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-rw-r--r--compiler/ast.nim12
-rw-r--r--compiler/msgs.nim2
-rw-r--r--compiler/semdata.nim15
-rw-r--r--compiler/semexprs.nim1
-rw-r--r--compiler/semstmts.nim2
-rw-r--r--compiler/semtypes.nim1
-rw-r--r--compiler/semtypinst.nim5
-rw-r--r--compiler/sigmatch.nim143
-rw-r--r--compiler/types.nim2
-rw-r--r--doc/manual/generics.txt4
10 files changed, 139 insertions, 48 deletions
diff --git a/compiler/ast.nim b/compiler/ast.nim
index f13691d54..5adac92df 100644
--- a/compiler/ast.nim
+++ b/compiler/ast.nim
@@ -1581,7 +1581,7 @@ proc hasPattern*(s: PSym): bool {.inline.} =
   result = isRoutine(s) and s.ast.sons[patternPos].kind != nkEmpty
 
 iterator items*(n: PNode): PNode =
-  for i in 0.. <n.len: yield n.sons[i]
+  for i in 0.. <n.safeLen: yield n.sons[i]
 
 iterator pairs*(n: PNode): tuple[i: int, n: PNode] =
   for i in 0.. <n.len: yield (i, n.sons[i])
@@ -1624,6 +1624,16 @@ proc toObject*(typ: PType): PType =
   if result.kind == tyRef:
     result = result.lastSon
 
+proc findUnresolvedStatic*(n: PNode): PNode =
+  if n.kind == nkSym and n.typ.kind == tyStatic and n.typ.n == nil:
+    return n
+
+  for son in n:
+    let n = son.findUnresolvedStatic
+    if n != nil: return n
+
+  return nil
+
 when false:
   proc containsNil*(n: PNode): bool =
     # only for debugging
diff --git a/compiler/msgs.nim b/compiler/msgs.nim
index 2db3646b5..eb9986114 100644
--- a/compiler/msgs.nim
+++ b/compiler/msgs.nim
@@ -109,6 +109,7 @@ type
     errXCannotBeClosure, errXMustBeCompileTime,
     errCannotInferTypeOfTheLiteral,
     errCannotInferReturnType,
+    errCannotInferStaticParam,
     errGenericLambdaNotAllowed,
     errProcHasNoConcreteType,
     errCompilerDoesntSupportTarget,
@@ -373,6 +374,7 @@ const
     errXMustBeCompileTime: "'$1' can only be used in compile-time context",
     errCannotInferTypeOfTheLiteral: "cannot infer the type of the $1",
     errCannotInferReturnType: "cannot infer the return type of the proc",
+    errCannotInferStaticParam: "cannot infer the value of the static param `$1`",
     errGenericLambdaNotAllowed: "A nested proc can have generic parameters only when " &
                                 "it is used as an operand to another routine and the types " &
                                 "of the generic paramers can be inferred from the expected signature.",
diff --git a/compiler/semdata.nim b/compiler/semdata.nim
index 5cd755607..5644a2346 100644
--- a/compiler/semdata.nim
+++ b/compiler/semdata.nim
@@ -318,23 +318,14 @@ proc makeRangeWithStaticExpr*(c: PContext, n: PNode): PType =
   let intType = getSysType(tyInt)
   result = newTypeS(tyRange, c)
   result.sons = @[intType]
-  if n.typ.n == nil: result.flags.incl tfUnresolved
+  if n.typ != nil and n.typ.n == nil:
+    result.flags.incl tfUnresolved
   result.n = newNode(nkRange, n.info, @[
     newIntTypeNode(nkIntLit, 0, intType),
     makeStaticExpr(c, n.nMinusOne)])
 
 template rangeHasUnresolvedStatic*(t: PType): bool =
-  # this accepts the ranges's node
-  t.n != nil and t.n.len > 1 and t.n[1].kind == nkStaticExpr
-
-proc findUnresolvedStaticInRange*(t: PType): (PType, int) =
-  assert t.kind == tyRange
-  # XXX: This really needs to become more sophisticated
-  let upperBound = t.n[1]
-  if upperBound[0].kind == nkCall:
-    return (upperBound[0][1].typ, 1)
-  else:
-    return (upperBound.typ, 0)
+  tfUnresolved in t.flags
 
 proc errorType*(c: PContext): PType =
   ## creates a type representing an error state
diff --git a/compiler/semexprs.nim b/compiler/semexprs.nim
index 3ec2cd391..930c84368 100644
--- a/compiler/semexprs.nim
+++ b/compiler/semexprs.nim
@@ -627,6 +627,7 @@ proc evalAtCompileTime(c: PContext, n: PNode): PNode =
 
 proc semStaticExpr(c: PContext, n: PNode): PNode =
   let a = semExpr(c, n.sons[0])
+  if a.findUnresolvedStatic != nil: return a
   result = evalStaticExpr(c.module, c.cache, a, c.p.owner)
   if result.isNil:
     localError(n.info, errCannotInterpretNodeX, renderTree(n))
diff --git a/compiler/semstmts.nim b/compiler/semstmts.nim
index 64449dda4..09631c793 100644
--- a/compiler/semstmts.nim
+++ b/compiler/semstmts.nim
@@ -1621,7 +1621,7 @@ proc semStmtList(c: PContext, n: PNode, flags: TExprFlags): PNode =
             elif expr[2].typ.isUnresolvedStatic:
               inferConceptStaticParam(c, expr[2].typ, expr[1])
               continue
-
+            
           let verdict = semConstExpr(c, n[i])
           if verdict.intVal == 0:
             localError(result.info, "type class predicate failed")
diff --git a/compiler/semtypes.nim b/compiler/semtypes.nim
index bf6c24310..eef83c2a7 100644
--- a/compiler/semtypes.nim
+++ b/compiler/semtypes.nim
@@ -195,6 +195,7 @@ proc semRangeAux(c: PContext, n: PNode, prev: PType): PType =
   for i in 0..1:
     if hasGenericArguments(range[i]):
       result.n.addSon makeStaticExpr(c, range[i])
+      result.flags.incl tfUnresolved
     else:
       result.n.addSon semConstExpr(c, range[i])
 
diff --git a/compiler/semtypinst.nim b/compiler/semtypinst.nim
index 7e114afb8..9e72e46f6 100644
--- a/compiler/semtypinst.nim
+++ b/compiler/semtypinst.nim
@@ -445,7 +445,7 @@ proc replaceTypeVarsTAux(cl: var TReplTypeVars, t: PType): PType =
     elif t.sons[0].kind != tyNone:
       result = makeTypeDesc(cl.c, replaceTypeVarsT(cl, t.sons[0]))
 
-  of tyUserTypeClass:
+  of tyUserTypeClass, tyStatic:
     result = t
 
   of tyGenericInst, tyUserTypeClassInst:
@@ -502,8 +502,9 @@ proc initTypeVars*(p: PContext, pt: TIdTable, info: TLineInfo;
   result.owner = owner
 
 proc replaceTypesInBody*(p: PContext, pt: TIdTable, n: PNode;
-                         owner: PSym): PNode =
+                         owner: PSym, allowMetaTypes = false): PNode =
   var cl = initTypeVars(p, pt, n.info, owner)
+  cl.allowMetaTypes = allowMetaTypes
   pushInfoContext(n.info)
   result = replaceTypeVarsN(cl, n)
   popInfoContext()
diff --git a/compiler/sigmatch.nim b/compiler/sigmatch.nim
index 162385e6d..ca9cdcaf8 100644
--- a/compiler/sigmatch.nim
+++ b/compiler/sigmatch.nim
@@ -681,16 +681,125 @@ proc maybeSkipDistinct(t: PType, callee: PSym): PType =
   else:
     result = t
 
-proc tryResolvingStaticExpr(c: var TCandidate, n: PNode): PNode =
+proc tryResolvingStaticExpr(c: var TCandidate, n: PNode,
+                            allowUnresolved = false): PNode =
   # Consider this example:
   #   type Value[N: static[int]] = object
   #   proc foo[N](a: Value[N], r: range[0..(N-1)])
   # Here, N-1 will be initially nkStaticExpr that can be evaluated only after
   # N is bound to a concrete value during the matching of the first param.
   # This proc is used to evaluate such static expressions.
-  let instantiated = replaceTypesInBody(c.c, c.bindings, n, nil)
+  let instantiated = replaceTypesInBody(c.c, c.bindings, n, nil,
+                                        allowMetaTypes = allowUnresolved)
   result = c.c.semExpr(c.c, instantiated)
 
+proc inferStaticParam*(lhs: PNode, rhs: BiggestInt): PType =
+  # This is a simple integer arithimetic equation solver,
+  # capable of deriving the value of a static parameter in
+  # expressions such as (N + 5) / 2 = rhs
+  #
+  # Preconditions:
+  #
+  #   * The input of this proc must be semantized 
+  #     - all templates should be expanded
+  #     - aby constant folding possible should already be performed
+  #
+  #   * There must be exactly one unresolved static parameter
+  #
+  # Result:
+  #
+  #   The proc will return the inferred static type with the `n` field
+  #   populated with the inferred value.
+  #
+  #   `nil` will be returned if the inference was not possible
+  #
+  if lhs.kind in nkCallKinds and lhs[0].kind == nkSym:
+    case lhs[0].sym.magic
+    of mUnaryLt:
+      return inferStaticParam(lhs[1], rhs + 1)
+
+    of mAddI, mAddU, mInc, mSucc:
+      if lhs[1].kind == nkIntLit:
+        return inferStaticParam(lhs[2], rhs - lhs[1].intVal)
+      elif lhs[2].kind == nkIntLit:
+        return inferStaticParam(lhs[1], rhs - lhs[2].intVal)
+    
+    of mDec, mSubI, mSubU, mPred:
+      if lhs[1].kind == nkIntLit:
+        return inferStaticParam(lhs[2], lhs[1].intVal - rhs)
+      elif lhs[2].kind == nkIntLit:
+        return inferStaticParam(lhs[1], rhs + lhs[2].intVal)
+    
+    of mMulI, mMulU:
+      if lhs[1].kind == nkIntLit:
+        if rhs mod lhs[1].intVal == 0:
+          return inferStaticParam(lhs[2], rhs div lhs[1].intVal)
+      elif lhs[2].kind == nkIntLit:
+        if rhs mod lhs[2].intVal == 0:
+          return inferStaticParam(lhs[1], rhs div lhs[2].intVal)
+    
+    of mDivI, mDivU:
+      if lhs[1].kind == nkIntLit:
+        if lhs[1].intVal mod rhs == 0:
+          return inferStaticParam(lhs[2], lhs[1].intVal div rhs)
+      elif lhs[2].kind == nkIntLit:
+        return inferStaticParam(lhs[1], lhs[2].intVal * rhs)
+    
+    of mShlI:
+      if lhs[2].kind == nkIntLit:
+        return inferStaticParam(lhs[1], rhs shr lhs[2].intVal)
+    
+    of mShrI:
+      if lhs[2].kind == nkIntLit:
+        return inferStaticParam(lhs[1], rhs shl lhs[2].intVal)
+    
+    of mUnaryMinusI:
+      return inferStaticParam(lhs[1], -rhs)
+    
+    of mUnaryPlusI, mToInt, mToBiggestInt:
+      return inferStaticParam(lhs[1], rhs)
+    
+    else: discard
+  
+  elif lhs.kind == nkSym and lhs.typ.kind == tyStatic and lhs.typ.n == nil:
+    lhs.typ.n = newIntNode(nkIntLit, rhs)
+    return lhs.typ
+  
+  return nil
+
+proc failureToInferStaticParam(n: PNode) =
+  let staticParam = n.findUnresolvedStatic
+  let name = if staticParam != nil: staticParam.sym.name.s
+             else: "unknown"
+  localError(n.info, errCannotInferStaticParam, name)
+
+proc inferStaticsInRange(c: var TCandidate,
+                         inferred, concrete: PType): TTypeRelation =
+  let lowerBound = tryResolvingStaticExpr(c, inferred.n[0],
+                                          allowUnresolved = true)
+  let upperBound = tryResolvingStaticExpr(c, inferred.n[1],
+                                          allowUnresolved = true)
+  
+  template doInferStatic(c: var TCandidate, e: PNode, r: BiggestInt) =
+    var exp = e
+    var rhs = r
+    var inferred = inferStaticParam(exp, rhs)
+    if inferred != nil:
+      put(c.bindings, inferred, inferred)
+      return isGeneric
+    else:
+      failureToInferStaticParam exp
+
+  if lowerBound.kind == nkIntLit:
+    if upperBound.kind == nkIntLit:
+      if lengthOrd(concrete) == upperBound.intVal - lowerBound.intVal + 1:
+        return isGeneric
+      else:
+        return isNone
+    doInferStatic(c, upperBound, lengthOrd(concrete) + lowerBound.intVal - 1)
+  elif upperBound.kind == nkIntLit:
+    doInferStatic(c, lowerBound, upperBound.intVal + 1 - lengthOrd(concrete))
+
 template subtypeCheck() =
   if result <= isSubrange and f.lastSon.skipTypes(abstractInst).kind in {tyRef, tyPtr, tyVar}:
     result = isNone
@@ -894,34 +1003,10 @@ proc typeRel(c: var TCandidate, f, aOrig: PType, doBind = true): TTypeRelation =
                           a.sons[1].skipTypes({tyTypeDesc}))
       if result < isGeneric: return isNone
       
-      proc inferStaticRange(c: var TCandidate, inferred, concrete: PType) =
-        var (staticT, offset) = inferred.findUnresolvedStaticInRange
-        var
-          replacementT = newTypeWithSons(c.c, tyStatic, @[tyInt.getSysType])
-          concreteUpperBound = concrete.n[1].intVal
-        # we must correct for the off-by-one discrepancy between
-        # ranges and static params:
-        replacementT.n = newIntNode(nkIntLit, concreteUpperBound + offset)
-        if tfInferrableStatic in staticT.flags:
-          staticT.n = replacementT.n
-        put(c.bindings, staticT, replacementT)
-
-      if rangeHasUnresolvedStatic(fRange):
-        if tfUnresolved in fRange.flags:
-          # This is a range from an array instantiated with a generic
-          # static param. We must extract the static param here and bind
-          # it to the size of the currently supplied array.
-          inferStaticRange(c, fRange, aRange)
-          return isGeneric
-
-        let len = tryResolvingStaticExpr(c, fRange.n[1])
-        if len.kind == nkIntLit and len.intVal+1 == lengthOrd(a):
-          return # if we get this far, the result is already good
-        else:
-          return isNone
+      if fRange.rangeHasUnresolvedStatic:
+        return inferStaticsInRange(c, fRange, a)
       elif c.c.inTypeClass > 0 and aRange.rangeHasUnresolvedStatic:
-        inferStaticRange(c, aRange, fRange)
-        return isGeneric
+        return inferStaticsInRange(c, aRange, f)
       elif lengthOrd(fRange) != lengthOrd(a):
         result = isNone
     else: discard
diff --git a/compiler/types.nim b/compiler/types.nim
index be7028f9c..65eb6de61 100644
--- a/compiler/types.nim
+++ b/compiler/types.nim
@@ -63,7 +63,7 @@ const
   abstractVarRange* = {tyGenericInst, tyRange, tyVar, tyDistinct, tyOrdinal,
                        tyTypeDesc, tyAlias, tyInferred}
   abstractInst* = {tyGenericInst, tyDistinct, tyOrdinal, tyTypeDesc, tyAlias,
-                   tyInferred} + tyTypeClasses
+                   tyInferred}
   skipPtrs* = {tyVar, tyPtr, tyRef, tyGenericInst, tyTypeDesc, tyAlias,
                tyInferred}
   # typedescX is used if we're sure tyTypeDesc should be included (or skipped)
diff --git a/doc/manual/generics.txt b/doc/manual/generics.txt
index 962daa9c4..f4afa0d11 100644
--- a/doc/manual/generics.txt
+++ b/doc/manual/generics.txt
@@ -367,8 +367,8 @@ operator and also when types dependent on them are being matched:
     MyConcept[M, N: static[int]; T] = concept x
       x.foo(SquareMatrix[N, T]) is array[M, int]
 
-Nim may include a simple linear equation solver in the future to help us
-infer static params when arithmetic is involved.
+The Nim compiler includes a simple linear equation solver, allowing it to
+infer static params in some situations where integer arithmetic is involved.
 
 Just like in regular type classes, Nim discriminates between ``bind once``
 and ``bind many`` types when matching the concept. You can add the ``distinct``
ref='#n858'>858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178