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+//: Continuations are a powerful primitive for constructing advanced kinds of
+//: control *policies* like back-tracking.
+//:
+//: In Mu, continuations are first-class and delimited, and are constructed
+//: out of two primitives:
+//:
+//:  * 'call-with-continuation-mark' marks the top of the call stack and then
+//:    calls the provided recipe.
+//:  * 'return-continuation-until-mark' copies the top of the stack
+//:    until the mark, and returns it as the result of
+//:    'call-with-continuation-mark' (which might be a distant ancestor on the
+//:    call stack; intervening calls don't return)
+//:
+//: The resulting slice of the stack can now be called just like a regular
+//: recipe.
+//:
+//: See the example programs continuation*.mu to get a sense for the
+//: possibilities.
+//:
+//: Refinements:
+//:  * You can call a single continuation multiple times, and it will preserve
+//:    the state of its local variables at each stack frame between calls.
+//:    The stack frames of a continuation are not destroyed until the
+//:    continuation goes out of scope. See continuation2.mu.
+//:  * 'return-continuation-until-mark' doesn't consume the mark, so you can
+//:    return multiple continuations based on a single mark. In combination
+//:    with the fact that 'return-continuation-until-mark' can return from
+//:    regular calls, just as long as there was an earlier call to
+//:    'call-with-continuation-mark', this gives us a way to create resumable
+//:    recipes. See continuation3.mu.
+//:  * 'return-continuation-until-mark' can take ingredients to return just
+//:    like other 'return' instructions. It just implicitly also returns a
+//:    continuation as the first result. See continuation4.mu.
+//:  * Conversely, you can pass ingredients to a continuation when calling it,
+//:    to make it available to products of 'return-continuation-until-mark'.
+//:    See continuation5.mu.
+//:  * There can be multiple continuation marks on the stack at once;
+//:    'call-with-continuation-mark' and 'return-continuation-until-mark' both
+//:    need to pass in a tag to coordinate on the correct mark. This allows us
+//:    to save multiple continuations for different purposes (say if one is
+//:    for exceptions) with overlapping stack frames. See exception.mu.
+//:
+//: Inspired by James and Sabry, "Yield: Mainstream delimited continuations",
+//: Workshop on the Theory and Practice of Delimited Continuations, 2011.
+//: https://www.cs.indiana.edu/~sabry/papers/yield.pdf
+//:
+//: Caveats:
+//:  * At the moment we can't statically type-check continuations. So we raise
+//:    runtime errors for a call that doesn't return a continuation when the
+//:    caller expects, or one that returns a continuation when the caller
+//:    doesn't expect it. This shouldn't cause memory corruption, though.
+//:    There should still be no way to lookup addresses that aren't allocated.
+
+:(before "End Mu Types Initialization")
+type_ordinal continuation = Type_ordinal["continuation"] = Next_type_ordinal++;
+Type[continuation].name = "continuation";
+
+//: A continuation can be called like a recipe.
+:(before "End is_mu_recipe Atom Cases(r)")
+if (r.type->name == "continuation") return true;
+
+//: However, it can't be type-checked like most recipes. Pretend it's like a
+//: header-less recipe.
+:(after "Begin Reagent->Recipe(r, recipe_header)")
+if (r.type->atom && r.type->name == "continuation") {
+  result_header.has_header = false;
+  return result_header;
+}
+
+:(code)
+void test_delimited_continuation() {
+  run(
+      "recipe main [\n"
+      "  1:continuation <- call-with-continuation-mark 233/mark, f, 77\n"  // 77 is an argument to f
+      "  2:num <- copy 5\n"
+      "  {\n"
+      "    2:num <- call 1:continuation, 2:num\n"  // jump to 'return-continuation-until-mark' below
+      "    3:bool <- greater-or-equal 2:num, 8\n"
+      "    break-if 3:bool\n"
+      "    loop\n"
+      "  }\n"
+      "]\n"
+      "recipe f [\n"
+      "  11:num <- next-ingredient\n"
+      "  12:num <- g 11:num\n"
+      "  return 12:num\n"
+      "]\n"
+      "recipe g [\n"
+      "  21:num <- next-ingredient\n"
+      "  22:num <- return-continuation-until-mark 233/mark\n"
+      "  23:num <- add 22:num, 1\n"
+      "  return 23:num\n"
+      "]\n"
+  );
+  // first call of 'g' executes the part before return-continuation-until-mark
+  CHECK_TRACE_CONTENTS(
+      // first call of 'g' executes the part before return-continuation-until-mark
+      "mem: storing 77 in location 21\n"
+      "run: {2: \"number\"} <- copy {5: \"literal\"}\n"
+      "mem: storing 5 in location 2\n"
+      // calls of the continuation execute the part after return-continuation-until-mark
+      "run: {2: \"number\"} <- call {1: \"continuation\"}, {2: \"number\"}\n"
+      "mem: storing 5 in location 22\n"
+      "mem: storing 6 in location 2\n"
+      "run: {2: \"number\"} <- call {1: \"continuation\"}, {2: \"number\"}\n"
+      "mem: storing 6 in location 22\n"
+      "mem: storing 7 in location 2\n"
+      "run: {2: \"number\"} <- call {1: \"continuation\"}, {2: \"number\"}\n"
+      "mem: storing 7 in location 22\n"
+      "mem: storing 8 in location 2\n"
+  );
+  // first call of 'g' does not execute the part after return-continuation-until-mark
+  CHECK_TRACE_DOESNT_CONTAIN("mem: storing 77 in location 22");
+  // calls of the continuation don't execute the part before return-continuation-until-mark
+  CHECK_TRACE_DOESNT_CONTAIN("mem: storing 5 in location 21");
+  CHECK_TRACE_DOESNT_CONTAIN("mem: storing 6 in location 21");
+  CHECK_TRACE_DOESNT_CONTAIN("mem: storing 7 in location 21");
+  // termination
+  CHECK_TRACE_DOESNT_CONTAIN("mem: storing 9 in location 2");
+}
+
+:(before "End call Fields")
+int continuation_mark_tag;
+:(before "End call Constructor")
+continuation_mark_tag = 0;
+
+:(before "End Primitive Recipe Declarations")
+CALL_WITH_CONTINUATION_MARK,
+:(before "End Primitive Recipe Numbers")
+Recipe_ordinal["call-with-continuation-mark"] = CALL_WITH_CONTINUATION_MARK;
+:(before "End Primitive Recipe Checks")
+case CALL_WITH_CONTINUATION_MARK: {
+  if (SIZE(inst.ingredients) < 2) {
+    raise << maybe(get(Recipe, r).name) << "'" << to_original_string(inst) << "' requires at least two ingredients: a mark number and a recipe to call\n" << end();
+  }
+  break;
+}
+:(before "End Primitive Recipe Implementations")
+case CALL_WITH_CONTINUATION_MARK: {
+  // like call, but mark the current call as a 'base of continuation' call
+  // before pushing the next one on it
+  trace(Callstack_depth+1, "trace") << "delimited continuation; incrementing callstack depth to " << Callstack_depth << end();
+  ++Callstack_depth;
+  assert(Callstack_depth < Max_depth);
+  instruction/*copy*/ caller_instruction = current_instruction();
+  Current_routine->calls.front().continuation_mark_tag = current_instruction().ingredients.at(0).value;
+  Current_routine->calls.push_front(call(ingredients.at(1).at(0)));
+  // drop the mark
+  caller_instruction.ingredients.erase(caller_instruction.ingredients.begin());
+  ingredients.erase(ingredients.begin());
+  // drop the callee
+  caller_instruction.ingredients.erase(caller_instruction.ingredients.begin());
+  ingredients.erase(ingredients.begin());
+  finish_call_housekeeping(caller_instruction, ingredients);
+  continue;
+}
+
+:(code)
+void test_next_ingredient_inside_continuation() {
+  run(
+      "recipe main [\n"
+      "  call-with-continuation-mark 233/mark, f, true\n"
+      "]\n"
+      "recipe f [\n"
+      "  10:bool <- next-input\n"
+      "]\n"
+  );
+  CHECK_TRACE_CONTENTS(
+      "mem: storing 1 in location 10\n"
+  );
+}
+
+void test_delimited_continuation_out_of_recipe_variable() {
+  run(
+      "recipe main [\n"
+      "  x:recipe <- copy f\n"
+      "  call-with-continuation-mark 233/mark, x, true\n"
+      "]\n"
+      "recipe f [\n"
+      "  10:bool <- next-input\n"
+      "]\n"
+  );
+  CHECK_TRACE_CONTENTS(
+      "mem: storing 1 in location 10\n"
+  );
+}
+
+//: save the slice of current call stack until the 'call-with-continuation-mark'
+//: call, and return it as the result.
+//: todo: implement delimited continuations in Mu's memory
+:(before "End Types")
+struct delimited_continuation {
+  call_stack frames;
+  int nrefs;
+  delimited_continuation(call_stack::iterator begin, call_stack::iterator end) :frames(call_stack(begin, end)), nrefs(0) {}
+};
+:(before "End Globals")
+map<long long int, delimited_continuation> Delimited_continuation;
+long long int Next_delimited_continuation_id = 1;  // 0 is null just like an address
+:(before "End Reset")
+Delimited_continuation.clear();
+Next_delimited_continuation_id = 1;
+
+:(before "End Primitive Recipe Declarations")
+RETURN_CONTINUATION_UNTIL_MARK,
+:(before "End Primitive Recipe Numbers")
+Recipe_ordinal["return-continuation-until-mark"] = RETURN_CONTINUATION_UNTIL_MARK;
+:(before "End Primitive Recipe Checks")
+case RETURN_CONTINUATION_UNTIL_MARK: {
+  if (inst.ingredients.empty()) {
+    raise << maybe(get(Recipe, r).name) << "'" << to_original_string(inst) << "' requires at least one ingredient: a mark tag (number)\n" << end();
+  }
+  break;
+}
+:(before "End Primitive Recipe Implementations")
+case RETURN_CONTINUATION_UNTIL_MARK: {
+  // I don't know how to think about next-ingredient in combination with
+  // continuations, so seems cleaner to just kill it. Functions have to read
+  // their inputs before ever returning a continuation.
+  Current_routine->calls.front().ingredient_atoms.clear();
+  Current_routine->calls.front().next_ingredient_to_process = 0;
+  // copy the current call stack until the most recent marked call
+  call_stack::iterator find_base_of_continuation(call_stack&, int);  // manual prototype containing '::'
+  call_stack::iterator base = find_base_of_continuation(Current_routine->calls, /*mark tag*/current_instruction().ingredients.at(0).value);
+  if (base == Current_routine->calls.end()) {
+    raise << maybe(current_recipe_name()) << "couldn't find a 'call-with-continuation-mark' to return to with tag " << current_instruction().ingredients.at(0).original_string << '\n' << end();
+    raise << maybe(current_recipe_name()) << "call stack:\n" << end();
+    for (call_stack::iterator p = Current_routine->calls.begin();  p != Current_routine->calls.end();  ++p)
+      raise << maybe(current_recipe_name()) << "  " << get(Recipe, p->running_recipe).name << '\n' << end();
+    break;
+  }
+  trace(Callstack_depth+1, "run") << "creating continuation " << Next_delimited_continuation_id << end();
+  put(Delimited_continuation, Next_delimited_continuation_id, delimited_continuation(Current_routine->calls.begin(), base));
+  while (Current_routine->calls.begin() != base) {
+    --Callstack_depth;
+    assert(Callstack_depth >= 0);
+    Current_routine->calls.pop_front();
+  }
+  // return it as the result of the marked call
+  products.resize(1);
+  products.at(0).push_back(Next_delimited_continuation_id);
+  // return any other ingredients passed in
+  copy(/*skip mark tag*/++ingredients.begin(), ingredients.end(), inserter(products, products.end()));
+  ++Next_delimited_continuation_id;
+  break;  // continue to process rest of marked call
+}
+
+:(code)
+call_stack::iterator find_base_of_continuation(call_stack& c, int mark_tag) {
+  for (call_stack::iterator p = c.begin(); p != c.end(); ++p)
+    if (p->continuation_mark_tag == mark_tag) return p;
+  return c.end();
+}
+
+//: overload 'call' for continuations
+:(after "Begin Call")
+if (is_mu_continuation(current_instruction().ingredients.at(0))) {
+  // copy multiple calls on to current call stack
+  assert(scalar(ingredients.at(0)));
+  trace(Callstack_depth+1, "run") << "calling continuation " << ingredients.at(0).at(0) << end();
+  if (!contains_key(Delimited_continuation, ingredients.at(0).at(0)))
+    raise << maybe(current_recipe_name()) << "no such delimited continuation " << current_instruction().ingredients.at(0).original_string << '\n' << end();
+  const call_stack& new_frames = get(Delimited_continuation, ingredients.at(0).at(0)).frames;
+  for (call_stack::const_reverse_iterator p = new_frames.rbegin(); p != new_frames.rend(); ++p)
+    Current_routine->calls.push_front(*p);
+  trace(Callstack_depth+1, "trace") << "calling delimited continuation; growing callstack depth to " << Callstack_depth+SIZE(new_frames) << end();
+  Callstack_depth += SIZE(new_frames);
+  assert(Callstack_depth < Max_depth);
+  // no call housekeeping; continuations don't support next-ingredient
+  copy(/*drop continuation*/++ingredients.begin(), ingredients.end(), inserter(products, products.begin()));
+  break;  // record results of resuming 'return-continuation-until-mark' instruction
+}
+
+:(code)
+void test_continuations_can_return_values() {
+  run(
+      "def main [\n"
+      "  local-scope\n"
+      "  k:continuation, 1:num/raw <- call-with-continuation-mark 233/mark, f\n"
+      "]\n"
+      "def f [\n"
+      "  local-scope\n"
+      "  g\n"
+      "]\n"
+      "def g [\n"
+      "  local-scope\n"
+      "  return-continuation-until-mark 233/mark, 34\n"
+      "  stash [continuation called]\n"
+      "]\n"
+  );
+  CHECK_TRACE_CONTENTS(
+      "mem: storing 34 in location 1\n"
+  );
+}
+
+void test_continuations_continue_to_matching_mark() {
+  run(
+      "def main [\n"
+      "  local-scope\n"
+      "  k:continuation, 1:num/raw <- call-with-continuation-mark 233/mark, f\n"
+      "  add 1, 1\n"
+      "]\n"
+      "def f [\n"
+      "  local-scope\n"
+      "  k2:continuation <- call-with-continuation-mark 234/mark, g\n"
+      "  add 2, 2\n"
+      "]\n"
+      "def g [\n"
+      "  local-scope\n"
+      "  return-continuation-until-mark 233/mark, 34\n"
+      "  stash [continuation called]\n"
+      "]\n"
+  );
+  CHECK_TRACE_CONTENTS(
+      "run: add {1: \"literal\"}, {1: \"literal\"}\n"
+  );
+  CHECK_TRACE_DOESNT_CONTAIN("run: add {2: \"literal\"}, {2: \"literal\"}");
+}
+
+//: Allow shape-shifting recipes to return continuations.
+
+void test_call_shape_shifting_recipe_with_continuation_mark() {
+  run(
+      "def main [\n"
+      "  1:num <- call-with-continuation-mark 233/mark, f, 34\n"
+      "]\n"
+      "def f x:_elem -> y:_elem [\n"
+      "  local-scope\n"
+      "  load-ingredients\n"
+      "  y <- copy x\n"
+      "]\n"
+  );
+  CHECK_TRACE_CONTENTS(
+      "mem: storing 34 in location 1\n"
+  );
+}
+
+:(before "End resolve_ambiguous_call(r, index, inst, caller_recipe) Special-cases")
+if (inst.name == "call-with-continuation-mark") {
+  if (SIZE(inst.ingredients) > 1 && is_recipe_literal(inst.ingredients.at(/*skip mark*/1))) {
+  resolve_indirect_continuation_call(r, index, inst, caller_recipe);
+  return;
+  }
+}
+:(code)
+void resolve_indirect_continuation_call(const recipe_ordinal r, int index, instruction& inst, const recipe& caller_recipe) {
+  instruction inst2;
+  inst2.name = inst.ingredients.at(/*skip mark*/1).name;
+  for (int i = /*skip mark and recipe*/2;  i < SIZE(inst.ingredients);  ++i)
+    inst2.ingredients.push_back(inst.ingredients.at(i));
+  for (int i = /*skip continuation*/1;  i < SIZE(inst.products);  ++i)
+    inst2.products.push_back(inst.products.at(i));
+  resolve_ambiguous_call(r, index, inst2, caller_recipe);
+  inst.ingredients.at(/*skip mark*/1).name = inst2.name;
+  inst.ingredients.at(/*skip mark*/1).set_value(get(Recipe_ordinal, inst2.name));
+}
+
+void test_call_shape_shifting_recipe_with_continuation_mark_and_no_outputs() {
+  run(
+      "def main [\n"
+      "  1:continuation <- call-with-continuation-mark 233/mark, f, 34\n"
+      "]\n"
+      "def f x:_elem [\n"
+      "  local-scope\n"
+      "  load-ingredients\n"
+      "  return-continuation-until-mark 233/mark\n"
+      "]\n"
+  );
+  CHECK_TRACE_COUNT("error", 0);
+}
+
+void test_continuation1() {
+  run(
+      "def main [\n"
+      "  local-scope\n"
+      "  k:continuation <- call-with-continuation-mark 233/mark, create-yielder\n"
+      "  10:num/raw <- call k\n"
+      "]\n"
+      "def create-yielder -> n:num [\n"
+      "  local-scope\n"
+      "  load-inputs\n"
+      "  return-continuation-until-mark 233/mark\n"
+      "  return 1\n"
+      "]\n"
+  );
+  CHECK_TRACE_CONTENTS(
+      "mem: storing 1 in location 10\n"
+  );
+  CHECK_TRACE_COUNT("error", 0);
+}
+
+:(code)
+bool is_mu_continuation(reagent/*copy*/ x) {
+  canonize_type(x);
+  return x.type && x.type->atom && x.type->value == get(Type_ordinal, "continuation");
+}
+
+// helper for debugging
+void dump(const int continuation_id) {
+  if (!contains_key(Delimited_continuation, continuation_id)) {
+    raise << "missing delimited continuation: " << continuation_id << '\n' << end();
+    return;
+  }
+  delimited_continuation& curr = get(Delimited_continuation, continuation_id);
+  dump(curr.frames);
+}