_NAME) ||
                    (sym.name == tpnme.ROOT)))
                partMap get sym match {
                  case Some(pre1) => 
                    if (!(pre =:= pre1)) partMap(sym) = NoType // ambiguous prefix - ignore implicit members 
                  case None =>
                    if (pre.isStable) partMap(sym) = pre
                    val bts = tp.baseTypeSeq
                    var i = 1
                    while (i < bts.length) {
                      getParts(bts(i))
                      i += 1
                    }
                    getParts(pre)
                    args foreach getParts
                }
            } else if (sym.isAliasType) {
              getParts(tp.normalize)
            } else if (sym.isAbstractType) {
              getParts(tp.bounds.hi)
            }
          case ThisType(_) =>
            getParts(tp.widen)
          case _: SingletonType =>
            getParts(tp.widen)
          case RefinedType(ps, _) =>
            for (p <- ps) getParts(p)
          case AnnotatedType(_, t, _) =>
            getParts(t)
          case ExistentialType(_, t) => 
            getParts(t)
          case PolyType(_, t) => 
            getParts(t)
          case _ =>
        }
      }

      getParts(tp)

      val buf = new ListBuffer[Infos]
      for ((clazz, pre) <- partMap) {
        if (pre != NoType) {
          val companion = clazz.companionModule
          companion.moduleClass match {
            case mc: ModuleClassSymbol =>
              buf += (mc.implicitMembers map (im => 
                new ImplicitInfo(im.name, singleType(pre, companion), im)))
            case _ =>
          }
        }
      }
      //println("companion implicits of "+tp+" = "+buf.toList) // DEBUG
      buf.toList
    }

*/
    
    /** The implicits made available by type `pt`.
     *  These are all implicits found in companion objects of classes C
     *  such that some part of `tp` has C as one of its superclasses.
     */
    private def implicitsOfExpectedType: Infoss = implicitsCache get pt match {
      case Some(implicitInfoss) => 
        incCounter(implicitCacheHits)
        implicitInfoss
      case None                 =>
        incCounter(implicitCacheMisses)
        val start = startTimer(subtypeETNanos)
//        val implicitInfoss = companionImplicits(pt)
        val implicitInfoss1 = companionImplicitMap(pt).valuesIterator.toList
//        val is1 = implicitInfoss.flatten.toSet
//        val is2 = implicitInfoss1.flatten.toSet
//        for (i <- is1) 
//          if (!(is2 contains i)) println("!!! implicit infos of "+pt+" differ, new does not contain "+i+",\nold: "+implicitInfoss+",\nnew: "+implicitInfoss1)
//        for (i <- is2)
//          if (!(is1 contains i)) println("!!! implicit infos of "+pt+" differ, old does not contain "+i+",\nold: "+implicitInfoss+",\nnew: "+implicitInfoss1)
        stopTimer(subtypeETNanos, start)
        implicitsCache(pt) = implicitInfoss1
        if (implicitsCache.size >= sizeLimit)
          implicitsCache -= implicitsCache.keysIterator.next
        implicitInfoss1
    }

    /** Creates a tree that calls the relevant factory method in object
      * reflect.Manifest for type 'tp'. An EmptyTree is returned if
      * no manifest is found. todo: make this instantiate take type params as well?
      */
    private def manifestOfType(tp: Type, full: Boolean): SearchResult = {
      
      /** Creates a tree that calls the factory method called constructor in object reflect.Manifest */
      def manifestFactoryCall(constructor: String, tparg: Type, args: Tree*): Tree =
        if (args contains EmptyTree) EmptyTree
        else typedPos(tree.pos.focus) {
          Apply(
            TypeApply(
              Select(gen.mkAttributedRef(if (full) FullManifestModule else PartialManifestModule), constructor),
              List(TypeTree(tparg))
            ),
            args.toList
          )
        }
      
      /** Creates a tree representing one of the singleton manifests.*/
      def findSingletonManifest(name: String) = typedPos(tree.pos.focus) { 
        Select(gen.mkAttributedRef(FullManifestModule), name)
      }
      
      /** Re-wraps a type in a manifest before calling inferImplicit on the result */
      def findManifest(tp: Type, manifestClass: Symbol = if (full) FullManifestClass else PartialManifestClass) =
        inferImplicit(tree, appliedType(manifestClass.typeConstructor, List(tp)), true, false, context).tree

      def findSubManifest(tp: Type) = findManifest(tp, if (full) FullManifestClass else OptManifestClass)
      def mot(tp0: Type, from: List[Symbol], to: List[Type]): SearchResult = {
        implicit def wrapResult(tree: Tree): SearchResult = 
          if (tree == EmptyTree) SearchFailure else new SearchResult(tree, if (from.isEmpty) EmptyTreeTypeSubstituter else new TreeTypeSubstituter(from, to))

        val tp1 = tp0.normalize
        tp1 match {
          case ThisType(_) | SingleType(_, _) if !(tp1 exists {tp => tp.typeSymbol.isExistentiallyBound}) => // can't generate a reference to a value that's abstracted over by an existential
            manifestFactoryCall("singleType", tp, gen.mkAttributedQualifier(tp1)) 
          case ConstantType(value) =>
            manifestOfType(tp1.deconst, full)
          case TypeRef(pre, sym, args) =>
            if (isValueClass(sym) || isPhantomClass(sym)) {
              findSingletonManifest(sym.name.toString)
            } else if (sym == ObjectClass || sym == AnyRefClass) {
              findSingletonManifest("Object")
            } else if (sym == RepeatedParamClass || sym == ByNameParamClass) {
              EmptyTree
            } else if (sym == ArrayClass && args.length == 1) {
              manifestFactoryCall("arrayType", args.head, findManifest(args.head))
            } else if (sym.isClass) {
              val classarg0 = gen.mkClassOf(tp1) 
              val classarg = tp match {
                case ExistentialType(_, _) => 
                  TypeApply(Select(classarg0, Any_asInstanceOf), 
                            List(TypeTree(appliedType(ClassClass.typeConstructor, List(tp)))))
                case _ => 
                  classarg0
              }
              val suffix = classarg :: (args map findSubManifest)
              manifestFactoryCall(
                "classType", tp,
                (if ((pre eq NoPrefix) || pre.typeSymbol.isStaticOwner) suffix
                 else findSubManifest(pre) :: suffix): _*)
            } else if (sym.isExistentiallyBound && full) {
              manifestFactoryCall("wildcardType", tp,
                                  findManifest(tp.bounds.lo), findManifest(tp.bounds.hi))
            } 
            // looking for a manifest of a type parameter that hasn't been inferred by now,
            // can't do much, but let's not fail
            else if (undetParams contains sym) { 
              // #3859: need to include the mapping from sym -> NothingClass.tpe in the SearchResult
              mot(NothingClass.tpe, sym :: from, NothingClass.tpe :: to)
            } else {
              // a manifest should have been found by normal searchImplicit
              EmptyTree
            }
          case RefinedType(parents, decls) =>
            // refinement is not generated yet
            if (hasLength(parents, 1)) findManifest(parents.head)
            else if (full) manifestFactoryCall("intersectionType", tp, parents map findSubManifest: _*)
            else mot(erasure.erasure.intersectionDominator(parents), from, to)
          case ExistentialType(tparams, result) =>
            mot(tp1.skolemizeExistential, from, to)
          case _ =>
            EmptyTree
        }
      }

      mot(tp, Nil, Nil)
    }

    def wrapResult(tree: Tree): SearchResult = 
      if (tree == EmptyTree) SearchFailure else new SearchResult(tree, EmptyTreeTypeSubstituter)

    /** The manifest corresponding to type `pt`, provided `pt` is an instance of Manifest.
     */
    private def implicitManifestOrOfExpectedType(pt: Type): SearchResult = pt.dealias match {
      case TypeRef(_, sym, args) if ManifestSymbols(sym) =>
        manifestOfType(args.head, sym == FullManifestClass) match {
          case SearchFailure if sym == OptManifestClass => wrapResult(gen.mkAttributedRef(NoManifest))
          case result                                   => result
        }
      case tp@TypeRef(_, sym, _) if sym.isAbstractType =>
        implicitManifestOrOfExpectedType(tp.bounds.lo) // #3977: use tp (==pt.dealias), not pt (if pt is a type alias, pt.bounds.lo == pt)
      case _ =>
        searchImplicit(implicitsOfExpectedType, false)
        // shouldn't we pass `pt` to `implicitsOfExpectedType`, or is the recursive case
        // for an abstract type really only meant for manifests?
    }
            
    /** The result of the implicit search:
     *  First search implicits visible in current context.
     *  If that fails, search implicits in expected type `pt`.
     *  If that fails, and `pt` is an instance of Manifest, try to construct a manifest.
     *  If all fails return SearchFailure
     */
    def bestImplicit: SearchResult = {
      val failstart = startTimer(inscopeFailNanos)
      val succstart = startTimer(inscopeSucceedNanos)
      
      var result = searchImplicit(context.implicitss, true)

      if (result == SearchFailure) {
        stopTimer(inscopeFailNanos, failstart)
      } else {
        stopTimer(inscopeSucceedNanos, succstart)
        incCounter(inscopeImplicitHits)
      }
      if (result == SearchFailure) {
        val failstart = startTimer(oftypeFailNanos)
        val succstart = startTimer(oftypeSucceedNanos)

        result = implicitManifestOrOfExpectedType(pt)

        if (result == SearchFailure) {
          stopTimer(oftypeFailNanos, failstart)
        } else {
          stopTimer(oftypeSucceedNanos, succstart)
          incCounter(oftypeImplicitHits)
        }
      }

      if (result == SearchFailure && settings.debug.value)
        log("no implicits found for "+pt+" "+pt.typeSymbol.info.baseClasses+" "+implicitsOfExpectedType)

      result
    }

    def allImplicits: List[SearchResult] = {
      def search(iss: Infoss, isLocal: Boolean) = applicableInfos(iss, isLocal).values
      (search(context.implicitss, true) ++ search(implicitsOfExpectedType, false)).toList.filter(_.tree ne EmptyTree)
    }
  }

  object ImplicitNotFoundMsg {
    def unapply(sym: Symbol): Option[(Message)] = sym.implicitNotFoundMsg map (m => (new Message(sym, m)))
    // check the message's syntax: should be a string literal that may contain occurrences of the string "${X}",
    // where `X` refers to a type parameter of `sym`
    def check(sym: Symbol): Option[String] =
      sym.getAnnotation(ImplicitNotFoundClass).flatMap(_.stringArg(0) match {
        case Some(m) => new Message(sym, m) validate
        case None => Some("Missing argument `msg` on implicitNotFound annotation.")
      })
    

    class Message(sym: Symbol, msg: String) {
      // http://dcsobral.blogspot.com/2010/01/string-interpolation-in-scala-with.html
      private def interpolate(text: String, vars: Map[String, String]) = {
        """\$\{([^}]+)\}""".r.replaceAllIn(text, (_: Regex.Match) match { 
          case Regex.Groups(v) => java.util.regex.Matcher.quoteReplacement(vars.getOrElse(v, "")) // #3915: need to quote replacement string since it may include $'s (such as the interpreter's $iw)
        })}

      private lazy val typeParamNames: List[String] = sym.typeParams.map(_.decodedName)

      def format(paramName: Name, paramTp: Type): String = format(paramTp.typeArgs map (_.toString))
      def format(typeArgs: List[String]): String = 
        interpolate(msg, Map((typeParamNames zip typeArgs): _*)) // TODO: give access to the name and type of the implicit argument, etc?

      def validate: Option[String] = {
        import scala.util.matching.Regex; import collection.breakOut
        // is there a shorter way to avoid the intermediate toList?
        val refs = """\$\{([^}]+)\}""".r.findAllIn(msg).matchData.map(_ group 1).toSet
        val decls = typeParamNames.toSet
        
        (refs &~ decls) match {
          case s if s isEmpty => None
          case unboundNames =>
            val singular = unboundNames.size == 1
            Some("The type parameter"+( if(singular) " " else "s " )+ unboundNames.mkString(", ")  +
                  " referenced in the message of the @implicitNotFound annotation "+( if(singular) "is" else "are" )+
                  " not defined by "+ sym +".")
        }
      }
    }
  }
}
class DivergentImplicit extends Exception
object DivergentImplicit extends DivergentImplicit

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