Formula Question Result. More...

Collaboration diagram for assFormulaQuestionResult:

Public Member Functions
	__construct ($result, $range_min, $range_max, $tolerance, $unit, $formula, $points, $precision, $rating_simple=true, $rating_sign=33, $rating_value=34, $rating_unit=33, $result_type=0)
	assFormulaQuestionResult constructor More...

	substituteFormula ($variables, $results)

	calculateFormula ($variables, $results, $question_id=0, $use_precision=true)

	findValidRandomVariables ($variables, $results)

	suggestRange ($variables, $results)

	isCorrect ($variables, $results, $value, $unit=null)

	getReachedPoints ($variables, $results, $value, $unit, $units)

	getResultInfo ($variables, $results, $value, $unit, $units)

	setResult ($result)

	getResult ()

	setRangeMin ($range_min)

	getRangeMin ()

	getRangeMinBase ()

	setRangeMax ($range_max)

	getRangeMax ()

	getRangeMaxBase ()

	setTolerance ($tolerance)

	getTolerance ()

	setUnit ($unit)

	getUnit ()

	setFormula ($formula)

	getFormula ()

	setPoints ($points)

	getPoints ()

	setRatingSimple ($rating_simple)

	getRatingSimple ()

	setRatingSign ($rating_sign)

	getRatingSign ()

	setRatingValue ($rating_value)

	getRatingValue ()

	setRatingUnit ($rating_unit)

	getRatingUnit ()

	setPrecision ($precision)

	getPrecision ()

	setResultType ($a_result_type)

	getResultType ()

	setRangeMaxTxt ($range_max_txt)

	getRangeMaxTxt ()

	setRangeMinTxt ($range_min_txt)

	getRangeMinTxt ()

	getAvailableResultUnits ($question_id)

Static Public Member Functions
static	getResultTypeByQstId ($a_qst_id, $a_result)

static	isCoprimeFraction ($numerator, $denominator)

static	convertDecimalToCoprimeFraction ($decimal_value, $tolerance=1.e-9)

static	getGreatestCommonDivisor ($a, $b)

Data Fields
const	RESULT_NO_SELECTION = 0

const	RESULT_DEC = 1

const	RESULT_FRAC = 2

const	RESULT_CO_FRAC = 3

Protected Member Functions
	isInTolerance ($user_answer, $expected, $tolerated_percentage)

	checkSign ($v1, $v2)

Private Attributes
	$result

	$range_min

	$range_max

	$tolerance

	$unit

	$formula

	$rating_simple

	$rating_sign

	$rating_value

	$rating_unit

	$points

	$precision

	$result_type

	$range_min_txt

	$range_max_txt

	$available_units = array()

Detailed Description

Formula Question Result.

Author: Helmut Schottmüller helmu.nosp@m.t.sc.nosp@m.hottm.nosp@m.uell.nosp@m.er@ma.nosp@m.c.co.nosp@m.m

Version

Id: class.assFormulaQuestionResult.php 944 2009-11-09 16:11:30Z hschottm

Definition at line 10 of file class.assFormulaQuestionResult.php.

Constructor & Destructor Documentation

◆ __construct()

assFormulaQuestionResult::__construct	(	$result,
		$range_min,
		$range_max,
		$tolerance,
		$unit,
		$formula,
		$points,
		$precision,
		$rating_simple = `true`,
		$rating_sign = `33`,
		$rating_value = `34`,
		$rating_unit = `33`,
		$result_type = `0`
	)

assFormulaQuestionResult constructor

Parameters

string	$result	Result name
double	$range_min	Range minimum
double	$range_max	Range maximum
double	$tolerance	Tolerance of the result in percent
object	$unit	Unit
string	$formula	The formula to calculate the result
double	$points	The maximum available points for the result
integer	$precision	Number of decimal places of the value
boolean	$rating_simple	Use simple rating (100% if right, 0 % if wrong)
double	$rating_sign	Percentage of rating for the correct sign
double	$rating_value	Percentage of rating for the correct value
double	$rating_unit	Percentage of rating for the correct unit public

Definition at line 51 of file class.assFormulaQuestionResult.php.

References $formula, $points, $precision, $range_max, $range_min, $rating_sign, $rating_simple, $rating_unit, $rating_value, $result, $result_type, $tolerance, $unit, setRangeMax(), setRangeMaxTxt(), setRangeMin(), and setRangeMinTxt().

     {
         $this->result = $result;
         #       $this->setRangeMin((is_numeric($range_min)) ? $range_min : NULL);
         #       $this->setRangeMax((is_numeric($range_max)) ? $range_max : NULL);
         $this->setRangeMin($range_min);
         $this->setRangeMax($range_max);
 
 
         $this->tolerance = $tolerance;
         $this->unit = $unit;
         $this->formula = $formula;
         $this->points = $points;
         $this->precision = $precision;
         $this->rating_simple = $rating_simple;
         $this->rating_sign = $rating_sign;
         $this->rating_value = $rating_value;
         $this->rating_unit = $rating_unit;
         $this->result_type = $result_type;
         $this->setRangeMinTxt($range_min);
         $this->setRangeMaxTxt($range_max);
     }

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Member Function Documentation

◆ calculateFormula()

assFormulaQuestionResult::calculateFormula	(	$variables,
		$results,
		$question_id = `0`,
		$use_precision = `true`
	)

Definition at line 100 of file class.assFormulaQuestionResult.php.

References $formula, $res, $result, $results, ilMath\_div(), getAvailableResultUnits(), getPrecision(), getResultType(), getUnit(), and substituteFormula().

     {
         $resultunits = array();
         if ($question_id > 0) {
             $resultunits = $this->getAvailableResultUnits($question_id);
         }
     
         include_once "./Services/Math/classes/class.ilMath.php";
         include_once "./Services/Math/classes/class.EvalMath.php";
         $formula = $this->substituteFormula($variables, $results);
         if (preg_match_all("/(\\\$v\\d+)/ims", $formula, $matches)) {
             foreach ($matches[1] as $variable) {
                 $varObj = $variables[$variable];
                 if (!is_object($varObj)) {
                     continue;
                 }
                 $value = $varObj->getBaseValue();
                 $formula = preg_replace("/\\\$" . substr($variable, 1) . "(?![0-9]+)/", "(" . $value . ")" . "\\1", $formula);
             }
         }
         $math = new EvalMath();
         $math->suppress_errors = true;
 
         $formula = str_replace(",", ".", $formula);
         $result = $math->evaluate($formula);
         if (is_object($this->getUnit())) {
             $result = ilMath::_div($result, $this->getUnit()->getFactor(), 100);
         }
 
         // @todo DON'T USE ilMath::_mul() ... bcmul() returns wrong result !!!!
     
         if ($use_precision == true) {
             $res = $result * 1;
             if (is_numeric($this->getPrecision())) {
                 if ($this->getResultType() == self::RESULT_DEC || $this->getResultType() == self::RESULT_NO_SELECTION) {
                     $result = ilMath::_round($res, $this->getPrecision());
                 }
             }
         }
         return $result;
     }

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◆ checkSign()

assFormulaQuestionResult::checkSign	(	$v1,
		$v2
	)

protected

Definition at line 414 of file class.assFormulaQuestionResult.php.

Referenced by getReachedPoints(), and getResultInfo().

     {
         if ((($v1 >= 0) && ($v2 >= 0)) || (($v1 <= 0) && ($v2 <= 0))) {
             return true;
         } else {
             return false;
         }
     }

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◆ convertDecimalToCoprimeFraction()

static assFormulaQuestionResult::convertDecimalToCoprimeFraction	(	$decimal_value,
		$tolerance = `1.e-9`
	)

static

Definition at line 827 of file class.assFormulaQuestionResult.php.

References Vendor\Package\$a, Vendor\Package\$b, $result, and $tolerance.

Referenced by assFormulaQuestion\getBestSolution(), and assFormulaQuestion\substituteVariables().

     {
         if (empty($decimal_value)) {
             return '';
         }
 
         $to_string = (string) $decimal_value;
         $is_negative = strpos($to_string, '-') === 0;
         if ($is_negative) {
             $decimal_value = substr($decimal_value, 1);
         }
         $h1 = 1;
         $h2 = 0;
         $k1 = 0;
         $k2 = 1;
         $b = 1 / $decimal_value;
         do {
             $b = 1 / $b;
             $a = floor($b);
             $aux = $h1;
             $h1 = $a * $h1 + $h2;
             $h2 = $aux;
             $aux = $k1;
             $k1 = $a * $k1 + $k2;
             $k2 = $aux;
             $b = $b - $a;
         } while ((abs($decimal_value - $h1 / $k1) > $decimal_value * $tolerance) || ($k1 < 0 || $b < 0));
         if ($k1 == 1) {
             $result = $h1;
             $checkResult = $h1;
         } else {
             $result = "$h1/$k1";
             $checkResult = ($h1 / $k1);
         }
         if ($is_negative) {
             $result = '-' . $result;
             $checkResult = ($h1 / $k1) * -1;
         }
         if ($to_string == $checkResult . '' || $checkResult . '' == $result) {
             return $result;
         } else {
             return array($to_string,$result);
         }
     }

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◆ findValidRandomVariables()

assFormulaQuestionResult::findValidRandomVariables	(	$variables,
		$results
	)

Definition at line 142 of file class.assFormulaQuestionResult.php.

References $formula, $i, $result, $results, getRangeMax(), getRangeMaxBase(), getRangeMin(), getRangeMinBase(), and substituteFormula().

     {
         include_once "./Services/Math/classes/class.EvalMath.php";
         $i = 0;
         $inRange = false;
         while ($i < 1000 && !$inRange) {
             $formula = $this->substituteFormula($variables, $results);
             if (preg_match_all("/(\\\$v\\d+)/ims", $formula, $matches)) {
                 foreach ($matches[1] as $variable) {
                     $varObj = $variables[$variable];
                     if (!is_object($varObj)) {
                         continue;
                     }
                     $varObj->setRandomValue();
                     $formula = preg_replace("/\\\$" . substr($variable, 1) . "(?![0-9]+)/", "(" . $varObj->getBaseValue() . ")" . "\\1", $formula);
                 }
             }
             $math = new EvalMath();
             $math->suppress_errors = true;
             $result = $math->evaluate($formula);
             $inRange = (is_numeric($result)) ? true : false;
             if ($inRange) {
                 if (is_numeric($this->getRangeMin())) {
                     if ($result < $this->getRangeMinBase()) {
                         $inRange = false;
                     }
                 }
                 if (is_numeric($this->getRangeMax())) {
                     if ($result > $this->getRangeMaxBase()) {
                         $inRange = false;
                     }
                 }
             }
             $i++;
         }
     }

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◆ getAvailableResultUnits()

assFormulaQuestionResult::getAvailableResultUnits ( $question_id )

Definition at line 882 of file class.assFormulaQuestionResult.php.

References $available_units, $DIC, $ilDB, and $res.

Referenced by calculateFormula().

     {
         global $DIC;
         $ilDB = $DIC['ilDB'];
         
         $res = $ilDB->queryF(
             '
                         SELECT * FROM il_qpl_qst_fq_res_unit 
                         WHERE question_fi = %s
                         ORDER BY result',
             array('integer'),
             array($question_id)
         );
         
     
         while ($row = $ilDB->fetchAssoc($res)) {
             $this->available_units[$row['result']][] = $row['unit_fi'] ;
         }
         
         return $this->available_units;
     }

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◆ getFormula()

assFormulaQuestionResult::getFormula ( )

Definition at line 705 of file class.assFormulaQuestionResult.php.

References $formula.

Referenced by substituteFormula().

     {
         return $this->formula;
     }

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◆ getGreatestCommonDivisor()

static assFormulaQuestionResult::getGreatestCommonDivisor	(	$a,
		$b
	)

static

Definition at line 872 of file class.assFormulaQuestionResult.php.

References Vendor\Package\$a, and Vendor\Package\$b.

     {
         if ($b > 0) {
             return self::getGreatestCommonDivisor($b, $a % $b);
         } else {
             return $a;
         }
     }

◆ getPoints()

assFormulaQuestionResult::getPoints ( )

Definition at line 715 of file class.assFormulaQuestionResult.php.

References $points.

Referenced by getReachedPoints(), and getResultInfo().

     {
         return $this->points;
     }

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◆ getPrecision()

assFormulaQuestionResult::getPrecision ( )

Definition at line 765 of file class.assFormulaQuestionResult.php.

References $precision.

Referenced by calculateFormula(), getReachedPoints(), isCorrect(), isInTolerance(), and suggestRange().

     {
         return (int) $this->precision;
     }

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◆ getRangeMax()

assFormulaQuestionResult::getRangeMax ( )

Definition at line 664 of file class.assFormulaQuestionResult.php.

References $range_max.

Referenced by findValidRandomVariables(), and getRangeMaxBase().

     {
         return $this->range_max;
     }

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◆ getRangeMaxBase()

assFormulaQuestionResult::getRangeMaxBase ( )

Definition at line 669 of file class.assFormulaQuestionResult.php.

References ilMath\_mul(), getRangeMax(), and getUnit().

Referenced by findValidRandomVariables().

     {
         if (is_numeric($this->getRangeMax())) {
             if (is_object($this->getUnit())) {
                 include_once "./Services/Math/classes/class.ilMath.php";
                 return ilMath::_mul($this->getRangeMax(), $this->getUnit()->getFactor(), 100);
             }
         }
         return $this->getRangeMax();
     }

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◆ getRangeMaxTxt()

assFormulaQuestionResult::getRangeMaxTxt ( )

Definition at line 785 of file class.assFormulaQuestionResult.php.

References $range_max_txt.

     {
         return $this->range_max_txt;
     }

◆ getRangeMin()

assFormulaQuestionResult::getRangeMin ( )

Definition at line 632 of file class.assFormulaQuestionResult.php.

References $range_min.

Referenced by findValidRandomVariables(), and getRangeMinBase().

     {
         return $this->range_min;
     }

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◆ getRangeMinBase()

assFormulaQuestionResult::getRangeMinBase ( )

Definition at line 637 of file class.assFormulaQuestionResult.php.

References ilMath\_mul(), getRangeMin(), and getUnit().

Referenced by findValidRandomVariables().

     {
         if (is_numeric($this->getRangeMin())) {
             if (is_object($this->getUnit())) {
                 include_once "./Services/Math/classes/class.ilMath.php";
                 return ilMath::_mul($this->getRangeMin(), $this->getUnit()->getFactor(), 100);
             }
         }
         return $this->getRangeMin();
     }

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◆ getRangeMinTxt()

assFormulaQuestionResult::getRangeMinTxt ( )

Definition at line 795 of file class.assFormulaQuestionResult.php.

References $range_min_txt.

     {
         return $this->range_min_txt;
     }

◆ getRatingSign()

assFormulaQuestionResult::getRatingSign ( )

Definition at line 735 of file class.assFormulaQuestionResult.php.

References $rating_sign.

Referenced by getReachedPoints(), and getResultInfo().

     {
         return $this->rating_sign;
     }

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◆ getRatingSimple()

assFormulaQuestionResult::getRatingSimple ( )

Definition at line 725 of file class.assFormulaQuestionResult.php.

References $rating_simple.

Referenced by getReachedPoints(), and getResultInfo().

     {
         return $this->rating_simple;
     }

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◆ getRatingUnit()

assFormulaQuestionResult::getRatingUnit ( )

Definition at line 755 of file class.assFormulaQuestionResult.php.

References $rating_unit.

Referenced by getReachedPoints(), and getResultInfo().

     {
         return $this->rating_unit;
     }

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◆ getRatingValue()

assFormulaQuestionResult::getRatingValue ( )

Definition at line 745 of file class.assFormulaQuestionResult.php.

References $rating_value.

Referenced by getReachedPoints(), and getResultInfo().

     {
         return $this->rating_value;
     }

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◆ getReachedPoints()

assFormulaQuestionResult::getReachedPoints	(	$variables,
		$results,
		$value,
		$unit,
		$units
	)

Definition at line 423 of file class.assFormulaQuestionResult.php.

References $DIC, $formula, $points, $result, $results, $unit, ilMath\_div(), ilMath\_mul(), checkSign(), getPoints(), getPrecision(), getRatingSign(), getRatingSimple(), getRatingUnit(), getRatingValue(), getResultType(), getTolerance(), getUnit(), isCorrect(), isInTolerance(), RESULT_CO_FRAC, RESULT_DEC, RESULT_FRAC, RESULT_NO_SELECTION, and substituteFormula().

     {
         global $DIC;
         $ilLog = $DIC['ilLog'];
         if ($this->getRatingSimple()) {
             if ($this->isCorrect($variables, $results, $value, $units[$unit])) {
                 return $this->getPoints();
             } else {
                 return 0;
             }
         } else {
             $points = 0;
             include_once "./Services/Math/classes/class.EvalMath.php";
             include_once "./Services/Math/classes/class.ilMath.php";
             $formula = $this->substituteFormula($variables, $results);
 
             if (preg_match_all("/(\\\$v\\d+)/ims", $formula, $matches)) {
                 foreach ($matches[1] as $variable) {
                     $varObj = $variables[$variable];
                     if (!is_object($varObj)) {
                         continue;
                     }
                     if ($varObj->getUnit() != null) {
                         //convert unit and value to baseunit
                         if ($varObj->getUnit()->getBaseUnit() != -1) {
                             $tmp_value = $varObj->getValue() * $varObj->getUnit()->getFactor();
                         } else {
                             $tmp_value = $varObj->getValue();
                         }
                     } else {
                         $tmp_value = $varObj->getValue();
                     }
                     $formula = preg_replace("/\\\$" . substr($variable, 1) . "(?![0-9]+)/", "(" . $tmp_value . ")" . "\\1", $formula);
                 }
             }
 
             $math = new EvalMath();
             $math->suppress_errors = true;
             $result = $math->evaluate($formula);
 
             // result_type extension
             switch ($this->getResultType()) {
                 case assFormulaQuestionResult::RESULT_DEC:
                     if ((substr_count($value, '.') == 1) || (substr_count($value, ',') == 1)) {
                         $exp_val = $value;
                         $frac_value = str_replace(',', '.', $exp_val);
                     } else {
                         $frac_value = $value;
                     }
                     $check_fraction = true;
                     break;
                 case assFormulaQuestionResult::RESULT_FRAC:
                     $exp_val = explode('/', $value);
                     if (count($exp_val) == 1) {
                         $frac_value = ilMath::_div($exp_val[0], 1, $this->getPrecision());
                         if (ilMath::_equals(abs($frac_value), abs($result), $this->getPrecision())) {
                             $check_fraction = true;
                         } else {
                             $check_fraction = false;
                         }
                     } else {
                         $frac_value = ilMath::_div($exp_val[0], $exp_val[1], $this->getPrecision());
                         if (ilMath::_equals(abs($frac_value), abs($result), $this->getPrecision())) {
                             $check_fraction = true;
                         }
                     }
                     break;
                 case assFormulaQuestionResult::RESULT_CO_FRAC:
                     $exp_val = explode('/', $value);
                     if (count($exp_val) == 1) {
                         $check_fraction = false;
                     } else {
                         $frac_value = ilMath::_div($exp_val[0], $exp_val[1], $this->getPrecision());
                         if (self::isCoprimeFraction($exp_val[0], $exp_val[1])) {
                             $check_fraction = true;
                         }
                     }
                     break;
                 case assFormulaQuestionResult::RESULT_NO_SELECTION:
                 default:
                     $check_fraction = true;
                     break;
             }
 
             // result unit!!
             if (is_object($this->getUnit())) {
                 // if expected resultunit != baseunit convert to resultunit
                 if ($this->getUnit()->getBaseUnit() != -1) {
                     $result = ilMath::_div($result, $this->getUnit()->getFactor(), $this->getPrecision());
                 } else {
                     //if resultunit == baseunit calculate to get correct precision
                     $result = ilMath::_mul($result, $this->getUnit()->getFactor(), $this->getPrecision());
                 }
             }
 
             if (is_object($unit)) {
                 if (isset($frac_value)) {
                     $value = ilMath::_mul($frac_value, $unit->getFactor(), 100);
                 }
             }
 
             if ($this->checkSign($result, $value)) {
                 $points += ilMath::_mul($this->getPoints(), ilMath::_div($this->getRatingSign(), 100));
             }
 
             if ($this->isInTolerance(abs($value), abs($result), $this->getTolerance())) {
                 $points += ilMath::_mul($this->getPoints(), ilMath::_div($this->getRatingValue(), 100));
             }
             if (is_object($this->getUnit())) {
                 $base1 = $units[$unit];
                 if (is_object($base1)) {
                     $base1 = $units[$base1->getBaseUnit()];
                 }
                 $base2 = $units[$this->getUnit()->getBaseUnit()];
                 if (is_object($base1) && is_object($base2) && $base1->getId() == $base2->getId()) {
                     $points += ilMath::_mul($this->getPoints(), ilMath::_div($this->getRatingUnit(), 100));
                 }
             }
             return $points;
         }
     }

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◆ getResult()

assFormulaQuestionResult::getResult ( )

Definition at line 611 of file class.assFormulaQuestionResult.php.

References $result.

Referenced by assFormulaQuestionGUI\isSaveCommand(), and substituteFormula().

     {
         return $this->result;
     }

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◆ getResultInfo()

assFormulaQuestionResult::getResultInfo	(	$variables,
		$results,
		$value,
		$unit,
		$units
	)

Definition at line 545 of file class.assFormulaQuestionResult.php.

References $formula, $points, $result, $results, $unit, ilMath\_mul(), checkSign(), getPoints(), getRatingSign(), getRatingSimple(), getRatingUnit(), getRatingValue(), getTolerance(), getUnit(), isCorrect(), isInTolerance(), and substituteFormula().

     {
         if ($this->getRatingSimple()) {
             if ($this->isCorrect($variables, $results, $value, $units[$unit])) {
                 return array("points" => $this->getPoints());
             } else {
                 return array("points" => 0);
             }
         } else {
             include_once "./Services/Math/classes/class.EvalMath.php";
             include_once "./Services/Math/classes/class.ilMath.php";
             $totalpoints = 0;
             $formula = $this->substituteFormula($variables, $results);
             if (preg_match_all("/(\\\$v\\d+)/ims", $formula, $matches)) {
                 foreach ($matches[1] as $variable) {
                     $varObj = $variables[$variable];
                     $formula = preg_replace("/\\\$" . substr($variable, 1) . "(?![0-9]+)/", "(" . $varObj->getBaseValue() . ")" . "\\1", $formula);
                 }
             }
             $math = new EvalMath();
             $math->suppress_errors = true;
             $result = $math->evaluate($formula);
             if (is_object($this->getUnit())) {
                 $result = ilMath::_mul($result, $this->getUnit()->getFactor(), 100);
             }
             if (is_object($unit)) {
                 $value = ilMath::_mul($value, $unit->getFactor(), 100);
             } else {
             }
             $details = array();
             if ($this->checkSign($result, $value)) {
                 $points = ilMath::_mul($this->getPoints(), $this->getRatingSign() / 100);
                 $totalpoints += $points;
                 $details['sign'] = $points;
             }
             if ($this->isInTolerance(abs($value), abs($result), $this->getTolerance())) {
                 $points = ilMath::_mul($this->getPoints(), $this->getRatingValue() / 100);
                 $totalpoints += $points;
                 $details['value'] = $points;
             }
             if (is_object($this->getUnit())) {
                 $base1 = $units[$unit];
                 if (is_object($base1)) {
                     $base1 = $units[$base1->getBaseUnit()];
                 }
                 $base2 = $units[$this->getUnit()->getBaseUnit()];
                 if (is_object($base1) && is_object($base2) && $base1->getId() == $base2->getId()) {
                     $points = ilMath::_mul($this->getPoints(), $this->getRatingUnit() / 100);
                     $totalpoints += $points;
                     $details['unit'] = $points;
                 }
             }
             $details['points'] = $totalpoints;
             return $details;
         }
     }

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◆ getResultType()

assFormulaQuestionResult::getResultType ( )

Definition at line 775 of file class.assFormulaQuestionResult.php.

References $result_type.

Referenced by calculateFormula(), getReachedPoints(), and isCorrect().

     {
         return (int) $this->result_type;
     }

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◆ getResultTypeByQstId()

static assFormulaQuestionResult::getResultTypeByQstId	(	$a_qst_id,
		$a_result
	)

static

Definition at line 800 of file class.assFormulaQuestionResult.php.

References $DIC, $ilDB, and $res.

Referenced by assFormulaQuestionGUI\getPreview(), and assFormulaQuestionGUI\getTestOutput().

     {
         global $DIC;
         $ilDB = $DIC['ilDB'];
 
         $res = $ilDB->queryF(
             '
                         SELECT result_type
                         FROM il_qpl_qst_fq_res
                         WHERE question_fi = %s
                         AND result = %s',
             array('integer', 'text'),
             array($a_qst_id, $a_result)
         );
 
         $row = $ilDB->fetchAssoc($res);
 
         return $row['result_type'];
     }

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◆ getTolerance()

assFormulaQuestionResult::getTolerance ( )

Definition at line 685 of file class.assFormulaQuestionResult.php.

References $tolerance.

Referenced by getReachedPoints(), getResultInfo(), and isCorrect().

     {
         return $this->tolerance;
     }

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◆ getUnit()

assFormulaQuestionResult::getUnit ( )

Definition at line 695 of file class.assFormulaQuestionResult.php.

References $unit.

Referenced by calculateFormula(), getRangeMaxBase(), getRangeMinBase(), getReachedPoints(), getResultInfo(), isCorrect(), and suggestRange().

     {
         return $this->unit;
     }

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◆ isCoprimeFraction()

static assFormulaQuestionResult::isCoprimeFraction	(	$numerator,
		$denominator
	)

static

Definition at line 820 of file class.assFormulaQuestionResult.php.

     {
         $gcd = self::getGreatestCommonDivisor(abs($numerator), abs($denominator));
 
         return $gcd == 1 ? true : false;
     }

◆ isCorrect()

assFormulaQuestionResult::isCorrect	(	$variables,
		$results,
		$value,
		$unit = `null`
	)

Parameters

	$variables	formula variables containing units
	$results	formula results containing units
	$value	user input value
null	$unit	user input unit

Returns: bool

Definition at line 224 of file class.assFormulaQuestionResult.php.

References $formula, $result, $results, $unit, ilMath\_div(), ilMath\_mul(), getPrecision(), getResultType(), getTolerance(), getUnit(), isInTolerance(), RESULT_CO_FRAC, RESULT_DEC, RESULT_FRAC, RESULT_NO_SELECTION, and substituteFormula().

Referenced by getReachedPoints(), getResultInfo(), and assFormulaQuestionTest\testSimpleRatedFormulaQuestionCalculations().

     {
         // The user did not answer the question ....
         if ($value === null || 0 == strlen($value)) {
             return false;
         }
         $value = str_replace(' ', '', $value);
         
         include_once "./Services/Math/classes/class.EvalMath.php";
         include_once "./Services/Math/classes/class.ilMath.php";
         $formula = $this->substituteFormula($variables, $results);
 
         $check_valid_chars = true;
         
         if (preg_match_all("/(\\\$v\\d+)/ims", $formula, $matches)) {
             foreach ($matches[1] as $variable) {
                 $varObj = $variables[$variable];
                 if (!is_object($varObj)) {
                     continue;
                 }
 
                 if ($varObj->getUnit() != null) {
                     //convert unit and value to baseunit.... because vars could have different units
                     if ($varObj->getUnit()->getBaseUnit() != -1) { #$this->getUnit() != NULL)
                         $tmp_value = $varObj->getValue() * $varObj->getUnit()->getFactor();
                     } else {
                         $tmp_value = $varObj->getValue();
                     }
                 } else {
                     $tmp_value = $varObj->getValue();
                 }
 
                 $formula = preg_replace("/\\\$" . substr($variable, 1) . "(?![0-9]+)/", "(" . $tmp_value . ")" . "\\1", $formula);
             }
         }
 
         $math = new EvalMath();
         $math->suppress_errors = true;
         $result = $math->evaluate($formula); // baseunit-result!!
         $resultWithRespectedUnit = $result;
 
         if (is_object($this->getUnit())) {
             //there is a "fix" result_unit defined!
 
             // if expected resultunit != baseunit convert to "fix" result_unit
             if ($this->getUnit()->getBaseUnit() != -1) {
                 $resultWithRespectedUnit = ilMath::_div($result, $this->getUnit()->getFactor());
             }
         } elseif ($this->getUnit() == null && $unit != null) {
             // there is no "fix" result_unit defined, but the user has selected a unit ...
             // so .... there are "available resultunits" in multi-selectbox selected
             // -> check if selected user-unit is baseunit
             if ($unit->getFactor() != 1 && strlen(trim($unit->getFactor())) != 1) {
                 // result is already calculated to baseunit.... -> get correct precision..
                 $resultWithRespectedUnit = ilMath::_div($result, $unit->getFactor());
             }
         }
 
         //      check for valid chars ("0-9",",|.|/","0-9","e|E","+|-","0-9")
         $has_valid_chars = preg_match("/^-?([0-9]*)(,|\\.|\\/){0,1}([0-9]*)([eE][\\+|-]([0-9])+)?$/", $value, $matches);
         if (!$has_valid_chars) {
             $check_valid_chars = false;
         } elseif (
             (isset($matches[2]) && $matches[2] == '/') &&
             (isset($matches[4]) && strtolower($matches[4]) == "e") &&
             (!isset($matches[1]) || !strlen($matches[1]) || !isset($matches[3]) || !strlen($matches[3]) || $matches[3] == 0)) {
             $check_valid_chars = false;
         }
 
         // result_type extension
         switch ($this->getResultType()) {
             case assFormulaQuestionResult::RESULT_DEC:
                 if (substr_count($value, '.') == 1 || substr_count($value, ',') == 1) {
                     $exp_val = $value;
                     $frac_value = str_replace(',', '.', $exp_val);
                 } else {
                     $frac_value = $value;
                 }
 
                 if (substr_count($value, '/') >= 1) {
                     $check_fraction = false;
                 } else {
                     $check_fraction = true;
                 }
                 break;
             
             case assFormulaQuestionResult::RESULT_FRAC:
             case assFormulaQuestionResult::RESULT_CO_FRAC:
                 $exp_val = explode('/', $value);
                 if (count($exp_val) == 1) {
                     $frac_value = ilMath::_div($exp_val[0], 1);
                   
                     if (ilMath::_equals($frac_value, $resultWithRespectedUnit, $this->getPrecision())) {
                         $check_fraction = true;
                     } else {
                         $check_fraction = false;
                     }
                 } else {
                     try {
                         $frac_value = ilMath::_div($exp_val[0], $exp_val[1]);
                     } catch (ilMathDivisionByZeroException $ex) {
                         if ($result) {
                             return false;
                         } else {
                             return true;
                         }
                     }
                     $frac_value = str_replace(',', '.', $frac_value);
 
                     if (ilMath::_equals($frac_value, $resultWithRespectedUnit, $this->getPrecision())) {
                         $check_fraction = true;
                     }
                     
                     if ($this->getResultType() == assFormulaQuestionResult::RESULT_CO_FRAC) {
                         if (!self::isCoprimeFraction($exp_val[0], $exp_val[1])) {
                             $check_fraction = false;
                         }
                     }
                 }
                 
                 if (substr_count($value, '.') >= 1 || substr_count($value, ',') >= 1) {
                     $check_fraction = false;
                 }
                 break;
             
             case assFormulaQuestionResult::RESULT_NO_SELECTION:
             default:
                 if (substr_count($value, '.') == 1 || substr_count($value, ',') == 1) {
                     $frac_value = str_replace(',', '.', $value);
                 } elseif (substr_count($value, '/') == 1) {
                     $exp_val = explode('/', $value);
                     try {
                          $frac_value = ilMath::_div($exp_val[0], $exp_val[1]);
                     } catch (ilMathDivisionByZeroException $ex) {
                         if ($result) {
                             return false;
                         } else {
                             return true;
                         }
                     }
                 } else {
                     $frac_value = $value;
                 }
 
                 $check_fraction = true;
             break;
         }
 
         if (is_object($unit)) {
             if (isset($frac_value)) {
                 $value = ilMath::_mul($frac_value, $unit->getFactor(), 100);
             }
         }
 
         $frac_value = ilMath::_round($frac_value, $this->getPrecision());
         $resultWithRespectedUnit = ilMath::_round($resultWithRespectedUnit, $this->getPrecision());
 
         $checkvalue = false;
         if (isset($frac_value)) {
             if ($this->isInTolerance($frac_value, $resultWithRespectedUnit, $this->getTolerance())) {
                 $checkvalue = true;
             }
         } else {
             if ($this->isInTolerance($value, $resultWithRespectedUnit, $this->getTolerance())) {
                 $checkvalue = true;
             }
         }
 
         $checkunit = true;
         if (is_object($this->getUnit())) {
             if (is_object($unit)) {
                 if ($unit->getId() != $this->getUnit()->getId()) {
                     $checkunit = false;
                 }
             }
         }
         return $checkvalue && $checkunit && $check_fraction && $check_valid_chars;
     }

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◆ isInTolerance()

assFormulaQuestionResult::isInTolerance	(	$user_answer,
		$expected,
		$tolerated_percentage
	)

protected

Definition at line 403 of file class.assFormulaQuestionResult.php.

References ilMath\_add(), ilMath\_div(), ilMath\_mul(), ilMath\_sub(), and getPrecision().

Referenced by getReachedPoints(), getResultInfo(), and isCorrect().

     {
         $user_answer = ilMath::_mul($user_answer, 1, $this->getPrecision());
         $tolerance_abs = abs(ilMath::_div(ilMath::_mul($tolerated_percentage, $expected, 100), 100));
         $lower_boundary = ilMath::_sub($expected, $tolerance_abs);
         $upper_boundary = ilMath::_add($expected, $tolerance_abs);
 
         return $lower_boundary <= $user_answer 
             && $user_answer <= $upper_boundary;
     }

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◆ setFormula()

assFormulaQuestionResult::setFormula ( $formula )

Definition at line 700 of file class.assFormulaQuestionResult.php.

References $formula.

     {
         $this->formula = $formula;
     }

◆ setPoints()

assFormulaQuestionResult::setPoints ( $points )

Definition at line 710 of file class.assFormulaQuestionResult.php.

References $points.

     {
         $this->points = $points;
     }

◆ setPrecision()

assFormulaQuestionResult::setPrecision ( $precision )

Definition at line 760 of file class.assFormulaQuestionResult.php.

References $precision.

     {
         $this->precision = $precision;
     }

◆ setRangeMax()

assFormulaQuestionResult::setRangeMax ( $range_max )

Definition at line 648 of file class.assFormulaQuestionResult.php.

References $range_max, and $result.

Referenced by __construct(), and suggestRange().

     {
         //              include_once "./Services/Math/classes/class.EvalMath.php";
         //              $math = new EvalMath();
         //              $math->suppress_errors = TRUE;
         //              $result = $math->evaluate($range_max);
         //              $val = (strlen($result) > 8) ? strtoupper(sprintf("%e", $result)) : $result;
         //              $this->range_max = $val;
 
         include_once "./Services/Math/classes/class.EvalMath.php";
         $math = new EvalMath();
         $math->suppress_errors = true;
         $result = $math->evaluate($range_max);
         $this->range_max = $result;
     }

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◆ setRangeMaxTxt()

assFormulaQuestionResult::setRangeMaxTxt ( $range_max_txt )

Definition at line 780 of file class.assFormulaQuestionResult.php.

References $range_max_txt.

Referenced by __construct().

     {
         $this->range_max_txt = $range_max_txt;
     }

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◆ setRangeMin()

assFormulaQuestionResult::setRangeMin ( $range_min )

Definition at line 616 of file class.assFormulaQuestionResult.php.

References $range_min, and $result.

Referenced by __construct(), and suggestRange().

     {
         //              include_once "./Services/Math/classes/class.EvalMath.php";
         //              $math = new EvalMath();
         //              $math->suppress_errors = TRUE;
         //              $result = $math->evaluate($range_min);
         //              $val = (strlen($result) > 8) ? strtoupper(sprintf("%e", $result)) : $result;
         //              $this->range_min = $val;
 
         include_once "./Services/Math/classes/class.EvalMath.php";
         $math = new EvalMath();
         $math->suppress_errors = true;
         $result = $math->evaluate($range_min);
         $this->range_min = $result;
     }

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◆ setRangeMinTxt()

assFormulaQuestionResult::setRangeMinTxt ( $range_min_txt )

Definition at line 790 of file class.assFormulaQuestionResult.php.

References $range_min_txt.

Referenced by __construct().

     {
         $this->range_min_txt = $range_min_txt;
     }

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◆ setRatingSign()

assFormulaQuestionResult::setRatingSign ( $rating_sign )

Definition at line 730 of file class.assFormulaQuestionResult.php.

References $rating_sign.

     {
         $this->rating_sign = $rating_sign;
     }

◆ setRatingSimple()

assFormulaQuestionResult::setRatingSimple ( $rating_simple )

Definition at line 720 of file class.assFormulaQuestionResult.php.

References $rating_simple.

     {
         $this->rating_simple = $rating_simple;
     }

◆ setRatingUnit()

assFormulaQuestionResult::setRatingUnit ( $rating_unit )

Definition at line 750 of file class.assFormulaQuestionResult.php.

References $rating_unit.

     {
         $this->rating_unit = $rating_unit;
     }

◆ setRatingValue()

assFormulaQuestionResult::setRatingValue ( $rating_value )

Definition at line 740 of file class.assFormulaQuestionResult.php.

References $rating_value.

     {
         $this->rating_value = $rating_value;
     }

◆ setResult()

assFormulaQuestionResult::setResult ( $result )

Definition at line 606 of file class.assFormulaQuestionResult.php.

References $result.

     {
         $this->result = $result;
     }

◆ setResultType()

assFormulaQuestionResult::setResultType ( $a_result_type )

Definition at line 770 of file class.assFormulaQuestionResult.php.

     {
         $this->result_type = $a_result_type;
     }

◆ setTolerance()

assFormulaQuestionResult::setTolerance ( $tolerance )

Definition at line 680 of file class.assFormulaQuestionResult.php.

References $tolerance.

     {
         $this->tolerance = $tolerance;
     }

◆ setUnit()

assFormulaQuestionResult::setUnit ( $unit )

Definition at line 690 of file class.assFormulaQuestionResult.php.

References $unit.

     {
         $this->unit = $unit;
     }

◆ substituteFormula()

assFormulaQuestionResult::substituteFormula	(	$variables,
		$results
	)

Definition at line 74 of file class.assFormulaQuestionResult.php.

References $DIC, $formula, $lng, $result, $results, getFormula(), getResult(), and ilUtil\sendFailure().

Referenced by calculateFormula(), findValidRandomVariables(), getReachedPoints(), getResultInfo(), isCorrect(), and suggestRange().

     {
         global $DIC;
         $lng = $DIC['lng'];
 
         $formula = $this->getFormula();
 
         if (preg_match_all("/(\\\$r\\d+)/ims", $formula, $matches)) {
             foreach ($matches[1] as $result) {
                 if (strcmp($result, $this->getResult()) == 0) {
                     ilUtil::sendFailure($lng->txt("errRecursionInResult"));
                     return false;
                 }
 
                 if (is_object($results[$result])) {
                     $formula = str_replace($result, $results[$result]->substituteFormula($variables, $results), $formula);
                 } else {
                     ilUtil::sendFailure($lng->txt("errFormulaQuestion"));
                     return false;
                 }
             }
         }
 
         return "(" . $formula . ")";
     }

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◆ suggestRange()

assFormulaQuestionResult::suggestRange	(	$variables,
		$results
	)

Definition at line 179 of file class.assFormulaQuestionResult.php.

References $formula, $i, $range_max, $range_min, $result, $results, ilMath\_div(), ilMath\_mul(), getPrecision(), getUnit(), setRangeMax(), setRangeMin(), and substituteFormula().

     {
         
 //              @todo Check this
         include_once "./Services/Math/classes/class.EvalMath.php";
         $range_min = null;
         $range_max = null;
         for ($i = 0; $i < 1000; $i++) {
             $formula = $this->substituteFormula($variables, $results);
             if (preg_match_all("/(\\\$v\\d+)/ims", $formula, $matches)) {
                 foreach ($matches[1] as $variable) {
                     $varObj = $variables[$variable];
                     if (!is_object($varObj)) {
                         continue;
                     }
                     $varObj->setRandomValue();
                     $formula = preg_replace("/\\\$" . substr($variable, 1) . "(?![0-9]+)/", "(" . $varObj->getBaseValue() . ")" . "\\1", $formula);
                 }
             }
             $math = new EvalMath();
             $math->suppress_errors = true;
             $result = $math->evaluate($formula);
             if (($range_min == null) || ($result < $range_min)) {
                 $range_min = $result;
             }
             if (($range_max == null) || ($result > $range_max)) {
                 $range_max = $result;
             }
         }
         include_once "./Services/Math/classes/class.ilMath.php";
         if (is_object($this->getUnit())) {
             $range_min = ilMath::_div($range_min, $this->getUnit()->getFactor());
             $range_max = ilMath::_div($range_max, $this->getUnit()->getFactor());
         }
         $this->setRangeMin(ilMath::_mul($range_min, 1, $this->getPrecision()));
         $this->setRangeMax(ilMath::_mul($range_max, 1, $this->getPrecision()));
     }