TimeKeeper/answerChecker2.php

<?php

/**
 * Checks submitted answers, updates the score and writes the report row.
 *
 * Changes from the current repo version:
 *  - one correctness decision ($correct, from isCorrect()) now drives the
 *    on-screen message, the score/minutes AND the report row. Before, the
 *    message and score used a strict === comparison while the report used
 *    isCorrect(), so "1.1" vs "1.10" showed as wrong but was logged correct
 *  - anagrams: the old retrieve('tk_wordList','word') returned a single value
 *    so findInList() looped over a string and never matched. Now an answer is
 *    accepted if it uses exactly the same letters AND is in the word list
 *  - 'rounding' had no case in the switch, so every rounding question hit
 *    "An error has been detected"; added with its messages
 *  - user-typed text is escaped before being shown
 *  - updateScore(): a brand-new user (retrieve() returns false) no longer
 *    increments keys on false or decrements null; user escaped in SQL
 *  - getDifficulty(): MPREFIX instead of `e107.`, user escaped, no null result
 *  - removed the broken, unused shortCode() and findInList()
 *  - a wrong answer takes a minute off but never below zero
 *  - fractions: the answer may be typed as 3/4, a mixed number (1 1/2), a whole number
 *    or an exact decimal (0.75); it must be in its simplest form, and a right value that
 *    isn't simplified (or isn't a mixed number when one was asked for) is marked wrong
 *    with a hint
 *  - a correct answer gets a friendlier, randomised message: a cheer, the answer
 *    worked out, the play minutes earned, and a streak of correct answers (the
 *    old "Congratulations" strings at messages[...][1] are no longer used)
 */
class answerChecker2 {

    private $user;
    private $messages = [
        'numbers' => ['Find the missing number. {QUESTION}', "Congratulations '{USER_ANSWER}' was correct for Find the missing number '{ANSWER}'", "Sorry but '{USER_ANSWER}' was incorrect it should have been '{ANSWER}' for 'Find the missing number in {QUESTION}'"],
        'addition' => ['Solve the following equation. {QUESTION}.', "Congratulations '{USER_ANSWER}' was correct for Solve the following equation. '{ANSWER}'", "Sorry but '{USER_ANSWER}' was incorrect it should have been '{ANSWER}' for 'Solve the following equation in {QUESTION}'"],
        'subtraction' => ['Solve the following equation. {QUESTION}.', "Congratulations '{USER_ANSWER}' was correct for Solve the following equation. '{ANSWER}'", "Sorry but '{USER_ANSWER}' was incorrect it should have been '{ANSWER}' for 'Solve the following equation in {QUESTION}'"],
        'multiplication' => ['Solve the following equation. {QUESTION}.', "Congratulations '{USER_ANSWER}' was correct for Solve the following equation. '{ANSWER}'", "Sorry but '{USER_ANSWER}' was incorrect it should have been '{ANSWER}' for 'Solve the following equation in {QUESTION}'"],
        'division' => ['Solve the following equation. {QUESTION}.', "Congratulations '{USER_ANSWER}' was correct for Solve the following equation. '{ANSWER}'", "Sorry but '{USER_ANSWER}' was incorrect it should have been '{ANSWER}' for 'Solve the following equation in {QUESTION}'"],
        'rounding' => ['Round to the nearest 5 cents. {QUESTION}', "Congratulations '{USER_ANSWER}' was correct for rounding to the nearest 5 cents '{ANSWER}'", "Sorry but '{USER_ANSWER}' was incorrect it should have been '{ANSWER}' for 'Round {QUESTION} to the nearest 5 cents'"],
        'fractions' => ['Fractions: {QUESTION}', "Congratulations '{USER_ANSWER}' was correct for '{QUESTION}'", "Sorry but '{USER_ANSWER}' was incorrect it should have been '{ANSWER}' for '{QUESTION}'"],
        'word_problems' => ['{QUESTION}', "Congratulations '{USER_ANSWER}' was correct for '{QUESTION}'", "Sorry but '{USER_ANSWER}' was incorrect it should have been '{ANSWER}' for '{QUESTION}'"],
        'anagrams' => ['Unjumble the letters to find the word. {QUESTION}.', "Congratulations '{USER_ANSWER}' was correct for Unjumble the letters '{ANSWER}'", "Sorry but '{USER_ANSWER}' was incorrect it should have been '{ANSWER}' for 'Unjumble the letters in {QUESTION}'"],
        'generalKnowledge' => [],
        'elements' => ['Fill in the missing element information. {QUESTION}', "Congratulations '{USER_ANSWER}' was correct for Fill in the missing element information '{ANSWER}'", "Sorry but '{USER_ANSWER}' was incorrect it should have been '{ANSWER}' for 'Fill in the missing element information in {QUESTION}'"],
        'continents' => [],
        'countries' => [],
        'flags' => [],
        'capitalCities' => [],
        'artists' => [],
        'malaySpelling' => [],
        'nameBodyParts' => [],
        'nameBodyOrgans' => [],
        'basicFirstAid' => []
    ];

    /**
     * Get the right answer checker for the subject
     */
    public function checkQuestionSubject($subject, $user) {
        $this->user = $user;
        switch ($subject) {
            case 'numbers':
            case 'addition':
            case 'subtraction':
            case 'multiplication':
            case 'division':
            case 'rounding':
            case 'word_problems':
                $this->checkGeneric($subject);
                break;
            case 'spelling':
                $this->checkSpelling(); //Custom checker
                break;
            case 'anagrams':
                $this->checkAnagrams();
                break;
            case 'fractions':
                $this->checkFractions();
                break;
            case 'generalKnowledge':
            case 'elements':
                $this->checkGeneric('elements');
                break;
            case 'continents':
            case 'countries':
            case 'flags':
            case 'capitalCities':
            case 'artists':
            case 'malaySpelling':
            case 'nameBodyParts':
            case 'nameBodyOrgans':
            case 'basicFirstAid':
            default:
                print_a('An error has been detected in the answer checker. Please report this and refresh the page.');
                break;
        }
    }

    /**
     * Check the answer for anything basic
     */
    private function checkGeneric($subject) {
        $usersAnswer = trim((string) filter_input(INPUT_POST, 'a1'));
        $answer = $this->loadPending();
        if ($answer === null) {
            return;
        }

        $correct = $this->isCorrect($answer['answer1'], $usersAnswer);

        $this->finishCheck($subject, $correct, $answer['answer1'], $usersAnswer, $this->questionText($answer, $subject));
    }

    /**
     * Check an anagram answer: the exact word, or any other real word made
     * from the same letters.
     */
    private function checkAnagrams() {
        $usersAnswer = trim((string) filter_input(INPUT_POST, 'a1'));
        $answer = $this->loadPending();
        if ($answer === null) {
            return;
        }

        $correct = $this->isCorrect($answer['answer1'], $usersAnswer)
                || $this->isValidAnagram($usersAnswer, $answer['answer1']);

        $this->finishCheck('anagrams', $correct, $answer['answer1'], $usersAnswer, $this->questionText($answer, 'anagrams'));
    }

    /**
     * Check a fractions answer. Any correct form is accepted (3/4, a mixed
     * number like 1 1/2, a whole number, an exact decimal like 0.75) but it has
     * to be in its simplest form, and a mixed number if one was asked for.
     */
    private function checkFractions() {
        $usersAnswer = trim((string) filter_input(INPUT_POST, 'a1'));
        $answer = $this->loadPending();
        if ($answer === null) {
            return;
        }

        $format = isset($answer['format']) ? $answer['format'] : 'simplest';
        $verdict = $this->fractionVerdict((string) $answer['answer1'], $format, $usersAnswer);

        $hint = '';
        if ($verdict === 'unsimplified') {
            $hint = "That's the right value, but it can be written more simply. ";
        } elseif ($verdict === 'wrongform') {
            $hint = "That's the right value, but write it as a mixed number, like 2 1/3. ";
        }

        $this->finishCheck('fractions', $verdict === 'correct', $answer['answer1'], $usersAnswer, $this->questionText($answer, 'fractions'), $hint);
    }

    /**
     * @param string $expectedText The right answer in its simplest form ("3/4", "1 1/2", "7").
     * @param string $format       'simplest', or 'mixed' when a mixed number was asked for.
     * @param string $given        What the student typed.
     * @return string 'correct', 'unsimplified', 'wrongform' or 'wrong'
     */
    private function fractionVerdict($expectedText, $format, $given) {
        require_once __DIR__ . '/fraction/src/Fraction.php';

        $typed = $this->parseFractionAnswer($given);
        if ($typed === null) {
            return 'wrong';
        }

        try {
            $expected = Fraction::fromString($expectedText);
        } catch (InvalidArgumentException $e) {
            return 'wrong';
        }

        if (!$typed['value']->isSameValueAs($expected)) {
            return 'wrong';
        }
        if ($format === 'mixed' && $typed['form'] !== 'mixed') {
            return 'wrongform';
        }
        if (!$typed['lowest']) {
            return 'unsimplified';
        }
        return 'correct';
    }

    /**
     * Read what the student typed as a fraction.
     *
     * @return array|null ['value' => Fraction, 'form' => whole|fraction|mixed|decimal,
     *                     'lowest' => bool (in simplest form)], or null if it isn't a number
     */
    private function parseFractionAnswer($text) {
        $text = trim(preg_replace('/\s+/', ' ', (string) $text));

        try {
            if (preg_match('#^(\d{1,9})$#', $text, $m)) {
                return ['value' => new Fraction((int) $m[1]), 'form' => 'whole', 'lowest' => true];
            }

            if (preg_match('#^(\d{1,9}) ?/ ?(\d{1,9})$#', $text, $m)) {
                $n = (int) $m[1];
                $d = (int) $m[2];
                if ($d < 1) {
                    return null;
                }
                return ['value' => new Fraction($n, $d), 'form' => 'fraction', 'lowest' => ($n > 0 && $this->gcdInt($n, $d) === 1)];
            }

            if (preg_match('#^(\d{1,9}) (\d{1,9}) ?/ ?(\d{1,9})$#', $text, $m)) {
                $w = (int) $m[1];
                $n = (int) $m[2];
                $d = (int) $m[3];
                if ($d < 1) {
                    return null;
                }
                $value = (new Fraction($w))->add(new Fraction($n, $d));
                return ['value' => $value, 'form' => 'mixed', 'lowest' => ($n > 0 && $n < $d && $this->gcdInt($n, $d) === 1)];
            }

            if (preg_match('#^(\d{0,9})\.(\d{1,8})$#', $text, $m)) {
                // Exact: 0.29 is 29/100. (Fraction::fromFloat() goes through floating point.)
                $digits = ($m[1] === '' ? '0' : $m[1]) . $m[2];
                return ['value' => new Fraction((int) $digits, (int) pow(10, strlen($m[2]))), 'form' => 'decimal', 'lowest' => true];
            }
        } catch (InvalidArgumentException $e) {
            return null;
        }

        return null;
    }

    private function gcdInt($a, $b) {
        $a = abs($a);
        $b = abs($b);
        while ($b > 0) {
            $t = $a % $b;
            $a = $b;
            $b = $t;
        }
        return $a;
    }

    /**
     * Check the answer for spelling
     */
    private function checkSpelling() {
        $usersAnswer = trim((string) filter_input(INPUT_POST, 'a1'));
        $answer = $this->loadPending();
        if ($answer === null) {
            return;
        }

        $word = (string) $answer['word'];
        $correct = $this->isCorrect($word, $usersAnswer);

        $minutes = $this->updateScore($correct);
        $this->addToReport($word, $usersAnswer, 'spelling', "Spell the word " . $word, $correct);

        if ($correct) {
            $text = $this->correctText('spelling', $word, $usersAnswer, $word, $minutes);
            $title = 'Correct!';
        } else {
            $safeAnswer = htmlspecialchars($usersAnswer);
            $safeWord = htmlspecialchars($word);
            $text = "Sorry but '" . $safeAnswer . "' was incorrect it should have been '" . $safeWord . "' for 'spell the word " . $safeWord . "'<br/>";
            $title = 'Spelling answer check';
        }

        e107::getRender()->tablerender($title, $text);
    }

    /**
     * Shared tail of the generic and anagram checks: build the message, update
     * the score, write the report row, render the result. $correct is the one
     * decision used for all three.
     */
    private function finishCheck($subject, $correct, $expected, $usersAnswer, $question, $hint = '') {
        $expected = (string) $expected;
        $messages = $this->messages[$subject];

        $minutes = $this->updateScore($correct);

        $questionString = strtr($messages[0], ['{ANSWER}' => $expected, '{QUESTION}' => $question]);
        $this->addToReport($expected, $usersAnswer, $subject, $questionString, $correct);

        if ($correct) {
            $text = $this->correctText($subject, $expected, $usersAnswer, $question, $minutes);
            $title = 'Correct!';
        } else {
            $safe = [
                '{ANSWER}'      => htmlspecialchars($expected),
                '{USER_ANSWER}' => htmlspecialchars($usersAnswer),
                '{QUESTION}'    => htmlspecialchars($question),
            ];
            $text = $hint . strtr($messages[2], $safe) . "<br/>";
            $title = ucfirst($subject) . ' answer check';
        }

        e107::getRender()->tablerender($title, $text);
    }

    private $cheers = [
        "🎉 Woohoo! You got it!",
        "⭐ Brilliant!",
        "🚀 Boom! Nailed it!",
        "💪 Spot on!",
        "🙌 High five! That's right!",
        "🧠 Big brain move!",
        "🌟 You're a star!",
        "😎 Too easy for you!",
        "🏆 Champion answer!",
        "✨ Yes! Exactly right!",
        "🎯 Bullseye!",
        "🦄 Magical! Correct!",
    ];

    /**
     * The message for a correct answer: a cheer, the answer, minutes earned,
     * and a streak when there is one. Everything typed by the student is escaped.
     */
    private function correctText($subject, $expected, $usersAnswer, $question, $minutes) {
        $text = '<div style="font-size:160%;font-weight:bold;">' . $this->cheers[array_rand($this->cheers)] . '</div>';
        $text .= '<p>' . $this->correctDetail($subject, $expected, $usersAnswer, $question) . '</p>';

        if ($minutes > 0) {
            $text .= '<p>🎮 <b>+' . (int) $minutes . ((int) $minutes === 1 ? ' minute' : ' minutes') . '</b> of play time earned!</p>';
        }

        $streak = $this->correctStreak();
        if ($streak >= 25) {
            $text .= '<p>🚀 25 or more correct in a row. Unstoppable!</p>';
        } elseif ($streak >= 10) {
            $text .= '<p>🚀 ' . $streak . ' correct in a row. Unstoppable!</p>';
        } elseif ($streak >= 5) {
            $text .= '<p>🔥 ' . $streak . ' correct in a row. You\'re on fire!</p>';
        } elseif ($streak >= 3) {
            $text .= '<p>🔥 ' . $streak . ' correct in a row!</p>';
        }

        return $text;
    }

    /**
     * The line that says what the right answer was, for this kind of question.
     */
    private function correctDetail($subject, $expected, $usersAnswer, $question) {
        $e = htmlspecialchars($expected);

        switch ($subject) {
            case 'numbers':
                return 'The missing number was <b>' . $e . '</b>.';
            case 'addition':
            case 'subtraction':
            case 'multiplication':
            case 'division':
                $sum = strtr($question, ['x' => ' × ', '/' => ' ÷ ', '+' => ' + ', '-' => ' − ']);
                return '<b>' . htmlspecialchars($sum) . ' = ' . $e . '</b>';
            case 'rounding':
                return '<b>' . htmlspecialchars($question) . '</b> rounds to <b>' . $e . '</b> (the nearest 5 cents).';
            case 'anagrams':
                if (mb_strtolower(trim($usersAnswer)) !== mb_strtolower($expected)) {
                    return 'You found <b>' . htmlspecialchars($usersAnswer) . '</b>. I was thinking of <b>' . $e . '</b>, but that is a real word too!';
                }
                return 'You unjumbled it: <b>' . $e . '</b>!';
            case 'fractions':
                return '<b>' . htmlspecialchars($question) . ' = ' . $e . '</b>';
            case 'word_problems':
                return 'The answer was <b>' . $e . '</b>.';
            case 'spelling':
                return 'You spelled <b>' . $e . '</b> perfectly!';
            default:
                return '<b>' . $e . '</b> was exactly right.';
        }
    }

    /**
     * How many of the student's latest answers in a row were correct (up to 25).
     * Called after the current answer has been written to the report.
     */
    private function correctStreak() {
        $db = e107::getDb();
        $db->gen("SELECT `correct` FROM `" . MPREFIX . "tkReport` WHERE `username` = '" . $db->escape($this->user) . "' ORDER BY `id` DESC LIMIT 25");

        $recent = [];
        while ($row = $db->fetch()) {
            $recent[] = (int) $row['correct'];
        }

        $streak = 0;
        foreach ($recent as $correct) {
            if ($correct !== 1) {
                break;
            }
            $streak++;
        }
        return $streak;
    }

    /**
     * Question text for messages. Array questions (equations, number
     * sequences, scrambled letters) are joined; a rounding question is just
     * the amount.
     */
    private function questionText($answer, $subject) {
        $question = isset($answer['question']) ? $answer['question'] : '';

        if (is_array($question)) {
            if ($subject === 'rounding') {
                $question = array_slice($question, 0, 1);
            }
            $question = implode('', $question);
        }

        return (string) $question;
    }

    /**
     * Numbers compare numerically ("1.1" == "1.10"), everything else
     * case-insensitively, after trimming.
     */
    private function isCorrect($expected, $given): bool {
        $expected = trim((string) $expected);
        $given = trim((string) $given);
        if (is_numeric($expected) && is_numeric($given)) {
            return abs((float) $expected - (float) $given) < 1e-9;
        }
        return mb_strtolower($expected) === mb_strtolower($given);
    }

    /**
     * An alternative anagram answer is valid when it uses exactly the same
     * letters as the original word and is itself in the word list.
     */
    private function isValidAnagram($given, $original) {
        $given = trim((string) $given);
        if ($given === '' || !$this->sameLetters($given, (string) $original)) {
            return false;
        }

        $db = e107::getDb();
        return $db->count('tk_wordList', '(*)', "word = '" . $db->escape($given) . "'") > 0;
    }

    private function sameLetters($a, $b) {
        $a = preg_split('//u', mb_strtolower($a), -1, PREG_SPLIT_NO_EMPTY);
        $b = preg_split('//u', mb_strtolower($b), -1, PREG_SPLIT_NO_EMPTY);
        sort($a);
        sort($b);
        return $a === $b;
    }

    /**
     * Add or minus the score.
     *
     * @return int The play minutes awarded for a correct answer (0 otherwise).
     */
    private function updateScore($scorePoint) {
        $db = e107::getDb();
        $user = $db->escape($this->user);

        $currentScore = $db->retrieve('timekeeperScore', 'timekeeper_lifetimecorrect, timekeeper_lifetimequestions, timekeeper_minutes', 'timekeeper_username="' . $user . '"');

        $isNew = !is_array($currentScore);
        if ($isNew) {
            $currentScore = ['timekeeper_lifetimecorrect' => 0, 'timekeeper_lifetimequestions' => 0, 'timekeeper_minutes' => 0];
        }

        $awarded = 0;
        if ($scorePoint) {
            $currentScore['timekeeper_lifetimecorrect']++;
            $awarded = (int) $this->scaleTimeAddition();
            $currentScore['timekeeper_minutes'] = $currentScore['timekeeper_minutes'] + $awarded;
        } else {
            // Never below zero: the column is signed now, and a negative balance would
            // otherwise have to be earned back before any play time counts.
            $currentScore['timekeeper_minutes'] = max(0, $currentScore['timekeeper_minutes'] - 1);
        }
        $currentScore['timekeeper_lifetimequestions']++;

        if ($isNew) {
            $currentScore['timekeeper_lastquestiondatestamp'] = time();
            $currentScore['timekeeper_yearlevel'] = 0;
            $currentScore['timekeeper_username'] = $this->user;
            $db->insert('timekeeperScore', $currentScore);
        } else {
            $currentScore['WHERE'] = 'timekeeper_username="' . $user . '"';
            $db->update('timekeeperScore', $currentScore);
        }

        return $awarded;
    }

    /**
     * Return how many minutes play time to award scaled by difficulty
     */
    private function scaleTimeAddition() {
//TODO look at this and fix it.
        $difficulty = $this->getDifficulty($this->user); //replace with db call

        $returnMinutes = (int) $difficulty / 10;

        $returnMinutes = round($returnMinutes);

        if ($returnMinutes <= 1) {
            $returnMinutes = 1;
        }
        return round($returnMinutes);
    }

    /**
     * Return users overall accuracy (percent) for the last month.
     */
    private function getDifficulty($user) {
        $db = e107::getDb();
        $db->gen("SELECT CAST((SUM(correct)/COUNT(id)*100) AS DECIMAL(5,2)) AS percent
            FROM `" . MPREFIX . "tkReport` WHERE username = '" . $db->escape($user) . "'
            AND answereddatestamp >= UNIX_TIMESTAMP(CURRENT_DATE() - INTERVAL 1 MONTH)
            AND answereddatestamp <= UNIX_TIMESTAMP(CURRENT_DATE() + INTERVAL 1 DAY)");

        $row = $db->fetch();
        return is_array($row) ? (float) $row['percent'] : 0;
    }

    /**
     * Add the last answered question to the report DB table.
     */
    private function addToReport($answer, $usersAnswer, $subject, $questionString, $isCorrect) {
        $insert = [
            'username' => $this->user,
            'question' => $questionString,
            'answereddatestamp' => time(),
            'userAnswer' => trim($usersAnswer),
            'answer' => trim($answer),
            'subject' => $subject,
            'correct' => $isCorrect ? 1 : 0
        ];

        e107::getDb()->insert('tkReport', $insert);
    }

    /**
     * Load the expected answer for this user's open question. Single use:
     * a stale tab, a tampered token or a double-submit gets the message below.
     */
    private function loadPending(): ?array {
        $token = filter_input(INPUT_POST, 'checkerData');
        $answer = TkAnswerStore::consume($this->user, is_string($token) ? $token : null);
        if ($answer === null) {
            e107::getRender()->tablerender('Answer check',
                'That question has expired or was already answered. Please answer the new question.');
        }
        return $answer;
    }
}