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pre { line-height: 125%; }
td.linenos .normal { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }
span.linenos { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }
td.linenos .special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
span.linenos.special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
.highlight .hll { background-color: #ffffcc }
.highlight .c { color: #888888 } /* Comment */
.highlight .err { color: #a61717; background-color: #e3d2d2 } /* Error */
.highlight .k { color: #008800; font-weight: bold } /* Keyword */
.highlight .ch { color: #888888 } /* Comment.Hashbang */
.highlight .cm { color: #888888 } /* Comment.Multiline */
.highlight .cp { color: #cc0000; font-weight: bold } /* Comment.Preproc */
.highlight .cpf { color: #888888 } /* Comment.PreprocFile */
.highlight .c1 { color: #888888 } /* Comment.Single */
.highlight .cs { color: #cc0000; font-weight: bold; background-color: #fff0f0 } /* Comment.Special */
.highlight .gd { color: #000000; background-color: #ffdddd } /* Generic.Deleted */
.highlight .ge { font-style: italic } /* Generic.Emph */
.highlight .ges { font-weight: bold; font-style: italic } /* Generic.EmphStrong */
.highlight .gr { color: #aa0000 } /* Generic.Error */
.highlight .gh { color: #333333 } /* Generic.Heading */
.highlight .gi { color: #000000; background-color: #ddffdd } /* Generic.Inserted */
.highlight .go { color: #888888 } /* Generic.Output */
.highlight .gp { color: #555555 } /* Generic.Prompt */
.highlight .gs { font-weight: bold } /* Generic.Strong */
.highlight .gu { color: #666666 } /* Generic.Subheading */
.highlight .gt { color: #aa0000 } /* Generic.Traceback */
.highlight .kc { color: #008800; font-weight: bold } /* Keyword.Constant */
.highlight .kd { color: #008800; font-weight: bold } /* Keyword.Declaration */
.highlight .kn { color: #008800; font-weight: bold } /* Keyword.Namespace */
.highlight .kp { color: #008800 } /* Keyword.Pseudo */
.highlight .kr { color: #008800; font-weight: bold } /* Keyword.Reserved */
.highlight .kt { color: #888888; font-weight: bold } /* Keyword.Type */
.highlight .m { color: #0000DD; font-weight: bold } /* Literal.Number */
.highlight .s { color: #dd2200; background-color: #fff0f0 } /* Literal.String */
.highlight .na { color: #336699 } /* Name.Attribute */
.highlight .nb { color: #003388 } /* Name.Builtin */
.highlight .nc { color: #bb0066; font-weight: bold } /* Name.Class */
.highlight .no { color: #003366; font-weight: bold } /* Name.Constant */
.highlight .nd { color: #555555 } /* Name.Decorator */
.highlight .ne { color: #bb0066; font-weight: bold } /* Name.Exception */
.highlight .nf { color: #0066bb; font-weight: bold } /* Name.Function */
.highlight .nl { color: #336699; font-style: italic } /* Name.Label */
.highlight .nn { color: #bb0066; font-weight: bold } /* Name.Namespace */
.highlight .py { color: #336699; font-weight: bold } /* Name.Property */
.highlight .nt { color: #bb0066; font-weight: bold } /* Name.Tag */
.highlight .nv { color: #336699 } /* Name.Variable */
.highlight .ow { color: #008800 } /* Operator.Word */
.highlight .w { color: #bbbbbb } /* Text.Whitespace */
.highlight .mb { color: #0000DD; font-weight: bold } /* Literal.Number.Bin */
.highlight .mf { color: #0000DD; font-weight: bold } /* Literal.Number.Float */
.highlight .mh { color: #0000DD; font-weight: bold } /* Literal.Number.Hex */
.highlight .mi { color: #0000DD; font-weight: bold } /* Literal.Number.Integer */
.highlight .mo { color: #0000DD; font-weight: bold } /* Literal.Number.Oct */
.highlight .sa { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Affix */
.highlight .sb { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Backtick */
.highlight .sc { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Char */
.highlight .dl { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Delimiter */
.highlight .sd { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Doc */
.highlight .s2 { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Double */
.highlight .se { color: #0044dd; background-color: #fff0f0 } /* Literal.String.Escape */
.highlight .sh { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Heredoc */
.highlight .si { color: #3333bb; background-color: #fff0f0 } /* Literal.String.Interpol */
.highlight .sx { color: #22bb22; background-color: #f0fff0 } /* Literal.String.Other */
.highlight .sr { color: #008800; background-color: #fff0ff } /* Literal.String.Regex */
.highlight .s1 { color: #dd2200; background-color: #fff0f0 } /* Literal.String.Single */
.highlight .ss { color: #aa6600; background-color: #fff0f0 } /* Literal.String.Symbol */
.highlight .bp { color: #003388 } /* Name.Builtin.Pseudo */
.highlight .fm { color: #0066bb; font-weight: bold } /* Name.Function.Magic */
.highlight .vc { color: #336699 } /* Name.Variable.Class */
.highlight .vg { color: #dd7700 } /* Name.Variable.Global */
.highlight .vi { color: #3333bb } /* Name.Variable.Instance */
.highlight .vm { color: #336699 } /* Name.Variable.Magic */
.highlight .il { color: #0000DD; font-weight: bold } /* Literal.Number.Integer.Long */
# example program: reading events from keyboard or mouse
#
# Keeps printing 'a' until you press a key or click on the mouse.

def main [
  local-scope
  open-console
  {
    e:event, found?:boolean <- check-for-interaction
    break-if found?
    print-character-to-display 97, 7/white
    loop
  }
  close-console
  $print e, 10/newline
]
493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658
//: Arrays contain a variable number of elements of the same type. Their value
//: starts with the length of the array.
//:
//: You can create arrays of containers, but containers can only contain
//: elements of a fixed size, so you can't create containers containing arrays.
//: Create containers containing addresses to arrays instead.

//: You can create arrays using 'create-array'.
:(scenario create_array)
def main [
  # create an array occupying locations 1 (for the size) and 2-4 (for the elements)
  1:array:num:3 <- create-array
]
+run: creating array of size 4

:(before "End Primitive Recipe Declarations")
CREATE_ARRAY,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "create-array", CREATE_ARRAY);
:(before "End Primitive Recipe Checks")
case CREATE_ARRAY: {
  if (inst.products.empty()) {
    raise << maybe(get(Recipe, r).name) << "'create-array' needs one product and no ingredients but got '" << to_original_string(inst) << '\n' << end();
    break;
  }
  reagent/*copy*/ product = inst.products.at(0);
  // Update CREATE_ARRAY product in Check
  if (!is_mu_array(product)) {
    raise << maybe(get(Recipe, r).name) << "'create-array' cannot create non-array '" << product.original_string << "'\n" << end();
    break;
  }
  if (!product.type->right) {
    raise << maybe(get(Recipe, r).name) << "create array of what? '" << to_original_string(inst) << "'\n" << end();
    break;
  }
  // 'create-array' will need to check properties rather than types
  type_tree* array_length_from_type = product.type->right->right;
  if (!array_length_from_type) {
    raise << maybe(get(Recipe, r).name) << "create array of what size? '" << to_original_string(inst) << "'\n" << end();
    break;
  }
  if (!product.type->right->right->atom)
    array_length_from_type = array_length_from_type->left;
  if (!is_integer(array_length_from_type->name)) {
    raise << maybe(get(Recipe, r).name) << "'create-array' product should specify size of array after its element type, but got '" << product.type->right->right->name << "'\n" << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case CREATE_ARRAY: {
  reagent/*copy*/ product = current_instruction().products.at(0);
  // Update CREATE_ARRAY product in Run
  int base_address = product.value;
  type_tree* array_length_from_type = product.type->right->right;
  if (!product.type->right->right->atom)
    array_length_from_type = array_length_from_type->left;
  int array_length = to_integer(array_length_from_type->name);
  // initialize array length, so that size_of will work
  trace(9999, "mem") << "storing " << array_length << " in location " << base_address << end();
  put(Memory, base_address, array_length);  // in array elements
  int size = size_of(product);  // in locations
  trace(9998, "run") << "creating array of size " << size << end();
  // initialize array
  for (int i = 1;  i <= size_of(product);  ++i)
    put(Memory, base_address+i, 0);
  // no need to update product
  write_products = false;
  break;
}

:(scenario copy_array)
# Arrays can be copied around with a single instruction just like numbers,
# no matter how large they are.
# You don't need to pass the size around, since each array variable stores its
# size in memory at run-time. We'll call a variable with an explicit size a
# 'static' array, and one without a 'dynamic' array since it can contain
# arrays of many different sizes.
def main [
  1:array:num:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:array:num <- copy 1:array:num:3
]
+mem: storing 3 in location 5
+mem: storing 14 in location 6
+mem: storing 15 in location 7
+mem: storing 16 in location 8

:(scenario stash_array)
def main [
  1:array:num:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  stash [foo:], 1:array:num:3
]
+app: foo: 3 14 15 16

:(before "End types_coercible Special-cases")
if (is_mu_array(from) && is_mu_array(to))
  return types_strictly_match(array_element(from.type), array_element(to.type));

:(before "End size_of(reagent r) Special-cases")
if (!r.type->atom && r.type->left->atom && r.type->left->value == get(Type_ordinal, "array")) {
  if (!r.type->right) {
    raise << maybe(current_recipe_name()) << "'" << r.original_string << "' is an array of what?\n" << end();
    return 1;
  }
  return /*space for length*/1 + array_length(r)*size_of(array_element(r.type));
}

:(before "End size_of(type) Non-atom Special-cases")
if (type->left->value == get(Type_ordinal, "array")) return static_array_length(type);
:(code)
int static_array_length(const type_tree* type) {
  if (!type->atom && type->right && !type->right->atom && type->right->right && !type->right->right->atom && !type->right->right->right  // exactly 3 types
      && type->right->right->left && type->right->right->left->atom && is_integer(type->right->right->left->name)) {  // third 'type' is a number
    // get size from type
    return to_integer(type->right->right->left->name);
  }
  cerr << to_string(type) << '\n';
  assert(false);
}

//: disable the size mismatch check for arrays since the destination array
//: need not be initialized
:(before "End size_mismatch(x) Special-cases")
if (x.type && !x.type->atom && x.type->left->value == get(Type_ordinal, "array")) return false;

//:: arrays inside containers
//: arrays are disallowed inside containers unless their length is fixed in
//: advance

:(scenario container_permits_static_array_element)
container foo [
  x:array:num:3
]
$error: 0

:(before "End insert_container Special-cases")
else if (is_integer(type->name)) {  // sometimes types will contain non-type tags, like numbers for the size of an array
  type->value = 0;
}

:(scenario container_disallows_dynamic_array_element)
% Hide_errors = true;
container foo [
  x:array:num
]
+error: container 'foo' cannot determine size of element 'x'

:(before "End Load Container Element Definition")
{
  const type_tree* type = info.elements.back().type;
  if (type && type->atom && type->name == "array") {
    raise << "container '" << name << "' doesn't specify type of array elements for '" << info.elements.back().name << "'\n" << end();
    continue;
  }
  if (type && !type->atom && type->left->atom && type->left->name == "array") {
    if (!type->right) {
      raise << "container '" << name << "' doesn't specify type of array elements for '" << info.elements.back().name << "'\n" << end();
      continue;
    }
    if (!type->right->right || !is_integer(type->right->right->left->name)) {  // array has no length
      raise << "container '" << name << "' cannot determine size of element '" << info.elements.back().name << "'\n" << end();
      continue;
    }
  }
}

//: disable the size mismatch check for 'merge' instructions since containers
//: can contain arrays, and since we already do plenty of checking for them
:(before "End size_mismatch(x) Special-cases")
if (current_call().running_step_index < SIZE(get(Recipe, current_call().running_recipe).steps)
    && current_instruction().operation == MERGE) {
  return false;
}

:(scenario merge_static_array_into_container)
container foo [
  x:num
  y:array:num:3
]
def main [
  1:array:num:3 <- create-array
  10:foo <- merge 34, 1:array:num:3
]
# no errors

:(scenario code_inside_container)
% Hide_errors = true;
container card [
  rank:num <- next-ingredient
]
def foo [
  1:card <- merge 3
  2:num <- get 1:card rank:offset
]
# shouldn't die

//:: containers inside arrays
//: make sure we compute container sizes inside arrays

:(before "End compute_container_sizes Non-atom Special-cases")
else if (type->left->name == "array")
  compute_container_sizes(array_element(type), pending_metadata, location_for_error_messages);

:(before "End Unit Tests")
void test_container_sizes_from_array() {
  // a container we don't have the size for
  reagent container("x:point");
  CHECK(!contains_key(Container_metadata, container.type));
  // scanning an array of the container precomputes the size of the container
  reagent r("x:array:point");
  compute_container_sizes(r, "");
  CHECK(contains_key(Container_metadata, container.type));
  CHECK_EQ(get(Container_metadata, container.type).size, 2);
}

void test_container_sizes_from_address_to_array() {
  // a container we don't have the size for
  reagent container("x:point");
  CHECK(!contains_key(Container_metadata, container.type));
  // scanning an address to an array of the container precomputes the size of the container
  reagent r("x:address:array:point");
  compute_container_sizes(r, "");
  CHECK(contains_key(Container_metadata, container.type));
  CHECK_EQ(get(Container_metadata, container.type).size, 2);
}

void test_container_sizes_from_static_array() {
  // a container we don't have the size for
  reagent container("x:point");
  int old_size = SIZE(Container_metadata);
  // scanning an address to an array of the container precomputes the size of the container
  reagent r("x:array:point:10");
  compute_container_sizes(r, "");
  CHECK(contains_key(Container_metadata, container.type));
  CHECK_EQ(get(Container_metadata, container.type).size, 2);
  // no non-container types precomputed
  CHECK_EQ(SIZE(Container_metadata)-old_size, 1);
}

void test_container_sizes_from_address_to_static_array() {
  // a container we don't have the size for
  reagent container("x:point");
  int old_size = SIZE(Container_metadata);
  // scanning an address to an array of the container precomputes the size of the container
  reagent r("x:address:array:point:10");
  compute_container_sizes(r, "");
  CHECK(contains_key(Container_metadata, container.type));
  CHECK_EQ(get(Container_metadata, container.type).size, 2);
  // no non-container types precomputed
  CHECK_EQ(SIZE(Container_metadata)-old_size, 1);
}

void test_container_sizes_from_repeated_address_and_array_types() {
  // a container we don't have the size for
  reagent container("x:point");
  int old_size = SIZE(Container_metadata);
  // scanning repeated address and array types modifying the container precomputes the size of the container
  reagent r("x:address:array:address:array:point:10");
  compute_container_sizes(r, "");
  CHECK(contains_key(Container_metadata, container.type));
  CHECK_EQ(get(Container_metadata, container.type).size, 2);
  // no non-container types precomputed
  CHECK_EQ(SIZE(Container_metadata)-old_size, 1);
}

void test_container_sizes_on_unknown_type() {
  // a container we don't have the size for
  reagent container("x:point");
  int old_size = SIZE(Container_metadata);
  // scanning address to array with a typo
  reagent r("x:address:array:adress:number");
  compute_container_sizes(r, "");  // should not crash
  // no non-container types precomputed
  CHECK_EQ(SIZE(Container_metadata), old_size);
}

//:: To access elements of an array, use 'index'

:(scenario index)
def main [
  1:array:num:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:num <- index 1:array:num:3, 0/index  # the index must be a non-negative whole number
]
+mem: storing 14 in location 5

:(scenario index_compound_element)
def main [
  {1: (array (address number) 3)} <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:address:num <- index {1: (array (address number) 3)}, 0
]
+mem: storing 14 in location 5

:(scenario index_direct_offset)
def main [
  1:array:num:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:num <- copy 0
  6:num <- index 1:array:num, 5:num
]
+mem: storing 14 in location 6

:(before "End Primitive Recipe Declarations")
INDEX,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "index", INDEX);
:(before "End Primitive Recipe Checks")
case INDEX: {
  if (SIZE(inst.ingredients) != 2) {
    raise << maybe(get(Recipe, r).name) << "'index' expects exactly 2 ingredients in '" << to_original_string(inst) << "'\n" << end();
    break;
  }
  reagent/*copy*/ base = inst.ingredients.at(0);
  // Update INDEX base in Check
  if (!is_mu_array(base)) {
    raise << maybe(get(Recipe, r).name) << "'index' on a non-array '" << base.original_string << "'\n" << end();
    break;
  }
  reagent/*copy*/ index = inst.ingredients.at(1);
  // Update INDEX index in Check
  if (!is_mu_number(index)) {
    raise << maybe(get(Recipe, r).name) << "second ingredient of 'index' should be a number, but got '" << index.original_string << "'\n" << end();
    break;
  }
  if (inst.products.empty()) break;
  reagent/*copy*/ product = inst.products.at(0);
  // Update INDEX product in Check
  reagent/*local*/ element;
  element.type = copy_array_element(base.type);
  if (!types_coercible(product, element)) {
    raise << maybe(get(Recipe, r).name) << "'index' on '" << base.original_string << "' can't be saved in '" << product.original_string << "'; type should be '" << names_to_string_without_quotes(element.type) << "'\n" << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case INDEX: {
  reagent/*copy*/ base = current_instruction().ingredients.at(0);
  // Update INDEX base in Run
  int base_address = base.value;
  trace(9998, "run") << "base address is " << base_address << end();
  if (base_address == 0) {
    raise << maybe(current_recipe_name()) << "tried to access location 0 in '" << to_original_string(current_instruction()) << "'\n" << end();
    break;
  }
  reagent/*copy*/ index = current_instruction().ingredients.at(1);
  // Update INDEX index in Run
  vector<double> index_val(read_memory(index));
  if (index_val.at(0) < 0 || index_val.at(0) >= get_or_insert(Memory, base_address)) {
    raise << maybe(current_recipe_name()) << "invalid index " << no_scientific(index_val.at(0)) << " in '" << to_original_string(current_instruction()) << "'\n" << end();
    break;
  }
  reagent/*local*/ element;
  element.type = copy_array_element(base.type);
  element.set_value(base_address + /*skip length*/1 + index_val.at(0)*size_of(element.type));
  trace(9998, "run") << "address to copy is " << element.value << end();
  trace(9998, "run") << "its type is " << to_string(element.type) << end();
  // Read element
  products.push_back(read_memory(element));
  break;
}

:(code)
type_tree* copy_array_element(const type_tree* type) {
  return new type_tree(*array_element(type));
}

type_tree* array_element(const type_tree* type) {
  assert(type->right);
  if (type->right->atom) {
    return type->right;
  }
  else if (!type->right->right) {
    return type->right->left;
  }
  // hack: support array:num:3 without requiring extra parens
  else if (type->right->right->left && type->right->right->left->atom && is_integer(type->right->right->left->name)) {
    assert(!type->right->right->right);
    return type->right->left;
  }
  return type->right;
}

int array_length(const reagent& x) {
  // x should already be canonized.
  // hack: look for length in type
  if (!x.type->atom && x.type->right && !x.type->right->atom && x.type->right->right && !x.type->right->right->atom && !x.type->right->right->right  // exactly 3 types
      && x.type->right->right->left && x.type->right->right->left->atom && is_integer(x.type->right->right->left->name)) {  // third 'type' is a number
    // get size from type
    return to_integer(x.type->right->right->left->name);
  }
  // this should never happen at transform time
  return get_or_insert(Memory, x.value);
}

:(before "End Unit Tests")
void test_array_length_compound() {
  put(Memory, 1, 3);
  put(Memory, 2, 14);
  put(Memory, 3, 15);
  put(Memory, 4, 16);
  reagent x("1:array:address:num");  // 3 types, but not a static array
  populate_value(x);
  CHECK_EQ(array_length(x), 3);
}

void test_array_length_static() {
  reagent x("1:array:num:3");
  CHECK_EQ(array_length(x), 3);
}

:(scenario index_truncates)
def main [
  1:array:num:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:num <- index 1:array:num:3, 1.5  # non-whole number
]
# fraction is truncated away
+mem: storing 15 in location 5

:(scenario index_out_of_bounds)
% Hide_errors = true;
def main [
  1:array:num:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:num <- copy 14
  6:num <- copy 15
  7:num <- copy 16
  index 1:array:num:3, 4  # less than size of array in locations, but larger than its length in elements
]
+error: main: invalid index 4 in 'index 1:array:num:3, 4'

:(scenario index_out_of_bounds_2)
% Hide_errors = true;
def main [
  1:array:point:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:num <- copy 14
  6:num <- copy 15
  7:num <- copy 16
  index 1:array:point, -1
]
+error: main: invalid index -1 in 'index 1:array:point, -1'

:(scenario index_product_type_mismatch)
% Hide_errors = true;
def main [
  1:array:point:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:num <- copy 14
  6:num <- copy 15
  7:num <- copy 16
  9:num <- index 1:array:point, 0
]
+error: main: 'index' on '1:array:point' can't be saved in '9:num'; type should be 'point'

//: we might want to call 'index' without saving the results, say in a sandbox

:(scenario index_without_product)
def main [
  1:array:num:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  index 1:array:num:3, 0
]
# just don't die

//:: To write to elements of arrays, use 'put'.

:(scenario put_index)
def main [
  1:array:num:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  1:array:num <- put-index 1:array:num, 1, 34
]
+mem: storing 34 in location 3

:(before "End Primitive Recipe Declarations")
PUT_INDEX,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "put-index", PUT_INDEX);
:(before "End Primitive Recipe Checks")
case PUT_INDEX: {
  if (SIZE(inst.ingredients) != 3) {
    raise << maybe(get(Recipe, r).name) << "'put-index' expects exactly 3 ingredients in '" << to_original_string(inst) << "'\n" << end();
    break;
  }
  reagent/*copy*/ base = inst.ingredients.at(0);
  // Update PUT_INDEX base in Check
  if (!is_mu_array(base)) {
    raise << maybe(get(Recipe, r).name) << "'put-index' on a non-array '" << base.original_string << "'\n" << end();
    break;
  }
  reagent/*copy*/ index = inst.ingredients.at(1);
  // Update PUT_INDEX index in Check
  if (!is_mu_number(index)) {
    raise << maybe(get(Recipe, r).name) << "second ingredient of 'put-index' should have type 'number', but got '" << inst.ingredients.at(1).original_string << "'\n" << end();
    break;
  }
  reagent/*copy*/ value = inst.ingredients.at(2);
  // Update PUT_INDEX value in Check
  reagent/*local*/ element;
  element.type = copy_array_element(base.type);
  if (!types_coercible(element, value)) {
    raise << maybe(get(Recipe, r).name) << "'put-index " << base.original_string << ", " << inst.ingredients.at(1).original_string << "' should store " << names_to_string_without_quotes(element.type) << " but '" << value.name << "' has type " << names_to_string_without_quotes(value.type) << '\n' << end();
    break;
  }
  if (inst.products.empty()) break;  // no more checks necessary
  if (inst.products.at(0).name != inst.ingredients.at(0).name) {
    raise << maybe(get(Recipe, r).name) << "product of 'put-index' must be first ingredient '" << inst.ingredients.at(0).original_string << "', but got '" << inst.products.at(0).original_string << "'\n" << end();
    break;
  }
  // End PUT_INDEX Product Checks
  break;
}
:(before "End Primitive Recipe Implementations")
case PUT_INDEX: {
  reagent/*copy*/ base = current_instruction().ingredients.at(0);
  // Update PUT_INDEX base in Run
  int base_address = base.value;
  if (base_address == 0) {
    raise << maybe(current_recipe_name()) << "tried to access location 0 in '" << to_original_string(current_instruction()) << "'\n" << end();
    break;
  }
  reagent/*copy*/ index = current_instruction().ingredients.at(1);
  // Update PUT_INDEX index in Run
  vector<double> index_val(read_memory(index));
  if (index_val.at(0) < 0 || index_val.at(0) >= get_or_insert(Memory, base_address)) {
    raise << maybe(current_recipe_name()) << "invalid index " << no_scientific(index_val.at(0)) << " in '" << to_original_string(current_instruction()) << "'\n" << end();
    break;
  }
  int address = base_address + /*skip length*/1 + index_val.at(0)*size_of(array_element(base.type));
  trace(9998, "run") << "address to copy to is " << address << end();
  // optimization: directly write the element rather than updating 'product'
  // and writing the entire array
  write_products = false;
  vector<double> value = read_memory(current_instruction().ingredients.at(2));
  // Write Memory in PUT_INDEX in Run
  for (int i = 0;  i < SIZE(value);  ++i) {
    trace(9999, "mem") << "storing " << no_scientific(value.at(i)) << " in location " << address+i << end();
    put(Memory, address+i, value.at(i));
  }
  break;
}

:(scenario put_index_out_of_bounds)
% Hide_errors = true;
def main [
  1:array:point:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:num <- copy 14
  6:num <- copy 15
  7:num <- copy 16
  8:point <- merge 34, 35
  1:array:point <- put-index 1:array:point, 4, 8:point  # '4' is less than size of array in locations, but larger than its length in elements
]
+error: main: invalid index 4 in '1:array:point <- put-index 1:array:point, 4, 8:point'

:(scenario put_index_out_of_bounds_2)
% Hide_errors = true;
def main [
  1:array:point:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:num <- copy 14
  6:num <- copy 15
  7:num <- copy 16
  8:point <- merge 34, 35
  1:array:point <- put-index 1:array:point, -1, 8:point
]
+error: main: invalid index -1 in '1:array:point <- put-index 1:array:point, -1, 8:point'

:(scenario put_index_product_error)
% Hide_errors = true;
def main [
  local-scope
  load-ingredients
  1:array:num:3 <- create-array
  4:array:num:3 <- put-index 1:array:num:3, 0, 34
]
+error: main: product of 'put-index' must be first ingredient '1:array:num:3', but got '4:array:num:3'

//:: compute the length of an array

:(scenario array_length)
def main [
  1:array:num:3 <- create-array
  2:num <- copy 14
  3:num <- copy 15
  4:num <- copy 16
  5:num <- length 1:array:num:3
]
+mem: storing 3 in location 5

:(before "End Primitive Recipe Declarations")
LENGTH,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "length", LENGTH);
:(before "End Primitive Recipe Checks")
case LENGTH: {
  if (SIZE(inst.ingredients) != 1) {
    raise << maybe(get(Recipe, r).name) << "'length' expects exactly 2 ingredients in '" << to_original_string(inst) << "'\n" << end();
    break;
  }
  reagent/*copy*/ array = inst.ingredients.at(0);
  // Update LENGTH array in Check
  if (!is_mu_array(array)) {
    raise << "tried to calculate length of non-array '" << array.original_string << "'\n" << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case LENGTH: {
  reagent/*copy*/ array = current_instruction().ingredients.at(0);
  // Update LENGTH array in Run
  if (array.value == 0) {
    raise << maybe(current_recipe_name()) << "tried to access location 0 in '" << to_original_string(current_instruction()) << "'\n" << end();
    break;
  }
  products.resize(1);
  products.at(0).push_back(get_or_insert(Memory, array.value));
  break;
}

//: optimization: none of the instructions in this layer use 'ingredients' so
//: stop copying potentially huge arrays into it.
:(before "End should_copy_ingredients Special-cases")
recipe_ordinal r = current_instruction().operation;
if (r == CREATE_ARRAY || r == INDEX || r == PUT_INDEX || r == LENGTH)
  return false;