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<?php// This file is part of Moodle - http://moodle.org///// Moodle is free software: you can redistribute it and/or modify// it under the terms of the GNU General Public License as published by// the Free Software Foundation, either version 3 of the License, or// (at your option) any later version.//// Moodle is distributed in the hope that it will be useful,// but WITHOUT ANY WARRANTY; without even the implied warranty of// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the// GNU General Public License for more details.//// You should have received a copy of the GNU General Public License// along with Moodle. If not, see <http://www.gnu.org/licenses/>./*** Numerical question definition class.** @package qtype* @subpackage numerical* @copyright 2009 The Open University* @license http://www.gnu.org/copyleft/gpl.html GNU GPL v3 or later*/defined('MOODLE_INTERNAL') || die();require_once($CFG->dirroot . '/question/type/questionbase.php');/*** Represents a numerical question.** @copyright 2009 The Open University* @license http://www.gnu.org/copyleft/gpl.html GNU GPL v3 or later*/class qtype_numerical_question extends question_graded_automatically {/** @var array of question_answer. */public $answers = array();/** @var int one of the constants UNITNONE, UNITRADIO, UNITSELECT or UNITINPUT. */public $unitdisplay;/** @var int one of the constants UNITGRADEDOUTOFMARK or UNITGRADEDOUTOFMAX. */public $unitgradingtype;/** @var number the penalty for a missing or unrecognised unit. */public $unitpenalty;/** @var boolean whether the units come before or after the number */public $unitsleft;/** @var qtype_numerical_answer_processor */public $ap;public function get_expected_data() {$expected = array('answer' => PARAM_RAW_TRIMMED);if ($this->has_separate_unit_field()) {$expected['unit'] = PARAM_RAW_TRIMMED;}return $expected;}public function has_separate_unit_field() {return $this->unitdisplay == qtype_numerical::UNITRADIO ||$this->unitdisplay == qtype_numerical::UNITSELECT;}public function start_attempt(question_attempt_step $step, $variant) {$step->set_qt_var('_separators',$this->ap->get_point() . '$' . $this->ap->get_separator());}public function apply_attempt_state(question_attempt_step $step) {list($point, $separator) = explode('$', $step->get_qt_var('_separators'));$this->ap->set_characters($point, $separator);}public function summarise_response(array $response) {if (isset($response['answer'])) {$resp = $response['answer'];} else {$resp = null;}if ($this->has_separate_unit_field() && !empty($response['unit'])) {$resp = $this->ap->add_unit($resp, $response['unit']);}return $resp;}public function un_summarise_response(string $summary) {if ($this->has_separate_unit_field()) {throw new coding_exception('Sorry, but at the moment un_summarise_response cannot handle thehas_separate_unit_field case for numerical questions.If you need this, you will have to implement it yourself.');}if (!empty($summary)) {return ['answer' => $summary];} else {return [];}}public function is_gradable_response(array $response) {return array_key_exists('answer', $response) &&($response['answer'] || $response['answer'] === '0' || $response['answer'] === 0);}public function is_complete_response(array $response) {if (!$this->is_gradable_response($response)) {return false;}list($value, $unit) = $this->ap->apply_units($response['answer']);if (is_null($value)) {return false;}if ($this->unitdisplay != qtype_numerical::UNITINPUT && $unit) {return false;}if ($this->has_separate_unit_field() && empty($response['unit'])) {return false;}if ($this->ap->contains_thousands_seaparator($response['answer'])) {return false;}return true;}public function get_validation_error(array $response) {if (!$this->is_gradable_response($response)) {return get_string('pleaseenterananswer', 'qtype_numerical');}list($value, $unit) = $this->ap->apply_units($response['answer']);if (is_null($value)) {return get_string('invalidnumber', 'qtype_numerical');}if ($this->unitdisplay != qtype_numerical::UNITINPUT && $unit) {return get_string('invalidnumbernounit', 'qtype_numerical');}if ($this->has_separate_unit_field() && empty($response['unit'])) {return get_string('unitnotselected', 'qtype_numerical');}if ($this->ap->contains_thousands_seaparator($response['answer'])) {return get_string('pleaseenteranswerwithoutthousandssep', 'qtype_numerical',$this->ap->get_separator());}return '';}public function is_same_response(array $prevresponse, array $newresponse) {if (!question_utils::arrays_same_at_key_missing_is_blank($prevresponse, $newresponse, 'answer')) {return false;}if ($this->has_separate_unit_field()) {return question_utils::arrays_same_at_key_missing_is_blank($prevresponse, $newresponse, 'unit');}return true;}public function get_correct_response() {$answer = $this->get_correct_answer();if (!$answer) {return array();}$response = array('answer' => str_replace('.', $this->ap->get_point(), $answer->answer));if ($this->has_separate_unit_field()) {$response['unit'] = $this->ap->get_default_unit();} else if ($this->unitdisplay == qtype_numerical::UNITINPUT) {$response['answer'] = $this->ap->add_unit($answer->answer);}return $response;}/*** Get an answer that contains the feedback and fraction that should be* awarded for this response.* @param number $value the numerical value of a response.* @param number $multiplier for the unit the student gave, if any. When no* unit was given, or an unrecognised unit was given, $multiplier will be null.* @return question_answer the matching answer.*/public function get_matching_answer($value, $multiplier) {if (is_null($value) || $value === '') {return null;}if (!is_null($multiplier)) {$scaledvalue = $value * $multiplier;} else {$scaledvalue = $value;}foreach ($this->answers as $answer) {if ($answer->within_tolerance($scaledvalue)) {return $answer;} else if ($answer->within_tolerance($value)) {return $answer;}}return null;}/*** Checks if the provided $multiplier is appropriate for the unit of the given $value,* ensuring that multiplying $value by the $multiplier yields the expected $answer.** @param qtype_numerical_answer $answer The expected result when multiplying $value by the appropriate $multiplier.* @param float $value The provided value* @param float|null $multiplier The multiplier value for the unit of $value.* @return bool Returns true if the $multiplier is correct for the unit of $value, false otherwise.*/public function is_unit_right(qtype_numerical_answer $answer, float $value, ?float $multiplier): bool {if (is_null($multiplier)) {return false;}return $answer->within_tolerance($multiplier * $value);}public function get_correct_answer() {foreach ($this->answers as $answer) {$state = question_state::graded_state_for_fraction($answer->fraction);if ($state == question_state::$gradedright) {return $answer;}}return null;}/*** Adjust the fraction based on whether the unit was correct.* @param number $fraction* @param bool $unitisright* @return number*/public function apply_unit_penalty($fraction, $unitisright) {if ($unitisright) {return $fraction;}if ($this->unitgradingtype == qtype_numerical::UNITGRADEDOUTOFMARK) {$fraction -= $this->unitpenalty * $fraction;} else if ($this->unitgradingtype == qtype_numerical::UNITGRADEDOUTOFMAX) {$fraction -= $this->unitpenalty;}return max($fraction, 0);}public function grade_response(array $response) {if ($this->has_separate_unit_field()) {$selectedunit = $response['unit'];} else {$selectedunit = null;}list($value, $unit, $multiplier) = $this->ap->apply_units($response['answer'], $selectedunit);/** @var qtype_numerical_answer $answer */$answer = $this->get_matching_answer($value, $multiplier);if (!$answer) {return array(0, question_state::$gradedwrong);}$unitisright = $this->is_unit_right($answer, $value, $multiplier);$fraction = $this->apply_unit_penalty($answer->fraction, $unitisright);return array($fraction, question_state::graded_state_for_fraction($fraction));}public function classify_response(array $response) {if (!$this->is_gradable_response($response)) {return array($this->id => question_classified_response::no_response());}if ($this->has_separate_unit_field()) {$selectedunit = $response['unit'];} else {$selectedunit = null;}list($value, $unit, $multiplier) = $this->ap->apply_units($response['answer'], $selectedunit);/** @var qtype_numerical_answer $ans */$ans = $this->get_matching_answer($value, $multiplier);$resp = $response['answer'];if ($this->has_separate_unit_field()) {$resp = $this->ap->add_unit($resp, $unit);}if ($value === null) {// Invalid response shown as no response (but show actual response).return array($this->id => new question_classified_response(null, $resp, 0));} else if (!$ans) {// Does not match any answer.return array($this->id => new question_classified_response(0, $resp, 0));}$unitisright = $this->is_unit_right($ans, $value, $multiplier);return [$this->id => new question_classified_response($ans->id, $resp, $this->apply_unit_penalty($ans->fraction, $unitisright))];}public function check_file_access($qa, $options, $component, $filearea, $args,$forcedownload) {if ($component == 'question' && $filearea == 'answerfeedback') {$currentanswer = $qa->get_last_qt_var('answer');if ($this->has_separate_unit_field()) {$selectedunit = $qa->get_last_qt_var('unit');} else {$selectedunit = null;}list($value, $unit, $multiplier) = $this->ap->apply_units($currentanswer, $selectedunit);$answer = $this->get_matching_answer($value, $multiplier);$answerid = reset($args); // Itemid is answer id.return $options->feedback && $answer && $answerid == $answer->id;} else if ($component == 'question' && $filearea == 'hint') {return $this->check_hint_file_access($qa, $options, $args);} else {return parent::check_file_access($qa, $options, $component, $filearea,$args, $forcedownload);}}/*** Return the question settings that define this question as structured data.** @param question_attempt $qa the current attempt for which we are exporting the settings.* @param question_display_options $options the question display options which say which aspects of the question* should be visible.* @return mixed structure representing the question settings. In web services, this will be JSON-encoded.*/public function get_question_definition_for_external_rendering(question_attempt $qa, question_display_options $options) {// This is a partial implementation, returning only the most relevant question settings for now,// ideally, we should return as much as settings as possible (depending on the state and display options).return ['unitgradingtype' => $this->unitgradingtype,'unitpenalty' => $this->unitpenalty,'unitdisplay' => $this->unitdisplay,'unitsleft' => $this->unitsleft,];}}/*** Subclass of {@link question_answer} with the extra information required by* the numerical question type.** @copyright 2009 The Open University* @license http://www.gnu.org/copyleft/gpl.html GNU GPL v3 or later*/class qtype_numerical_answer extends question_answer {/** @var float allowable margin of error. */public $tolerance;/** @var integer|string see {@link get_tolerance_interval()} for the meaning of this value. */public $tolerancetype = 2;public function __construct($id, $answer, $fraction, $feedback, $feedbackformat, $tolerance) {parent::__construct($id, $answer, $fraction, $feedback, $feedbackformat);$this->tolerance = abs((float)$tolerance);}public function get_tolerance_interval() {if ($this->answer === '*') {throw new coding_exception('Cannot work out tolerance interval for answer *.');}// Smallest number that, when added to 1, is different from 1.$epsilon = pow(10, -1 * ini_get('precision'));// We need to add a tiny fraction depending on the set precision to make// the comparison work correctly, otherwise seemingly equal values can// yield false. See MDL-3225.$tolerance = abs($this->tolerance) + $epsilon;switch ($this->tolerancetype) {case 1: case 'relative':$range = abs($this->answer) * $tolerance;return array($this->answer - $range, $this->answer + $range);case 2: case 'nominal':$tolerance = $this->tolerance + $epsilon * max(abs($this->tolerance), abs($this->answer), $epsilon);return array($this->answer - $tolerance, $this->answer + $tolerance);case 3: case 'geometric':$quotient = 1 + abs($tolerance);if ($this->answer < 0) {return array($this->answer * $quotient, $this->answer / $quotient);}return array($this->answer / $quotient, $this->answer * $quotient);default:throw new coding_exception('Unknown tolerance type ' . $this->tolerancetype);}}public function within_tolerance($value) {if ($this->answer === '*') {return true;}list($min, $max) = $this->get_tolerance_interval();return $min <= $value && $value <= $max;}}