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   1  <?php
   2  // This file is part of Moodle - http://moodle.org/
   3  //
   4  // Moodle is free software: you can redistribute it and/or modify
   5  // it under the terms of the GNU General Public License as published by
   6  // the Free Software Foundation, either version 3 of the License, or
   7  // (at your option) any later version.
   8  //
   9  // Moodle is distributed in the hope that it will be useful,
  10  // but WITHOUT ANY WARRANTY; without even the implied warranty of
  11  // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  12  // GNU General Public License for more details.
  13  //
  14  // You should have received a copy of the GNU General Public License
  15  // along with Moodle.  If not, see <http://www.gnu.org/licenses/>.
  16  
  17  /**
  18   * Unit tests of mathslib wrapper and underlying EvalMath library.
  19   *
  20   * @package    core
  21   * @category   phpunit
  22   * @copyright  2007 Petr Skoda {@link http://skodak.org}
  23   * @license    http://www.gnu.org/copyleft/gpl.html GNU GPL v3 or later
  24   */
  25  
  26  defined('MOODLE_INTERNAL') || die();
  27  
  28  global $CFG;
  29  require_once($CFG->libdir . '/mathslib.php');
  30  
  31  
  32  class core_mathslib_testcase extends basic_testcase {
  33  
  34      /**
  35       * Tests the basic formula evaluation.
  36       */
  37      public function test__basic() {
  38          $formula = new calc_formula('=1+2');
  39          $res = $formula->evaluate();
  40          $this->assertSame($res, 3, '3+1 is: %s');
  41      }
  42  
  43      /**
  44       * Tests the formula params.
  45       */
  46      public function test__params() {
  47          $formula = new calc_formula('=a+b+c', array('a'=>10, 'b'=>20, 'c'=>30));
  48          $res = $formula->evaluate();
  49          $this->assertSame(60, $res, '10+20+30 is: %s');
  50      }
  51  
  52      /**
  53       * Tests the changed params.
  54       */
  55      public function test__changing_params() {
  56          $formula = new calc_formula('=a+b+c', array('a'=>10, 'b'=>20, 'c'=>30));
  57          $res = $formula->evaluate();
  58          $this->assertSame(60, $res, '10+20+30 is: %s');
  59          $formula->set_params(array('a'=>1, 'b'=>2, 'c'=>3));
  60          $res = $formula->evaluate();
  61          $this->assertSame(6, $res, 'changed params 1+2+3 is: %s');
  62      }
  63  
  64      /**
  65       * Tests the spreadsheet emulation function in formula.
  66       */
  67      public function test__calc_function() {
  68          $formula = new calc_formula('=sum(a, b, c)', array('a'=>10, 'b'=>20, 'c'=>30));
  69          $res = $formula->evaluate();
  70          $this->assertSame(60, $res, 'sum(a, b, c) is: %s');
  71      }
  72  
  73      public function test_other_functions() {
  74          $formula = new calc_formula('=average(1,2,3)');
  75          $this->assertSame(2, $formula->evaluate());
  76  
  77          $formula = new calc_formula('=mod(10,3)');
  78          $this->assertSame(1, $formula->evaluate());
  79  
  80          $formula = new calc_formula('=power(2,3)');
  81          $this->assertSame(8, $formula->evaluate());
  82      }
  83  
  84      /**
  85       * Tests the min and max functions.
  86       */
  87      public function test__minmax_function() {
  88          $formula = new calc_formula('=min(a, b, c)', array('a'=>10, 'b'=>20, 'c'=>30));
  89          $res = $formula->evaluate();
  90          $this->assertSame(10, $res, 'minimum is: %s');
  91          $formula = new calc_formula('=max(a, b, c)', array('a'=>10, 'b'=>20, 'c'=>30));
  92          $res = $formula->evaluate();
  93          $this->assertSame(30, $res, 'maximum is: %s');
  94      }
  95  
  96      /**
  97       * Tests special chars.
  98       */
  99      public function test__specialchars() {
 100          $formula = new calc_formula('=gi1 + gi2 + gi11', array('gi1'=>10, 'gi2'=>20, 'gi11'=>30));
 101          $res = $formula->evaluate();
 102          $this->assertSame(60, $res, 'sum is: %s');
 103      }
 104  
 105      /**
 106       * Tests some slightly more complex expressions.
 107       */
 108      public function test__more_complex_expressions() {
 109          $formula = new calc_formula('=pi() + a', array('a'=>10));
 110          $res = $formula->evaluate();
 111          $this->assertSame(pi()+10, $res);
 112          $formula = new calc_formula('=pi()^a', array('a'=>10));
 113          $res = $formula->evaluate();
 114          $this->assertSame(pow(pi(), 10), $res);
 115          $formula = new calc_formula('=-8*(5/2)^2*(1-sqrt(4))-8');
 116          $res = $formula->evaluate();
 117          $this->assertSame(-8*pow((5/2), 2)*(1-sqrt(4))-8, $res);
 118      }
 119  
 120      /**
 121       * Tests some slightly more complex expressions.
 122       */
 123      public function test__error_handling() {
 124          $formula = new calc_formula('=pi( + a', array('a'=>10));
 125          $res = $formula->evaluate();
 126          $this->assertFalse($res);
 127          $this->assertSame(get_string('unexpectedoperator', 'mathslib', '+'), $formula->get_error());
 128  
 129          $formula = new calc_formula('=pi(');
 130          $res = $formula->evaluate();
 131          $this->assertSame($res, false);
 132          $this->assertSame(get_string('expectingaclosingbracket', 'mathslib'), $formula->get_error());
 133  
 134          $formula = new calc_formula('=pi()^');
 135          $res = $formula->evaluate();
 136          $this->assertSame($res, false);
 137          $this->assertSame(get_string('operatorlacksoperand', 'mathslib', '^'), $formula->get_error());
 138  
 139      }
 140  
 141      public function test_rounding_function() {
 142          // Rounding to the default number of decimal places.
 143          // The default == 0.
 144  
 145          $formula = new calc_formula('=round(2.5)');
 146          $this->assertSame(3.0, $formula->evaluate());
 147  
 148          $formula = new calc_formula('=round(1.5)');
 149          $this->assertSame(2.0, $formula->evaluate());
 150  
 151          $formula = new calc_formula('=round(-1.49)');
 152          $this->assertSame(-1.0, $formula->evaluate());
 153  
 154          $formula = new calc_formula('=round(-2.49)');
 155          $this->assertSame(-2.0, $formula->evaluate());
 156  
 157          $formula = new calc_formula('=round(-1.5)');
 158          $this->assertSame(-2.0, $formula->evaluate());
 159  
 160          $formula = new calc_formula('=round(-2.5)');
 161          $this->assertSame(-3.0, $formula->evaluate());
 162  
 163          $formula = new calc_formula('=ceil(2.5)');
 164          $this->assertSame(3.0, $formula->evaluate());
 165  
 166          $formula = new calc_formula('=ceil(1.5)');
 167          $this->assertSame(2.0, $formula->evaluate());
 168  
 169          $formula = new calc_formula('=ceil(-1.49)');
 170          $this->assertSame(-1.0, $formula->evaluate());
 171  
 172          $formula = new calc_formula('=ceil(-2.49)');
 173          $this->assertSame(-2.0, $formula->evaluate());
 174  
 175          $formula = new calc_formula('=ceil(-1.5)');
 176          $this->assertSame(-1.0, $formula->evaluate());
 177  
 178          $formula = new calc_formula('=ceil(-2.5)');
 179          $this->assertSame(-2.0, $formula->evaluate());
 180  
 181          $formula = new calc_formula('=floor(2.5)');
 182          $this->assertSame(2.0, $formula->evaluate());
 183  
 184          $formula = new calc_formula('=floor(1.5)');
 185          $this->assertSame(1.0, $formula->evaluate());
 186  
 187          $formula = new calc_formula('=floor(-1.49)');
 188          $this->assertSame(-2.0, $formula->evaluate());
 189  
 190          $formula = new calc_formula('=floor(-2.49)');
 191          $this->assertSame(-3.0, $formula->evaluate());
 192  
 193          $formula = new calc_formula('=floor(-1.5)');
 194          $this->assertSame(-2.0, $formula->evaluate());
 195  
 196          $formula = new calc_formula('=floor(-2.5)');
 197          $this->assertSame(-3.0, $formula->evaluate());
 198  
 199          // Rounding to an explicit number of decimal places.
 200  
 201          $formula = new calc_formula('=round(2.5, 1)');
 202          $this->assertSame(2.5, $formula->evaluate());
 203  
 204          $formula = new calc_formula('=round(2.5, 0)');
 205          $this->assertSame(3.0, $formula->evaluate());
 206  
 207          $formula = new calc_formula('=round(1.2345, 2)');
 208          $this->assertSame(1.23, $formula->evaluate());
 209  
 210          $formula = new calc_formula('=round(123.456, -1)');
 211          $this->assertSame(120.0, $formula->evaluate());
 212      }
 213  
 214      public function test_scientific_notation() {
 215          $formula = new calc_formula('=10e10');
 216          $this->assertEquals(1e11, $formula->evaluate(), '', 1e11*1e-15);
 217  
 218          $formula = new calc_formula('=10e-10');
 219          $this->assertEquals(1e-9, $formula->evaluate(), '', 1e11*1e-15);
 220  
 221          $formula = new calc_formula('=10e+10');
 222          $this->assertEquals(1e11, $formula->evaluate(), '', 1e11*1e-15);
 223  
 224          $formula = new calc_formula('=10e10*5');
 225          $this->assertEquals(5e11, $formula->evaluate(), '', 1e11*1e-15);
 226  
 227          $formula = new calc_formula('=10e10^2');
 228          $this->assertEquals(1e22, $formula->evaluate(), '', 1e22*1e-15);
 229      }
 230  
 231      public function test_rand_float() {
 232          $formula = new calc_formula('=rand_float()');
 233          $result = $formula->evaluate();
 234          $this->assertTrue(is_float($result));
 235      }
 236  }