infer.go raw

   1  // Code generated by "go test -run=Generate -write=all"; DO NOT EDIT.
   2  // Source: ../../cmd/compile/internal/types2/infer.go
   3  
   4  // Copyright 2018 The Go Authors. All rights reserved.
   5  // Use of this source code is governed by a BSD-style
   6  // license that can be found in the LICENSE file.
   7  
   8  // This file implements type parameter inference.
   9  
  10  package types
  11  
  12  import (
  13  	"fmt"
  14  	"go/token"
  15  	"slices"
  16  	"strings"
  17  )
  18  
  19  // If enableReverseTypeInference is set, uninstantiated and
  20  // partially instantiated generic functions may be assigned
  21  // (incl. returned) to variables of function type and type
  22  // inference will attempt to infer the missing type arguments.
  23  // Available with go1.21.
  24  const enableReverseTypeInference = true // disable for debugging
  25  
  26  // infer attempts to infer the complete set of type arguments for generic function instantiation/call
  27  // based on the given type parameters tparams, type arguments targs, function parameters params, and
  28  // function arguments args, if any. There must be at least one type parameter, no more type arguments
  29  // than type parameters, and params and args must match in number (incl. zero).
  30  // If reverse is set, an error message's contents are reversed for a better error message for some
  31  // errors related to reverse type inference (where the function call is synthetic).
  32  // If successful, infer returns the complete list of given and inferred type arguments, one for each
  33  // type parameter. Otherwise the result is nil. Errors are reported through the err parameter.
  34  // Note: infer may fail (return nil) due to invalid args operands without reporting additional errors.
  35  func (check *Checker) infer(posn positioner, tparams []*TypeParam, targs []Type, params *Tuple, args []*operand, reverse bool, err *error_) (inferred []Type) {
  36  	// Don't verify result conditions if there's no error handler installed:
  37  	// in that case, an error leads to an exit panic and the result value may
  38  	// be incorrect. But in that case it doesn't matter because callers won't
  39  	// be able to use it either.
  40  	if check.conf.Error != nil {
  41  		defer func() {
  42  			assert(inferred == nil || len(inferred) == len(tparams) && !slices.Contains(inferred, nil))
  43  		}()
  44  	}
  45  
  46  	if traceInference {
  47  		check.dump("== infer : %s%s ➞ %s", tparams, params, targs) // aligned with rename print below
  48  		defer func() {
  49  			check.dump("=> %s ➞ %s\n", tparams, inferred)
  50  		}()
  51  	}
  52  
  53  	// There must be at least one type parameter, and no more type arguments than type parameters.
  54  	n := len(tparams)
  55  	assert(n > 0 && len(targs) <= n)
  56  
  57  	// Parameters and arguments must match in number.
  58  	assert(params.Len() == len(args))
  59  
  60  	// If we already have all type arguments, we're done.
  61  	if len(targs) == n && !slices.Contains(targs, nil) {
  62  		return targs
  63  	}
  64  
  65  	// If we have invalid (ordinary) arguments, an error was reported before.
  66  	// Avoid additional inference errors and exit early (go.dev/issue/60434).
  67  	for _, arg := range args {
  68  		if arg.mode == invalid {
  69  			return nil
  70  		}
  71  	}
  72  
  73  	// Make sure we have a "full" list of type arguments, some of which may
  74  	// be nil (unknown). Make a copy so as to not clobber the incoming slice.
  75  	if len(targs) < n {
  76  		targs2 := make([]Type, n)
  77  		copy(targs2, targs)
  78  		targs = targs2
  79  	}
  80  	// len(targs) == n
  81  
  82  	// Continue with the type arguments we have. Avoid matching generic
  83  	// parameters that already have type arguments against function arguments:
  84  	// It may fail because matching uses type identity while parameter passing
  85  	// uses assignment rules. Instantiate the parameter list with the type
  86  	// arguments we have, and continue with that parameter list.
  87  
  88  	// Substitute type arguments for their respective type parameters in params,
  89  	// if any. Note that nil targs entries are ignored by check.subst.
  90  	// We do this for better error messages; it's not needed for correctness.
  91  	// For instance, given:
  92  	//
  93  	//   func f[P, Q any](P, Q) {}
  94  	//
  95  	//   func _(s string) {
  96  	//           f[int](s, s) // ERROR
  97  	//   }
  98  	//
  99  	// With substitution, we get the error:
 100  	//   "cannot use s (variable of type string) as int value in argument to f[int]"
 101  	//
 102  	// Without substitution we get the (worse) error:
 103  	//   "type string of s does not match inferred type int for P"
 104  	// even though the type int was provided (not inferred) for P.
 105  	//
 106  	// TODO(gri) We might be able to finesse this in the error message reporting
 107  	//           (which only happens in case of an error) and then avoid doing
 108  	//           the substitution (which always happens).
 109  	if params.Len() > 0 {
 110  		smap := makeSubstMap(tparams, targs)
 111  		params = check.subst(nopos, params, smap, nil, check.context()).(*Tuple)
 112  	}
 113  
 114  	// Unify parameter and argument types for generic parameters with typed arguments
 115  	// and collect the indices of generic parameters with untyped arguments.
 116  	// Terminology: generic parameter = function parameter with a type-parameterized type
 117  	u := newUnifier(tparams, targs, check.allowVersion(go1_21))
 118  
 119  	errorf := func(tpar, targ Type, arg *operand) {
 120  		// provide a better error message if we can
 121  		targs := u.inferred(tparams)
 122  		if targs[0] == nil {
 123  			// The first type parameter couldn't be inferred.
 124  			// If none of them could be inferred, don't try
 125  			// to provide the inferred type in the error msg.
 126  			allFailed := true
 127  			for _, targ := range targs {
 128  				if targ != nil {
 129  					allFailed = false
 130  					break
 131  				}
 132  			}
 133  			if allFailed {
 134  				err.addf(arg, "type %s of %s does not match %s (cannot infer %s)", targ, arg.expr, tpar, typeParamsString(tparams))
 135  				return
 136  			}
 137  		}
 138  		smap := makeSubstMap(tparams, targs)
 139  		// TODO(gri): pass a poser here, rather than arg.Pos().
 140  		inferred := check.subst(arg.Pos(), tpar, smap, nil, check.context())
 141  		// CannotInferTypeArgs indicates a failure of inference, though the actual
 142  		// error may be better attributed to a user-provided type argument (hence
 143  		// InvalidTypeArg). We can't differentiate these cases, so fall back on
 144  		// the more general CannotInferTypeArgs.
 145  		if inferred != tpar {
 146  			if reverse {
 147  				err.addf(arg, "inferred type %s for %s does not match type %s of %s", inferred, tpar, targ, arg.expr)
 148  			} else {
 149  				err.addf(arg, "type %s of %s does not match inferred type %s for %s", targ, arg.expr, inferred, tpar)
 150  			}
 151  		} else {
 152  			err.addf(arg, "type %s of %s does not match %s", targ, arg.expr, tpar)
 153  		}
 154  	}
 155  
 156  	// indices of generic parameters with untyped arguments, for later use
 157  	var untyped []int
 158  
 159  	// --- 1 ---
 160  	// use information from function arguments
 161  
 162  	if traceInference {
 163  		u.tracef("== function parameters: %s", params)
 164  		u.tracef("-- function arguments : %s", args)
 165  	}
 166  
 167  	for i, arg := range args {
 168  		if arg.mode == invalid {
 169  			// An error was reported earlier. Ignore this arg
 170  			// and continue, we may still be able to infer all
 171  			// targs resulting in fewer follow-on errors.
 172  			// TODO(gri) determine if we still need this check
 173  			continue
 174  		}
 175  		par := params.At(i)
 176  		if isParameterized(tparams, par.typ) || isParameterized(tparams, arg.typ) {
 177  			// Function parameters are always typed. Arguments may be untyped.
 178  			// Collect the indices of untyped arguments and handle them later.
 179  			if isTyped(arg.typ) {
 180  				if !u.unify(par.typ, arg.typ, assign) {
 181  					errorf(par.typ, arg.typ, arg)
 182  					return nil
 183  				}
 184  			} else if _, ok := par.typ.(*TypeParam); ok && !arg.isNil() {
 185  				// Since default types are all basic (i.e., non-composite) types, an
 186  				// untyped argument will never match a composite parameter type; the
 187  				// only parameter type it can possibly match against is a *TypeParam.
 188  				// Thus, for untyped arguments we only need to look at parameter types
 189  				// that are single type parameters.
 190  				// Also, untyped nils don't have a default type and can be ignored.
 191  				// Finally, it's not possible to have an alias type denoting a type
 192  				// parameter declared by the current function and use it in the same
 193  				// function signature; hence we don't need to Unalias before the
 194  				// .(*TypeParam) type assertion above.
 195  				untyped = append(untyped, i)
 196  			}
 197  		}
 198  	}
 199  
 200  	if traceInference {
 201  		inferred := u.inferred(tparams)
 202  		u.tracef("=> %s ➞ %s\n", tparams, inferred)
 203  	}
 204  
 205  	// --- 2 ---
 206  	// use information from type parameter constraints
 207  
 208  	if traceInference {
 209  		u.tracef("== type parameters: %s", tparams)
 210  	}
 211  
 212  	// Unify type parameters with their constraints as long
 213  	// as progress is being made.
 214  	//
 215  	// This is an O(n^2) algorithm where n is the number of
 216  	// type parameters: if there is progress, at least one
 217  	// type argument is inferred per iteration, and we have
 218  	// a doubly nested loop.
 219  	//
 220  	// In practice this is not a problem because the number
 221  	// of type parameters tends to be very small (< 5 or so).
 222  	// (It should be possible for unification to efficiently
 223  	// signal newly inferred type arguments; then the loops
 224  	// here could handle the respective type parameters only,
 225  	// but that will come at a cost of extra complexity which
 226  	// may not be worth it.)
 227  	for i := 0; ; i++ {
 228  		nn := u.unknowns()
 229  		if traceInference {
 230  			if i > 0 {
 231  				fmt.Println()
 232  			}
 233  			u.tracef("-- iteration %d", i)
 234  		}
 235  
 236  		for _, tpar := range tparams {
 237  			tx := u.at(tpar)
 238  			core, single := coreTerm(tpar)
 239  			if traceInference {
 240  				u.tracef("-- type parameter %s = %s: core(%s) = %s, single = %v", tpar, tx, tpar, core, single)
 241  			}
 242  
 243  			// If the type parameter's constraint has a core term (i.e., a core type with tilde information)
 244  			// try to unify the type parameter with that core type.
 245  			if core != nil {
 246  				// A type parameter can be unified with its constraint's core type in two cases.
 247  				switch {
 248  				case tx != nil:
 249  					if traceInference {
 250  						u.tracef("-> unify type parameter %s (type %s) with constraint core type %s", tpar, tx, core.typ)
 251  					}
 252  					// The corresponding type argument tx is known. There are 2 cases:
 253  					// 1) If the core type has a tilde, per spec requirement for tilde
 254  					//    elements, the core type is an underlying (literal) type.
 255  					//    And because of the tilde, the underlying type of tx must match
 256  					//    against the core type.
 257  					//    But because unify automatically matches a defined type against
 258  					//    an underlying literal type, we can simply unify tx with the
 259  					//    core type.
 260  					// 2) If the core type doesn't have a tilde, we also must unify tx
 261  					//    with the core type.
 262  					if !u.unify(tx, core.typ, 0) {
 263  						// TODO(gri) Type parameters that appear in the constraint and
 264  						//           for which we have type arguments inferred should
 265  						//           use those type arguments for a better error message.
 266  						err.addf(posn, "%s (type %s) does not satisfy %s", tpar, tx, tpar.Constraint())
 267  						return nil
 268  					}
 269  				case single && !core.tilde:
 270  					if traceInference {
 271  						u.tracef("-> set type parameter %s to constraint's common underlying type %s", tpar, core.typ)
 272  					}
 273  					// The corresponding type argument tx is unknown and the core term
 274  					// describes a single specific type and no tilde.
 275  					// In this case the type argument must be that single type; set it.
 276  					u.set(tpar, core.typ)
 277  				}
 278  			}
 279  
 280  			// Independent of whether there is a core term, if the type argument tx is known
 281  			// it must implement the methods of the type constraint, possibly after unification
 282  			// of the relevant method signatures, otherwise tx cannot satisfy the constraint.
 283  			// This unification step may provide additional type arguments.
 284  			//
 285  			// Note: The type argument tx may be known but contain references to other type
 286  			// parameters (i.e., tx may still be parameterized).
 287  			// In this case the methods of tx don't correctly reflect the final method set
 288  			// and we may get a missing method error below. Skip this step in this case.
 289  			//
 290  			// TODO(gri) We should be able continue even with a parameterized tx if we add
 291  			// a simplify step beforehand (see below). This will require factoring out the
 292  			// simplify phase so we can call it from here.
 293  			if tx != nil && !isParameterized(tparams, tx) {
 294  				if traceInference {
 295  					u.tracef("-> unify type parameter %s (type %s) methods with constraint methods", tpar, tx)
 296  				}
 297  				// TODO(gri) Now that unification handles interfaces, this code can
 298  				//           be reduced to calling u.unify(tx, tpar.iface(), assign)
 299  				//           (which will compare signatures exactly as we do below).
 300  				//           We leave it as is for now because missingMethod provides
 301  				//           a failure cause which allows for a better error message.
 302  				//           Eventually, unify should return an error with cause.
 303  				var cause string
 304  				constraint := tpar.iface()
 305  				if !check.hasAllMethods(tx, constraint, true, func(x, y Type) bool { return u.unify(x, y, exact) }, &cause) {
 306  					// TODO(gri) better error message (see TODO above)
 307  					err.addf(posn, "%s (type %s) does not satisfy %s %s", tpar, tx, tpar.Constraint(), cause)
 308  					return nil
 309  				}
 310  			}
 311  		}
 312  
 313  		if u.unknowns() == nn {
 314  			break // no progress
 315  		}
 316  	}
 317  
 318  	if traceInference {
 319  		inferred := u.inferred(tparams)
 320  		u.tracef("=> %s ➞ %s\n", tparams, inferred)
 321  	}
 322  
 323  	// --- 3 ---
 324  	// use information from untyped constants
 325  
 326  	if traceInference {
 327  		u.tracef("== untyped arguments: %v", untyped)
 328  	}
 329  
 330  	// Some generic parameters with untyped arguments may have been given a type by now.
 331  	// Collect all remaining parameters that don't have a type yet and determine the
 332  	// maximum untyped type for each of those parameters, if possible.
 333  	var maxUntyped map[*TypeParam]Type // lazily allocated (we may not need it)
 334  	for _, index := range untyped {
 335  		tpar := params.At(index).typ.(*TypeParam) // is type parameter (no alias) by construction of untyped
 336  		if u.at(tpar) == nil {
 337  			arg := args[index] // arg corresponding to tpar
 338  			if maxUntyped == nil {
 339  				maxUntyped = make(map[*TypeParam]Type)
 340  			}
 341  			max := maxUntyped[tpar]
 342  			if max == nil {
 343  				max = arg.typ
 344  			} else {
 345  				m := maxType(max, arg.typ)
 346  				if m == nil {
 347  					err.addf(arg, "mismatched types %s and %s (cannot infer %s)", max, arg.typ, tpar)
 348  					return nil
 349  				}
 350  				max = m
 351  			}
 352  			maxUntyped[tpar] = max
 353  		}
 354  	}
 355  	// maxUntyped contains the maximum untyped type for each type parameter
 356  	// which doesn't have a type yet. Set the respective default types.
 357  	for tpar, typ := range maxUntyped {
 358  		d := Default(typ)
 359  		assert(isTyped(d))
 360  		u.set(tpar, d)
 361  	}
 362  
 363  	// --- simplify ---
 364  
 365  	// u.inferred(tparams) now contains the incoming type arguments plus any additional type
 366  	// arguments which were inferred. The inferred non-nil entries may still contain
 367  	// references to other type parameters found in constraints.
 368  	// For instance, for [A any, B interface{ []C }, C interface{ *A }], if A == int
 369  	// was given, unification produced the type list [int, []C, *A]. We eliminate the
 370  	// remaining type parameters by substituting the type parameters in this type list
 371  	// until nothing changes anymore.
 372  	inferred = u.inferred(tparams)
 373  	if debug {
 374  		for i, targ := range targs {
 375  			assert(targ == nil || inferred[i] == targ)
 376  		}
 377  	}
 378  
 379  	// The data structure of each (provided or inferred) type represents a graph, where
 380  	// each node corresponds to a type and each (directed) vertex points to a component
 381  	// type. The substitution process described above repeatedly replaces type parameter
 382  	// nodes in these graphs with the graphs of the types the type parameters stand for,
 383  	// which creates a new (possibly bigger) graph for each type.
 384  	// The substitution process will not stop if the replacement graph for a type parameter
 385  	// also contains that type parameter.
 386  	// For instance, for [A interface{ *A }], without any type argument provided for A,
 387  	// unification produces the type list [*A]. Substituting A in *A with the value for
 388  	// A will lead to infinite expansion by producing [**A], [****A], [********A], etc.,
 389  	// because the graph A -> *A has a cycle through A.
 390  	// Generally, cycles may occur across multiple type parameters and inferred types
 391  	// (for instance, consider [P interface{ *Q }, Q interface{ func(P) }]).
 392  	// We eliminate cycles by walking the graphs for all type parameters. If a cycle
 393  	// through a type parameter is detected, killCycles nils out the respective type
 394  	// (in the inferred list) which kills the cycle, and marks the corresponding type
 395  	// parameter as not inferred.
 396  	//
 397  	// TODO(gri) If useful, we could report the respective cycle as an error. We don't
 398  	//           do this now because type inference will fail anyway, and furthermore,
 399  	//           constraints with cycles of this kind cannot currently be satisfied by
 400  	//           any user-supplied type. But should that change, reporting an error
 401  	//           would be wrong.
 402  	killCycles(tparams, inferred)
 403  
 404  	// dirty tracks the indices of all types that may still contain type parameters.
 405  	// We know that nil type entries and entries corresponding to provided (non-nil)
 406  	// type arguments are clean, so exclude them from the start.
 407  	var dirty []int
 408  	for i, typ := range inferred {
 409  		if typ != nil && (i >= len(targs) || targs[i] == nil) {
 410  			dirty = append(dirty, i)
 411  		}
 412  	}
 413  
 414  	for len(dirty) > 0 {
 415  		if traceInference {
 416  			u.tracef("-- simplify %s ➞ %s", tparams, inferred)
 417  		}
 418  		// TODO(gri) Instead of creating a new substMap for each iteration,
 419  		// provide an update operation for substMaps and only change when
 420  		// needed. Optimization.
 421  		smap := makeSubstMap(tparams, inferred)
 422  		n := 0
 423  		for _, index := range dirty {
 424  			t0 := inferred[index]
 425  			if t1 := check.subst(nopos, t0, smap, nil, check.context()); t1 != t0 {
 426  				// t0 was simplified to t1.
 427  				// If t0 was a generic function, but the simplified signature t1 does
 428  				// not contain any type parameters anymore, the function is not generic
 429  				// anymore. Remove its type parameters. (go.dev/issue/59953)
 430  				// Note that if t0 was a signature, t1 must be a signature, and t1
 431  				// can only be a generic signature if it originated from a generic
 432  				// function argument. Those signatures are never defined types and
 433  				// thus there is no need to call under below.
 434  				// TODO(gri) Consider doing this in Checker.subst.
 435  				//           Then this would fall out automatically here and also
 436  				//           in instantiation (where we also explicitly nil out
 437  				//           type parameters). See the *Signature TODO in subst.
 438  				if sig, _ := t1.(*Signature); sig != nil && sig.TypeParams().Len() > 0 && !isParameterized(tparams, sig) {
 439  					sig.tparams = nil
 440  				}
 441  				inferred[index] = t1
 442  				dirty[n] = index
 443  				n++
 444  			}
 445  		}
 446  		dirty = dirty[:n]
 447  	}
 448  
 449  	// Once nothing changes anymore, we may still have type parameters left;
 450  	// e.g., a constraint with core type *P may match a type parameter Q but
 451  	// we don't have any type arguments to fill in for *P or Q (go.dev/issue/45548).
 452  	// Don't let such inferences escape; instead treat them as unresolved.
 453  	for i, typ := range inferred {
 454  		if typ == nil || isParameterized(tparams, typ) {
 455  			obj := tparams[i].obj
 456  			err.addf(posn, "cannot infer %s (declared at %v)", obj.name, obj.pos)
 457  			return nil
 458  		}
 459  	}
 460  
 461  	return
 462  }
 463  
 464  // renameTParams renames the type parameters in the given type such that each type
 465  // parameter is given a new identity. renameTParams returns the new type parameters
 466  // and updated type. If the result type is unchanged from the argument type, none
 467  // of the type parameters in tparams occurred in the type.
 468  // If typ is a generic function, type parameters held with typ are not changed and
 469  // must be updated separately if desired.
 470  // The positions is only used for debug traces.
 471  func (check *Checker) renameTParams(pos token.Pos, tparams []*TypeParam, typ Type) ([]*TypeParam, Type) {
 472  	// For the purpose of type inference we must differentiate type parameters
 473  	// occurring in explicit type or value function arguments from the type
 474  	// parameters we are solving for via unification because they may be the
 475  	// same in self-recursive calls:
 476  	//
 477  	//   func f[P constraint](x P) {
 478  	//           f(x)
 479  	//   }
 480  	//
 481  	// In this example, without type parameter renaming, the P used in the
 482  	// instantiation f[P] has the same pointer identity as the P we are trying
 483  	// to solve for through type inference. This causes problems for type
 484  	// unification. Because any such self-recursive call is equivalent to
 485  	// a mutually recursive call, type parameter renaming can be used to
 486  	// create separate, disentangled type parameters. The above example
 487  	// can be rewritten into the following equivalent code:
 488  	//
 489  	//   func f[P constraint](x P) {
 490  	//           f2(x)
 491  	//   }
 492  	//
 493  	//   func f2[P2 constraint](x P2) {
 494  	//           f(x)
 495  	//   }
 496  	//
 497  	// Type parameter renaming turns the first example into the second
 498  	// example by renaming the type parameter P into P2.
 499  	if len(tparams) == 0 {
 500  		return nil, typ // nothing to do
 501  	}
 502  
 503  	tparams2 := make([]*TypeParam, len(tparams))
 504  	for i, tparam := range tparams {
 505  		tname := NewTypeName(tparam.Obj().Pos(), tparam.Obj().Pkg(), tparam.Obj().Name(), nil)
 506  		tparams2[i] = NewTypeParam(tname, nil)
 507  		tparams2[i].index = tparam.index // == i
 508  	}
 509  
 510  	renameMap := makeRenameMap(tparams, tparams2)
 511  	for i, tparam := range tparams {
 512  		tparams2[i].bound = check.subst(pos, tparam.bound, renameMap, nil, check.context())
 513  	}
 514  
 515  	return tparams2, check.subst(pos, typ, renameMap, nil, check.context())
 516  }
 517  
 518  // typeParamsString produces a string containing all the type parameter names
 519  // in list suitable for human consumption.
 520  func typeParamsString(list []*TypeParam) string {
 521  	// common cases
 522  	n := len(list)
 523  	switch n {
 524  	case 0:
 525  		return ""
 526  	case 1:
 527  		return list[0].obj.name
 528  	case 2:
 529  		return list[0].obj.name + " and " + list[1].obj.name
 530  	}
 531  
 532  	// general case (n > 2)
 533  	var buf strings.Builder
 534  	for i, tname := range list[:n-1] {
 535  		if i > 0 {
 536  			buf.WriteString(", ")
 537  		}
 538  		buf.WriteString(tname.obj.name)
 539  	}
 540  	buf.WriteString(", and ")
 541  	buf.WriteString(list[n-1].obj.name)
 542  	return buf.String()
 543  }
 544  
 545  // isParameterized reports whether typ contains any of the type parameters of tparams.
 546  // If typ is a generic function, isParameterized ignores the type parameter declarations;
 547  // it only considers the signature proper (incoming and result parameters).
 548  func isParameterized(tparams []*TypeParam, typ Type) bool {
 549  	w := tpWalker{
 550  		tparams: tparams,
 551  		seen:    make(map[Type]bool),
 552  	}
 553  	return w.isParameterized(typ)
 554  }
 555  
 556  type tpWalker struct {
 557  	tparams []*TypeParam
 558  	seen    map[Type]bool
 559  }
 560  
 561  func (w *tpWalker) isParameterized(typ Type) (res bool) {
 562  	// detect cycles
 563  	if x, ok := w.seen[typ]; ok {
 564  		return x
 565  	}
 566  	w.seen[typ] = false
 567  	defer func() {
 568  		w.seen[typ] = res
 569  	}()
 570  
 571  	switch t := typ.(type) {
 572  	case *Basic:
 573  		// nothing to do
 574  
 575  	case *Alias:
 576  		return w.isParameterized(Unalias(t))
 577  
 578  	case *Array:
 579  		return w.isParameterized(t.elem)
 580  
 581  	case *Slice:
 582  		return w.isParameterized(t.elem)
 583  
 584  	case *Struct:
 585  		return w.varList(t.fields)
 586  
 587  	case *Pointer:
 588  		return w.isParameterized(t.base)
 589  
 590  	case *Tuple:
 591  		// This case does not occur from within isParameterized
 592  		// because tuples only appear in signatures where they
 593  		// are handled explicitly. But isParameterized is also
 594  		// called by Checker.callExpr with a function result tuple
 595  		// if instantiation failed (go.dev/issue/59890).
 596  		return t != nil && w.varList(t.vars)
 597  
 598  	case *Signature:
 599  		// t.tparams may not be nil if we are looking at a signature
 600  		// of a generic function type (or an interface method) that is
 601  		// part of the type we're testing. We don't care about these type
 602  		// parameters.
 603  		// Similarly, the receiver of a method may declare (rather than
 604  		// use) type parameters, we don't care about those either.
 605  		// Thus, we only need to look at the input and result parameters.
 606  		return t.params != nil && w.varList(t.params.vars) || t.results != nil && w.varList(t.results.vars)
 607  
 608  	case *Interface:
 609  		tset := t.typeSet()
 610  		for _, m := range tset.methods {
 611  			if w.isParameterized(m.typ) {
 612  				return true
 613  			}
 614  		}
 615  		return tset.is(func(t *term) bool {
 616  			return t != nil && w.isParameterized(t.typ)
 617  		})
 618  
 619  	case *Map:
 620  		return w.isParameterized(t.key) || w.isParameterized(t.elem)
 621  
 622  	case *Chan:
 623  		return w.isParameterized(t.elem)
 624  
 625  	case *Named:
 626  		for _, t := range t.TypeArgs().list() {
 627  			if w.isParameterized(t) {
 628  				return true
 629  			}
 630  		}
 631  
 632  	case *TypeParam:
 633  		return slices.Index(w.tparams, t) >= 0
 634  
 635  	default:
 636  		panic(fmt.Sprintf("unexpected %T", typ))
 637  	}
 638  
 639  	return false
 640  }
 641  
 642  func (w *tpWalker) varList(list []*Var) bool {
 643  	for _, v := range list {
 644  		if w.isParameterized(v.typ) {
 645  			return true
 646  		}
 647  	}
 648  	return false
 649  }
 650  
 651  // If the type parameter has a single specific type S, coreTerm returns (S, true).
 652  // Otherwise, if tpar has a core type T, it returns a term corresponding to that
 653  // core type and false. In that case, if any term of tpar has a tilde, the core
 654  // term has a tilde. In all other cases coreTerm returns (nil, false).
 655  func coreTerm(tpar *TypeParam) (*term, bool) {
 656  	n := 0
 657  	var single *term // valid if n == 1
 658  	var tilde bool
 659  	tpar.is(func(t *term) bool {
 660  		if t == nil {
 661  			assert(n == 0)
 662  			return false // no terms
 663  		}
 664  		n++
 665  		single = t
 666  		if t.tilde {
 667  			tilde = true
 668  		}
 669  		return true
 670  	})
 671  	if n == 1 {
 672  		if debug {
 673  			u, _ := commonUnder(tpar, nil)
 674  			assert(under(single.typ) == u)
 675  		}
 676  		return single, true
 677  	}
 678  	if typ, _ := commonUnder(tpar, nil); typ != nil {
 679  		// A core type is always an underlying type.
 680  		// If any term of tpar has a tilde, we don't
 681  		// have a precise core type and we must return
 682  		// a tilde as well.
 683  		return &term{tilde, typ}, false
 684  	}
 685  	return nil, false
 686  }
 687  
 688  // killCycles walks through the given type parameters and looks for cycles
 689  // created by type parameters whose inferred types refer back to that type
 690  // parameter, either directly or indirectly. If such a cycle is detected,
 691  // it is killed by setting the corresponding inferred type to nil.
 692  //
 693  // TODO(gri) Determine if we can simply abort inference as soon as we have
 694  // found a single cycle.
 695  func killCycles(tparams []*TypeParam, inferred []Type) {
 696  	w := cycleFinder{tparams, inferred, make(map[Type]bool)}
 697  	for _, t := range tparams {
 698  		w.typ(t) // t != nil
 699  	}
 700  }
 701  
 702  type cycleFinder struct {
 703  	tparams  []*TypeParam
 704  	inferred []Type
 705  	seen     map[Type]bool
 706  }
 707  
 708  func (w *cycleFinder) typ(typ Type) {
 709  	typ = Unalias(typ)
 710  	if w.seen[typ] {
 711  		// We have seen typ before. If it is one of the type parameters
 712  		// in w.tparams, iterative substitution will lead to infinite expansion.
 713  		// Nil out the corresponding type which effectively kills the cycle.
 714  		if tpar, _ := typ.(*TypeParam); tpar != nil {
 715  			if i := slices.Index(w.tparams, tpar); i >= 0 {
 716  				// cycle through tpar
 717  				w.inferred[i] = nil
 718  			}
 719  		}
 720  		// If we don't have one of our type parameters, the cycle is due
 721  		// to an ordinary recursive type and we can just stop walking it.
 722  		return
 723  	}
 724  	w.seen[typ] = true
 725  	defer delete(w.seen, typ)
 726  
 727  	switch t := typ.(type) {
 728  	case *Basic:
 729  		// nothing to do
 730  
 731  	// *Alias:
 732  	//      This case should not occur because of Unalias(typ) at the top.
 733  
 734  	case *Array:
 735  		w.typ(t.elem)
 736  
 737  	case *Slice:
 738  		w.typ(t.elem)
 739  
 740  	case *Struct:
 741  		w.varList(t.fields)
 742  
 743  	case *Pointer:
 744  		w.typ(t.base)
 745  
 746  	// case *Tuple:
 747  	//      This case should not occur because tuples only appear
 748  	//      in signatures where they are handled explicitly.
 749  
 750  	case *Signature:
 751  		if t.params != nil {
 752  			w.varList(t.params.vars)
 753  		}
 754  		if t.results != nil {
 755  			w.varList(t.results.vars)
 756  		}
 757  
 758  	case *Union:
 759  		for _, t := range t.terms {
 760  			w.typ(t.typ)
 761  		}
 762  
 763  	case *Interface:
 764  		for _, m := range t.methods {
 765  			w.typ(m.typ)
 766  		}
 767  		for _, t := range t.embeddeds {
 768  			w.typ(t)
 769  		}
 770  
 771  	case *Map:
 772  		w.typ(t.key)
 773  		w.typ(t.elem)
 774  
 775  	case *Chan:
 776  		w.typ(t.elem)
 777  
 778  	case *Named:
 779  		for _, tpar := range t.TypeArgs().list() {
 780  			w.typ(tpar)
 781  		}
 782  
 783  	case *TypeParam:
 784  		if i := slices.Index(w.tparams, t); i >= 0 && w.inferred[i] != nil {
 785  			w.typ(w.inferred[i])
 786  		}
 787  
 788  	default:
 789  		panic(fmt.Sprintf("unexpected %T", typ))
 790  	}
 791  }
 792  
 793  func (w *cycleFinder) varList(list []*Var) {
 794  	for _, v := range list {
 795  		w.typ(v.typ)
 796  	}
 797  }
 798