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1 efrain 1
<?php
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// This file is part of Moodle - http://moodle.org/
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//
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// Moodle is free software: you can redistribute it and/or modify
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// it under the terms of the GNU General Public License as published by
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// the Free Software Foundation, either version 3 of the License, or
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// (at your option) any later version.
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//
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// Moodle is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with Moodle.  If not, see <http://www.gnu.org/licenses/>.
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17
namespace core;
18
 
19
use calc_formula;
20
 
21
defined('MOODLE_INTERNAL') || die();
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23
global $CFG;
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require_once($CFG->libdir . '/mathslib.php');
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/**
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 * Unit tests of mathslib wrapper and underlying EvalMath library.
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 *
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 * @package    core
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 * @category   phpunit
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 * @copyright  2007 Petr Skoda {@link http://skodak.org}
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 * @license    http://www.gnu.org/copyleft/gpl.html GNU GPL v3 or later
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 */
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class mathslib_test extends \basic_testcase {
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36
    /**
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     * Tests the basic formula evaluation.
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     */
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    public function test__basic(): void {
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        $formula = new calc_formula('=1+2');
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        $res = $formula->evaluate();
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        $this->assertSame($res, 3, '3+1 is: %s');
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    }
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    /**
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     * Tests the formula params.
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     */
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    public function test__params(): void {
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        $formula = new calc_formula('=a+b+c', array('a'=>10, 'b'=>20, 'c'=>30));
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        $res = $formula->evaluate();
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        $this->assertSame(60, $res, '10+20+30 is: %s');
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    }
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54
    /**
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     * Tests the changed params.
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     */
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    public function test__changing_params(): void {
1 efrain 58
        $formula = new calc_formula('=a+b+c', array('a'=>10, 'b'=>20, 'c'=>30));
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        $res = $formula->evaluate();
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        $this->assertSame(60, $res, '10+20+30 is: %s');
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        $formula->set_params(array('a'=>1, 'b'=>2, 'c'=>3));
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        $res = $formula->evaluate();
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        $this->assertSame(6, $res, 'changed params 1+2+3 is: %s');
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    }
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66
    /**
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     * Tests the spreadsheet emulation function in formula.
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     */
11 efrain 69
    public function test__calc_function(): void {
1 efrain 70
        $formula = new calc_formula('=sum(a, b, c)', array('a'=>10, 'b'=>20, 'c'=>30));
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        $res = $formula->evaluate();
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        $this->assertSame(60, $res, 'sum(a, b, c) is: %s');
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    }
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    public function test_other_functions(): void {
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        $formula = new calc_formula('=average(1,2,3)');
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        $this->assertSame(2, $formula->evaluate());
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79
        $formula = new calc_formula('=mod(10,3)');
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        $this->assertSame(1, $formula->evaluate());
81
 
82
        $formula = new calc_formula('=power(2,3)');
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        $this->assertSame(8, $formula->evaluate());
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    }
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11 efrain 86
    public function test_conditional_functions(): void {
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        // Test ifthenelse.
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        $formula = new calc_formula('=ifthenelse(1,2,3)');
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        $this->assertSame(2, (int)$formula->evaluate());
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91
        $formula = new calc_formula('=ifthenelse(0,2,3)');
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        $this->assertSame(3, (int) $formula->evaluate());
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94
        $formula = new calc_formula('=ifthenelse(2<3,2,3)');
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        $this->assertSame(2, (int) $formula->evaluate());
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        // Test synonym if.
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        $formula = new calc_formula('=if(1,2,3)');
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        $this->assertSame(2, (int)$formula->evaluate());
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101
        $formula = new calc_formula('=if(0,2,3)');
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        $this->assertSame(3, (int) $formula->evaluate());
103
 
104
        $formula = new calc_formula('=if(2<3,2,3)');
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        $this->assertSame(2, (int) $formula->evaluate());
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107
        // Test cond_and.
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        $formula = new calc_formula('=cond_and(1,1,1)');
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        $this->assertSame(1, (int)$formula->evaluate());
110
 
111
        $formula = new calc_formula('=cond_and(1,1,0)');
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        $this->assertSame(0, (int) $formula->evaluate());
113
 
114
        $formula = new calc_formula('=cond_and(0,0,0)');
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        $this->assertSame(0, (int) $formula->evaluate());
116
 
117
        // Test synonym and.
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        $formula = new calc_formula('=and(1,1,1)');
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        $this->assertSame(1, (int)$formula->evaluate());
120
 
121
        $formula = new calc_formula('=and(1,1,0)');
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        $this->assertSame(0, (int) $formula->evaluate());
123
 
124
        $formula = new calc_formula('=and(0,0,0)');
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        $this->assertSame(0, (int) $formula->evaluate());
126
 
127
        // Test cond_or.
128
        $formula = new calc_formula('=cond_or(1,1,1)');
129
        $this->assertSame(1, (int)$formula->evaluate());
130
 
131
        $formula = new calc_formula('=cond_or(1,1,0)');
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        $this->assertSame(1, (int) $formula->evaluate());
133
 
134
        $formula = new calc_formula('=cond_or(0,0,0)');
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        $this->assertSame(0, (int) $formula->evaluate());
136
 
137
        // Test synonym or.
138
        $formula = new calc_formula('=or(1,1,1)');
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        $this->assertSame(1, (int)$formula->evaluate());
140
 
141
        $formula = new calc_formula('=or(1,1,0)');
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        $this->assertSame(1, (int) $formula->evaluate());
143
 
144
        $formula = new calc_formula('=or(0,0,0)');
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        $this->assertSame(0, (int) $formula->evaluate());
146
    }
147
 
11 efrain 148
    public function test_conditional_operators(): void {
1 efrain 149
        $formula = new calc_formula('=2==2');
150
        $this->assertSame(1, $formula->evaluate());
151
 
152
        $formula = new calc_formula('=2>3');
153
        $this->assertSame(0, $formula->evaluate());
154
        $formula = new calc_formula('=2<3');
155
        $this->assertSame(1, $formula->evaluate());
156
 
157
        $formula = new calc_formula('=(2<=3)');
158
        $this->assertSame(1, $formula->evaluate());
159
 
160
        $formula = new calc_formula('=(2<=3)*10');
161
        $this->assertSame(10, $formula->evaluate());
162
 
163
        $formula = new calc_formula('=(2>=3)*10');
164
        $this->assertSame(0, $formula->evaluate());
165
        $formula = new calc_formula('=2<3*10');
166
        $this->assertSame(10, $formula->evaluate());
167
    }
168
    /**
169
     * Tests the min and max functions.
170
     */
11 efrain 171
    public function test__minmax_function(): void {
1 efrain 172
        $formula = new calc_formula('=min(a, b, c)', array('a'=>10, 'b'=>20, 'c'=>30));
173
        $res = $formula->evaluate();
174
        $this->assertSame(10, $res, 'minimum is: %s');
175
        $formula = new calc_formula('=max(a, b, c)', array('a'=>10, 'b'=>20, 'c'=>30));
176
        $res = $formula->evaluate();
177
        $this->assertSame(30, $res, 'maximum is: %s');
178
    }
179
 
180
    /**
181
     * Tests special chars.
182
     */
11 efrain 183
    public function test__specialchars(): void {
1 efrain 184
        $formula = new calc_formula('=gi1 + gi2 + gi11', array('gi1'=>10, 'gi2'=>20, 'gi11'=>30));
185
        $res = $formula->evaluate();
186
        $this->assertSame(60, $res, 'sum is: %s');
187
    }
188
 
189
    /**
190
     * Tests some slightly more complex expressions.
191
     */
11 efrain 192
    public function test__more_complex_expressions(): void {
1 efrain 193
        $formula = new calc_formula('=pi() + a', array('a'=>10));
194
        $res = $formula->evaluate();
195
        $this->assertSame(pi()+10, $res);
196
        $formula = new calc_formula('=pi()^a', array('a'=>10));
197
        $res = $formula->evaluate();
198
        $this->assertSame(pow(pi(), 10), $res);
199
        $formula = new calc_formula('=-8*(5/2)^2*(1-sqrt(4))-8');
200
        $res = $formula->evaluate();
201
        $this->assertSame(-8*pow((5/2), 2)*(1-sqrt(4))-8, $res);
202
    }
203
 
204
    /**
205
     * Tests some slightly more complex expressions.
206
     */
11 efrain 207
    public function test__error_handling(): void {
1 efrain 208
        $formula = new calc_formula('=pi( + a', array('a'=>10));
209
        $res = $formula->evaluate();
210
        $this->assertFalse($res);
211
        $this->assertSame(get_string('unexpectedoperator', 'mathslib', '+'), $formula->get_error());
212
 
213
        $formula = new calc_formula('=pi(');
214
        $res = $formula->evaluate();
215
        $this->assertSame($res, false);
216
        $this->assertSame(get_string('expectingaclosingbracket', 'mathslib'), $formula->get_error());
217
 
218
        $formula = new calc_formula('=pi()^');
219
        $res = $formula->evaluate();
220
        $this->assertSame($res, false);
221
        $this->assertSame(get_string('operatorlacksoperand', 'mathslib', '^'), $formula->get_error());
222
 
223
    }
224
 
11 efrain 225
    public function test_rounding_function(): void {
1 efrain 226
        // Rounding to the default number of decimal places.
227
        // The default == 0.
228
 
229
        $formula = new calc_formula('=round(2.5)');
230
        $this->assertSame(3.0, $formula->evaluate());
231
 
232
        $formula = new calc_formula('=round(1.5)');
233
        $this->assertSame(2.0, $formula->evaluate());
234
 
235
        $formula = new calc_formula('=round(-1.49)');
236
        $this->assertSame(-1.0, $formula->evaluate());
237
 
238
        $formula = new calc_formula('=round(-2.49)');
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        $this->assertSame(-2.0, $formula->evaluate());
240
 
241
        $formula = new calc_formula('=round(-1.5)');
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        $this->assertSame(-2.0, $formula->evaluate());
243
 
244
        $formula = new calc_formula('=round(-2.5)');
245
        $this->assertSame(-3.0, $formula->evaluate());
246
 
247
        $formula = new calc_formula('=ceil(2.5)');
248
        $this->assertSame(3.0, $formula->evaluate());
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250
        $formula = new calc_formula('=ceil(1.5)');
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        $this->assertSame(2.0, $formula->evaluate());
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253
        $formula = new calc_formula('=ceil(-1.49)');
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        $this->assertSame(-1.0, $formula->evaluate());
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256
        $formula = new calc_formula('=ceil(-2.49)');
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        $this->assertSame(-2.0, $formula->evaluate());
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259
        $formula = new calc_formula('=ceil(-1.5)');
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        $this->assertSame(-1.0, $formula->evaluate());
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262
        $formula = new calc_formula('=ceil(-2.5)');
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        $this->assertSame(-2.0, $formula->evaluate());
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265
        $formula = new calc_formula('=floor(2.5)');
266
        $this->assertSame(2.0, $formula->evaluate());
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268
        $formula = new calc_formula('=floor(1.5)');
269
        $this->assertSame(1.0, $formula->evaluate());
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271
        $formula = new calc_formula('=floor(-1.49)');
272
        $this->assertSame(-2.0, $formula->evaluate());
273
 
274
        $formula = new calc_formula('=floor(-2.49)');
275
        $this->assertSame(-3.0, $formula->evaluate());
276
 
277
        $formula = new calc_formula('=floor(-1.5)');
278
        $this->assertSame(-2.0, $formula->evaluate());
279
 
280
        $formula = new calc_formula('=floor(-2.5)');
281
        $this->assertSame(-3.0, $formula->evaluate());
282
 
283
        // Rounding to an explicit number of decimal places.
284
 
285
        $formula = new calc_formula('=round(2.5, 1)');
286
        $this->assertSame(2.5, $formula->evaluate());
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288
        $formula = new calc_formula('=round(2.5, 0)');
289
        $this->assertSame(3.0, $formula->evaluate());
290
 
291
        $formula = new calc_formula('=round(1.2345, 2)');
292
        $this->assertSame(1.23, $formula->evaluate());
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294
        $formula = new calc_formula('=round(123.456, -1)');
295
        $this->assertSame(120.0, $formula->evaluate());
296
    }
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    public function test_scientific_notation(): void {
1 efrain 299
        $formula = new calc_formula('=10e10');
300
        $this->assertEqualsWithDelta(1e11, $formula->evaluate(), 1e11 * 1e-15);
301
 
302
        $formula = new calc_formula('=10e-10');
303
        $this->assertEqualsWithDelta(1e-9, $formula->evaluate(), 1e11 * 1e-15);
304
 
305
        $formula = new calc_formula('=10e+10');
306
        $this->assertEqualsWithDelta(1e11, $formula->evaluate(), 1e11 * 1e-15);
307
 
308
        $formula = new calc_formula('=10e10*5');
309
        $this->assertEqualsWithDelta(5e11, $formula->evaluate(), 1e11 * 1e-15);
310
 
311
        $formula = new calc_formula('=10e10^2');
312
        $this->assertEqualsWithDelta(1e22, $formula->evaluate(), 1e22 * 1e-15);
313
    }
314
 
11 efrain 315
    public function test_rand_float(): void {
1 efrain 316
        $formula = new calc_formula('=rand_float()');
317
        $result = $formula->evaluate();
318
        $this->assertTrue(is_float($result));
319
    }
320
 
321
    /**
322
     * Tests the modulo operator.
323
     *
324
     * @covers calc_formula::evaluate
325
     * @dataProvider moduloOperatorData
326
     *
327
     * @param string $formula
328
     * @param array $values
329
     * @param int|float $expectedResult
330
     */
331
    public function shouldSupportModuloOperator($formula, $values, $expectedResult)
332
    {
333
        $formula = new calc_formula($formula);
334
        $formula->set_params($values);
335
        $this->assertEquals($expectedResult, $formula->evaluate());
336
    }
337
 
338
    /**
339
     * Data provider for shouldSupportModuloOperator
340
     *
341
     * @return array
342
     */
343
    public function moduloOperatorData() {
344
        return array(
345
            array(
346
                '=a%b', // 9%3 => 0
347
                array('a' => 9, 'b' => 3),
348
 
349
            ),
350
            array(
351
                '=a%b', // 10%3 => 1
352
                array('a' => 10, 'b' => 3),
353
                1
354
            ),
355
            array(
356
                '=10-a%(b+c*d)', // 10-10%(7-2*2) => 9
357
                array('a' => '10', 'b' => 7, 'c' => -2, 'd' => 2),
358
                9
359
            )
360
        );
361
    }
362
 
363
    /**
364
     * Tests the double minus as plus.
365
     *
366
     * @covers calc_formula::evaluate
367
     * @dataProvider doubleMinusData
368
     *
369
     * @param string $formula
370
     * @param array $values
371
     * @param int|float $expectedResult
372
     */
373
    public function shouldConsiderDoubleMinusAsPlus($formula, $values, $expectedResult)
374
    {
375
        $formula = new calc_formula($formula);
376
        $formula->set_params($values);
377
        $this->assertEquals($expectedResult, $formula->evaluate());
378
    }
379
 
380
    /**
381
     * Data provider for shouldConsiderDoubleMinusAsPlus
382
     *
383
     * @return array
384
     */
385
    public function doubleMinusData() {
386
        return array(
387
            array(
388
                '=a+b*c--d', // 1+2*3--4 => 1+6+4 => 11
389
                array(
390
                    'a' => 1,
391
                    'b' => 2,
392
                    'c' => 3,
393
                    'd' => 4
394
                ),
395
                11
396
            ),
397
            array(
398
                '=a+b*c--d', // 1+2*3---4 => 1+6-4 => 3
399
                array(
400
                    'a' => 1,
401
                    'b' => 2,
402
                    'c' => 3,
403
                    'd' => -4
404
                ),
405
                3
406
            )
407
        );
408
    }
409
}