ILIAS  release_5-3 Revision v5.3.23-19-g915713cf615
Engineering.php
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1<?php
30if (!defined('PHPEXCEL_ROOT')) {
34 define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../../');
35 require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php');
36}
37
38
40define('EULER', 2.71828182845904523536);
41
42
50class PHPExcel_Calculation_Engineering {
51
57 private static $_conversionUnits = array( 'g' => array( 'Group' => 'Mass', 'Unit Name' => 'Gram', 'AllowPrefix' => True ),
58 'sg' => array( 'Group' => 'Mass', 'Unit Name' => 'Slug', 'AllowPrefix' => False ),
59 'lbm' => array( 'Group' => 'Mass', 'Unit Name' => 'Pound mass (avoirdupois)', 'AllowPrefix' => False ),
60 'u' => array( 'Group' => 'Mass', 'Unit Name' => 'U (atomic mass unit)', 'AllowPrefix' => True ),
61 'ozm' => array( 'Group' => 'Mass', 'Unit Name' => 'Ounce mass (avoirdupois)', 'AllowPrefix' => False ),
62 'm' => array( 'Group' => 'Distance', 'Unit Name' => 'Meter', 'AllowPrefix' => True ),
63 'mi' => array( 'Group' => 'Distance', 'Unit Name' => 'Statute mile', 'AllowPrefix' => False ),
64 'Nmi' => array( 'Group' => 'Distance', 'Unit Name' => 'Nautical mile', 'AllowPrefix' => False ),
65 'in' => array( 'Group' => 'Distance', 'Unit Name' => 'Inch', 'AllowPrefix' => False ),
66 'ft' => array( 'Group' => 'Distance', 'Unit Name' => 'Foot', 'AllowPrefix' => False ),
67 'yd' => array( 'Group' => 'Distance', 'Unit Name' => 'Yard', 'AllowPrefix' => False ),
68 'ang' => array( 'Group' => 'Distance', 'Unit Name' => 'Angstrom', 'AllowPrefix' => True ),
69 'Pica' => array( 'Group' => 'Distance', 'Unit Name' => 'Pica (1/72 in)', 'AllowPrefix' => False ),
70 'yr' => array( 'Group' => 'Time', 'Unit Name' => 'Year', 'AllowPrefix' => False ),
71 'day' => array( 'Group' => 'Time', 'Unit Name' => 'Day', 'AllowPrefix' => False ),
72 'hr' => array( 'Group' => 'Time', 'Unit Name' => 'Hour', 'AllowPrefix' => False ),
73 'mn' => array( 'Group' => 'Time', 'Unit Name' => 'Minute', 'AllowPrefix' => False ),
74 'sec' => array( 'Group' => 'Time', 'Unit Name' => 'Second', 'AllowPrefix' => True ),
75 'Pa' => array( 'Group' => 'Pressure', 'Unit Name' => 'Pascal', 'AllowPrefix' => True ),
76 'p' => array( 'Group' => 'Pressure', 'Unit Name' => 'Pascal', 'AllowPrefix' => True ),
77 'atm' => array( 'Group' => 'Pressure', 'Unit Name' => 'Atmosphere', 'AllowPrefix' => True ),
78 'at' => array( 'Group' => 'Pressure', 'Unit Name' => 'Atmosphere', 'AllowPrefix' => True ),
79 'mmHg' => array( 'Group' => 'Pressure', 'Unit Name' => 'mm of Mercury', 'AllowPrefix' => True ),
80 'N' => array( 'Group' => 'Force', 'Unit Name' => 'Newton', 'AllowPrefix' => True ),
81 'dyn' => array( 'Group' => 'Force', 'Unit Name' => 'Dyne', 'AllowPrefix' => True ),
82 'dy' => array( 'Group' => 'Force', 'Unit Name' => 'Dyne', 'AllowPrefix' => True ),
83 'lbf' => array( 'Group' => 'Force', 'Unit Name' => 'Pound force', 'AllowPrefix' => False ),
84 'J' => array( 'Group' => 'Energy', 'Unit Name' => 'Joule', 'AllowPrefix' => True ),
85 'e' => array( 'Group' => 'Energy', 'Unit Name' => 'Erg', 'AllowPrefix' => True ),
86 'c' => array( 'Group' => 'Energy', 'Unit Name' => 'Thermodynamic calorie', 'AllowPrefix' => True ),
87 'cal' => array( 'Group' => 'Energy', 'Unit Name' => 'IT calorie', 'AllowPrefix' => True ),
88 'eV' => array( 'Group' => 'Energy', 'Unit Name' => 'Electron volt', 'AllowPrefix' => True ),
89 'ev' => array( 'Group' => 'Energy', 'Unit Name' => 'Electron volt', 'AllowPrefix' => True ),
90 'HPh' => array( 'Group' => 'Energy', 'Unit Name' => 'Horsepower-hour', 'AllowPrefix' => False ),
91 'hh' => array( 'Group' => 'Energy', 'Unit Name' => 'Horsepower-hour', 'AllowPrefix' => False ),
92 'Wh' => array( 'Group' => 'Energy', 'Unit Name' => 'Watt-hour', 'AllowPrefix' => True ),
93 'wh' => array( 'Group' => 'Energy', 'Unit Name' => 'Watt-hour', 'AllowPrefix' => True ),
94 'flb' => array( 'Group' => 'Energy', 'Unit Name' => 'Foot-pound', 'AllowPrefix' => False ),
95 'BTU' => array( 'Group' => 'Energy', 'Unit Name' => 'BTU', 'AllowPrefix' => False ),
96 'btu' => array( 'Group' => 'Energy', 'Unit Name' => 'BTU', 'AllowPrefix' => False ),
97 'HP' => array( 'Group' => 'Power', 'Unit Name' => 'Horsepower', 'AllowPrefix' => False ),
98 'h' => array( 'Group' => 'Power', 'Unit Name' => 'Horsepower', 'AllowPrefix' => False ),
99 'W' => array( 'Group' => 'Power', 'Unit Name' => 'Watt', 'AllowPrefix' => True ),
100 'w' => array( 'Group' => 'Power', 'Unit Name' => 'Watt', 'AllowPrefix' => True ),
101 'T' => array( 'Group' => 'Magnetism', 'Unit Name' => 'Tesla', 'AllowPrefix' => True ),
102 'ga' => array( 'Group' => 'Magnetism', 'Unit Name' => 'Gauss', 'AllowPrefix' => True ),
103 'C' => array( 'Group' => 'Temperature', 'Unit Name' => 'Celsius', 'AllowPrefix' => False ),
104 'cel' => array( 'Group' => 'Temperature', 'Unit Name' => 'Celsius', 'AllowPrefix' => False ),
105 'F' => array( 'Group' => 'Temperature', 'Unit Name' => 'Fahrenheit', 'AllowPrefix' => False ),
106 'fah' => array( 'Group' => 'Temperature', 'Unit Name' => 'Fahrenheit', 'AllowPrefix' => False ),
107 'K' => array( 'Group' => 'Temperature', 'Unit Name' => 'Kelvin', 'AllowPrefix' => False ),
108 'kel' => array( 'Group' => 'Temperature', 'Unit Name' => 'Kelvin', 'AllowPrefix' => False ),
109 'tsp' => array( 'Group' => 'Liquid', 'Unit Name' => 'Teaspoon', 'AllowPrefix' => False ),
110 'tbs' => array( 'Group' => 'Liquid', 'Unit Name' => 'Tablespoon', 'AllowPrefix' => False ),
111 'oz' => array( 'Group' => 'Liquid', 'Unit Name' => 'Fluid Ounce', 'AllowPrefix' => False ),
112 'cup' => array( 'Group' => 'Liquid', 'Unit Name' => 'Cup', 'AllowPrefix' => False ),
113 'pt' => array( 'Group' => 'Liquid', 'Unit Name' => 'U.S. Pint', 'AllowPrefix' => False ),
114 'us_pt' => array( 'Group' => 'Liquid', 'Unit Name' => 'U.S. Pint', 'AllowPrefix' => False ),
115 'uk_pt' => array( 'Group' => 'Liquid', 'Unit Name' => 'U.K. Pint', 'AllowPrefix' => False ),
116 'qt' => array( 'Group' => 'Liquid', 'Unit Name' => 'Quart', 'AllowPrefix' => False ),
117 'gal' => array( 'Group' => 'Liquid', 'Unit Name' => 'Gallon', 'AllowPrefix' => False ),
118 'l' => array( 'Group' => 'Liquid', 'Unit Name' => 'Litre', 'AllowPrefix' => True ),
119 'lt' => array( 'Group' => 'Liquid', 'Unit Name' => 'Litre', 'AllowPrefix' => True )
120 );
121
127 private static $_conversionMultipliers = array( 'Y' => array( 'multiplier' => 1E24, 'name' => 'yotta' ),
128 'Z' => array( 'multiplier' => 1E21, 'name' => 'zetta' ),
129 'E' => array( 'multiplier' => 1E18, 'name' => 'exa' ),
130 'P' => array( 'multiplier' => 1E15, 'name' => 'peta' ),
131 'T' => array( 'multiplier' => 1E12, 'name' => 'tera' ),
132 'G' => array( 'multiplier' => 1E9, 'name' => 'giga' ),
133 'M' => array( 'multiplier' => 1E6, 'name' => 'mega' ),
134 'k' => array( 'multiplier' => 1E3, 'name' => 'kilo' ),
135 'h' => array( 'multiplier' => 1E2, 'name' => 'hecto' ),
136 'e' => array( 'multiplier' => 1E1, 'name' => 'deka' ),
137 'd' => array( 'multiplier' => 1E-1, 'name' => 'deci' ),
138 'c' => array( 'multiplier' => 1E-2, 'name' => 'centi' ),
139 'm' => array( 'multiplier' => 1E-3, 'name' => 'milli' ),
140 'u' => array( 'multiplier' => 1E-6, 'name' => 'micro' ),
141 'n' => array( 'multiplier' => 1E-9, 'name' => 'nano' ),
142 'p' => array( 'multiplier' => 1E-12, 'name' => 'pico' ),
143 'f' => array( 'multiplier' => 1E-15, 'name' => 'femto' ),
144 'a' => array( 'multiplier' => 1E-18, 'name' => 'atto' ),
145 'z' => array( 'multiplier' => 1E-21, 'name' => 'zepto' ),
146 'y' => array( 'multiplier' => 1E-24, 'name' => 'yocto' )
147 );
148
154 private static $_unitConversions = array( 'Mass' => array( 'g' => array( 'g' => 1.0,
155 'sg' => 6.85220500053478E-05,
156 'lbm' => 2.20462291469134E-03,
157 'u' => 6.02217000000000E+23,
158 'ozm' => 3.52739718003627E-02
159 ),
160 'sg' => array( 'g' => 1.45938424189287E+04,
161 'sg' => 1.0,
162 'lbm' => 3.21739194101647E+01,
163 'u' => 8.78866000000000E+27,
164 'ozm' => 5.14782785944229E+02
165 ),
166 'lbm' => array( 'g' => 4.5359230974881148E+02,
167 'sg' => 3.10810749306493E-02,
168 'lbm' => 1.0,
169 'u' => 2.73161000000000E+26,
170 'ozm' => 1.60000023429410E+01
171 ),
172 'u' => array( 'g' => 1.66053100460465E-24,
173 'sg' => 1.13782988532950E-28,
174 'lbm' => 3.66084470330684E-27,
175 'u' => 1.0,
176 'ozm' => 5.85735238300524E-26
177 ),
178 'ozm' => array( 'g' => 2.83495152079732E+01,
179 'sg' => 1.94256689870811E-03,
180 'lbm' => 6.24999908478882E-02,
181 'u' => 1.70725600000000E+25,
182 'ozm' => 1.0
183 )
184 ),
185 'Distance' => array( 'm' => array( 'm' => 1.0,
186 'mi' => 6.21371192237334E-04,
187 'Nmi' => 5.39956803455724E-04,
188 'in' => 3.93700787401575E+01,
189 'ft' => 3.28083989501312E+00,
190 'yd' => 1.09361329797891E+00,
191 'ang' => 1.00000000000000E+10,
192 'Pica' => 2.83464566929116E+03
193 ),
194 'mi' => array( 'm' => 1.60934400000000E+03,
195 'mi' => 1.0,
196 'Nmi' => 8.68976241900648E-01,
197 'in' => 6.33600000000000E+04,
198 'ft' => 5.28000000000000E+03,
199 'yd' => 1.76000000000000E+03,
200 'ang' => 1.60934400000000E+13,
201 'Pica' => 4.56191999999971E+06
202 ),
203 'Nmi' => array( 'm' => 1.85200000000000E+03,
204 'mi' => 1.15077944802354E+00,
205 'Nmi' => 1.0,
206 'in' => 7.29133858267717E+04,
207 'ft' => 6.07611548556430E+03,
208 'yd' => 2.02537182785694E+03,
209 'ang' => 1.85200000000000E+13,
210 'Pica' => 5.24976377952723E+06
211 ),
212 'in' => array( 'm' => 2.54000000000000E-02,
213 'mi' => 1.57828282828283E-05,
214 'Nmi' => 1.37149028077754E-05,
215 'in' => 1.0,
216 'ft' => 8.33333333333333E-02,
217 'yd' => 2.77777777686643E-02,
218 'ang' => 2.54000000000000E+08,
219 'Pica' => 7.19999999999955E+01
220 ),
221 'ft' => array( 'm' => 3.04800000000000E-01,
222 'mi' => 1.89393939393939E-04,
223 'Nmi' => 1.64578833693305E-04,
224 'in' => 1.20000000000000E+01,
225 'ft' => 1.0,
226 'yd' => 3.33333333223972E-01,
227 'ang' => 3.04800000000000E+09,
228 'Pica' => 8.63999999999946E+02
229 ),
230 'yd' => array( 'm' => 9.14400000300000E-01,
231 'mi' => 5.68181818368230E-04,
232 'Nmi' => 4.93736501241901E-04,
233 'in' => 3.60000000118110E+01,
234 'ft' => 3.00000000000000E+00,
235 'yd' => 1.0,
236 'ang' => 9.14400000300000E+09,
237 'Pica' => 2.59200000085023E+03
238 ),
239 'ang' => array( 'm' => 1.00000000000000E-10,
240 'mi' => 6.21371192237334E-14,
241 'Nmi' => 5.39956803455724E-14,
242 'in' => 3.93700787401575E-09,
243 'ft' => 3.28083989501312E-10,
244 'yd' => 1.09361329797891E-10,
245 'ang' => 1.0,
246 'Pica' => 2.83464566929116E-07
247 ),
248 'Pica' => array( 'm' => 3.52777777777800E-04,
249 'mi' => 2.19205948372629E-07,
250 'Nmi' => 1.90484761219114E-07,
251 'in' => 1.38888888888898E-02,
252 'ft' => 1.15740740740748E-03,
253 'yd' => 3.85802469009251E-04,
254 'ang' => 3.52777777777800E+06,
255 'Pica' => 1.0
256 )
257 ),
258 'Time' => array( 'yr' => array( 'yr' => 1.0,
259 'day' => 365.25,
260 'hr' => 8766.0,
261 'mn' => 525960.0,
262 'sec' => 31557600.0
263 ),
264 'day' => array( 'yr' => 2.73785078713210E-03,
265 'day' => 1.0,
266 'hr' => 24.0,
267 'mn' => 1440.0,
268 'sec' => 86400.0
269 ),
270 'hr' => array( 'yr' => 1.14077116130504E-04,
271 'day' => 4.16666666666667E-02,
272 'hr' => 1.0,
273 'mn' => 60.0,
274 'sec' => 3600.0
275 ),
276 'mn' => array( 'yr' => 1.90128526884174E-06,
277 'day' => 6.94444444444444E-04,
278 'hr' => 1.66666666666667E-02,
279 'mn' => 1.0,
280 'sec' => 60.0
281 ),
282 'sec' => array( 'yr' => 3.16880878140289E-08,
283 'day' => 1.15740740740741E-05,
284 'hr' => 2.77777777777778E-04,
285 'mn' => 1.66666666666667E-02,
286 'sec' => 1.0
287 )
288 ),
289 'Pressure' => array( 'Pa' => array( 'Pa' => 1.0,
290 'p' => 1.0,
291 'atm' => 9.86923299998193E-06,
292 'at' => 9.86923299998193E-06,
293 'mmHg' => 7.50061707998627E-03
294 ),
295 'p' => array( 'Pa' => 1.0,
296 'p' => 1.0,
297 'atm' => 9.86923299998193E-06,
298 'at' => 9.86923299998193E-06,
299 'mmHg' => 7.50061707998627E-03
300 ),
301 'atm' => array( 'Pa' => 1.01324996583000E+05,
302 'p' => 1.01324996583000E+05,
303 'atm' => 1.0,
304 'at' => 1.0,
305 'mmHg' => 760.0
306 ),
307 'at' => array( 'Pa' => 1.01324996583000E+05,
308 'p' => 1.01324996583000E+05,
309 'atm' => 1.0,
310 'at' => 1.0,
311 'mmHg' => 760.0
312 ),
313 'mmHg' => array( 'Pa' => 1.33322363925000E+02,
314 'p' => 1.33322363925000E+02,
315 'atm' => 1.31578947368421E-03,
316 'at' => 1.31578947368421E-03,
317 'mmHg' => 1.0
318 )
319 ),
320 'Force' => array( 'N' => array( 'N' => 1.0,
321 'dyn' => 1.0E+5,
322 'dy' => 1.0E+5,
323 'lbf' => 2.24808923655339E-01
324 ),
325 'dyn' => array( 'N' => 1.0E-5,
326 'dyn' => 1.0,
327 'dy' => 1.0,
328 'lbf' => 2.24808923655339E-06
329 ),
330 'dy' => array( 'N' => 1.0E-5,
331 'dyn' => 1.0,
332 'dy' => 1.0,
333 'lbf' => 2.24808923655339E-06
334 ),
335 'lbf' => array( 'N' => 4.448222,
336 'dyn' => 4.448222E+5,
337 'dy' => 4.448222E+5,
338 'lbf' => 1.0
339 )
340 ),
341 'Energy' => array( 'J' => array( 'J' => 1.0,
342 'e' => 9.99999519343231E+06,
343 'c' => 2.39006249473467E-01,
344 'cal' => 2.38846190642017E-01,
345 'eV' => 6.24145700000000E+18,
346 'ev' => 6.24145700000000E+18,
347 'HPh' => 3.72506430801000E-07,
348 'hh' => 3.72506430801000E-07,
349 'Wh' => 2.77777916238711E-04,
350 'wh' => 2.77777916238711E-04,
351 'flb' => 2.37304222192651E+01,
352 'BTU' => 9.47815067349015E-04,
353 'btu' => 9.47815067349015E-04
354 ),
355 'e' => array( 'J' => 1.00000048065700E-07,
356 'e' => 1.0,
357 'c' => 2.39006364353494E-08,
358 'cal' => 2.38846305445111E-08,
359 'eV' => 6.24146000000000E+11,
360 'ev' => 6.24146000000000E+11,
361 'HPh' => 3.72506609848824E-14,
362 'hh' => 3.72506609848824E-14,
363 'Wh' => 2.77778049754611E-11,
364 'wh' => 2.77778049754611E-11,
365 'flb' => 2.37304336254586E-06,
366 'BTU' => 9.47815522922962E-11,
367 'btu' => 9.47815522922962E-11
368 ),
369 'c' => array( 'J' => 4.18399101363672E+00,
370 'e' => 4.18398900257312E+07,
371 'c' => 1.0,
372 'cal' => 9.99330315287563E-01,
373 'eV' => 2.61142000000000E+19,
374 'ev' => 2.61142000000000E+19,
375 'HPh' => 1.55856355899327E-06,
376 'hh' => 1.55856355899327E-06,
377 'Wh' => 1.16222030532950E-03,
378 'wh' => 1.16222030532950E-03,
379 'flb' => 9.92878733152102E+01,
380 'BTU' => 3.96564972437776E-03,
381 'btu' => 3.96564972437776E-03
382 ),
383 'cal' => array( 'J' => 4.18679484613929E+00,
384 'e' => 4.18679283372801E+07,
385 'c' => 1.00067013349059E+00,
386 'cal' => 1.0,
387 'eV' => 2.61317000000000E+19,
388 'ev' => 2.61317000000000E+19,
389 'HPh' => 1.55960800463137E-06,
390 'hh' => 1.55960800463137E-06,
391 'Wh' => 1.16299914807955E-03,
392 'wh' => 1.16299914807955E-03,
393 'flb' => 9.93544094443283E+01,
394 'BTU' => 3.96830723907002E-03,
395 'btu' => 3.96830723907002E-03
396 ),
397 'eV' => array( 'J' => 1.60219000146921E-19,
398 'e' => 1.60218923136574E-12,
399 'c' => 3.82933423195043E-20,
400 'cal' => 3.82676978535648E-20,
401 'eV' => 1.0,
402 'ev' => 1.0,
403 'HPh' => 5.96826078912344E-26,
404 'hh' => 5.96826078912344E-26,
405 'Wh' => 4.45053000026614E-23,
406 'wh' => 4.45053000026614E-23,
407 'flb' => 3.80206452103492E-18,
408 'BTU' => 1.51857982414846E-22,
409 'btu' => 1.51857982414846E-22
410 ),
411 'ev' => array( 'J' => 1.60219000146921E-19,
412 'e' => 1.60218923136574E-12,
413 'c' => 3.82933423195043E-20,
414 'cal' => 3.82676978535648E-20,
415 'eV' => 1.0,
416 'ev' => 1.0,
417 'HPh' => 5.96826078912344E-26,
418 'hh' => 5.96826078912344E-26,
419 'Wh' => 4.45053000026614E-23,
420 'wh' => 4.45053000026614E-23,
421 'flb' => 3.80206452103492E-18,
422 'BTU' => 1.51857982414846E-22,
423 'btu' => 1.51857982414846E-22
424 ),
425 'HPh' => array( 'J' => 2.68451741316170E+06,
426 'e' => 2.68451612283024E+13,
427 'c' => 6.41616438565991E+05,
428 'cal' => 6.41186757845835E+05,
429 'eV' => 1.67553000000000E+25,
430 'ev' => 1.67553000000000E+25,
431 'HPh' => 1.0,
432 'hh' => 1.0,
433 'Wh' => 7.45699653134593E+02,
434 'wh' => 7.45699653134593E+02,
435 'flb' => 6.37047316692964E+07,
436 'BTU' => 2.54442605275546E+03,
437 'btu' => 2.54442605275546E+03
438 ),
439 'hh' => array( 'J' => 2.68451741316170E+06,
440 'e' => 2.68451612283024E+13,
441 'c' => 6.41616438565991E+05,
442 'cal' => 6.41186757845835E+05,
443 'eV' => 1.67553000000000E+25,
444 'ev' => 1.67553000000000E+25,
445 'HPh' => 1.0,
446 'hh' => 1.0,
447 'Wh' => 7.45699653134593E+02,
448 'wh' => 7.45699653134593E+02,
449 'flb' => 6.37047316692964E+07,
450 'BTU' => 2.54442605275546E+03,
451 'btu' => 2.54442605275546E+03
452 ),
453 'Wh' => array( 'J' => 3.59999820554720E+03,
454 'e' => 3.59999647518369E+10,
455 'c' => 8.60422069219046E+02,
456 'cal' => 8.59845857713046E+02,
457 'eV' => 2.24692340000000E+22,
458 'ev' => 2.24692340000000E+22,
459 'HPh' => 1.34102248243839E-03,
460 'hh' => 1.34102248243839E-03,
461 'Wh' => 1.0,
462 'wh' => 1.0,
463 'flb' => 8.54294774062316E+04,
464 'BTU' => 3.41213254164705E+00,
465 'btu' => 3.41213254164705E+00
466 ),
467 'wh' => array( 'J' => 3.59999820554720E+03,
468 'e' => 3.59999647518369E+10,
469 'c' => 8.60422069219046E+02,
470 'cal' => 8.59845857713046E+02,
471 'eV' => 2.24692340000000E+22,
472 'ev' => 2.24692340000000E+22,
473 'HPh' => 1.34102248243839E-03,
474 'hh' => 1.34102248243839E-03,
475 'Wh' => 1.0,
476 'wh' => 1.0,
477 'flb' => 8.54294774062316E+04,
478 'BTU' => 3.41213254164705E+00,
479 'btu' => 3.41213254164705E+00
480 ),
481 'flb' => array( 'J' => 4.21400003236424E-02,
482 'e' => 4.21399800687660E+05,
483 'c' => 1.00717234301644E-02,
484 'cal' => 1.00649785509554E-02,
485 'eV' => 2.63015000000000E+17,
486 'ev' => 2.63015000000000E+17,
487 'HPh' => 1.56974211145130E-08,
488 'hh' => 1.56974211145130E-08,
489 'Wh' => 1.17055614802000E-05,
490 'wh' => 1.17055614802000E-05,
491 'flb' => 1.0,
492 'BTU' => 3.99409272448406E-05,
493 'btu' => 3.99409272448406E-05
494 ),
495 'BTU' => array( 'J' => 1.05505813786749E+03,
496 'e' => 1.05505763074665E+10,
497 'c' => 2.52165488508168E+02,
498 'cal' => 2.51996617135510E+02,
499 'eV' => 6.58510000000000E+21,
500 'ev' => 6.58510000000000E+21,
501 'HPh' => 3.93015941224568E-04,
502 'hh' => 3.93015941224568E-04,
503 'Wh' => 2.93071851047526E-01,
504 'wh' => 2.93071851047526E-01,
505 'flb' => 2.50369750774671E+04,
506 'BTU' => 1.0,
507 'btu' => 1.0,
508 ),
509 'btu' => array( 'J' => 1.05505813786749E+03,
510 'e' => 1.05505763074665E+10,
511 'c' => 2.52165488508168E+02,
512 'cal' => 2.51996617135510E+02,
513 'eV' => 6.58510000000000E+21,
514 'ev' => 6.58510000000000E+21,
515 'HPh' => 3.93015941224568E-04,
516 'hh' => 3.93015941224568E-04,
517 'Wh' => 2.93071851047526E-01,
518 'wh' => 2.93071851047526E-01,
519 'flb' => 2.50369750774671E+04,
520 'BTU' => 1.0,
521 'btu' => 1.0,
522 )
523 ),
524 'Power' => array( 'HP' => array( 'HP' => 1.0,
525 'h' => 1.0,
526 'W' => 7.45701000000000E+02,
527 'w' => 7.45701000000000E+02
528 ),
529 'h' => array( 'HP' => 1.0,
530 'h' => 1.0,
531 'W' => 7.45701000000000E+02,
532 'w' => 7.45701000000000E+02
533 ),
534 'W' => array( 'HP' => 1.34102006031908E-03,
535 'h' => 1.34102006031908E-03,
536 'W' => 1.0,
537 'w' => 1.0
538 ),
539 'w' => array( 'HP' => 1.34102006031908E-03,
540 'h' => 1.34102006031908E-03,
541 'W' => 1.0,
542 'w' => 1.0
543 )
544 ),
545 'Magnetism' => array( 'T' => array( 'T' => 1.0,
546 'ga' => 10000.0
547 ),
548 'ga' => array( 'T' => 0.0001,
549 'ga' => 1.0
550 )
551 ),
552 'Liquid' => array( 'tsp' => array( 'tsp' => 1.0,
553 'tbs' => 3.33333333333333E-01,
554 'oz' => 1.66666666666667E-01,
555 'cup' => 2.08333333333333E-02,
556 'pt' => 1.04166666666667E-02,
557 'us_pt' => 1.04166666666667E-02,
558 'uk_pt' => 8.67558516821960E-03,
559 'qt' => 5.20833333333333E-03,
560 'gal' => 1.30208333333333E-03,
561 'l' => 4.92999408400710E-03,
562 'lt' => 4.92999408400710E-03
563 ),
564 'tbs' => array( 'tsp' => 3.00000000000000E+00,
565 'tbs' => 1.0,
566 'oz' => 5.00000000000000E-01,
567 'cup' => 6.25000000000000E-02,
568 'pt' => 3.12500000000000E-02,
569 'us_pt' => 3.12500000000000E-02,
570 'uk_pt' => 2.60267555046588E-02,
571 'qt' => 1.56250000000000E-02,
572 'gal' => 3.90625000000000E-03,
573 'l' => 1.47899822520213E-02,
574 'lt' => 1.47899822520213E-02
575 ),
576 'oz' => array( 'tsp' => 6.00000000000000E+00,
577 'tbs' => 2.00000000000000E+00,
578 'oz' => 1.0,
579 'cup' => 1.25000000000000E-01,
580 'pt' => 6.25000000000000E-02,
581 'us_pt' => 6.25000000000000E-02,
582 'uk_pt' => 5.20535110093176E-02,
583 'qt' => 3.12500000000000E-02,
584 'gal' => 7.81250000000000E-03,
585 'l' => 2.95799645040426E-02,
586 'lt' => 2.95799645040426E-02
587 ),
588 'cup' => array( 'tsp' => 4.80000000000000E+01,
589 'tbs' => 1.60000000000000E+01,
590 'oz' => 8.00000000000000E+00,
591 'cup' => 1.0,
592 'pt' => 5.00000000000000E-01,
593 'us_pt' => 5.00000000000000E-01,
594 'uk_pt' => 4.16428088074541E-01,
595 'qt' => 2.50000000000000E-01,
596 'gal' => 6.25000000000000E-02,
597 'l' => 2.36639716032341E-01,
598 'lt' => 2.36639716032341E-01
599 ),
600 'pt' => array( 'tsp' => 9.60000000000000E+01,
601 'tbs' => 3.20000000000000E+01,
602 'oz' => 1.60000000000000E+01,
603 'cup' => 2.00000000000000E+00,
604 'pt' => 1.0,
605 'us_pt' => 1.0,
606 'uk_pt' => 8.32856176149081E-01,
607 'qt' => 5.00000000000000E-01,
608 'gal' => 1.25000000000000E-01,
609 'l' => 4.73279432064682E-01,
610 'lt' => 4.73279432064682E-01
611 ),
612 'us_pt' => array( 'tsp' => 9.60000000000000E+01,
613 'tbs' => 3.20000000000000E+01,
614 'oz' => 1.60000000000000E+01,
615 'cup' => 2.00000000000000E+00,
616 'pt' => 1.0,
617 'us_pt' => 1.0,
618 'uk_pt' => 8.32856176149081E-01,
619 'qt' => 5.00000000000000E-01,
620 'gal' => 1.25000000000000E-01,
621 'l' => 4.73279432064682E-01,
622 'lt' => 4.73279432064682E-01
623 ),
624 'uk_pt' => array( 'tsp' => 1.15266000000000E+02,
625 'tbs' => 3.84220000000000E+01,
626 'oz' => 1.92110000000000E+01,
627 'cup' => 2.40137500000000E+00,
628 'pt' => 1.20068750000000E+00,
629 'us_pt' => 1.20068750000000E+00,
630 'uk_pt' => 1.0,
631 'qt' => 6.00343750000000E-01,
632 'gal' => 1.50085937500000E-01,
633 'l' => 5.68260698087162E-01,
634 'lt' => 5.68260698087162E-01
635 ),
636 'qt' => array( 'tsp' => 1.92000000000000E+02,
637 'tbs' => 6.40000000000000E+01,
638 'oz' => 3.20000000000000E+01,
639 'cup' => 4.00000000000000E+00,
640 'pt' => 2.00000000000000E+00,
641 'us_pt' => 2.00000000000000E+00,
642 'uk_pt' => 1.66571235229816E+00,
643 'qt' => 1.0,
644 'gal' => 2.50000000000000E-01,
645 'l' => 9.46558864129363E-01,
646 'lt' => 9.46558864129363E-01
647 ),
648 'gal' => array( 'tsp' => 7.68000000000000E+02,
649 'tbs' => 2.56000000000000E+02,
650 'oz' => 1.28000000000000E+02,
651 'cup' => 1.60000000000000E+01,
652 'pt' => 8.00000000000000E+00,
653 'us_pt' => 8.00000000000000E+00,
654 'uk_pt' => 6.66284940919265E+00,
655 'qt' => 4.00000000000000E+00,
656 'gal' => 1.0,
657 'l' => 3.78623545651745E+00,
658 'lt' => 3.78623545651745E+00
659 ),
660 'l' => array( 'tsp' => 2.02840000000000E+02,
661 'tbs' => 6.76133333333333E+01,
662 'oz' => 3.38066666666667E+01,
663 'cup' => 4.22583333333333E+00,
664 'pt' => 2.11291666666667E+00,
665 'us_pt' => 2.11291666666667E+00,
666 'uk_pt' => 1.75975569552166E+00,
667 'qt' => 1.05645833333333E+00,
668 'gal' => 2.64114583333333E-01,
669 'l' => 1.0,
670 'lt' => 1.0
671 ),
672 'lt' => array( 'tsp' => 2.02840000000000E+02,
673 'tbs' => 6.76133333333333E+01,
674 'oz' => 3.38066666666667E+01,
675 'cup' => 4.22583333333333E+00,
676 'pt' => 2.11291666666667E+00,
677 'us_pt' => 2.11291666666667E+00,
678 'uk_pt' => 1.75975569552166E+00,
679 'qt' => 1.05645833333333E+00,
680 'gal' => 2.64114583333333E-01,
681 'l' => 1.0,
682 'lt' => 1.0
683 )
684 )
685 );
686
687
696 public static function _parseComplex($complexNumber) {
697 $workString = (string) $complexNumber;
698
699 $realNumber = $imaginary = 0;
700 // Extract the suffix, if there is one
701 $suffix = substr($workString,-1);
702 if (!is_numeric($suffix)) {
703 $workString = substr($workString,0,-1);
704 } else {
705 $suffix = '';
706 }
707
708 // Split the input into its Real and Imaginary components
709 $leadingSign = 0;
710 if (strlen($workString) > 0) {
711 $leadingSign = (($workString{0} == '+') || ($workString{0} == '-')) ? 1 : 0;
712 }
713 $power = '';
714 $realNumber = strtok($workString, '+-');
715 if (strtoupper(substr($realNumber,-1)) == 'E') {
716 $power = strtok('+-');
717 ++$leadingSign;
718 }
719
720 $realNumber = substr($workString,0,strlen($realNumber)+strlen($power)+$leadingSign);
721
722 if ($suffix != '') {
723 $imaginary = substr($workString,strlen($realNumber));
724
725 if (($imaginary == '') && (($realNumber == '') || ($realNumber == '+') || ($realNumber == '-'))) {
726 $imaginary = $realNumber.'1';
727 $realNumber = '0';
728 } else if ($imaginary == '') {
729 $imaginary = $realNumber;
730 $realNumber = '0';
731 } elseif (($imaginary == '+') || ($imaginary == '-')) {
732 $imaginary .= '1';
733 }
734 }
735
736 return array( 'real' => $realNumber,
737 'imaginary' => $imaginary,
738 'suffix' => $suffix
739 );
740 } // function _parseComplex()
741
742
749 private static function _cleanComplex($complexNumber) {
750 if ($complexNumber{0} == '+') $complexNumber = substr($complexNumber,1);
751 if ($complexNumber{0} == '0') $complexNumber = substr($complexNumber,1);
752 if ($complexNumber{0} == '.') $complexNumber = '0'.$complexNumber;
753 if ($complexNumber{0} == '+') $complexNumber = substr($complexNumber,1);
754 return $complexNumber;
755 }
756
764 private static function _nbrConversionFormat($xVal, $places) {
765 if (!is_null($places)) {
766 if (strlen($xVal) <= $places) {
767 return substr(str_pad($xVal, $places, '0', STR_PAD_LEFT), -10);
768 } else {
769 return PHPExcel_Calculation_Functions::NaN();
770 }
771 }
772
773 return substr($xVal, -10);
774 } // function _nbrConversionFormat()
775
796 public static function BESSELI($x, $ord) {
797 $x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
798 $ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
799
800 if ((is_numeric($x)) && (is_numeric($ord))) {
801 $ord = floor($ord);
802 if ($ord < 0) {
803 return PHPExcel_Calculation_Functions::NaN();
804 }
805
806 if (abs($x) <= 30) {
807 $fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord);
808 $ordK = 1;
809 $fSqrX = ($x * $x) / 4;
810 do {
811 $fTerm *= $fSqrX;
812 $fTerm /= ($ordK * ($ordK + $ord));
813 $fResult += $fTerm;
814 } while ((abs($fTerm) > 1e-12) && (++$ordK < 100));
815 } else {
816 $f_2_PI = 2 * M_PI;
817
818 $fXAbs = abs($x);
819 $fResult = exp($fXAbs) / sqrt($f_2_PI * $fXAbs);
820 if (($ord & 1) && ($x < 0)) {
821 $fResult = -$fResult;
822 }
823 }
824 return (is_nan($fResult)) ? PHPExcel_Calculation_Functions::NaN() : $fResult;
825 }
826 return PHPExcel_Calculation_Functions::VALUE();
827 } // function BESSELI()
828
829
848 public static function BESSELJ($x, $ord) {
849 $x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
850 $ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
851
852 if ((is_numeric($x)) && (is_numeric($ord))) {
853 $ord = floor($ord);
854 if ($ord < 0) {
855 return PHPExcel_Calculation_Functions::NaN();
856 }
857
858 $fResult = 0;
859 if (abs($x) <= 30) {
860 $fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord);
861 $ordK = 1;
862 $fSqrX = ($x * $x) / -4;
863 do {
864 $fTerm *= $fSqrX;
865 $fTerm /= ($ordK * ($ordK + $ord));
866 $fResult += $fTerm;
867 } while ((abs($fTerm) > 1e-12) && (++$ordK < 100));
868 } else {
869 $f_PI_DIV_2 = M_PI / 2;
870 $f_PI_DIV_4 = M_PI / 4;
871
872 $fXAbs = abs($x);
873 $fResult = sqrt(M_2DIVPI / $fXAbs) * cos($fXAbs - $ord * $f_PI_DIV_2 - $f_PI_DIV_4);
874 if (($ord & 1) && ($x < 0)) {
875 $fResult = -$fResult;
876 }
877 }
878 return (is_nan($fResult)) ? PHPExcel_Calculation_Functions::NaN() : $fResult;
879 }
880 return PHPExcel_Calculation_Functions::VALUE();
881 } // function BESSELJ()
882
883
884 private static function _Besselk0($fNum) {
885 if ($fNum <= 2) {
886 $fNum2 = $fNum * 0.5;
887 $y = ($fNum2 * $fNum2);
888 $fRet = -log($fNum2) * self::BESSELI($fNum, 0) +
889 (-0.57721566 + $y * (0.42278420 + $y * (0.23069756 + $y * (0.3488590e-1 + $y * (0.262698e-2 + $y *
890 (0.10750e-3 + $y * 0.74e-5))))));
891 } else {
892 $y = 2 / $fNum;
893 $fRet = exp(-$fNum) / sqrt($fNum) *
894 (1.25331414 + $y * (-0.7832358e-1 + $y * (0.2189568e-1 + $y * (-0.1062446e-1 + $y *
895 (0.587872e-2 + $y * (-0.251540e-2 + $y * 0.53208e-3))))));
896 }
897 return $fRet;
898 } // function _Besselk0()
899
900
901 private static function _Besselk1($fNum) {
902 if ($fNum <= 2) {
903 $fNum2 = $fNum * 0.5;
904 $y = ($fNum2 * $fNum2);
905 $fRet = log($fNum2) * self::BESSELI($fNum, 1) +
906 (1 + $y * (0.15443144 + $y * (-0.67278579 + $y * (-0.18156897 + $y * (-0.1919402e-1 + $y *
907 (-0.110404e-2 + $y * (-0.4686e-4))))))) / $fNum;
908 } else {
909 $y = 2 / $fNum;
910 $fRet = exp(-$fNum) / sqrt($fNum) *
911 (1.25331414 + $y * (0.23498619 + $y * (-0.3655620e-1 + $y * (0.1504268e-1 + $y * (-0.780353e-2 + $y *
912 (0.325614e-2 + $y * (-0.68245e-3)))))));
913 }
914 return $fRet;
915 } // function _Besselk1()
916
917
937 public static function BESSELK($x, $ord) {
938 $x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
939 $ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
940
941 if ((is_numeric($x)) && (is_numeric($ord))) {
942 if (($ord < 0) || ($x == 0.0)) {
943 return PHPExcel_Calculation_Functions::NaN();
944 }
945
946 switch(floor($ord)) {
947 case 0 : return self::_Besselk0($x);
948 break;
949 case 1 : return self::_Besselk1($x);
950 break;
951 default : $fTox = 2 / $x;
952 $fBkm = self::_Besselk0($x);
953 $fBk = self::_Besselk1($x);
954 for ($n = 1; $n < $ord; ++$n) {
955 $fBkp = $fBkm + $n * $fTox * $fBk;
956 $fBkm = $fBk;
957 $fBk = $fBkp;
958 }
959 }
960 return (is_nan($fBk)) ? PHPExcel_Calculation_Functions::NaN() : $fBk;
961 }
962 return PHPExcel_Calculation_Functions::VALUE();
963 } // function BESSELK()
964
965
966 private static function _Bessely0($fNum) {
967 if ($fNum < 8.0) {
968 $y = ($fNum * $fNum);
969 $f1 = -2957821389.0 + $y * (7062834065.0 + $y * (-512359803.6 + $y * (10879881.29 + $y * (-86327.92757 + $y * 228.4622733))));
970 $f2 = 40076544269.0 + $y * (745249964.8 + $y * (7189466.438 + $y * (47447.26470 + $y * (226.1030244 + $y))));
971 $fRet = $f1 / $f2 + 0.636619772 * self::BESSELJ($fNum, 0) * log($fNum);
972 } else {
973 $z = 8.0 / $fNum;
974 $y = ($z * $z);
975 $xx = $fNum - 0.785398164;
976 $f1 = 1 + $y * (-0.1098628627e-2 + $y * (0.2734510407e-4 + $y * (-0.2073370639e-5 + $y * 0.2093887211e-6)));
977 $f2 = -0.1562499995e-1 + $y * (0.1430488765e-3 + $y * (-0.6911147651e-5 + $y * (0.7621095161e-6 + $y * (-0.934945152e-7))));
978 $fRet = sqrt(0.636619772 / $fNum) * (sin($xx) * $f1 + $z * cos($xx) * $f2);
979 }
980 return $fRet;
981 } // function _Bessely0()
982
983
984 private static function _Bessely1($fNum) {
985 if ($fNum < 8.0) {
986 $y = ($fNum * $fNum);
987 $f1 = $fNum * (-0.4900604943e13 + $y * (0.1275274390e13 + $y * (-0.5153438139e11 + $y * (0.7349264551e9 + $y *
988 (-0.4237922726e7 + $y * 0.8511937935e4)))));
989 $f2 = 0.2499580570e14 + $y * (0.4244419664e12 + $y * (0.3733650367e10 + $y * (0.2245904002e8 + $y *
990 (0.1020426050e6 + $y * (0.3549632885e3 + $y)))));
991 $fRet = $f1 / $f2 + 0.636619772 * ( self::BESSELJ($fNum, 1) * log($fNum) - 1 / $fNum);
992 } else {
993 $fRet = sqrt(0.636619772 / $fNum) * sin($fNum - 2.356194491);
994 }
995 return $fRet;
996 } // function _Bessely1()
997
998
1017 public static function BESSELY($x, $ord) {
1018 $x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
1019 $ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
1020
1021 if ((is_numeric($x)) && (is_numeric($ord))) {
1022 if (($ord < 0) || ($x == 0.0)) {
1023 return PHPExcel_Calculation_Functions::NaN();
1024 }
1025
1026 switch(floor($ord)) {
1027 case 0 : return self::_Bessely0($x);
1028 break;
1029 case 1 : return self::_Bessely1($x);
1030 break;
1031 default: $fTox = 2 / $x;
1032 $fBym = self::_Bessely0($x);
1033 $fBy = self::_Bessely1($x);
1034 for ($n = 1; $n < $ord; ++$n) {
1035 $fByp = $n * $fTox * $fBy - $fBym;
1036 $fBym = $fBy;
1037 $fBy = $fByp;
1038 }
1039 }
1040 return (is_nan($fBy)) ? PHPExcel_Calculation_Functions::NaN() : $fBy;
1041 }
1042 return PHPExcel_Calculation_Functions::VALUE();
1043 } // function BESSELY()
1044
1045
1064 public static function BINTODEC($x) {
1065 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1066
1067 if (is_bool($x)) {
1068 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
1069 $x = (int) $x;
1070 } else {
1071 return PHPExcel_Calculation_Functions::VALUE();
1072 }
1073 }
1074 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
1075 $x = floor($x);
1076 }
1077 $x = (string) $x;
1078 if (strlen($x) > preg_match_all('/[01]/',$x,$out)) {
1079 return PHPExcel_Calculation_Functions::NaN();
1080 }
1081 if (strlen($x) > 10) {
1082 return PHPExcel_Calculation_Functions::NaN();
1083 } elseif (strlen($x) == 10) {
1084 // Two's Complement
1085 $x = substr($x,-9);
1086 return '-'.(512-bindec($x));
1087 }
1088 return bindec($x);
1089 } // function BINTODEC()
1090
1091
1116 public static function BINTOHEX($x, $places=NULL) {
1117 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1118 $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
1119
1120 if (is_bool($x)) {
1121 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
1122 $x = (int) $x;
1123 } else {
1124 return PHPExcel_Calculation_Functions::VALUE();
1125 }
1126 }
1127 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
1128 $x = floor($x);
1129 }
1130 $x = (string) $x;
1131 if (strlen($x) > preg_match_all('/[01]/',$x,$out)) {
1132 return PHPExcel_Calculation_Functions::NaN();
1133 }
1134 if (strlen($x) > 10) {
1135 return PHPExcel_Calculation_Functions::NaN();
1136 } elseif (strlen($x) == 10) {
1137 // Two's Complement
1138 return str_repeat('F',8).substr(strtoupper(dechex(bindec(substr($x,-9)))),-2);
1139 }
1140 $hexVal = (string) strtoupper(dechex(bindec($x)));
1141
1142 return self::_nbrConversionFormat($hexVal,$places);
1143 } // function BINTOHEX()
1144
1145
1170 public static function BINTOOCT($x, $places=NULL) {
1171 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1172 $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
1173
1174 if (is_bool($x)) {
1175 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
1176 $x = (int) $x;
1177 } else {
1178 return PHPExcel_Calculation_Functions::VALUE();
1179 }
1180 }
1181 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
1182 $x = floor($x);
1183 }
1184 $x = (string) $x;
1185 if (strlen($x) > preg_match_all('/[01]/',$x,$out)) {
1186 return PHPExcel_Calculation_Functions::NaN();
1187 }
1188 if (strlen($x) > 10) {
1189 return PHPExcel_Calculation_Functions::NaN();
1190 } elseif (strlen($x) == 10) {
1191 // Two's Complement
1192 return str_repeat('7',7).substr(strtoupper(decoct(bindec(substr($x,-9)))),-3);
1193 }
1194 $octVal = (string) decoct(bindec($x));
1195
1196 return self::_nbrConversionFormat($octVal,$places);
1197 } // function BINTOOCT()
1198
1199
1228 public static function DECTOBIN($x, $places=NULL) {
1229 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1230 $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
1231
1232 if (is_bool($x)) {
1233 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
1234 $x = (int) $x;
1235 } else {
1236 return PHPExcel_Calculation_Functions::VALUE();
1237 }
1238 }
1239 $x = (string) $x;
1240 if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) {
1241 return PHPExcel_Calculation_Functions::VALUE();
1242 }
1243 $x = (string) floor($x);
1244 $r = decbin($x);
1245 if (strlen($r) == 32) {
1246 // Two's Complement
1247 $r = substr($r,-10);
1248 } elseif (strlen($r) > 11) {
1249 return PHPExcel_Calculation_Functions::NaN();
1250 }
1251
1252 return self::_nbrConversionFormat($r,$places);
1253 } // function DECTOBIN()
1254
1255
1284 public static function DECTOHEX($x, $places=null) {
1285 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1286 $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
1287
1288 if (is_bool($x)) {
1289 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
1290 $x = (int) $x;
1291 } else {
1292 return PHPExcel_Calculation_Functions::VALUE();
1293 }
1294 }
1295 $x = (string) $x;
1296 if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) {
1297 return PHPExcel_Calculation_Functions::VALUE();
1298 }
1299 $x = (string) floor($x);
1300 $r = strtoupper(dechex($x));
1301 if (strlen($r) == 8) {
1302 // Two's Complement
1303 $r = 'FF'.$r;
1304 }
1305
1306 return self::_nbrConversionFormat($r,$places);
1307 } // function DECTOHEX()
1308
1309
1338 public static function DECTOOCT($x, $places=null) {
1339 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1340 $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
1341
1342 if (is_bool($x)) {
1343 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
1344 $x = (int) $x;
1345 } else {
1346 return PHPExcel_Calculation_Functions::VALUE();
1347 }
1348 }
1349 $x = (string) $x;
1350 if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) {
1351 return PHPExcel_Calculation_Functions::VALUE();
1352 }
1353 $x = (string) floor($x);
1354 $r = decoct($x);
1355 if (strlen($r) == 11) {
1356 // Two's Complement
1357 $r = substr($r,-10);
1358 }
1359
1360 return self::_nbrConversionFormat($r,$places);
1361 } // function DECTOOCT()
1362
1363
1395 public static function HEXTOBIN($x, $places=null) {
1396 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1397 $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
1398
1399 if (is_bool($x)) {
1400 return PHPExcel_Calculation_Functions::VALUE();
1401 }
1402 $x = (string) $x;
1403 if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) {
1404 return PHPExcel_Calculation_Functions::NaN();
1405 }
1406 $binVal = decbin(hexdec($x));
1407
1408 return substr(self::_nbrConversionFormat($binVal,$places),-10);
1409 } // function HEXTOBIN()
1410
1411
1431 public static function HEXTODEC($x) {
1432 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1433
1434 if (is_bool($x)) {
1435 return PHPExcel_Calculation_Functions::VALUE();
1436 }
1437 $x = (string) $x;
1438 if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) {
1439 return PHPExcel_Calculation_Functions::NaN();
1440 }
1441 return hexdec($x);
1442 } // function HEXTODEC()
1443
1444
1477 public static function HEXTOOCT($x, $places=null) {
1478 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1479 $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
1480
1481 if (is_bool($x)) {
1482 return PHPExcel_Calculation_Functions::VALUE();
1483 }
1484 $x = (string) $x;
1485 if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) {
1486 return PHPExcel_Calculation_Functions::NaN();
1487 }
1488 $octVal = decoct(hexdec($x));
1489
1490 return self::_nbrConversionFormat($octVal,$places);
1491 } // function HEXTOOCT()
1492
1493
1528 public static function OCTTOBIN($x, $places=null) {
1529 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1530 $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
1531
1532 if (is_bool($x)) {
1533 return PHPExcel_Calculation_Functions::VALUE();
1534 }
1535 $x = (string) $x;
1536 if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) {
1537 return PHPExcel_Calculation_Functions::NaN();
1538 }
1539 $r = decbin(octdec($x));
1540
1541 return self::_nbrConversionFormat($r,$places);
1542 } // function OCTTOBIN()
1543
1544
1564 public static function OCTTODEC($x) {
1565 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1566
1567 if (is_bool($x)) {
1568 return PHPExcel_Calculation_Functions::VALUE();
1569 }
1570 $x = (string) $x;
1571 if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) {
1572 return PHPExcel_Calculation_Functions::NaN();
1573 }
1574 return octdec($x);
1575 } // function OCTTODEC()
1576
1577
1607 public static function OCTTOHEX($x, $places=null) {
1608 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
1609 $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
1610
1611 if (is_bool($x)) {
1612 return PHPExcel_Calculation_Functions::VALUE();
1613 }
1614 $x = (string) $x;
1615 if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) {
1616 return PHPExcel_Calculation_Functions::NaN();
1617 }
1618 $hexVal = strtoupper(dechex(octdec($x)));
1619
1620 return self::_nbrConversionFormat($hexVal,$places);
1621 } // function OCTTOHEX()
1622
1623
1640 public static function COMPLEX($realNumber=0.0, $imaginary=0.0, $suffix='i') {
1641 $realNumber = (is_null($realNumber)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($realNumber);
1642 $imaginary = (is_null($imaginary)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($imaginary);
1643 $suffix = (is_null($suffix)) ? 'i' : PHPExcel_Calculation_Functions::flattenSingleValue($suffix);
1644
1645 if (((is_numeric($realNumber)) && (is_numeric($imaginary))) &&
1646 (($suffix == 'i') || ($suffix == 'j') || ($suffix == ''))) {
1647 $realNumber = (float) $realNumber;
1648 $imaginary = (float) $imaginary;
1649
1650 if ($suffix == '') $suffix = 'i';
1651 if ($realNumber == 0.0) {
1652 if ($imaginary == 0.0) {
1653 return (string) '0';
1654 } elseif ($imaginary == 1.0) {
1655 return (string) $suffix;
1656 } elseif ($imaginary == -1.0) {
1657 return (string) '-'.$suffix;
1658 }
1659 return (string) $imaginary.$suffix;
1660 } elseif ($imaginary == 0.0) {
1661 return (string) $realNumber;
1662 } elseif ($imaginary == 1.0) {
1663 return (string) $realNumber.'+'.$suffix;
1664 } elseif ($imaginary == -1.0) {
1665 return (string) $realNumber.'-'.$suffix;
1666 }
1667 if ($imaginary > 0) { $imaginary = (string) '+'.$imaginary; }
1668 return (string) $realNumber.$imaginary.$suffix;
1669 }
1670
1671 return PHPExcel_Calculation_Functions::VALUE();
1672 } // function COMPLEX()
1673
1674
1689 public static function IMAGINARY($complexNumber) {
1690 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1691
1692 $parsedComplex = self::_parseComplex($complexNumber);
1693 return $parsedComplex['imaginary'];
1694 } // function IMAGINARY()
1695
1696
1710 public static function IMREAL($complexNumber) {
1711 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1712
1713 $parsedComplex = self::_parseComplex($complexNumber);
1714 return $parsedComplex['real'];
1715 } // function IMREAL()
1716
1717
1729 public static function IMABS($complexNumber) {
1730 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1731
1732 $parsedComplex = self::_parseComplex($complexNumber);
1733
1734 return sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary']));
1735 } // function IMABS()
1736
1737
1750 public static function IMARGUMENT($complexNumber) {
1751 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1752
1753 $parsedComplex = self::_parseComplex($complexNumber);
1754
1755 if ($parsedComplex['real'] == 0.0) {
1756 if ($parsedComplex['imaginary'] == 0.0) {
1757 return 0.0;
1758 } elseif($parsedComplex['imaginary'] < 0.0) {
1759 return M_PI / -2;
1760 } else {
1761 return M_PI / 2;
1762 }
1763 } elseif ($parsedComplex['real'] > 0.0) {
1764 return atan($parsedComplex['imaginary'] / $parsedComplex['real']);
1765 } elseif ($parsedComplex['imaginary'] < 0.0) {
1766 return 0 - (M_PI - atan(abs($parsedComplex['imaginary']) / abs($parsedComplex['real'])));
1767 } else {
1768 return M_PI - atan($parsedComplex['imaginary'] / abs($parsedComplex['real']));
1769 }
1770 } // function IMARGUMENT()
1771
1772
1784 public static function IMCONJUGATE($complexNumber) {
1785 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1786
1787 $parsedComplex = self::_parseComplex($complexNumber);
1788
1789 if ($parsedComplex['imaginary'] == 0.0) {
1790 return $parsedComplex['real'];
1791 } else {
1792 return self::_cleanComplex( self::COMPLEX( $parsedComplex['real'],
1793 0 - $parsedComplex['imaginary'],
1794 $parsedComplex['suffix']
1795 )
1796 );
1797 }
1798 } // function IMCONJUGATE()
1799
1800
1812 public static function IMCOS($complexNumber) {
1813 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1814
1815 $parsedComplex = self::_parseComplex($complexNumber);
1816
1817 if ($parsedComplex['imaginary'] == 0.0) {
1818 return cos($parsedComplex['real']);
1819 } else {
1820 return self::IMCONJUGATE(self::COMPLEX(cos($parsedComplex['real']) * cosh($parsedComplex['imaginary']),sin($parsedComplex['real']) * sinh($parsedComplex['imaginary']),$parsedComplex['suffix']));
1821 }
1822 } // function IMCOS()
1823
1824
1836 public static function IMSIN($complexNumber) {
1837 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1838
1839 $parsedComplex = self::_parseComplex($complexNumber);
1840
1841 if ($parsedComplex['imaginary'] == 0.0) {
1842 return sin($parsedComplex['real']);
1843 } else {
1844 return self::COMPLEX(sin($parsedComplex['real']) * cosh($parsedComplex['imaginary']),cos($parsedComplex['real']) * sinh($parsedComplex['imaginary']),$parsedComplex['suffix']);
1845 }
1846 } // function IMSIN()
1847
1848
1860 public static function IMSQRT($complexNumber) {
1861 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1862
1863 $parsedComplex = self::_parseComplex($complexNumber);
1864
1865 $theta = self::IMARGUMENT($complexNumber);
1866 $d1 = cos($theta / 2);
1867 $d2 = sin($theta / 2);
1868 $r = sqrt(sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary'])));
1869
1870 if ($parsedComplex['suffix'] == '') {
1871 return self::COMPLEX($d1 * $r,$d2 * $r);
1872 } else {
1873 return self::COMPLEX($d1 * $r,$d2 * $r,$parsedComplex['suffix']);
1874 }
1875 } // function IMSQRT()
1876
1877
1889 public static function IMLN($complexNumber) {
1890 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1891
1892 $parsedComplex = self::_parseComplex($complexNumber);
1893
1894 if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1895 return PHPExcel_Calculation_Functions::NaN();
1896 }
1897
1898 $logR = log(sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary'])));
1899 $t = self::IMARGUMENT($complexNumber);
1900
1901 if ($parsedComplex['suffix'] == '') {
1902 return self::COMPLEX($logR,$t);
1903 } else {
1904 return self::COMPLEX($logR,$t,$parsedComplex['suffix']);
1905 }
1906 } // function IMLN()
1907
1908
1920 public static function IMLOG10($complexNumber) {
1921 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1922
1923 $parsedComplex = self::_parseComplex($complexNumber);
1924
1925 if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1926 return PHPExcel_Calculation_Functions::NaN();
1927 } elseif (($parsedComplex['real'] > 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1928 return log10($parsedComplex['real']);
1929 }
1930
1931 return self::IMPRODUCT(log10(EULER),self::IMLN($complexNumber));
1932 } // function IMLOG10()
1933
1934
1946 public static function IMLOG2($complexNumber) {
1947 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1948
1949 $parsedComplex = self::_parseComplex($complexNumber);
1950
1951 if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1952 return PHPExcel_Calculation_Functions::NaN();
1953 } elseif (($parsedComplex['real'] > 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1954 return log($parsedComplex['real'],2);
1955 }
1956
1957 return self::IMPRODUCT(log(EULER,2),self::IMLN($complexNumber));
1958 } // function IMLOG2()
1959
1960
1972 public static function IMEXP($complexNumber) {
1973 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1974
1975 $parsedComplex = self::_parseComplex($complexNumber);
1976
1977 if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1978 return '1';
1979 }
1980
1981 $e = exp($parsedComplex['real']);
1982 $eX = $e * cos($parsedComplex['imaginary']);
1983 $eY = $e * sin($parsedComplex['imaginary']);
1984
1985 if ($parsedComplex['suffix'] == '') {
1986 return self::COMPLEX($eX,$eY);
1987 } else {
1988 return self::COMPLEX($eX,$eY,$parsedComplex['suffix']);
1989 }
1990 } // function IMEXP()
1991
1992
2005 public static function IMPOWER($complexNumber,$realNumber) {
2006 $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
2007 $realNumber = PHPExcel_Calculation_Functions::flattenSingleValue($realNumber);
2008
2009 if (!is_numeric($realNumber)) {
2010 return PHPExcel_Calculation_Functions::VALUE();
2011 }
2012
2013 $parsedComplex = self::_parseComplex($complexNumber);
2014
2015 $r = sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary']));
2016 $rPower = pow($r,$realNumber);
2017 $theta = self::IMARGUMENT($complexNumber) * $realNumber;
2018 if ($theta == 0) {
2019 return 1;
2020 } elseif ($parsedComplex['imaginary'] == 0.0) {
2021 return self::COMPLEX($rPower * cos($theta),$rPower * sin($theta),$parsedComplex['suffix']);
2022 } else {
2023 return self::COMPLEX($rPower * cos($theta),$rPower * sin($theta),$parsedComplex['suffix']);
2024 }
2025 } // function IMPOWER()
2026
2027
2040 public static function IMDIV($complexDividend,$complexDivisor) {
2041 $complexDividend = PHPExcel_Calculation_Functions::flattenSingleValue($complexDividend);
2042 $complexDivisor = PHPExcel_Calculation_Functions::flattenSingleValue($complexDivisor);
2043
2044 $parsedComplexDividend = self::_parseComplex($complexDividend);
2045 $parsedComplexDivisor = self::_parseComplex($complexDivisor);
2046
2047 if (($parsedComplexDividend['suffix'] != '') && ($parsedComplexDivisor['suffix'] != '') &&
2048 ($parsedComplexDividend['suffix'] != $parsedComplexDivisor['suffix'])) {
2049 return PHPExcel_Calculation_Functions::NaN();
2050 }
2051 if (($parsedComplexDividend['suffix'] != '') && ($parsedComplexDivisor['suffix'] == '')) {
2052 $parsedComplexDivisor['suffix'] = $parsedComplexDividend['suffix'];
2053 }
2054
2055 $d1 = ($parsedComplexDividend['real'] * $parsedComplexDivisor['real']) + ($parsedComplexDividend['imaginary'] * $parsedComplexDivisor['imaginary']);
2056 $d2 = ($parsedComplexDividend['imaginary'] * $parsedComplexDivisor['real']) - ($parsedComplexDividend['real'] * $parsedComplexDivisor['imaginary']);
2057 $d3 = ($parsedComplexDivisor['real'] * $parsedComplexDivisor['real']) + ($parsedComplexDivisor['imaginary'] * $parsedComplexDivisor['imaginary']);
2058
2059 $r = $d1/$d3;
2060 $i = $d2/$d3;
2061
2062 if ($i > 0.0) {
2063 return self::_cleanComplex($r.'+'.$i.$parsedComplexDivisor['suffix']);
2064 } elseif ($i < 0.0) {
2065 return self::_cleanComplex($r.$i.$parsedComplexDivisor['suffix']);
2066 } else {
2067 return $r;
2068 }
2069 } // function IMDIV()
2070
2071
2084 public static function IMSUB($complexNumber1,$complexNumber2) {
2085 $complexNumber1 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber1);
2086 $complexNumber2 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber2);
2087
2088 $parsedComplex1 = self::_parseComplex($complexNumber1);
2089 $parsedComplex2 = self::_parseComplex($complexNumber2);
2090
2091 if ((($parsedComplex1['suffix'] != '') && ($parsedComplex2['suffix'] != '')) &&
2092 ($parsedComplex1['suffix'] != $parsedComplex2['suffix'])) {
2093 return PHPExcel_Calculation_Functions::NaN();
2094 } elseif (($parsedComplex1['suffix'] == '') && ($parsedComplex2['suffix'] != '')) {
2095 $parsedComplex1['suffix'] = $parsedComplex2['suffix'];
2096 }
2097
2098 $d1 = $parsedComplex1['real'] - $parsedComplex2['real'];
2099 $d2 = $parsedComplex1['imaginary'] - $parsedComplex2['imaginary'];
2100
2101 return self::COMPLEX($d1,$d2,$parsedComplex1['suffix']);
2102 } // function IMSUB()
2103
2104
2116 public static function IMSUM() {
2117 // Return value
2118 $returnValue = self::_parseComplex('0');
2119 $activeSuffix = '';
2120
2121 // Loop through the arguments
2122 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2123 foreach ($aArgs as $arg) {
2124 $parsedComplex = self::_parseComplex($arg);
2125
2126 if ($activeSuffix == '') {
2127 $activeSuffix = $parsedComplex['suffix'];
2128 } elseif (($parsedComplex['suffix'] != '') && ($activeSuffix != $parsedComplex['suffix'])) {
2129 return PHPExcel_Calculation_Functions::VALUE();
2130 }
2131
2132 $returnValue['real'] += $parsedComplex['real'];
2133 $returnValue['imaginary'] += $parsedComplex['imaginary'];
2134 }
2135
2136 if ($returnValue['imaginary'] == 0.0) { $activeSuffix = ''; }
2137 return self::COMPLEX($returnValue['real'],$returnValue['imaginary'],$activeSuffix);
2138 } // function IMSUM()
2139
2140
2152 public static function IMPRODUCT() {
2153 // Return value
2154 $returnValue = self::_parseComplex('1');
2155 $activeSuffix = '';
2156
2157 // Loop through the arguments
2158 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2159 foreach ($aArgs as $arg) {
2160 $parsedComplex = self::_parseComplex($arg);
2161
2162 $workValue = $returnValue;
2163 if (($parsedComplex['suffix'] != '') && ($activeSuffix == '')) {
2164 $activeSuffix = $parsedComplex['suffix'];
2165 } elseif (($parsedComplex['suffix'] != '') && ($activeSuffix != $parsedComplex['suffix'])) {
2166 return PHPExcel_Calculation_Functions::NaN();
2167 }
2168 $returnValue['real'] = ($workValue['real'] * $parsedComplex['real']) - ($workValue['imaginary'] * $parsedComplex['imaginary']);
2169 $returnValue['imaginary'] = ($workValue['real'] * $parsedComplex['imaginary']) + ($workValue['imaginary'] * $parsedComplex['real']);
2170 }
2171
2172 if ($returnValue['imaginary'] == 0.0) { $activeSuffix = ''; }
2173 return self::COMPLEX($returnValue['real'],$returnValue['imaginary'],$activeSuffix);
2174 } // function IMPRODUCT()
2175
2176
2192 public static function DELTA($a, $b=0) {
2193 $a = PHPExcel_Calculation_Functions::flattenSingleValue($a);
2194 $b = PHPExcel_Calculation_Functions::flattenSingleValue($b);
2195
2196 return (int) ($a == $b);
2197 } // function DELTA()
2198
2199
2215 public static function GESTEP($number, $step=0) {
2216 $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
2217 $step = PHPExcel_Calculation_Functions::flattenSingleValue($step);
2218
2219 return (int) ($number >= $step);
2220 } // function GESTEP()
2221
2222
2223 //
2224 // Private method to calculate the erf value
2225 //
2226 private static $_two_sqrtpi = 1.128379167095512574;
2227
2228 public static function _erfVal($x) {
2229 if (abs($x) > 2.2) {
2230 return 1 - self::_erfcVal($x);
2231 }
2232 $sum = $term = $x;
2233 $xsqr = ($x * $x);
2234 $j = 1;
2235 do {
2236 $term *= $xsqr / $j;
2237 $sum -= $term / (2 * $j + 1);
2238 ++$j;
2239 $term *= $xsqr / $j;
2240 $sum += $term / (2 * $j + 1);
2241 ++$j;
2242 if ($sum == 0.0) {
2243 break;
2244 }
2245 } while (abs($term / $sum) > PRECISION);
2246 return self::$_two_sqrtpi * $sum;
2247 } // function _erfVal()
2248
2249
2268 public static function ERF($lower, $upper = NULL) {
2269 $lower = PHPExcel_Calculation_Functions::flattenSingleValue($lower);
2270 $upper = PHPExcel_Calculation_Functions::flattenSingleValue($upper);
2271
2272 if (is_numeric($lower)) {
2273 if (is_null($upper)) {
2274 return self::_erfVal($lower);
2275 }
2276 if (is_numeric($upper)) {
2277 return self::_erfVal($upper) - self::_erfVal($lower);
2278 }
2279 }
2280 return PHPExcel_Calculation_Functions::VALUE();
2281 } // function ERF()
2282
2283
2284 //
2285 // Private method to calculate the erfc value
2286 //
2287 private static $_one_sqrtpi = 0.564189583547756287;
2288
2289 private static function _erfcVal($x) {
2290 if (abs($x) < 2.2) {
2291 return 1 - self::_erfVal($x);
2292 }
2293 if ($x < 0) {
2294 return 2 - self::ERFC(-$x);
2295 }
2296 $a = $n = 1;
2297 $b = $c = $x;
2298 $d = ($x * $x) + 0.5;
2299 $q1 = $q2 = $b / $d;
2300 $t = 0;
2301 do {
2302 $t = $a * $n + $b * $x;
2303 $a = $b;
2304 $b = $t;
2305 $t = $c * $n + $d * $x;
2306 $c = $d;
2307 $d = $t;
2308 $n += 0.5;
2309 $q1 = $q2;
2310 $q2 = $b / $d;
2311 } while ((abs($q1 - $q2) / $q2) > PRECISION);
2312 return self::$_one_sqrtpi * exp(-$x * $x) * $q2;
2313 } // function _erfcVal()
2314
2315
2332 public static function ERFC($x) {
2333 $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
2334
2335 if (is_numeric($x)) {
2336 return self::_erfcVal($x);
2337 }
2338 return PHPExcel_Calculation_Functions::VALUE();
2339 } // function ERFC()
2340
2341
2348 public static function getConversionGroups() {
2349 $conversionGroups = array();
2350 foreach(self::$_conversionUnits as $conversionUnit) {
2351 $conversionGroups[] = $conversionUnit['Group'];
2352 }
2353 return array_merge(array_unique($conversionGroups));
2354 } // function getConversionGroups()
2355
2356
2364 public static function getConversionGroupUnits($group = NULL) {
2365 $conversionGroups = array();
2366 foreach(self::$_conversionUnits as $conversionUnit => $conversionGroup) {
2367 if ((is_null($group)) || ($conversionGroup['Group'] == $group)) {
2368 $conversionGroups[$conversionGroup['Group']][] = $conversionUnit;
2369 }
2370 }
2371 return $conversionGroups;
2372 } // function getConversionGroupUnits()
2373
2374
2381 public static function getConversionGroupUnitDetails($group = NULL) {
2382 $conversionGroups = array();
2383 foreach(self::$_conversionUnits as $conversionUnit => $conversionGroup) {
2384 if ((is_null($group)) || ($conversionGroup['Group'] == $group)) {
2385 $conversionGroups[$conversionGroup['Group']][] = array( 'unit' => $conversionUnit,
2386 'description' => $conversionGroup['Unit Name']
2387 );
2388 }
2389 }
2390 return $conversionGroups;
2391 } // function getConversionGroupUnitDetails()
2392
2393
2400 public static function getConversionMultipliers() {
2401 return self::$_conversionMultipliers;
2402 } // function getConversionGroups()
2403
2404
2421 public static function CONVERTUOM($value, $fromUOM, $toUOM) {
2422 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
2423 $fromUOM = PHPExcel_Calculation_Functions::flattenSingleValue($fromUOM);
2424 $toUOM = PHPExcel_Calculation_Functions::flattenSingleValue($toUOM);
2425
2426 if (!is_numeric($value)) {
2427 return PHPExcel_Calculation_Functions::VALUE();
2428 }
2429 $fromMultiplier = 1.0;
2430 if (isset(self::$_conversionUnits[$fromUOM])) {
2431 $unitGroup1 = self::$_conversionUnits[$fromUOM]['Group'];
2432 } else {
2433 $fromMultiplier = substr($fromUOM,0,1);
2434 $fromUOM = substr($fromUOM,1);
2435 if (isset(self::$_conversionMultipliers[$fromMultiplier])) {
2436 $fromMultiplier = self::$_conversionMultipliers[$fromMultiplier]['multiplier'];
2437 } else {
2438 return PHPExcel_Calculation_Functions::NA();
2439 }
2440 if ((isset(self::$_conversionUnits[$fromUOM])) && (self::$_conversionUnits[$fromUOM]['AllowPrefix'])) {
2441 $unitGroup1 = self::$_conversionUnits[$fromUOM]['Group'];
2442 } else {
2443 return PHPExcel_Calculation_Functions::NA();
2444 }
2445 }
2446 $value *= $fromMultiplier;
2447
2448 $toMultiplier = 1.0;
2449 if (isset(self::$_conversionUnits[$toUOM])) {
2450 $unitGroup2 = self::$_conversionUnits[$toUOM]['Group'];
2451 } else {
2452 $toMultiplier = substr($toUOM,0,1);
2453 $toUOM = substr($toUOM,1);
2454 if (isset(self::$_conversionMultipliers[$toMultiplier])) {
2455 $toMultiplier = self::$_conversionMultipliers[$toMultiplier]['multiplier'];
2456 } else {
2457 return PHPExcel_Calculation_Functions::NA();
2458 }
2459 if ((isset(self::$_conversionUnits[$toUOM])) && (self::$_conversionUnits[$toUOM]['AllowPrefix'])) {
2460 $unitGroup2 = self::$_conversionUnits[$toUOM]['Group'];
2461 } else {
2462 return PHPExcel_Calculation_Functions::NA();
2463 }
2464 }
2465 if ($unitGroup1 != $unitGroup2) {
2466 return PHPExcel_Calculation_Functions::NA();
2467 }
2468
2469 if (($fromUOM == $toUOM) && ($fromMultiplier == $toMultiplier)) {
2470 // We've already factored $fromMultiplier into the value, so we need
2471 // to reverse it again
2472 return $value / $fromMultiplier;
2473 } elseif ($unitGroup1 == 'Temperature') {
2474 if (($fromUOM == 'F') || ($fromUOM == 'fah')) {
2475 if (($toUOM == 'F') || ($toUOM == 'fah')) {
2476 return $value;
2477 } else {
2478 $value = (($value - 32) / 1.8);
2479 if (($toUOM == 'K') || ($toUOM == 'kel')) {
2480 $value += 273.15;
2481 }
2482 return $value;
2483 }
2484 } elseif ((($fromUOM == 'K') || ($fromUOM == 'kel')) &&
2485 (($toUOM == 'K') || ($toUOM == 'kel'))) {
2486 return $value;
2487 } elseif ((($fromUOM == 'C') || ($fromUOM == 'cel')) &&
2488 (($toUOM == 'C') || ($toUOM == 'cel'))) {
2489 return $value;
2490 }
2491 if (($toUOM == 'F') || ($toUOM == 'fah')) {
2492 if (($fromUOM == 'K') || ($fromUOM == 'kel')) {
2493 $value -= 273.15;
2494 }
2495 return ($value * 1.8) + 32;
2496 }
2497 if (($toUOM == 'C') || ($toUOM == 'cel')) {
2498 return $value - 273.15;
2499 }
2500 return $value + 273.15;
2501 }
2502 return ($value * self::$_unitConversions[$unitGroup1][$fromUOM][$toUOM]) / $toMultiplier;
2503 } // function CONVERTUOM()
2504
2505} // class PHPExcel_Calculation_Engineering
EULER
const EULER(!defined('PHPEXCEL_ROOT'))
PHPExcel root directory.
Definition: Engineering.php:40
PRECISION
const PRECISION
PRECISION.
Definition: Functions.php:49
M_2DIVPI
const M_2DIVPI
2 / PI
Definition: Functions.php:43
$n
$n
Definition: RandomTest.php:85
php
An exception for terminatinating execution or to throw for unit testing.
PHPExcel_Calculation_Engineering
Definition: Engineering.php:50
PHPExcel_Calculation_Engineering\_Bessely1
static _Bessely1($fNum)
Definition: Engineering.php:984
PHPExcel_Calculation_Engineering\OCTTODEC
static OCTTODEC($x)
Definition: Engineering.php:1564
PHPExcel_Calculation_Engineering\BESSELK
static BESSELK($x, $ord)
Definition: Engineering.php:937
PHPExcel_Calculation_Engineering\IMPRODUCT
static IMPRODUCT()
IMPRODUCT.
Definition: Engineering.php:2152
PHPExcel_Calculation_Engineering\IMARGUMENT
static IMARGUMENT($complexNumber)
IMARGUMENT.
Definition: Engineering.php:1750
PHPExcel_Calculation_Engineering\COMPLEX
static COMPLEX($realNumber=0.0, $imaginary=0.0, $suffix='i')
Definition: Engineering.php:1640
PHPExcel_Calculation_Engineering\_cleanComplex
static _cleanComplex($complexNumber)
Cleans the leading characters in a complex number string.
Definition: Engineering.php:749
PHPExcel_Calculation_Engineering\_parseComplex
static _parseComplex($complexNumber)
_parseComplex
Definition: Engineering.php:696
PHPExcel_Calculation_Engineering\IMCONJUGATE
static IMCONJUGATE($complexNumber)
IMCONJUGATE.
Definition: Engineering.php:1784
PHPExcel_Calculation_Engineering\DECTOOCT
static DECTOOCT($x, $places=null)
Definition: Engineering.php:1338
PHPExcel_Calculation_Engineering\IMSUM
static IMSUM()
IMSUM.
Definition: Engineering.php:2116
PHPExcel_Calculation_Engineering\getConversionGroups
static getConversionGroups()
getConversionGroups Returns a list of the different conversion groups for UOM conversions
Definition: Engineering.php:2348
PHPExcel_Calculation_Engineering\HEXTOOCT
static HEXTOOCT($x, $places=null)
Definition: Engineering.php:1477
PHPExcel_Calculation_Engineering\_nbrConversionFormat
static _nbrConversionFormat($xVal, $places)
Formats a number base string value with leading zeroes.
Definition: Engineering.php:764
PHPExcel_Calculation_Engineering\_Besselk0
static _Besselk0($fNum)
Definition: Engineering.php:884
PHPExcel_Calculation_Engineering\BINTOHEX
static BINTOHEX($x, $places=NULL)
Definition: Engineering.php:1116
PHPExcel_Calculation_Engineering\IMCOS
static IMCOS($complexNumber)
IMCOS.
Definition: Engineering.php:1812
PHPExcel_Calculation_Engineering\getConversionMultipliers
static getConversionMultipliers()
getConversionMultipliers Returns an array of the Multiplier prefixes that can be used with Units of M...
Definition: Engineering.php:2400
PHPExcel_Calculation_Engineering\ERF
static ERF($lower, $upper=NULL)
ERF.
Definition: Engineering.php:2268
PHPExcel_Calculation_Engineering\IMEXP
static IMEXP($complexNumber)
IMEXP.
Definition: Engineering.php:1972
PHPExcel_Calculation_Engineering\$_conversionUnits
static $_conversionUnits
Definition: Engineering.php:57
PHPExcel_Calculation_Engineering\_Besselk1
static _Besselk1($fNum)
Definition: Engineering.php:901
PHPExcel_Calculation_Engineering\OCTTOBIN
static OCTTOBIN($x, $places=null)
Definition: Engineering.php:1528
PHPExcel_Calculation_Engineering\BESSELI
static BESSELI($x, $ord)
Definition: Engineering.php:796
PHPExcel_Calculation_Engineering\_erfVal
static _erfVal($x)
Definition: Engineering.php:2228
PHPExcel_Calculation_Engineering\BESSELY
static BESSELY($x, $ord)
Definition: Engineering.php:1017
PHPExcel_Calculation_Engineering\IMAGINARY
static IMAGINARY($complexNumber)
Definition: Engineering.php:1689
PHPExcel_Calculation_Engineering\IMDIV
static IMDIV($complexDividend, $complexDivisor)
IMDIV.
Definition: Engineering.php:2040
PHPExcel_Calculation_Engineering\IMSIN
static IMSIN($complexNumber)
IMSIN.
Definition: Engineering.php:1836
PHPExcel_Calculation_Engineering\_Bessely0
static _Bessely0($fNum)
Definition: Engineering.php:966
PHPExcel_Calculation_Engineering\IMREAL
static IMREAL($complexNumber)
Definition: Engineering.php:1710
PHPExcel_Calculation_Engineering\getConversionGroupUnitDetails
static getConversionGroupUnitDetails($group=NULL)
getConversionGroupUnitDetails
Definition: Engineering.php:2381
PHPExcel_Calculation_Engineering\$_two_sqrtpi
static $_two_sqrtpi
Definition: Engineering.php:2226
PHPExcel_Calculation_Engineering\HEXTODEC
static HEXTODEC($x)
Definition: Engineering.php:1431
PHPExcel_Calculation_Engineering\getConversionGroupUnits
static getConversionGroupUnits($group=NULL)
getConversionGroupUnits Returns an array of units of measure, for a specified conversion group,...
Definition: Engineering.php:2364
PHPExcel_Calculation_Engineering\BINTODEC
static BINTODEC($x)
Definition: Engineering.php:1064
PHPExcel_Calculation_Engineering\$_conversionMultipliers
static $_conversionMultipliers
Definition: Engineering.php:127
PHPExcel_Calculation_Engineering\GESTEP
static GESTEP($number, $step=0)
GESTEP.
Definition: Engineering.php:2215
PHPExcel_Calculation_Engineering\$_one_sqrtpi
static $_one_sqrtpi
Definition: Engineering.php:2287
PHPExcel_Calculation_Engineering\BINTOOCT
static BINTOOCT($x, $places=NULL)
Definition: Engineering.php:1170
PHPExcel_Calculation_Engineering\DECTOBIN
static DECTOBIN($x, $places=NULL)
Definition: Engineering.php:1228
PHPExcel_Calculation_Engineering\ERFC
static ERFC($x)
ERFC.
Definition: Engineering.php:2332
PHPExcel_Calculation_Engineering\IMABS
static IMABS($complexNumber)
IMABS.
Definition: Engineering.php:1729
PHPExcel_Calculation_Engineering\IMSUB
static IMSUB($complexNumber1, $complexNumber2)
IMSUB.
Definition: Engineering.php:2084
PHPExcel_Calculation_Engineering\CONVERTUOM
static CONVERTUOM($value, $fromUOM, $toUOM)
CONVERTUOM.
Definition: Engineering.php:2421
PHPExcel_Calculation_Engineering\IMSQRT
static IMSQRT($complexNumber)
IMSQRT.
Definition: Engineering.php:1860
PHPExcel_Calculation_Engineering\IMLOG10
static IMLOG10($complexNumber)
IMLOG10.
Definition: Engineering.php:1920
PHPExcel_Calculation_Engineering\BESSELJ
static BESSELJ($x, $ord)
Definition: Engineering.php:848
PHPExcel_Calculation_Engineering\IMPOWER
static IMPOWER($complexNumber, $realNumber)
IMPOWER.
Definition: Engineering.php:2005
PHPExcel_Calculation_Engineering\OCTTOHEX
static OCTTOHEX($x, $places=null)
Definition: Engineering.php:1607
PHPExcel_Calculation_Engineering\IMLN
static IMLN($complexNumber)
IMLN.
Definition: Engineering.php:1889
PHPExcel_Calculation_Engineering\DELTA
static DELTA($a, $b=0)
DELTA.
Definition: Engineering.php:2192
PHPExcel_Calculation_Engineering\DECTOHEX
static DECTOHEX($x, $places=null)
Definition: Engineering.php:1284
PHPExcel_Calculation_Engineering\$_unitConversions
static $_unitConversions
Definition: Engineering.php:154
PHPExcel_Calculation_Engineering\_erfcVal
static _erfcVal($x)
Definition: Engineering.php:2289
PHPExcel_Calculation_Engineering\HEXTOBIN
static HEXTOBIN($x, $places=null)
Definition: Engineering.php:1395
PHPExcel_Calculation_Engineering\IMLOG2
static IMLOG2($complexNumber)
IMLOG2.
Definition: Engineering.php:1946
PHPExcel_Calculation_Functions\getCompatibilityMode
static getCompatibilityMode()
Definition: Functions.php:138
PHPExcel_Calculation_Functions\flattenSingleValue
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
PHPExcel_Calculation_Functions\COMPATIBILITY_GNUMERIC
const COMPATIBILITY_GNUMERIC
Definition: Functions.php:63
PHPExcel_Calculation_Functions\flattenArray
static flattenArray($array)
Convert a multi-dimensional array to a simple 1-dimensional array.
Definition: Functions.php:598
PHPExcel_Calculation_Functions\NA
static NA()
Definition: Functions.php:219
PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE
const COMPATIBILITY_OPENOFFICE
Definition: Functions.php:64
PHPExcel_Calculation_Functions\VALUE
static VALUE()
Definition: Functions.php:289
PHPExcel_Calculation_Functions\NaN
static NaN()
Definition: Functions.php:233
PHPExcel_Calculation_MathTrig\FACT
static FACT($factVal)
Definition: MathTrig.php:240
$d
for( $i=6;$i< 13;$i++) for($i=1; $i< 13; $i++) $d
Definition: date.php:296
$i
$i
Definition: disco.tpl.php:19
$y
$y
Definition: example_007.php:83
$x
$x
Definition: example_009.php:98
$r
$r
Definition: example_031.php:79
e
e($cmd)
Definition: flush.php:14
defined
defined( 'APPLICATION_ENV')||define( 'APPLICATION_ENV'
Definition: bootstrap.php:27