29#include "implicit_f.inc"
154 threeem3 = three / ep03
155 fourem3 = four / ep03
156 fiveem3 = five / ep03
157 sixem3 = zep01 - fourem3
158 sevenem3 = zep01 - threeem3
159 eightem3 = zep01 - twoem3
160 nineem3 = zep01 - em03
163 threeem4 = three / ep04
164 fourem4 = four / ep04
165 fiveem4 = five / ep04
166 sixem4 = em03 - fourem4
167 sevenem4 = em03 - threeem4
168 eightem4 = em03 - twoem4
169 nineem4 = em03 - em04
172 threeem5 = three / ep05
173 fourem5 = four / ep05
174 fiveem5 = five / ep05
175 sixem5 = em04 - fourem5
176 sevenem5 = em04 - threeem5
177 eightem5 = em04 - twoem5
178 nineem5 = em04 - em05
181 threeem6 = three / ep06
182 fourem6 = four / ep06
183 fiveem6 = five / ep06
184 sixem6 = em05 - fourem6
185 sevenem6 = em05 - threeem6
186 eightem6 = em05 - twoem6
187 nineem6 = em05 - em06
192 threeep30 = three *ep30
194 zep9ep30 = nine *ep29
195 onep1ep30 = eleven * ep29
196 onep2ep30 = twelve * ep29
205 one_over_8 = one/eight
206 one_over_9 = one/nine
207 one_over_12 = one/twelve
208 one_over_16 = one/sixteen
209 one_over_64 = one/sixty4
210 one_over_512 = one/fivehundred12
211 two_third = two/three
212 three_half = three/two
213 three_over_4 = three/four
214 trhee_over_14 = three/fourteen
215 tseize = three/sixteen
216 four_over_3 = four/three
217 four_over_5 = four/five
219 five_over_3 = five/three
220 five_over_4 = five/four
221 five_over_6 = five/six
222 six_over_5 = six/five
223 seven_half = seven/two
224 seven_over_5 = seven/five
225 seven_over_9 = seven/nine
226 nine_over_2 = nine/two
227 nseize = nine/sixteen
228 nine_over_20 = nine/twenty
246 zep213 = zep21 + threeem3
254 zep333 = zep33 + threeem3
255 zep373 = zep37 + threeem3
262 zep499 = zep4 + zep09 + nineem3
263 zep4187 = zep41 + eightem3 + sevenem4
272 zep707 = one - zep3 + sevenem3
288 zep995 = one - fiveem3
289 zep997 = one - threeem3
292 zep99999 = one - em05
293 zep931 = zep93 + em03
296 zep015625 = one / sixty4
297 zep025 = one / fourty
298 zep037 = zep03 + sevenem3
299 zep072169 = zep07 + twoem3 + em04 + sixem5 + nineem6
300 zep075 = three / fourty
304 onep0001 = one + em04
305 onep00001 = one + em05
315 onep11 = onep1 + zep01
316 onep12 = onep1 + zep02
317 onep13 = onep1 + zep03
318 onep14 = onep1 + zep04
319 onep15 = onep1 + zep05
320 onep16 = onep1 + zep06
321 onep17 = onep1 + zep07
322 onep18 = onep1 + zep08
323 onep19 = onep1 + zep09
324 onep136 = onep13 + sixem3
325 onep138 = onep13 + eightem3
328 onep21 = onep2 + zep01
329 onep23 = onep2 + zep03
330 onep24 = onep2 + zep04
332 onep26 = onep2 + zep06
333 onep27 = onep2 + zep07
334 onep28 = onep2 + zep08
335 onep251 = onep25 + em03
336 onep252 = onep25 + twoem3
339 onep31 = onep3 + zep01
340 onep32 = onep3 + zep02
341 onep33 = onep3 + zep03
342 onep34 = onep3 + zep04
343 onep35 = onep3 + zep05
344 onep36 = onep3 + zep06
345 onep37 = onep3 + zep07
346 onep38 = onep3 + zep08
347 onep39 = onep3 + zep09
348 onep333 = onep33 + threeem3
349 onep3348= onep33 + fourem3 + eightem4
350 onep369 = onep36 + nineem3
353 onep41 = onep4 + zep01
354 onep42 = onep4 + zep02
355 onep44 = onep4 + zep04
356 onep45 = onep4 + zep05
357 onep46 = onep4 + zep06
358 onep48 = onep4 + zep08
359 onep49 = onep4 + zep09
360 onep414 = onep41 + fourem3
361 onep484 = onep48 + fourem3
364 onep51 = onep5 + zep01
365 onep52 = onep5 + zep02
366 onep57 = onep5 + zep07
367 onep59 = onep5 + zep09
370 onep62 = onep6 + zep02
371 onep65 = onep6 + zep05
372 onep66 = onep6 + zep06
373 onep67 = onep6 + zep07
374 onep68 = onep6 + zep08
377 onep72 = onep7 + zep02
378 onep73 = onep7 + zep03
379 onep75 = onep7 + zep05
380 onep78 = onep7 + zep08
381 onep732 = onep73 + twoem3
384 onep82 = onep8 + zep02
385 onep84 = onep8 + zep04
386 onep88 = onep8 + zep08
387 onep833 = onep8 + zep03 + threeem3
388 onep8333 = one + five_over_6
389 onep8688 = onep8 + zep06 + eightem3 + eightem4
392 onep92 = onep9 + zep02
393 onep96 = onep9 + zep06
394 onep98 = onep9 + zep08
409 twop11 = twop1 + zep01
410 twop12 = twop1 + zep02
411 twop13 = twop1 + zep03
412 twop16 = twop1 + zep06
413 twop19 = twop1 + zep09
414 twop23 = twop2 + zep03
415 twop24 = twop2 + zep04
416 twop25 = twop2 + zep05
417 twop33 = twop30 + zep03
418 twop38 = twop30 + zep08
419 twop45 = twop4 + zep05
420 twop47 = twop4 + zep07
421 twop52 = twop5 + zep02
422 twop83 = twop8 + zep03
423 twop84 = twop8 + zep04
424 twop85 = twop8 + zep05
426 twop185 = twop1 + zep08 + fiveem3
427 twop261 = twop2 + zep06 + em03
428 twop645 = twop60 + zep04 + fiveem3
430 threep02 = three + zep02
431 threep06 = three + zep06
432 threep14 = three + zep14
433 threep15 = three + zep15
434 threep25 = three + zep2 + zep05
435 threep27 = three + zep2 + zep07
436 threep44 = three + zep4 + zep04
437 threep46 = three + zep4 + zep06
438 threep52 = three + zep5 + zep02
439 threep72 = three + zep7 + zep02
440 threep76 = three + zep7 + zep06
441 threep8 = three + zep8
442 threep94 = three + zep9 + zep04
443 threep266 = three + zep2 + zep06 + sixem3
444 threep464 = three + zep4 + zep06 + fourem3
445 threep4641= threep464 + em04
447 fourp186 = four + zep1 + zep08 + sixem3
448 fourp40 = four + zep4
449 fourp76 = four + zep7 + zep06
452 fivep56 = five + zep5 + zep06
453 fivep76 = five + zep7 + zep06
455 sip2832 = six + zep2 + zep08 + threeem3 + twoem4
457 ninep24 = nine + zep2 + zep04
458 ninep38 = nine + zep3 + zep08
459 ninep793 = nine + zep7 + zep09 + threeem3
461 elevenp5 = eleven + zep5
462 onzep225 = eleven + zep2 + zep02+fiveem3
463 twelvep6 = twelve + zep6
464 fourteenp2 = fourteen + zep2
465 sixteenp5 = sixteen + zep5
466 o88p9844 = 88. + zep9 + zep08 + fourem3 + fourem4
468 onep3em5 = onep3 * em05
469 onep001em32 = 1001. * em35
470 ninep637em5 = 9637. * em08
471 eightp314em5 = 8314. * em08
473 onep1ep30 = onep1 * ep30
474 onep2ep30 = onep2 * ep30
476 zep999ep31 = zep999 * ep31
479 zep1381966= zep13 + eightem3 + em04 + nineem5 + sixem6
481 zep5854102= zep5 + zep08 + fiveem3 + fourem4 + em05
484 onep001em32 = 1001. * em35
485 ninep637em5 = 9637. * em08
486 onep3em5 = onep3 * em05
487 eightp314em5 = 8314.* em08
492 zep426667 = hundred28 / three100
493 zep222 = ten / fourty5
494 zep00666666667 = two / three100
495 zep01666666667 = five / three100
496 zep444 = hundred / twohundred25
497 onep222 = one + zep222
498 onep8333 = one + twenty5 / thirty
499 twop444 = two + zep444
500 twop6666666667= eight / three
501 twop6667 = twop6666666667
502 fivep333 = sixteen / three
515 sqr3_2 = sqrt(three_half)
516 sqr4_3 = two * sqrt(third)
517 sqr16_3 = two * sqr4_3
518 pi = atan2(zero,-one)