2 // This file is part of Moodle - http://moodle.org/
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.
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.
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 if (!defined('MOODLE_INTERNAL')) {
17 die('Direct access to this script is forbidden.');/// It must be included from a Moodle page
20 require_once($CFG->libdir . '/mathslib.php');
23 * Unit tests of mathslib wrapper and underlying EvalMath library.
25 * @author Petr Skoda (skodak)
28 class mathsslib_test extends UnitTestCase {
30 public static $includecoverage = array('lib/mathslib.php');
33 * Tests the basic formula evaluation
35 public function test__basic() {
36 $formula = new calc_formula('=1+2');
37 $res = $formula->evaluate();
38 $this->assertEqual($res, 3, '3+1 is: %s');
42 * Tests the formula params
44 public function test__params() {
45 $formula = new calc_formula('=a+b+c', array('a'=>10, 'b'=>20, 'c'=>30));
46 $res = $formula->evaluate();
47 $this->assertEqual($res, 60, '10+20+30 is: %s');
51 * Tests the changed params
53 public function test__changing_params() {
54 $formula = new calc_formula('=a+b+c', array('a'=>10, 'b'=>20, 'c'=>30));
55 $res = $formula->evaluate();
56 $this->assertEqual($res, 60, '10+20+30 is: %s');
57 $formula->set_params(array('a'=>1, 'b'=>2, 'c'=>3));
58 $res = $formula->evaluate();
59 $this->assertEqual($res, 6, 'changed params 1+2+3 is: %s');
63 * Tests the spreadsheet emulation function in formula
65 public function test__calc_function() {
66 $formula = new calc_formula('=sum(a, b, c)', array('a'=>10, 'b'=>20, 'c'=>30));
67 $res = $formula->evaluate();
68 $this->assertEqual($res, 60, 'sum(a, b, c) is: %s');
71 public function test_other_functions() {
72 $formula = new calc_formula('=average(1,2,3)');
73 $this->assertEqual($formula->evaluate(), 2);
75 $formula = new calc_formula('=mod(10,3)');
76 $this->assertEqual($formula->evaluate(), 1);
78 $formula = new calc_formula('=power(2,3)');
79 $this->assertEqual($formula->evaluate(), 8);
83 * Tests the min and max functions
85 public function test__minmax_function() {
86 $formula = new calc_formula('=min(a, b, c)', array('a'=>10, 'b'=>20, 'c'=>30));
87 $res = $formula->evaluate();
88 $this->assertEqual($res, 10, 'minimum is: %s');
89 $formula = new calc_formula('=max(a, b, c)', array('a'=>10, 'b'=>20, 'c'=>30));
90 $res = $formula->evaluate();
91 $this->assertEqual($res, 30, 'maximum is: %s');
97 public function test__specialchars() {
98 $formula = new calc_formula('=gi1 + gi2 + gi11', array('gi1'=>10, 'gi2'=>20, 'gi11'=>30));
99 $res = $formula->evaluate();
100 $this->assertEqual($res, 60, 'sum is: %s');
104 * Tests some slightly more complex expressions
106 public function test__more_complex_expressions() {
107 $formula = new calc_formula('=pi() + a', array('a'=>10));
108 $res = $formula->evaluate();
109 $this->assertEqual($res, pi()+10);
110 $formula = new calc_formula('=pi()^a', array('a'=>10));
111 $res = $formula->evaluate();
112 $this->assertEqual($res, pow(pi(), 10));
113 $formula = new calc_formula('=-8*(5/2)^2*(1-sqrt(4))-8');
114 $res = $formula->evaluate();
115 $this->assertEqual($res, -8*pow((5/2), 2)*(1-sqrt(4))-8);
119 * Tests some slightly more complex expressions
121 public function test__error_handling() {
122 if (debugging('', DEBUG_DEVELOPER)) {
123 $this->expectError();
125 $formula = new calc_formula('=pi( + a', array('a'=>10));
126 $res = $formula->evaluate();
127 $this->assertEqual($res, false);
128 $this->assertEqual($formula->get_error(),
129 get_string('unexpectedoperator', 'mathslib', '+'));
131 if (debugging('', DEBUG_DEVELOPER)) {
132 $this->expectError();
134 $formula = new calc_formula('=pi(');
135 $res = $formula->evaluate();
136 $this->assertEqual($res, false);
137 $this->assertEqual($formula->get_error(),
138 get_string('expectingaclosingbracket', 'mathslib'));
140 if (debugging('', DEBUG_DEVELOPER)) {
141 $this->expectError();
143 $formula = new calc_formula('=pi()^');
144 $res = $formula->evaluate();
145 $this->assertEqual($res, false);
146 $this->assertEqual($formula->get_error(),
147 get_string('operatorlacksoperand', 'mathslib', '^'));
151 public function test_rounding_function() {
152 $formula = new calc_formula('=round(2.5)');
153 $this->assertEqual($formula->evaluate(), 3);
155 $formula = new calc_formula('=round(1.5)');
156 $this->assertEqual($formula->evaluate(), 2);
158 $formula = new calc_formula('=round(-1.49)');
159 $this->assertEqual($formula->evaluate(), -1);
161 $formula = new calc_formula('=round(-2.49)');
162 $this->assertEqual($formula->evaluate(), -2);
164 $formula = new calc_formula('=round(-1.5)');
165 $this->assertEqual($formula->evaluate(), -2);
167 $formula = new calc_formula('=round(-2.5)');
168 $this->assertEqual($formula->evaluate(), -3);
170 $formula = new calc_formula('=ceil(2.5)');
171 $this->assertEqual($formula->evaluate(), 3);
173 $formula = new calc_formula('=ceil(1.5)');
174 $this->assertEqual($formula->evaluate(), 2);
176 $formula = new calc_formula('=ceil(-1.49)');
177 $this->assertEqual($formula->evaluate(), -1);
179 $formula = new calc_formula('=ceil(-2.49)');
180 $this->assertEqual($formula->evaluate(), -2);
182 $formula = new calc_formula('=ceil(-1.5)');
183 $this->assertEqual($formula->evaluate(), -1);
185 $formula = new calc_formula('=ceil(-2.5)');
186 $this->assertEqual($formula->evaluate(), -2);
188 $formula = new calc_formula('=floor(2.5)');
189 $this->assertEqual($formula->evaluate(), 2);
191 $formula = new calc_formula('=floor(1.5)');
192 $this->assertEqual($formula->evaluate(), 1);
194 $formula = new calc_formula('=floor(-1.49)');
195 $this->assertEqual($formula->evaluate(), -2);
197 $formula = new calc_formula('=floor(-2.49)');
198 $this->assertEqual($formula->evaluate(), -3);
200 $formula = new calc_formula('=floor(-1.5)');
201 $this->assertEqual($formula->evaluate(), -2);
203 $formula = new calc_formula('=floor(-2.5)');
204 $this->assertEqual($formula->evaluate(), -3);
208 public function test_scientific_notation() {
209 $formula = new calc_formula('=10e10');
210 $this->assertWithinMargin($formula->evaluate(), 1e11, 1e11*1e-15);
212 $formula = new calc_formula('=10e-10');
213 $this->assertWithinMargin($formula->evaluate(), 1e-9, 1e11*1e-15);
215 $formula = new calc_formula('=10e+10');
216 $this->assertWithinMargin($formula->evaluate(), 1e11, 1e11*1e-15);
218 $formula = new calc_formula('=10e10*5');
219 $this->assertWithinMargin($formula->evaluate(), 5e11, 1e11*1e-15);
221 $formula = new calc_formula('=10e10^2');
222 $this->assertWithinMargin($formula->evaluate(), 1e22, 1e22*1e-15);