30#include "implicit_f.inc"
160 threeem3 = three / ep03
161 fourem3 = four / ep03
162 fiveem3 = five / ep03
163 sixem3 = zep01 - fourem3
164 sevenem3 = zep01 - threeem3
165 eightem3 = zep01 - twoem3
166 nineem3 = zep01 - em03
169 threeem4 = three / ep04
170 fourem4 = four / ep04
171 fiveem4 = five / ep04
172 sixem4 = em03 - fourem4
173 sevenem4 = em03 - threeem4
174 eightem4 = em03 - twoem4
175 nineem4 = em03 - em04
178 threeem5 = three / ep05
179 fourem5 = four / ep05
180 fiveem5 = five / ep05
181 sixem5 = em04 - fourem5
182 sevenem5 = em04 - threeem5
183 eightem5 = em04 - twoem5
184 nineem5 = em04 - em05
187 threeem6 = three / ep06
188 fourem6 = four / ep06
189 fiveem6 = five / ep06
190 sixem6 = em05 - fourem6
191 sevenem6 = em05 - threeem6
192 eightem6 = em05 - twoem6
193 nineem6 = em05 - em06
198 threeep30 = three * ep30
199 fourep30 = four * ep30
200 zep9ep30 = nine *ep29
209 one_over_8 = one/eight
210 one_over_9 = one/nine
211 one_over_12 = one/twelve
212 one_over_16 = one/sixteen
213 one_over_64 = one/sixty4
214 one_over_512 = one/fivehundred12
215 two_third = two/three
216 three_half = three/two
217 three_over_4 = three/four
218 trhee_over_14 = three/fourteen
219 four_over_3 = four/three
220 four_over_5 = four/five
221 five_over_3 = five/three
222 five_over_4 = five/four
223 five_over_6 = five/six
224 six_over_5 = six/five
225 seven_half = seven/two
226 seven_over_5 = seven/five
227 seven_over_9 = seven/nine
228 nine_over_2 = nine/two
229 nine_over_20 = nine/twenty
247 zep213 = zep21 + threeem3
255 zep333 = zep33 + threeem3
256 zep373 = zep37 + threeem3
259 zep4187 = zep41 + eightem3 + sevenem4
264 zep475 = zep4 + zep07 + fiveem3
265 zep499 = zep4 + zep09 + nineem3
274 zep707 = one - zep3 + sevenem3
291 zep995 = one - fiveem3
292 zep997 = one - threeem3
295 zep99999 = one - em05
296 zep931 = zep93 + em03
299 zep015625 = one / sixty4
300 zep025 = one / fourty
301 zep037 = zep03 + sevenem3
302 zep072169 = zep07 + twoem3 + em04 + sixem5 + nineem6
303 zep075 = three / fourty
307 onep0001 = one + em04
308 onep00001 = one + em05
318 onep11 = onep1 + zep01
319 onep12 = onep1 + zep02
320 onep13 = onep1 + zep03
321 onep14 = onep1 + zep04
322 onep15 = onep1 + zep05
323 onep16 = onep1 + zep06
324 onep17 = onep1 + zep07
325 onep18 = onep1 + zep08
326 onep19 = onep1 + zep09
327 onep136 = onep13 + sixem3
328 onep138 = onep13 + eightem3
331 onep21 = onep2 + zep01
332 onep23 = onep2 + zep03
333 onep24 = onep2 + zep04
335 onep26 = onep2 + zep06
336 onep27 = onep2 + zep07
337 onep28 = onep2 + zep08
338 onep251 = onep25 + em03
339 onep252 = onep25 + twoem3
342 onep31 = onep3 + zep01
343 onep32 = onep3 + zep02
344 onep33 = onep3 + zep03
345 onep34 = onep3 + zep04
346 onep35 = onep3 + zep05
347 onep36 = onep3 + zep06
348 onep37 = onep3 + zep07
349 onep38 = onep3 + zep08
350 onep39 = onep3 + zep09
351 onep333 = onep33 + threeem3
352 onep3348= onep33 + fourem3 + eightem4
353 onep369 = onep36 + nineem3
356 onep41 = onep4 + zep01
357 onep42 = onep4 + zep02
358 onep44 = onep4 + zep04
359 onep45 = onep4 + zep05
360 onep46 = onep4 + zep06
361 onep48 = onep4 + zep08
362 onep49 = onep4 + zep09
363 onep414 = onep41 + fourem3
364 onep484 = onep48 + fourem3
367 onep51 = onep5 + zep01
368 onep52 = onep5 + zep02
369 onep57 = onep5 + zep07
370 onep59 = onep5 + zep09
373 onep62 = onep6 + zep02
374 onep65 = onep6 + zep05
375 onep66 = onep6 + zep06
376 onep67 = onep6 + zep07
377 onep68 = onep6 + zep08
380 onep72 = onep7 + zep02
381 onep73 = onep7 + zep03
382 onep75 = onep7 + zep05
383 onep78 = onep7 + zep08
384 onep732 = onep73 + twoem3
387 onep82 = onep8 + zep02
388 onep84 = onep8 + zep04
389 onep88 = onep8 + zep08
390 onep833 = onep8 + zep03 + threeem3
391 onep8688 = onep8 + zep06 + eightem3 + eightem4
394 onep92 = onep9 + zep02
395 onep96 = onep9 + zep06
396 onep98 = onep9 + zep08
411 twop11 = twop1 + zep01
412 twop12 = twop1 + zep02
413 twop13 = twop1 + zep03
414 twop16 = twop1 + zep06
415 twop19 = twop1 + zep09
416 twop23 = twop2 + zep03
417 twop24 = twop2 + zep04
418 twop25 = twop2 + zep05
419 twop33 = twop30 + zep03
420 twop38 = twop30 + zep08
421 twop45 = twop4 + zep05
422 twop47 = twop4 + zep07
423 twop52 = twop5 + zep02
424 twop83 = twop8 + zep03
425 twop84 = twop8 + zep04
426 twop85 = twop8 + zep05
428 twop185 = twop1 + zep08 + fiveem3
429 twop261 = twop2 + zep06 + em03
430 twop645 = twop60 + zep04 + fiveem3
432 threep02 = three + zep02
433 threep06 = three + zep06
434 threep14 = three + zep14
435 threep15 = three + zep15
436 threep25 = three + zep2 + zep05
437 threep27 = three + zep2 + zep07
438 threep44 = three + zep4 + zep04
439 threep46 = three + zep4 + zep06
440 threep52 = three + zep5 + zep02
441 threep72 = three + zep7 + zep02
442 threep76 = three + zep7 + zep06
443 threep8 = three + zep8
444 threep94 = three + zep9 + zep04
445 threep266 = three + zep2 + zep06 + sixem3
446 threep464 = three + zep4 + zep06 + fourem3
447 threep4641 = threep464 + em04
449 fourp186 = four + zep1 + zep08 + sixem3
450 fourp40 = four + zep4
451 fourp76 = four + zep7 + zep06
454 fivep56 = five + zep5 + zep06
455 fivep76 = five + zep7 + zep06
457 sip2832 = six + zep2 + zep08 + threeem3 + twoem4
459 ninep24 = nine + zep2 + zep04
460 ninep38 = nine + zep3 + zep08
461 ninep793 = nine + zep7 + zep09 + threeem3
463 elevenp5 = eleven + zep5
464 twelvep6 = twelve + zep6
465 fourteenp2 = fourteen + zep2
466 sixteenp5 = sixteen + zep5
467 o88p9844 = 88. + zep9 + zep08 + fourem3 + fourem4
469 onep3em5 = onep3 * em05
470 onep001em32 = 1001. * em35
471 ninep637em5 = 9637. * em08
472 eightp314em5 = 8314. * em08
474 onep1ep30 = onep1 * ep30
475 onep2ep30 = onep2 * ep30
477 zep999ep31 = zep999 * ep31
481 zep426667 = hundred28 / three100
482 zep222 = ten / fourty5
483 zep00666666667 = two / three100
484 zep01666666667 = five / three100
485 zep444 = hundred / twohundred25
486 onep222 = one + zep222
487 onep8333 = one + twenty5 / thirty
488 twop444 = two + zep444
489 twop6666666667 = eight / three
490 twop6667 = twop6666666667
491 fivep333 = sixteen / three
495 zep1381966 = zep13 + eightem3 + em04 + nineem5 + sixem6 + six*em07
496 zep5854102 = zep5 + zep08 + fiveem3 + fourem4 + em05 + two*em07
501 stefboltz = 5.6704 / ep08
510 sqr3_2 = sqrt(three_half)
511 sqr4_3 = two * sqrt(third)
512 sqr16_3 = two * sqr4_3
513 pi = atan2(zero,-one)