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-//: The goal of layers is to make programs more easy to understand and more
-//: malleable, easy to rewrite in radical ways without accidentally breaking
-//: some corner case. Tests further both goals. They help understandability by
-//: letting one make small changes and get feedback. What if I wrote this line
-//: like so? What if I removed this function call, is it really necessary?
-//: Just try it, see if the tests pass. Want to explore rewriting this bit in
-//: this way? Tests put many refactorings on a firmer footing.
-//:
-//: But the usual way we write tests seems incomplete. Refactorings tend to
-//: work in the small, but don't help with changes to function boundaries. If
-//: you want to extract a new function you have to manually test-drive it to
-//: create tests for it. If you want to inline a function its tests are no
-//: longer valid. In both cases you end up having to reorganize code as well as
-//: tests, an error-prone activity.
-//:
-//: In response, this layer introduces the notion of domain-driven *white-box*
-//: testing. We focus on the domain of inputs the whole program needs to
-//: handle rather than the correctness of individual functions. All white-box
-//: tests invoke the program in a single way: by calling run() with some
-//: input. As the program operates on the input, it traces out a list of
-//: _facts_ deduced about the domain:
-//:   trace("label") << "fact 1: " << val;
-//:
-//: Tests can now check for these facts in the trace:
-//:   CHECK_TRACE_CONTENTS("label", "fact 1: 34\n"
-//:                                 "fact 2: 35\n");
-//:
-//: Since we never call anything but the run() function directly, we never have
-//: to rewrite the tests when we reorganize the internals of the program. We
-//: just have to make sure our rewrite deduces the same facts about the domain,
-//: and that's something we're going to have to do anyway.
-//:
-//: To avoid the combinatorial explosion of integration tests, each layer
-//: mainly logs facts to the trace with a common *label*. All tests in a layer
-//: tend to check facts with this label. Validating the facts logged with a
-//: specific label is like calling functions of that layer directly.
-//:
-//: To build robust tests, trace facts about your domain rather than details of
-//: how you computed them.
-//:
-//: More details: http://akkartik.name/blog/tracing-tests
-//:
-//: ---
-//:
-//: Between layers and domain-driven testing, programming starts to look like a
-//: fundamentally different activity. Instead of focusing on a) superficial,
-//: b) local rules on c) code [like say http://blog.bbv.ch/2013/06/05/clean-code-cheat-sheet],
-//: we allow programmers to engage with the a) deep, b) global structure of
-//: the c) domain. If you can systematically track discontinuities in the
-//: domain, you don't care if the code used gotos as long as it passed all
-//: tests. If tests become more robust to run, it becomes easier to try out
-//: radically different implementations for the same program. If code is
-//: super-easy to rewrite, it becomes less important what indentation style it
-//: uses, or that the objects are appropriately encapsulated, or that the
-//: functions are referentially transparent.
-//:
-//: Instead of plumbing, programming becomes building and gradually refining a
-//: map of the environment the program must operate under. Whether a program
-//: is 'correct' at a given point in time is a red herring; what matters is
-//: avoiding regression by monotonically nailing down the more 'eventful'
-//: parts of the terrain. It helps readers new and old, and rewards curiosity,
-//: to organize large programs in self-similar hierarchies of example tests
-//: colocated with the code that makes them work.
-//:
-//:   "Programming properly should be regarded as an activity by which
-//:   programmers form a mental model, rather than as production of a program."
-//:   -- Peter Naur (http://alistair.cockburn.us/ASD+book+extract%3A+%22Naur,+Ehn,+Musashi%22)
-
-//:: == Core data structures
-
-:(before "End Globals")
-trace_stream* Trace_stream = NULL;
-
-:(before "End Types")
-struct trace_stream {
-  vector<trace_line> past_lines;
-  // End trace_stream Fields
-
-  trace_stream() {
-    // End trace_stream Constructor
-  }
-  ~trace_stream() {
-    // End trace_stream Destructor
-  }
-  // End trace_stream Methods
-};
-
-//:: == Adding to the trace
-
-//: Top-level method is trace() which can be used like an ostream. Usage:
-//:   trace(depth, label) << ... << end();
-//: Don't forget the 'end()' to actually append to the trace.
-:(before "End Includes")
-// No brackets around the expansion so that it prints nothing if Trace_stream
-// isn't initialized.
-#define trace(...)  !Trace_stream ? cerr : Trace_stream->stream(__VA_ARGS__)
-
-:(before "End trace_stream Fields")
-// accumulator for current trace_line
-ostringstream* curr_stream;
-string curr_label;
-int curr_depth;
-// other stuff
-int collect_depth;  // avoid tracing lower levels for speed
-ofstream null_stream;  // never opened, so writes to it silently fail
-
-//: Some constants.
-:(before "struct trace_stream")  // include constants in all cleaved compilation units
-const int Max_depth = 9999;
-:(before "End trace_stream Constructor")
-curr_stream = NULL;
-curr_depth = Max_depth;
-collect_depth = Max_depth;
-
-:(before "struct trace_stream")
-struct trace_line {
-  string contents;
-  string label;
-  int depth;  // 0 is 'sea level'; positive integers are progressively 'deeper' and lower level
-  trace_line(string c, string l) {
-    contents = c;
-    label = l;
-    depth = 0;
-  }
-  trace_line(string c, string l, int d) {
-    contents = c;
-    label = l;
-    depth = d;
-  }
-};
-
-//: Starting a new trace line.
-:(before "End trace_stream Methods")
-ostream& stream(string label) {
-  return stream(Max_depth, label);
-}
-
-ostream& stream(int depth, string label) {
-  if (depth > collect_depth) return null_stream;
-  curr_stream = new ostringstream;
-  curr_label = label;
-  curr_depth = depth;
-  return *curr_stream;
-}
-
-//: End of a trace line; append it to the trace.
-:(before "End Types")
-struct end {};
-:(code)
-ostream& operator<<(ostream& os, end /*unused*/) {
-  if (Trace_stream) Trace_stream->newline();
-  return os;
-}
-
-:(before "End trace_stream Methods")
-void newline();
-:(code)
-void trace_stream::newline() {
-  if (!curr_stream) return;
-  string curr_contents = curr_stream->str();
-  if (!curr_contents.empty()) {
-    past_lines.push_back(trace_line(curr_contents, trim(curr_label), curr_depth));  // preserve indent in contents
-    // maybe incrementally dump trace
-    trace_line& t = past_lines.back();
-    if (should_incrementally_print_trace()) {
-      cerr       << std::setw(4) << t.depth << ' ' << t.label << ": " << t.contents << '\n';
-    }
-    // End trace Commit
-  }
-
-  // clean up
-  delete curr_stream;
-  curr_stream = NULL;
-  curr_label.clear();
-  curr_depth = Max_depth;
-}
-
-//:: == Initializing the trace in tests
-
-:(before "End Includes")
-#define START_TRACING_UNTIL_END_OF_SCOPE  lease_tracer leased_tracer;
-:(before "End Test Setup")
-START_TRACING_UNTIL_END_OF_SCOPE
-
-//: Trace_stream is a resource, lease_tracer uses RAII to manage it.
-:(before "End Types")
-struct lease_tracer {
-  lease_tracer();
-  ~lease_tracer();
-};
-:(code)
-lease_tracer::lease_tracer() { Trace_stream = new trace_stream; }
-lease_tracer::~lease_tracer() {
-  delete Trace_stream;
-  Trace_stream = NULL;
-}
-
-//:: == Errors using traces
-
-:(before "End Includes")
-#define raise  (!Trace_stream ? (scroll_to_bottom_and_close_console(),++Trace_errors,cerr) /*do print*/ : Trace_stream->stream(Error_depth, "error"))
-
-//: Print errors to the screen by default.
-:(before "struct trace_stream")  // include constants in all cleaved compilation units
-const int Error_depth = 0;
-:(before "End Globals")
-int Hide_errors = false;  // if set, don't print errors to screen
-:(before "End Reset")
-Hide_errors = false;
-:(code)
-bool trace_stream::should_incrementally_print_trace() {
-  if (!Hide_errors && curr_depth == Error_depth) return true;
-  // End Incremental Trace Print Conditions
-  return false;
-}
-:(before "End trace_stream Methods")
-bool should_incrementally_print_trace();
-
-:(before "End Globals")
-int Trace_errors = 0;  // used only when Trace_stream is NULL
-
-// Fail tests that displayed (unexpected) errors.
-// Expected errors should always be hidden and silently checked for.
-:(before "End Test Teardown")
-if (Passed && !Hide_errors && trace_contains_errors()) {
-  Passed = false;
-}
-:(code)
-bool trace_contains_errors() {
-  return Trace_errors > 0 || trace_count("error") > 0;
-}
-
-:(before "End Includes")
-// If we aren't yet sure how to deal with some corner case, use assert_for_now
-// to indicate that it isn't an inviolable invariant.
-#define assert_for_now assert
-#define raise_for_now raise
-
-//: Automatically close the console in some situations.
-:(before "End One-time Setup")
-atexit(scroll_to_bottom_and_close_console);
-:(code)
-void scroll_to_bottom_and_close_console() {
-  if (!tb_is_active()) return;
-  // leave the screen in a relatively clean state
-  tb_set_cursor(tb_width()-1, tb_height()-1);
-  cout << "\r\n";
-  tb_shutdown();
-}
-:(before "End Includes")
-#include "termbox/termbox.h"
-
-//:: == Other assertions on traces
-//: Primitives:
-//:   - CHECK_TRACE_CONTENTS(lines)
-//:     Assert that the trace contains the given lines (separated by newlines)
-//:     in order. There can be other intervening lines between them.
-//:   - CHECK_TRACE_DOESNT_CONTAIN(line)
-//:   - CHECK_TRACE_DOESNT_CONTAIN(label, contents)
-//:     Assert that the trace doesn't contain the given (single) line.
-//:   - CHECK_TRACE_COUNT(label, count)
-//:     Assert that the trace contains exactly 'count' lines with the given
-//:     'label'.
-//:   - CHECK_TRACE_CONTAINS_ERRORS()
-//:   - CHECK_TRACE_DOESNT_CONTAIN_ERRORS()
-//:   - trace_count_prefix(label, prefix)
-//:     Count the number of trace lines with the given 'label' that start with
-//:     the given 'prefix'.
-
-:(before "End Includes")
-#define CHECK_TRACE_CONTENTS(...)  check_trace_contents(__FUNCTION__, __FILE__, __LINE__, __VA_ARGS__)
-
-#define CHECK_TRACE_DOESNT_CONTAIN(...)  CHECK(trace_doesnt_contain(__VA_ARGS__))
-
-#define CHECK_TRACE_COUNT(label, count) \
-  if (Passed && trace_count(label) != (count)) { \
-    cerr << "\nF - " << __FUNCTION__ << "(" << __FILE__ << ":" << __LINE__ << "): trace_count of " << label << " should be " << count << '\n'; \
-    cerr << "  got " << trace_count(label) << '\n';  /* multiple eval */ \
-    DUMP(label); \
-    Passed = false; \
-    return;  /* Currently we stop at the very first failure. */ \
-  }
-
-#define CHECK_TRACE_CONTAINS_ERRORS()  CHECK(trace_contains_errors())
-#define CHECK_TRACE_DOESNT_CONTAIN_ERRORS() \
-  if (Passed && trace_contains_errors()) { \
-    cerr << "\nF - " << __FUNCTION__ << "(" << __FILE__ << ":" << __LINE__ << "): unexpected errors\n"; \
-    DUMP("error"); \
-    Passed = false; \
-    return; \
-  }
-
-// Allow tests to ignore trace lines generated during setup.
-#define CLEAR_TRACE  delete Trace_stream, Trace_stream = new trace_stream
-
-:(code)
-bool check_trace_contents(string FUNCTION, string FILE, int LINE, string expected) {
-  if (!Passed) return false;
-  if (!Trace_stream) return false;
-  vector<string> expected_lines = split(expected, "\n");
-  int curr_expected_line = 0;
-  while (curr_expected_line < SIZE(expected_lines) && expected_lines.at(curr_expected_line).empty())
-    ++curr_expected_line;
-  if (curr_expected_line == SIZE(expected_lines)) return true;
-  string label, contents;
-  split_label_contents(expected_lines.at(curr_expected_line), &label, &contents);
-  for (vector<trace_line>::iterator p = Trace_stream->past_lines.begin();  p != Trace_stream->past_lines.end();  ++p) {
-    if (label != p->label) continue;
-    if (contents != trim(p->contents)) continue;
-    ++curr_expected_line;
-    while (curr_expected_line < SIZE(expected_lines) && expected_lines.at(curr_expected_line).empty())
-      ++curr_expected_line;
-    if (curr_expected_line == SIZE(expected_lines)) return true;
-    split_label_contents(expected_lines.at(curr_expected_line), &label, &contents);
-  }
-
-  if (line_exists_anywhere(label, contents)) {
-    cerr << "\nF - " << FUNCTION << "(" << FILE << ":" << LINE << "): line [" << label << ": " << contents << "] out of order in trace:\n";
-    DUMP("");
-  }
-  else {
-    cerr << "\nF - " << FUNCTION << "(" << FILE << ":" << LINE << "): missing [" << contents << "] in trace:\n";
-    DUMP(label);
-  }
-  Passed = false;
-  return false;
-}
-
-bool trace_doesnt_contain(string expected) {
-  vector<string> tmp = split_first(expected, ": ");
-  if (SIZE(tmp) == 1) {
-    raise << expected << ": missing label or contents in trace line\n" << end();
-    assert(false);
-  }
-  return trace_count(tmp.at(0), tmp.at(1)) == 0;
-}
-
-int trace_count(string label) {
-  return trace_count(label, "");
-}
-
-int trace_count(string label, string line) {
-  if (!Trace_stream) return 0;
-  long result = 0;
-  for (vector<trace_line>::iterator p = Trace_stream->past_lines.begin();  p != Trace_stream->past_lines.end();  ++p) {
-    if (label == p->label) {
-      if (line == "" || trim(line) == trim(p->contents))
-        ++result;
-    }
-  }
-  return result;
-}
-
-int trace_count_prefix(string label, string prefix) {
-  if (!Trace_stream) return 0;
-  long result = 0;
-  for (vector<trace_line>::iterator p = Trace_stream->past_lines.begin();  p != Trace_stream->past_lines.end();  ++p) {
-    if (label == p->label) {
-      if (starts_with(trim(p->contents), trim(prefix)))
-        ++result;
-    }
-  }
-  return result;
-}
-
-void split_label_contents(const string& s, string* label, string* contents) {
-  static const string delim(": ");
-  size_t pos = s.find(delim);
-  if (pos == string::npos) {
-    *label = "";
-    *contents = trim(s);
-  }
-  else {
-    *label = trim(s.substr(0, pos));
-    *contents = trim(s.substr(pos+SIZE(delim)));
-  }
-}
-
-bool line_exists_anywhere(const string& label, const string& contents) {
-  for (vector<trace_line>::iterator p = Trace_stream->past_lines.begin();  p != Trace_stream->past_lines.end();  ++p) {
-    if (label != p->label) continue;
-    if (contents == trim(p->contents)) return true;
-  }
-  return false;
-}
-
-vector<string> split(string s, string delim) {
-  vector<string> result;
-  size_t begin=0, end=s.find(delim);
-  while (true) {
-    if (end == string::npos) {
-      result.push_back(string(s, begin, string::npos));
-      break;
-    }
-    result.push_back(string(s, begin, end-begin));
-    begin = end+SIZE(delim);
-    end = s.find(delim, begin);
-  }
-  return result;
-}
-
-vector<string> split_first(string s, string delim) {
-  vector<string> result;
-  size_t end=s.find(delim);
-  result.push_back(string(s, 0, end));
-  if (end != string::npos)
-    result.push_back(string(s, end+SIZE(delim), string::npos));
-  return result;
-}
-
-//:: == Helpers for debugging using traces
-
-:(before "End Includes")
-// To debug why a test is failing, dump its trace using '?'.
-#define DUMP(label)  if (Trace_stream) cerr << Trace_stream->readable_contents(label);
-
-// To add temporary prints to the trace, use 'dbg'.
-// `git log` should never show any calls to 'dbg'.
-#define dbg trace(0, "a")
-
-//: Dump the entire trace to file where it can be browsed offline.
-//: Dump the trace as it happens; that way you get something even if the
-//: program crashes.
-
-:(before "End Globals")
-ofstream Trace_file;
-:(before "End Commandline Options(*arg)")
-else if (is_equal(*arg, "--trace")) {
-  Trace_stream = new trace_stream;
-  cerr << "saving trace to 'last_run'\n";
-  Trace_file.open("last_run");
-  // Add a dummy line up top; otherwise the `browse_trace` tool currently has
-  // no way to expand any lines above an error.
-  Trace_file << "   0 dummy: start\n";
-}
-:(before "End trace Commit")
-if (Trace_file) {
-  Trace_file << std::setw(4) << t.depth << ' ' << t.label << ": " << t.contents << '\n';
-}
-:(before "End One-time Setup")
-atexit(cleanup_main);
-:(code)
-void cleanup_main() {
-  if (Trace_file) Trace_file.close();
-  // End cleanup_main
-}
-
-:(before "End trace_stream Methods")
-string readable_contents(string label) {
-  string trim(const string& s);  // prototype
-  ostringstream output;
-  label = trim(label);
-  for (vector<trace_line>::iterator p = past_lines.begin();  p != past_lines.end();  ++p)
-    if (label.empty() || label == p->label)
-      output << std::setw(4) << p->depth << ' ' << p->label << ": " << p->contents << '\n';
-  return output.str();
-}
-
-//: Print traces to the screen as they happen.
-//: Particularly useful when juggling multiple trace streams, like when
-//: debugging sandboxes.
-:(before "End Globals")
-bool Dump_trace = false;
-:(before "End Commandline Options(*arg)")
-else if (is_equal(*arg, "--dump")) {
-  Dump_trace = true;
-}
-:(before "End Incremental Trace Print Conditions")
-if (Dump_trace) return true;
-
-//: Miscellaneous helpers.
-
-:(code)
-string trim(const string& s) {
-  string::const_iterator first = s.begin();
-  while (first != s.end() && isspace(*first))
-    ++first;
-  if (first == s.end()) return "";
-
-  string::const_iterator last = --s.end();
-  while (last != s.begin() && isspace(*last))
-    --last;
-  ++last;
-  return string(first, last);
-}
-
-:(before "End Includes")
-#include <vector>
-using std::vector;
-#include <list>
-using std::list;
-#include <set>
-using std::set;
-
-#include <sstream>
-using std::istringstream;
-using std::ostringstream;
-
-#include <fstream>
-using std::ifstream;
-using std::ofstream;