OctoGuac.ipynb

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      "Automatic pdb calling has been turned ON\n"
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    "%pdb on\n",
    "debug = 0\n",
    "_debug_indent = 0\n",
    "def dbg(msg,sev=1):\n",
    "    indent = \"    \"\n",
    "    if debug >= sev:\n",
    "        print \"DBG: \" + (indent * _debug_indent) + msg\n",
    "        \n",
    "def dbg_indent(lvl=None):\n",
    "    global _debug_indent\n",
    "    if lvl is None:\n",
    "        lvl = 1\n",
    "    _debug_indent = max((_debug_indent + lvl,0))\n",
    "    \n",
    "    \n",
    "def dbg_outdent(lvl=None):\n",
    "    if lvl is None:\n",
    "        lvl = 1\n",
    "    dbg_indent(-1 * lvl)\n",
    "    "
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    "import types\n",
    "def clean_string(s):\n",
    "    \"\"\"\n",
    "    Given a string, return a version with the following rules applied:\n",
    "      - no whitespace on either end\n",
    "      - all lower-case\n",
    "    \"\"\"\n",
    "    return s.lower().strip()\n",
    "\n",
    "def clean_strings(s):\n",
    "    \"\"\"\n",
    "    Given a dict, list, or string of skill strings in the format:\n",
    "        category: [category:...] skill [, skill...]\n",
    "    update all strings therein, such that they conform to the following rules:\n",
    "      - each comma-delimeter skill becomes its own value\n",
    "      - all values formatted according to `clean_string()`\n",
    "      - only one instance per value (post-formatting)\n",
    "    Input types map to return types as follows:\n",
    "      dict     -> dict\n",
    "      iterable -> list\n",
    "      string   -> list (because comma-delimeted skills explode)\n",
    "    \"\"\"\n",
    "    if type(s) == dict:\n",
    "        for k,v in s.items():\n",
    "            clean_k = clean_string(k)\n",
    "            clean_v = clean_strings(v)\n",
    "            if clean_k != k:\n",
    "                #if s.has_key(clean_k):\n",
    "                #    raise Exception(\"Cleaned version of '%s' duplicates an existing key! (%s)\" % (k,clean_k))\n",
    "                del(s[k])\n",
    "            s[clean_k] = clean_v\n",
    "        skills = s\n",
    "    elif hasattr(s,\"__iter__\"):\n",
    "        skills = []\n",
    "        for skill in s:\n",
    "            for clean_skill in clean_strings(skill):\n",
    "                #if clean_skill in skills:\n",
    "                #    raise Exception(\"Cleaned version of '%s' duplicates an existing value! (%s)\" % (skill,clean_skill))\n",
    "                if clean_skill not in skills:\n",
    "                    skills.append(clean_skill)\n",
    "    elif type(s) in types.StringTypes:\n",
    "        tokens = [ t.lower().strip() for t in s.split(\":\") ]\n",
    "        prefix = tokens[:-1]\n",
    "        skills = []\n",
    "        for skill in [ skill.lower().strip() for skill in tokens[-1].split(\",\") ]:\n",
    "            if skill is not None and skill not in skills:\n",
    "                clean_skill = \":\".join([ x for x in prefix + [skill] ])\n",
    "                #if clean_skill in skills:\n",
    "                #    raise Exception(\"Cleaned version of '%s' duplicates an existing value! (%s)\" % (skill,clean_skill))\n",
    "                skills.append(clean_skill)\n",
    "            else:\n",
    "                raise Exception(\"Malformed skill string '%s'\" % skill)\n",
    "    else:\n",
    "        raise Exception(\"Cannot parse skill string of incompatible type %s: %s\" % (type(s),s))\n",
    "    return skills"
   ]
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   "source": [
    "# Automated discovery of learning paths and goals \n",
    "\n",
    "## Toward a GPS for your curriculum map\n",
    "\n",
    "### *\"Let the robots tell us what to learn. What could possibly go wrong?\"*"
   ]
  },
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   "source": [
    "# Task One: What have you got?\n",
    "\n",
    "**Note:** *creating a taxonomy of all human knowledge is ~~really hard~~ outside the scope of this talk*"
   ]
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   "source": [
    "```yaml\n",
    "Hello World:\n",
    "  Description: \"Write a script that prints 'hello world'\"\n",
    "  Provides:\n",
    "  # All skills are implicitly within the `Python:` namespace\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Output: print\"\n",
    "```"
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   "source": [
    "---\n",
    "```yaml\n",
    "What's Your Name?:\n",
    "  Description: \"Write a script that prompts for and prints a string\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Output: print\"\n",
    "    - \"Variable: overview, set\"\n",
    "  Provides:\n",
    "    - \"Input: CLI prompt\"\n",
    "    - \"String: variable interpolation\"\n",
    "```"
   ]
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      "text/plain": [
       "['script:edit', 'script:make executable', 'output:print', 'many:layers:deep']"
      ]
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   "source": [
    "clean_strings([\n",
    "        \"Script: edit, make executable\",\n",
    "        \"Script: edit  , make executable\",  # <-- duplicate, but for the whitespace\n",
    "        \"Output: print\",\n",
    "        \"Many: layers: deep\",  \n",
    "])"
   ]
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    "import types\n",
    "def clean_string(s):\n",
    "    \"\"\"\n",
    "    Given a string, return a version with the following rules applied:\n",
    "      - no whitespace on either end\n",
    "      - all lower-case\n",
    "    \"\"\"\n",
    "    return s.lower().strip()\n",
    "\n",
    "def clean_strings(s):\n",
    "    \"\"\"\n",
    "    Given a dict, list, or string of skill strings in the format:\n",
    "        category: [category:...] skill [, skill...]\n",
    "    update all strings therein, such that they conform to the following rules:\n",
    "      - each comma-delimeter skill becomes its own value\n",
    "      - all values formatted according to `clean_string()`\n",
    "      - only one instance per value (post-formatting)\n",
    "    Input types map to return types as follows:\n",
    "      dict     -> dict\n",
    "      iterable -> list\n",
    "      string   -> list (because comma-delimeted skills explode)\n",
    "    \"\"\"\n",
    "    if type(s) == dict:\n",
    "        for k,v in s.items():\n",
    "            clean_k = clean_string(k)\n",
    "            clean_v = clean_strings(v)\n",
    "            if clean_k != k:\n",
    "                #if s.has_key(clean_k):\n",
    "                #    raise Exception(\"Cleaned version of '%s' duplicates an existing key! (%s)\" % (k,clean_k))\n",
    "                del(s[k])\n",
    "            s[clean_k] = clean_v\n",
    "        skills = s\n",
    "    elif hasattr(s,\"__iter__\"):\n",
    "        skills = []\n",
    "        for skill in s:\n",
    "            for clean_skill in clean_strings(skill):\n",
    "                #if clean_skill in skills:\n",
    "                #    raise Exception(\"Cleaned version of '%s' duplicates an existing value! (%s)\" % (skill,clean_skill))\n",
    "                if clean_skill not in skills:\n",
    "                    skills.append(clean_skill)\n",
    "    elif type(s) in types.StringTypes:\n",
    "        tokens = [ t.lower().strip() for t in s.split(\":\") ]\n",
    "        prefix = tokens[:-1]\n",
    "        skills = []\n",
    "        for skill in [ skill.lower().strip() for skill in tokens[-1].split(\",\") ]:\n",
    "            if skill is not None and skill not in skills:\n",
    "                clean_skill = \":\".join([ x for x in prefix + [skill] ])\n",
    "                #if clean_skill in skills:\n",
    "                #    raise Exception(\"Cleaned version of '%s' duplicates an existing value! (%s)\" % (skill,clean_skill))\n",
    "                skills.append(clean_skill)\n",
    "            else:\n",
    "                raise Exception(\"Malformed skill string '%s'\" % skill)\n",
    "    else:\n",
    "        raise Exception(\"Cannot parse skill string of incompatible type %s: %s\" % (type(s),s))\n",
    "    return skills"
   ]
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   "source": [
    "```yaml\n",
    "Hello World:\n",
    "  Description: \"Write a script that prints 'hello world'\"\n",
    "  Provides:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Output: print\"\n",
    "```\n",
    "---\n",
    "```yaml\n",
    "Hello World (adding a variable):\n",
    "  Description: \"Write a script that prints a variable set to 'hello world' (or something else)\"\n",
    "  Extends:\n",
    "    - \"Hello World\"\n",
    "  Provides:\n",
    "    - \"Variable: overview, set\"\n",
    "    - \"String: variable interpolation\"\n",
    "```\n",
    "---\n",
    "\n",
    "```yaml\n",
    "What's Your Name?:\n",
    "  Description: \"Write a script that prompts for and prints a string\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Output: print\"\n",
    "    - \"Variable: overview, set\"\n",
    "  Provides:\n",
    "    - \"Input: CLI prompt\"\n",
    "    - \"String: variable interpolation\"\n",
    "```"
   ]
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    "library_yaml = \"\"\"\n",
    "---\n",
    "Hello World:\n",
    "  Provides: \n",
    "    - \"Output: print\"\n",
    "    \n",
    "Hello X (custom msg):\n",
    "  Requires: \n",
    "    - \"Output: print\"\n",
    "  Provides:\n",
    "    - \"Variables: set, get\"\n",
    "    \n",
    "What's Your Name?:\n",
    "  Requires:\n",
    "    - \"Output: print\"\n",
    "  Provides:\n",
    "    - \"Input: prompt: CLI\"\n",
    "    \n",
    "Say Hello 10 Times:\n",
    "  Requires:\n",
    "    - \"Output: print\"\n",
    "  Provides: \n",
    "    - \"Control: while\"\n",
    "    \n",
    "Solve Simple Math Problems:\n",
    "  Requires: \n",
    "    - \"Output: print\"\n",
    "  Provides:\n",
    "    - \"Math: add, subtract, multiply, divide\"\n",
    "    \n",
    "Solve Fancier Math Problems:\n",
    "  Extends: \n",
    "    - \"Solve Simple Math Problems\"\n",
    "  Provides:\n",
    "    - \"Math: exponents, modulo\"\n",
    "    \n",
    "Roll the Dice:\n",
    "  Requires:\n",
    "    - \"Variables: set, get\"\n",
    "    - \"Math: modulo\"\n",
    "  Provides:\n",
    "    - \"Control: if, else\"\n",
    "    - \"Random: random.rand\"\n",
    "    \n",
    "A Questionably Designed Project:\n",
    "  Requires:\n",
    "    - \"Networking: sockets\"\n",
    "    - \"Graphics: 3D modeling: wireframes\"\n",
    "    - \"Sound: Music: composition\"\n",
    "  Provides:\n",
    "    - \"Math: modulo\"\n",
    "    \n",
    "Simple Menu:\n",
    "  Requires:\n",
    "    - \"Output: print\"\n",
    "    - \"Input: prompt: CLI\"\n",
    "    - \"Control: while, if, else\"\n",
    "\"\"\""
   ]
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    "big_library_yaml = \"\"\"\n",
    "---\n",
    "Hello World:\n",
    "  Description: \"Write a script that prints 'hello world'\"\n",
    "  Provides:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Output: print\"\n",
    "    \n",
    "Hello World (adding a variable):\n",
    "  Description: \"Write a script that prints a variable set to 'hello world' (or something else)\"\n",
    "  Extends: \n",
    "    - \"Hello World\"\n",
    "  Provides:\n",
    "    - \"Variable: overview, set\"\n",
    "    - \"String: variable interpolation\"\n",
    "  \n",
    "What's Your Name?:\n",
    "  Description: \"Write a script that prompts for and prints a string\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Output: print\"\n",
    "    - \"Variable: overview, set\"\n",
    "  Provides:\n",
    "    - \"Input: CLI prompt\"\n",
    "    - \"String: variable interpolation\"\n",
    "    \n",
    "Ask Anything:\n",
    "  Description: \"Write a function that prints an arbitrary prompt and returns the response\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Input: CLI prompt\"\n",
    "    - \"String: variable interpolation\"\n",
    "    - \"Output: print\"\n",
    "  Provides:\n",
    "    - \"Functions: overview, arguments, return\"\n",
    "    \n",
    "Smarter Ask Anything:\n",
    "  Description: \"Add output that varies by response to Ask Anything\"\n",
    "  Extends:\n",
    "    - \"Ask Anything\"\n",
    "  Provides:\n",
    "    - \"Control: if, elif, else\"\n",
    "    \n",
    "Logging Ask Anything:\n",
    "  Description: \"Add conversation log file to Smarter Ask Anything\"\n",
    "  Extends:\n",
    "    - \"Smarter Ask Anything\"\n",
    "  Provides:\n",
    "    - \"Output: file\"\n",
    "    \n",
    "String Tokenizer:\n",
    "  Description: \"Parse a list of comma-separated values and print them individually\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Output: print\"\n",
    "  Provides:\n",
    "    - \"Input: CLI arguments\"\n",
    "    - \"String: split\"\n",
    "    - \"String: variable interpolation\"\n",
    "    \n",
    "Simple Calculator:\n",
    "  Description: \"Accept simple RPN expressions as arguments and print result\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Output: print\"\n",
    "    - \"Control: if, elif, else\"\n",
    "  Provides:\n",
    "    - \"Input: CLI arguments\"\n",
    "    - \"String: split\"\n",
    "    - \"String: variable interpolation\"\n",
    "    - \"Math: arithmetic\"\n",
    "    \n",
    "Re-usable Calculator:\n",
    "  Description: \"Extend the Simple Calculator project so it can be executed or imported as a module\"\n",
    "  Extends:\n",
    "    - \"Simple Calculator\"\n",
    "  Provides:\n",
    "    - \"Module: overview, create, import\"\n",
    "    - \"Script: Importable\"\n",
    "    \n",
    "Simple Menu:\n",
    "  Description: \"Write a program the prompts the user to select options from a menu\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Input: CLI prompt\"\n",
    "    - \"Output: print\"\n",
    "    - \"Function: overview, arguments, return\"\n",
    "  Provides:\n",
    "    - \"Loop: while\"\n",
    "    - \"Input: CLI Menu\"\n",
    "    - \"Script: return\"  \n",
    "    - \"Output: stderr\"\n",
    "    \n",
    "Write Fibonacci numbers to a file:\n",
    "  Description: \"Write the first 100 Fibonacci numbers to a file called fibonacci.txt\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Loop: while\"\n",
    "    - \"Math: arithmetic\"\n",
    "  Provides: \n",
    "    - \"Output: file\"\n",
    "    \n",
    "FizzBuzz:\n",
    "  Description: \"The classic 'FizzBuzz' problem. https://en.wikipedia.org/wiki/Fizz_buzz\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Loop: for, range\"\n",
    "    - \"String: variable interpolation\"\n",
    "  Provides:\n",
    "    - \"Control: if, elif, else\"\n",
    "        \n",
    "Simple Text Adventure from XML data files:\n",
    "  Description: \"Read an XML file with descriptions of 'rooms', guide user through them\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Input: CLI prompt\"\n",
    "    - \"Control: if, else\"\n",
    "    - \"Function: definition, arguments, return values\"\n",
    "    - \"XML: overview\"\n",
    "    - \"Dictionary: creation\"\n",
    "    - \"Dictionary: Methods: keys, values, items\"\n",
    "    - \"Input: CLI Menu\"\n",
    "    - \"Input: file\"\n",
    "  Provides:\n",
    "    - \"Input: XML\"\n",
    "    - \"XML: Xpath: query by tag\"\n",
    "    - \"Class: overview, creation\"\n",
    "    - \"Class: Methods: __init__, __repr__\"\n",
    "  \n",
    "Debugging with Decorators:\n",
    "  Description: \"Write a program with function decorators for optional error logging\"\n",
    "  Requires:\n",
    "    - \"Script: edit, make executable\"\n",
    "    - \"Function: arguments, return values\"\n",
    "  Provides:\n",
    "    - \"Functions: decorators\"\n",
    "    - \"Output: stderr\"\n",
    "  \n",
    "Flask Hello World:\n",
    "  Description: \"Write a Flask web application that displays 'Hello World'\"\n",
    "  Requires:\n",
    "    - \"Strings: variable interpolation\"\n",
    "    - \"Function: decorators\"\n",
    "    - \"Function: return values\"\n",
    "  Provides:\n",
    "    - \"Flask: create app\"\n",
    "    - \"Script: importable\"\n",
    "    - \"String: concatenation\"\n",
    "    \n",
    "Flask What's Your Name?:\n",
    "  Description: \"Write a Flask web application that prompts for a string and displays a customized response\"\n",
    "  Requires:\n",
    "    - \"Flask: Create app\"\n",
    "    - \"String: variable interpolation\"\n",
    "  Provides:\n",
    "    - \"AJAX: overview\"\n",
    "    - \"Flask: Input: form\"\n",
    "    - \"Flask: Output: update div\"\n",
    "    \n",
    "Adapt your text adventure for the web:\n",
    "  Description: \"Adapt the Simple Text Adventure project into a Flask web application\"\n",
    "  Extends:\n",
    "    - \"Simple Text Adventure from XML data files\"\n",
    "  Requires:\n",
    "    - \"Script: Importable\"\n",
    "    - \"Flask: Create app\"\n",
    "    - \"AJAX: overview\"\n",
    "    - \"Flask: Input: form\"\n",
    "    - \"Flask: Output: update div\"\n",
    "\"\"\""
   ]
  },
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    "# Class `ProjectLibary`\n",
    "* Initialized with: `projects {}`\n",
    "* Important properties:\n",
    "  * Basically A bunch of indexes hashes: `THING_by_KEY`\n",
    "    * `projects_by_skills_required`\n",
    "    * `projects_by_skills_provided`\n",
    "    * `skills_provided_by_project`\n",
    "    * `skills_required_by_project`\n",
    "  * ...*but* always exposed via methods."
   ]
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    "import yaml\n",
    "class ProjectLibrary(object):\n",
    "    @staticmethod\n",
    "    def from_yaml_file(fn):        \n",
    "        swagifacts_yml = open(fn,\"r\").read()\n",
    "        return ProjectLibrary.from_yaml(swagifacts_yml)\n",
    "            \n",
    "    @staticmethod\n",
    "    def from_yaml(yaml_text):\n",
    "        return ProjectLibrary(yaml.load(yaml_text))  \n",
    "        \n",
    "    def __init__(self,projects={}):\n",
    "        self.skills_provided_by_project = {}\n",
    "        self.projects_by_skill_provided = {}\n",
    "        self.skills_required_by_project = {}\n",
    "        self.projects_by_skill_required = {}\n",
    "        self.project_dependencies = {}\n",
    "        self.projects_raw = {}\n",
    "        self.add_projects(projects)\n",
    "        \n",
    "    def add_projects(self,projects):\n",
    "        projects = clean_strings(projects)\n",
    "        self.projects_raw.update(projects)\n",
    "        (self.skills_provided_by_project,\n",
    "         self.skills_required_by_project,\n",
    "         self.projects_by_skill_required,\n",
    "         self.projects_by_skill_provided,\n",
    "         self.projects_that_extend,\n",
    "         self.projects_extended_by\n",
    "         ) = self._index_projects()\n",
    "                     \n",
    "    def _index_projects(self,projects=None,follow_extensions=False):\n",
    "        if projects is None:\n",
    "            projects = self.project_data()\n",
    "         \n",
    "        skills_provided_by_project = {}\n",
    "        skills_required_by_project = {}\n",
    "        projects_by_skill_required = {}\n",
    "        projects_by_skill_provided = {}\n",
    "        projects_that_extend = {}\n",
    "        projects_extended_by = {}\n",
    "        \n",
    "        for project_name,props in projects.items():\n",
    "            #(provides,requires) = self.get_skills(project_name,follow_extensions)\n",
    "            provides = self.skills_provided_by(project_name,follow_extensions)\n",
    "            requires = self.skills_required_by(project_name,follow_extensions)\n",
    "            \n",
    "            skills_provided_by_project[project_name] = set()\n",
    "            for skill in provides:\n",
    "                skills_provided_by_project[project_name].add(skill)\n",
    "                if not projects_by_skill_provided.has_key(skill):\n",
    "                    projects_by_skill_provided[skill] = set()\n",
    "                projects_by_skill_provided[skill].add(project_name)\n",
    "                \n",
    "            skills_required_by_project[project_name] = set()\n",
    "            for skill in requires:\n",
    "                skills_required_by_project[project_name].add(skill)\n",
    "                if not projects_by_skill_required.has_key(skill):\n",
    "                    projects_by_skill_required[skill] = set()\n",
    "                projects_by_skill_required[skill].add(project_name)\n",
    "                    \n",
    "            projects_extended_by[project_name] = set()\n",
    "            if props.has_key('extends'):\n",
    "                for extends in (props['extends']):\n",
    "                    projects_extended_by[project_name].add(extends)\n",
    "                    if not projects_that_extend.has_key(extends):\n",
    "                        projects_that_extend[extends] = set()\n",
    "                    projects_that_extend[extends].add(project_name)\n",
    "         \n",
    "        return(skills_provided_by_project,\n",
    "            skills_required_by_project,\n",
    "            projects_by_skill_required,\n",
    "            projects_by_skill_provided,\n",
    "            projects_that_extend,\n",
    "            projects_extended_by)\n",
    "    \n",
    "    def project_data(self):\n",
    "        return self.projects_raw\n",
    "    \n",
    "    def project_names(self):\n",
    "        return self.projects_raw.keys()\n",
    "    \n",
    "    def skills_verbed_by(self,project_name,skill_verb,follow_extensions=False):\n",
    "        project_name = clean_string(project_name)\n",
    "        project_data = self.projects_raw[project_name]\n",
    "        skills = set()\n",
    "        if project_data.has_key(skill_verb):\n",
    "            skills.update(clean_strings(project_data[skill_verb]))\n",
    "        if follow_extensions and project_data.has_key(\"extends\"):\n",
    "            for extends in project_data[\"extends\"]:\n",
    "                e = self.get_skills_verbed(extends,skill_verb,follow_extensions)\n",
    "                skills.update(e)               \n",
    "        return skills\n",
    "    \n",
    "    def skills_required_by(self,project_name,follow_extensions=False):\n",
    "        return self.skills_verbed_by(project_name,\"requires\",follow_extensions)\n",
    "    \n",
    "    def skills_provided_by(self,project_name,follow_extensions=False):\n",
    "        return self.skills_verbed_by(project_name,\"provides\",follow_extensions)\n",
    "        \n",
    "    def projects_that_provide(self,skill):\n",
    "        res = set()\n",
    "        for skill in clean_strings(skill):\n",
    "            res.update(self.projects_by_skill_provided.get(skill,[]))\n",
    "        return res\n",
    "    \n",
    "    def projects_that_require(self,skill):\n",
    "        res = set()\n",
    "        for skill in clean_strings(skill):\n",
    "            res.update(self.projects_by_skill_required.get(skill,[]))\n",
    "        return res     \n",
    "    \n",
    "    def assessments_for(self, desired_skills, relevance_weight=1, completeness_weight=1, quality_weight=1, overlap_weight=1):\n",
    "        desired_skills         = clean_strings(desired_skills)\n",
    "        orphan_skills          = set()\n",
    "        candidate_projects     = set() \n",
    "        project_relevance      = {}\n",
    "        project_completeness   = {}\n",
    "        project_skills_overlap = {}\n",
    "        project_quality = {}\n",
    "        \n",
    "        for skill in desired_skills:\n",
    "            required_by = self.projects_that_require(skill)\n",
    "            if len(required_by) == 0:\n",
    "                orphan_skills.add(skill)\n",
    "                continue\n",
    "                \n",
    "            shared_with_cnt = len(required_by) - 1\n",
    "            for project in required_by:\n",
    "                # Update the list of projects to be scored\n",
    "                candidate_projects.add(project)\n",
    "                \n",
    "                # Update the number of relevant skills for this project.\n",
    "                # This is not the final relevance score. It will be used to \n",
    "                # calculate, and will then be replaced with, the actual \n",
    "                # relevance score in the next loop.\n",
    "                if not project_relevance.has_key(project):\n",
    "                    project_relevance[project] = 0\n",
    "                project_relevance[project] += 1     \n",
    "                \n",
    "                # Note how many other candidate projects required this skill\n",
    "                if not project_skills_overlap.has_key(project):\n",
    "                    project_skills_overlap[project] = {}\n",
    "                if not project_skills_overlap[project].has_key(shared_with_cnt):\n",
    "                    project_skills_overlap[project][shared_with_cnt] = set()\n",
    "                project_skills_overlap[project][shared_with_cnt].add(skill) \n",
    "                \n",
    "        # Now that we have the number of relevant skills for each\n",
    "        # project, iterate once more and compare that to the total\n",
    "        # number of skills required to get a relevance score\n",
    "        for project in candidate_projects:\n",
    "            required = self.skills_required_by(project)\n",
    "            required_cnt = float(len(required))\n",
    "            relevant_cnt = float(project_relevance[project])\n",
    "            # % of required skills that are on the desired list\n",
    "            project_relevance[project] = (relevant_cnt / required_cnt)\n",
    "            project_relevance[project] *= relevance_weight\n",
    "            # % of desired skills required by this project\n",
    "            project_completeness[project] = (relevant_cnt / len(desired_skills))\n",
    "            project_completeness[project] *= completeness_weight\n",
    "            # Quality metric based on \n",
    "            provided_cnt = float(len(self.skills_provided_by(project)))\n",
    "            project_quality[project] = 1.0 / (1+(float(provided_cnt)/required_cnt))\n",
    "            project_quality[project] *= quality_weight\n",
    "            \n",
    "        # Build a frequency distribution map showing how\n",
    "        # many skills are shared between projects\n",
    "        #project_skills_overlap = self.project_skills_overlap(desired_skills,candidate_projects)\n",
    "                \n",
    "        maxloops = 10\n",
    "        for loop in xrange(0,maxloops+1):\n",
    "            dbg(\"Beginning loop %s\" % loop)\n",
    "            dbg_indent()\n",
    "            \n",
    "            # Calculate scores\n",
    "            projects_by_score = {}\n",
    "            for project in candidate_projects:\n",
    "                \n",
    "                # % of required skills that are on the desired list\n",
    "                relevance = project_relevance[project]\n",
    "                \n",
    "                # % of desired skills required by this project\n",
    "                completeness = project_completeness[project]\n",
    "                \n",
    "                # Ratio of skills assessed to skills taught.\n",
    "                # A good assessment does more assessment of existing skills\n",
    "                # than teaching of new ones\n",
    "                quality = project_quality[project]\n",
    "                    \n",
    "                # tiebreaker based on how many relevant skills are shared \n",
    "                # with other candidates, combined with the quality metric\n",
    "                overlap = quality \n",
    "                for frequency,skills in project_skills_overlap[project].items():\n",
    "                    overlap += frequency * len(skills)\n",
    "                \n",
    "                # Calculate the base score...\n",
    "                score = relevance + completeness + quality\n",
    "                \n",
    "                # ...but if all of the skills required by this project\n",
    "                # are also provided by other projects, make it a \n",
    "                # candidate for removal. This is indicated by a\n",
    "                # negative score, with worse scores further from\n",
    "                # zero than good scores.\n",
    "                if not project_skills_overlap[project].has_key(0):\n",
    "                    score = -1.0 / score\n",
    "                    \n",
    "                dbg(\"Score for %s = %s, from base score %s = rel(%s) * com(%s), qul(%s)\" % (\n",
    "                        project,score,relevance*completeness*quality,relevance,completeness,quality))\n",
    "                dbg(\"Overlap for %s is %s, based on %s\" % (project,overlap,project_skills_overlap[project]),sev=2)\n",
    "                if not projects_by_score.has_key(score):\n",
    "                    projects_by_score[score] = {}\n",
    "                if not projects_by_score[score].has_key(overlap):\n",
    "                    projects_by_score[score][overlap] = set()\n",
    "                projects_by_score[score][overlap].add(project)\n",
    "            \n",
    "            # If the project with the lowest score is negative, that project\n",
    "            # is also redundant and can be removed from the list of candidates\n",
    "            worst_score = sorted(projects_by_score.keys())[0]\n",
    "            if worst_score < 0:\n",
    "                worst_overlap = sorted(projects_by_score[worst_score].keys())[0]\n",
    "                # Orf wif its head!\n",
    "                ded = projects_by_score[worst_score][worst_overlap].pop()\n",
    "                candidate_projects.remove(ded)\n",
    "                for overlap,skills in project_skills_overlap[ded].items():\n",
    "                    new_overlap = overlap - 1\n",
    "                    for skill in skills:\n",
    "                        for project in self.projects_that_require(skill).intersection(candidate_projects):\n",
    "                            if not project_skills_overlap[project].has_key(new_overlap):\n",
    "                                project_skills_overlap[project][new_overlap] = set()\n",
    "                            project_skills_overlap[project][overlap].remove(skill)\n",
    "                            project_skills_overlap[project][new_overlap].add(skill)\n",
    "                del(project_skills_overlap[ded])\n",
    "                \n",
    "                dbg(\"Removing %s with score %s, overlap %s\" % (ded,worst_score,worst_overlap))\n",
    "                if len(projects_by_score[worst_score][worst_overlap]) == 0:\n",
    "                    del(projects_by_score[worst_score][worst_overlap])\n",
    "                    if len(projects_by_score[worst_score]) == 0:\n",
    "                        del(projects_by_score[worst_score])\n",
    "            else:\n",
    "                dbg(\"All remaining projects have at least one unique requirement; Can't remove any more!\")\n",
    "                dbg_outdent()\n",
    "                break\n",
    "                \n",
    "            dbg(\"Candidates at end of loop %s: %s\" % (loop,\", \".join(candidate_projects)))\n",
    "            if loop == maxloops:\n",
    "                dbg(\"Maximum loops hit! There may be a problem.\")\n",
    "                \n",
    "            dbg_outdent()\n",
    "          \n",
    "        return (candidate_projects,orphan_skills)\n",
    "    \n",
    "    def as_graph(self,fmt=None):\n",
    "        return LibraryGraph(self,fmt)\n",
    "            \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Class `ProjectLibrary`\n",
    "## Example usage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "library = ProjectLibrary.from_yaml(library_yaml)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'hello world'}"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "library.projects_that_provide(\"Output: print\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'hello x (custom msg)',\n",
       " 'say hello 10 times',\n",
       " 'simple menu',\n",
       " 'solve simple math problems',\n",
       " \"what's your name?\"}"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "library.projects_that_require(\"Output: print\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'output:print'}"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Look up skills by project\n",
    "library.skills_required_by(\"solve simple math problems\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'math:add', 'math:divide', 'math:multiply', 'math:subtract'}"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "library.skills_provided_by(\"solve simple math problems\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Task Two:  where do you want to go?\n",
    "**Given:** a set of desired skills\n",
    "\n",
    "**Produce:** the smallest set of assessment projects that collectively test them all \n",
    "\n",
    "   *(bonus: favor projects with overlapping requirements)*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# What makes a good assessment?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "### How would you assess the ability to use `output: print`?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "library = ProjectLibrary.from_yaml(\"\"\"\n",
    "---\n",
    "Hello World:\n",
    "  Description: \"Print the string 'Hello World' (or something else)\"\n",
    "  Provides: \n",
    "    - \"Output: print\"\n",
    "    \n",
    "What's Your Name?:\n",
    "  Description: \"Prompt the user for a name, then greet them by name\"\n",
    "  Requires:\n",
    "    - \"Output: print\"\n",
    "  Provides:\n",
    "    - \"Variables: set, get\"\n",
    "    - \"Input: prompt: CLI\"\n",
    "    - \"String: variable interpolation\"\n",
    "    \n",
    "Say Hello 10 Times:\n",
    "  Description: \"Print the string 'Hello World' (or something else) ten times, using a while loop\"\n",
    "  Requires:\n",
    "    - \"Output: print\"\n",
    "  Provides: \n",
    "    - \"Loop: while\"\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "({'say hello 10 times'}, set())"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Outputs (set(recommended assesments...), set(unmatched skills...))\n",
    "library.assessments_for(\"output: print\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "## Factor 1:  application vs introduction of skills\n",
    "*\"Is this project more about introducing (`provides`) or applying (`requires`) skills?\"*\n",
    "\n",
    "\n",
    "$$\\frac{1}{1+\\frac{\\#\\ skills\\ taught}{\\#\\ skills\\ required}}$$\n",
    "\n",
    "(the weird fraction limits the weight of this to <= 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### How would you assess for  `math: modulo`?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "library = ProjectLibrary.from_yaml(\"\"\"\n",
    "---\n",
    "Simple Calculator:\n",
    "  Description: \"Accept simple RPN expressions as arguments and print result\"\n",
    "  Requires:\n",
    "    - \"Control: if, elif, else\"\n",
    "    - \"Math: add, subtract, multiply, divide\"\n",
    "  Provides:\n",
    "    - \"Input: CLI arguments\"\n",
    "    - \"String: tokenize\"\n",
    "    - \"String: variable interpolation\"\n",
    "    \n",
    "Roll the Dice:\n",
    "  Description: \"Generate results from a virtual X-sided die\"\n",
    "  Requires:\n",
    "    - \"Math: modulo\"\n",
    "  Provides:\n",
    "    - \"Random: random.rand\"\n",
    "    \n",
    "FizzBuzz:\n",
    "  Description: \"The classic 'FizzBuzz' problem. https://en.wikipedia.org/wiki/Fizz_buzz\"\n",
    "  Requires:\n",
    "    - \"Loop: for, range\"\n",
    "    - \"String: variable interpolation\"\n",
    "    - \"Math: modulo\"\n",
    "    - \"Control: if, elif, else\"\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(set(['roll the dice']), set([]))\n"
     ]
    }
   ],
   "source": [
    "print library.assessments_for(\"math:modulo\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Why not `FizzBuzz`?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "## Factor 2:  Relevance\n",
    "*\"How many of the skills required by this project do I actually want to  assess?\"*\n",
    "\n",
    "\n",
    "\n",
    "$$\\frac{intersection(required\\ by\\ project,\\ desired\\ for\\  assessment)}{required\\ by\\ project}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## How would you assess for `math:modulo` *and* `control: if, else`?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "library = ProjectLibrary.from_yaml(\"\"\"\n",
    "---\n",
    "Simple Calculator:\n",
    "  Description: \"Accept simple RPN expressions as arguments and print result\"\n",
    "  Requires:\n",
    "    - \"Control: if, elif, else\"\n",
    "    - \"Math: add, subtract, multiply, divide\"\n",
    "  Provides:\n",
    "    - \"Input: CLI arguments\"\n",
    "    - \"String: tokenize\"\n",
    "    - \"String: variable interpolation\"\n",
    "\n",
    "Roll the Dice:\n",
    "  Description: \"Generate results from a virtual X-sided die\"\n",
    "  Requires:\n",
    "    - \"Math: modulo\"\n",
    "  Provides:\n",
    "    - \"Random: random.rand\"\n",
    "    \n",
    "FizzBuzz:\n",
    "  Description: \"The classic 'FizzBuzz' problem. https://en.wikipedia.org/wiki/Fizz_buzz\"\n",
    "  Requires:\n",
    "    - \"Loop: for, range\"\n",
    "    - \"String: variable interpolation\"\n",
    "    - \"Math: modulo\"\n",
    "    - \"Control: if, elif, else\"\n",
    "\n",
    "Personalized Greetings:\n",
    "  Description: \"Prompt for a name, deliver special greetings for recognized names\"\n",
    "  Requires:\n",
    "    - \"Input: CLI: prompt\"\n",
    "    - \"Control: if, elif, else\"\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(set(['fizzbuzz']), set([]))\n"
     ]
    }
   ],
   "source": [
    "print library.assessments_for((\"math:modulo\",\"control:if,else\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Why not `Roll the Dice` and `Personalized Greetings`?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "## Factor 3: Completeness\n",
    "\n",
    "$$\\frac{\\#\\ desired\\ for\\ assessment}{\\#\\ required\\ by\\ project}$$\n",
    "\n",
    "* **`completeness`** = % of desired skills required by this project"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## How would you assess for `skill: a,b,c,d,e`?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "library = ProjectLibrary.from_yaml(\"\"\"\n",
    "---\n",
    "Project 1:\n",
    "  Requires:\n",
    "    - \"skill: A\"\n",
    "    \n",
    "Project 2:\n",
    "  Requires:\n",
    "    - \"skill: B, C\"\n",
    "    \n",
    "Project 3:\n",
    "  Requires:\n",
    "    - \"skill: B, C, D\"\n",
    "    \n",
    "Project 4:\n",
    "  Requires:\n",
    "    - \"skill: D, E\"\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(set(['project 4', 'project 3', 'project 1']), set([]))\n"
     ]
    }
   ],
   "source": [
    "print library.assessments_for((\"skill: a,b,c,d,e\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Why `project 3` instead of `project 2`?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "## Tiebreaker: Overlap\n",
    "\n",
    "\n",
    "\n",
    "*\"All other things being equal, how many of the project's skills are shared by other projects?\"*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "`score` = **`relevance`** + **`completeness`** + **`assessment_quality`**  ( + `overlap`) (\\* weights)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "*...but the score is only part of it!*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# The algorithm:\n",
    "1. Collect projects that require at least one desired skill\n",
    "1. Calculate base scores (relevance, completion, quality) for each\n",
    "1. Loop:\n",
    "  1. Calculate overlaps:\n",
    "  ```\n",
    "  project_skills_overlap = {\n",
    "      \"project 1\": {\n",
    "         0: [\"skill: a\"]\n",
    "       },\n",
    "       \"project 2\": {\n",
    "         1: [\"skill: b\", \"skill: c\"]\n",
    "       },\n",
    "       \"project 3\": {\n",
    "         1: [\"skill: b\", \"skill: c\", \"skill: d\"]\n",
    "       }\n",
    "       \"project 4\": {\n",
    "         0: [\"skill: e\"],\n",
    "         1: [\"skill: d\"]\n",
    "       }\n",
    "   }\n",
    "     ```\n",
    "  1. For projects with no un-shared required skills, $score = \\frac{-1}{score}$\n",
    "  1. Is the lowest score negative?\n",
    "    * YES: Remove the project with that score. Lowest overlap loses if there is a tie. Then, loop.\n",
    "    * NO: Break.\n",
    "    \n",
    "Remaining list is the optimal set of assessments."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DBG: Beginning loop 0\n",
      "DBG:     Score for what's your name? = -0.4, from base score 0.5 = rel(1.0) * com(1.0), qul(0.5)\n",
      "DBG:     Overlap for what's your name? is 4.5, based on {4: set(['output:print'])}\n",
      "DBG:     Score for simple menu = -0.454545454545, from base score 0.2 = rel(0.2) * com(1.0), qul(1.0)\n",
      "DBG:     Overlap for simple menu is 5.0, based on {4: set(['output:print'])}\n",
      "DBG:     Score for hello x (custom msg) = -0.428571428571, from base score 0.333333333333 = rel(1.0) * com(1.0), qul(0.333333333333)\n",
      "DBG:     Overlap for hello x (custom msg) is 4.33333333333, based on {4: set(['output:print'])}\n",
      "DBG:     Score for say hello 10 times = -0.4, from base score 0.5 = rel(1.0) * com(1.0), qul(0.5)\n",
      "DBG:     Overlap for say hello 10 times is 4.5, based on {4: set(['output:print'])}\n",
      "DBG:     Score for solve simple math problems = -0.454545454545, from base score 0.2 = rel(1.0) * com(1.0), qul(0.2)\n",
      "DBG:     Overlap for solve simple math problems is 4.2, based on {4: set(['output:print'])}\n",
      "DBG:     Removing solve simple math problems with score -0.454545454545, overlap 4.2\n",
      "DBG:     Candidates at end of loop 0: what's your name?, simple menu, hello x (custom msg), say hello 10 times\n",
      "DBG: Beginning loop 1\n",
      "DBG:     Score for what's your name? = -0.4, from base score 0.5 = rel(1.0) * com(1.0), qul(0.5)\n",
      "DBG:     Overlap for what's your name? is 3.5, based on {3: set(['output:print']), 4: set([])}\n",
      "DBG:     Score for simple menu = -0.454545454545, from base score 0.2 = rel(0.2) * com(1.0), qul(1.0)\n",
      "DBG:     Overlap for simple menu is 4.0, based on {3: set(['output:print']), 4: set([])}\n",
      "DBG:     Score for hello x (custom msg) = -0.428571428571, from base score 0.333333333333 = rel(1.0) * com(1.0), qul(0.333333333333)\n",
      "DBG:     Overlap for hello x (custom msg) is 3.33333333333, based on {3: set(['output:print']), 4: set([])}\n",
      "DBG:     Score for say hello 10 times = -0.4, from base score 0.5 = rel(1.0) * com(1.0), qul(0.5)\n",
      "DBG:     Overlap for say hello 10 times is 3.5, based on {3: set(['output:print']), 4: set([])}\n",
      "DBG:     Removing simple menu with score -0.454545454545, overlap 4.0\n",
      "DBG:     Candidates at end of loop 1: what's your name?, hello x (custom msg), say hello 10 times\n",
      "DBG: Beginning loop 2\n",
      "DBG:     Score for what's your name? = -0.4, from base score 0.5 = rel(1.0) * com(1.0), qul(0.5)\n",
      "DBG:     Overlap for what's your name? is 2.5, based on {2: set(['output:print']), 3: set([]), 4: set([])}\n",
      "DBG:     Score for hello x (custom msg) = -0.428571428571, from base score 0.333333333333 = rel(1.0) * com(1.0), qul(0.333333333333)\n",
      "DBG:     Overlap for hello x (custom msg) is 2.33333333333, based on {2: set(['output:print']), 3: set([]), 4: set([])}\n",
      "DBG:     Score for say hello 10 times = -0.4, from base score 0.5 = rel(1.0) * com(1.0), qul(0.5)\n",
      "DBG:     Overlap for say hello 10 times is 2.5, based on {2: set(['output:print']), 3: set([]), 4: set([])}\n",
      "DBG:     Removing hello x (custom msg) with score -0.428571428571, overlap 2.33333333333\n",
      "DBG:     Candidates at end of loop 2: what's your name?, say hello 10 times\n",
      "DBG: Beginning loop 3\n",
      "DBG:     Score for what's your name? = -0.4, from base score 0.5 = rel(1.0) * com(1.0), qul(0.5)\n",
      "DBG:     Overlap for what's your name? is 1.5, based on {1: set(['output:print']), 2: set([]), 3: set([]), 4: set([])}\n",
      "DBG:     Score for say hello 10 times = -0.4, from base score 0.5 = rel(1.0) * com(1.0), qul(0.5)\n",
      "DBG:     Overlap for say hello 10 times is 1.5, based on {1: set(['output:print']), 2: set([]), 3: set([]), 4: set([])}\n",
      "DBG:     Removing what's your name? with score -0.4, overlap 1.5\n",
      "DBG:     Candidates at end of loop 3: say hello 10 times\n",
      "DBG: Beginning loop 4\n",
      "DBG:     Score for say hello 10 times = 2.5, from base score 0.5 = rel(1.0) * com(1.0), qul(0.5)\n",
      "DBG:     Overlap for say hello 10 times is 0.5, based on {0: set(['output:print']), 1: set([]), 2: set([]), 3: set([]), 4: set([])}\n",
      "DBG:     All remaining projects have at least one unique requirement; Can't remove any more!\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "({'say hello 10 times'}, set())"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "debug = 6\n",
    "library.assessments_for(goal_skills)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "debug = 0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Task 2 -- Find the path\n",
    "**Given:** a set of assessment projects\n",
    "\n",
    "**Produce:** the most efficient learning path that teaches all project prerequisites"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "*(bonus: factor what the student already knows into the starting point)*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Solution: treat `ProjectLibrary` like a graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "# %load swagmap_generator\n",
    "import yaml, igraph\n",
    "\n",
    "class LibraryGraphFormat(object):\n",
    "    def __init__(self,formatting=None):\n",
    "        self.colors = {\n",
    "            \"project\":\"cyan\",\n",
    "            \"skill\":\"lightgreen\",\n",
    "            \"state\":\"green\",\n",
    "            \"provides\":\"gray\",\n",
    "            \"requires\":\"gray\",\n",
    "            \"extends\":\"lightgray\"\n",
    "            }\n",
    "        self.arrow_sizes = {\n",
    "            \"provides\": 0,\n",
    "            \"requires\": .5,\n",
    "            \"extends\": .5\n",
    "            }\n",
    "        self.font_sizes = {\n",
    "            \"project\":20,\n",
    "            \"skill\":10,\n",
    "            \"state\":30\n",
    "            }\n",
    "        self.graph_style = {\n",
    "            \"vertex_label_size\" : 12, \n",
    "            \"vertex_label_dist\" : 1, \n",
    "            \"edge_label_size\" : 8,\n",
    "        }\n",
    "        self.layout_style = \"fr\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "class LibraryGraph(object):\n",
    "    def __init__(self,library,fmt=None):\n",
    "        self.library = library\n",
    "        if fmt is None:\n",
    "            fmt = LibraryGraphFormat()\n",
    "        self.fmt = fmt\n",
    "        self.graph = None\n",
    "        self.generate() # Initialize graph\n",
    "            \n",
    "    def generate(self,reset=False):\n",
    "        if self.graph is None or reset:\n",
    "            g = igraph.Graph(directed=True)\n",
    "            g.add_vertex(\"root\",label=\"START\",noun=\"state\")\n",
    "            skills = set()\n",
    "            for project,props in self.library.project_data().items():\n",
    "                requires = props.get(\"requires\",[])\n",
    "                provides = props.get(\"provides\",[])\n",
    "                extends  = props.get(\"extends\",[])\n",
    "                description = props.get(\"description\",\"No description\")\n",
    "                g.add_vertex(\n",
    "                    project,\n",
    "                    label=project,\n",
    "                    noun=\"project\",\n",
    "                    requires=requires,\n",
    "                    provides=provides,\n",
    "                    extends=extends,\n",
    "                    description=description\n",
    "                )\n",
    "                skills.update(requires)\n",
    "                skills.update(provides)\n",
    "            for skill in skills:\n",
    "                g.add_vertex(skill,label=skill,noun=\"skill\")\n",
    "                   \n",
    "            for project,props in self.library.project_data().items():\n",
    "                provides = props.get(\"provides\",[])\n",
    "                extends  = props.get(\"extends\",[])\n",
    "                requires = props.get(\"requires\",[])\n",
    "                #requires += extends\n",
    "                if len(requires) + len(extends) == 0:\n",
    "                    requires = [\"root\"]\n",
    "                for skill in requires:\n",
    "                    g.add_edge(skill,project,verb=\"requires\")\n",
    "                for skill in provides:\n",
    "                    g.add_edge(project,skill,verb=\"provides\")\n",
    "                for extended_project in extends:\n",
    "                    g.add_edge(extended_project,project,verb=\"extends\")\n",
    "            \n",
    "            g.vs[\"color\"] = [self.fmt.colors[noun] for noun in g.vs[\"noun\"]]\n",
    "            g.es[\"color\"] = [self.fmt.colors[verb] for verb in g.es[\"verb\"]]\n",
    "            g.es[\"arrow_size\"] = [self.fmt.arrow_sizes[verb] for verb in g.es[\"verb\"]]\n",
    "            g.vs[\"size\"] = [self.fmt.font_sizes[noun] for noun in g.vs[\"noun\"]]\n",
    "            g.vs[\"label_color\"] = \"black\"\n",
    "            g.es[\"weight\"] = 0\n",
    "            self.graph = g\n",
    "            self.graph_layout = g.layout(self.fmt.layout_style)\n",
    "        return self.graph\n",
    "        \n",
    "    def render(self,reset=False):\n",
    "        g = self.generate(reset)\n",
    "        graph_style = self.fmt.graph_style\n",
    "        graph_style[\"layout\"] = self.graph_layout\n",
    "        return igraph.plot(g,**graph_style)\n",
    "             \n",
    "    def weight_by_relevance(self,skills):\n",
    "        pass\n",
    "    \n",
    "    def build_path_to(self,goal,start=None,selected=None,max_loops=10):\n",
    "        goal_name = clean_string(goal)\n",
    "        g = self.graph\n",
    "        \n",
    "        # Get the desired ending node\n",
    "        goal = g.vs.find(name=goal_name)\n",
    "        \n",
    "        # Find paths from zero knowledge by default\n",
    "        if start is None:\n",
    "            start = g.vs.find(name=\"root\")\n",
    "            \n",
    "        if selected is None:\n",
    "            selected = {\n",
    "                \"nodes\" : set(),\n",
    "                \"paths\" : [],\n",
    "            }\n",
    "            \n",
    "        selected[\"nodes\"].update([start.index,goal.index])\n",
    "            \n",
    "        dbg(\"BUILDING LESSON PLAN...\")\n",
    "        loop = 0\n",
    "        while True:    \n",
    "            loop += 1\n",
    "            \n",
    "            # (re-)set map colors\n",
    "            g.vs.select(color_eq=\"red\")[\"color\"] = \"cyan\"\n",
    "            g.vs.select(label_color_eq=\"red\")[\"label_color\"] = \"gray\"\n",
    "                \n",
    "            # For each project in the selected set, look for requirements that are not not provided\n",
    "            # by other projects in the set \n",
    "            unmet = set()\n",
    "            for project in g.vs[selected[\"nodes\"]].select(noun_eq=\"project\"):\n",
    "                project_unmet = [ r.index for r in g.vs.select(name_in=project[\"requires\"] + project[\"extends\"]) if r.index not in selected[\"nodes\"] ]\n",
    "                if len(project_unmet) != 0:\n",
    "                    dbg(\"  Pass %s: need to resolve unmet dependencies for '%s': %s\" % (loop,project[\"name\"],\", \".join([g.vs[d][\"name\"] for d in project_unmet])))\n",
    "                    unmet.update(project_unmet)\n",
    "                    g.vs[project_unmet][\"color\"] = \"red\"\n",
    "                    g.vs[project_unmet][\"label_color\"] = \"red\"\n",
    "                    \n",
    "            if loop >= max_loops:\n",
    "                dbg(\"EMERGENCY BRAKE! Maximum iterations reached\")\n",
    "                break\n",
    "                    \n",
    "            # When all requirements are accounted for by projects in the set, we're done!\n",
    "            if len(unmet) == 0:\n",
    "                dbg(\"DONE! (passes: %s)\" % loop)\n",
    "                break\n",
    "            \n",
    "            # Find the shortest path from start to each dependency.\n",
    "            # Along the way, we add weights to encourage future paths to overlap as much as possible\n",
    "            #dbg(\"   Getting paths for unmet dependencies:\\n    %s\" % \"\\n    \".join([g.vs[x][\"name\"] for x in unmet]) )\n",
    "            paths = g.get_shortest_paths(start, unmet, weights=\"weight\") \n",
    "            for path in paths:\n",
    "                if path not in selected[\"paths\"]:\n",
    "                    selected[\"paths\"].append(path)\n",
    "                # Give edges that connect to the selected path a small bonus\n",
    "                for project_on_path in g.vs[path].select(noun_eq=\"project\"):\n",
    "                    if project_on_path.index not in selected[\"nodes\"]:\n",
    "                        #dbg(\"  ADDING PROJECT: %s\" % project_on_path[\"name\"])\n",
    "                        selected[\"nodes\"].add(project_on_path.index)\n",
    "                        g.vs[project_on_path.index][\"color\"] = \"darkgreen\"\n",
    "                        for provides_edge in g.es.select(_source=project_on_path.index,verb_eq=\"provides\"):\n",
    "                            provides_skill = g.vs[provides_edge.target]\n",
    "                            if provides_skill[\"noun\"] != \"skill\":\n",
    "                                continue\n",
    "                            provides_edge[\"weight\"] += 10\n",
    "                            provides_edge[\"color\"] = \"green\"\n",
    "                            if provides_skill.index in unmet:\n",
    "                                dbg(\"    Project '%s' teaches required skill '%s'\" % (project_on_path[\"name\"],provides_skill[\"name\"]))\n",
    "                            else:\n",
    "                                dbg(\"    Project '%s' adds extraneous skill '%s'\" % (project_on_path[\"name\"],provides_skill[\"name\"]))\n",
    "                            selected[\"nodes\"].add(provides_skill.index)\n",
    "                # Give edges that are in the selected path a large bonus\n",
    "                # and highlight them on the graph\n",
    "                for path_taken in [ g.es[eid] for eid in g.get_eids(path=path) ]:\n",
    "                    path_taken[\"weight\"] += 50\n",
    "                    path_taken[\"color\"] = \"green\"\n",
    "                    \n",
    "        # Mark the final goal\n",
    "        for e in g.es.select(_target=goal.index):\n",
    "            e[\"color\"] = \"green\"\n",
    "        goal[\"color\"] = \"yellow\"\n",
    "        return selected\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "class LearningPlan(object):\n",
    "    def __init__(self,library,goals=[],fmt=None):\n",
    "        self.library = library\n",
    "        self.graph = self.library.as_graph(fmt)\n",
    "        self.selected = {\n",
    "            \"nodes\" : set(),\n",
    "            \"paths\" : [],\n",
    "        }\n",
    "        self.goals = goals\n",
    "        for g in self.goals:\n",
    "            self.add_goal(g)\n",
    "            \n",
    "    def render_graph(self):\n",
    "        return self.graph.render()\n",
    "            \n",
    "    def add_goal(self,goal):\n",
    "        if goal not in self.goals:\n",
    "            self.goals.append(goal)\n",
    "            self.selected = self.graph.build_path_to(goal, selected=self.selected)\n",
    "        return self.goals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600pt\" height=\"600pt\" viewBox=\"0 0 600 600\" version=\"1.1\">\n",
       "<defs>\n",
       "<g>\n",
       "<symbol overflow=\"visible\" id=\"glyph0-0\">\n",
       "<path style=\"stroke:none;\" d=\"\"/>\n",
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       "<igraph.drawing.Plot at 0x109af65d0>"
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     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lp = LearningPlan(library)\n",
    "lp.render_graph()"
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  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
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      "text/plain": [
       "<igraph.drawing.Plot at 0x10a831490>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lp.add_goal(\"Hello X (custom msg)\")\n",
    "lp.render_graph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
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      "text/plain": [
       "<igraph.drawing.Plot at 0x109f9f750>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lp.add_goal(\"solve fancier math problems\")\n",
    "lp.render_graph()"
   ]
  }
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