39#ifndef _CXSC_LX_REAL_HPP_INCLUDED
40#define _CXSC_LX_REAL_HPP_INCLUDED
49 const real Max_Int_R = 9007199254740991.0;
50 const real Max_Int_N = -9007199254738891.0;
70 lx_real(
void)
noexcept {}
72 lx_real(
const real& n,
const l_real &a)
noexcept
75 cxscthrow(REAL_NOT_ALLOWED(
"lx_real(const real&, const l_real&)"));
83 lx_real(
const real& n,
const real &a)
noexcept
86 cxscthrow(REAL_NOT_ALLOWED(
"lx_real(const real&, const real&)"));
94 explicit lx_real(
const l_real &a) noexcept : ex(0), lr(a) { }
96 explicit lx_real(
const real &a) noexcept : ex(0), lr(a) { }
98 lx_real(
const real&,
const string&)
noexcept;
104 inline lx_real & operator = (
const lx_real &)
noexcept;
106 inline lx_real & operator = (
const l_real &)
noexcept;
108 inline lx_real & operator = (
const real &)
noexcept;
113 friend inline int StagPrec(
const lx_real&)
noexcept;
115 friend inline real expo(
const lx_real&)
noexcept;
117 friend inline int sign(
const lx_real&)
noexcept;
119 friend inline l_real lr_part(
const lx_real&)
noexcept;
121 friend inline lx_real abs(
const lx_real&)
noexcept;
123 friend void scale_up (lx_real &)
noexcept;
125 friend void scale_down(lx_real &)
noexcept;
127 friend inline lx_real adjust(
const lx_real &)
noexcept;
130 friend inline bool eq_zero (
const lx_real &a)
noexcept;
132 friend inline bool gr_zero (
const lx_real &a)
noexcept;
134 friend inline bool ge_zero (
const lx_real &a)
noexcept;
136 friend inline bool sm_zero (
const lx_real &a)
noexcept;
138 friend inline bool se_zero (
const lx_real &a)
noexcept;
141 friend inline void times2pown(lx_real &,
const real &)
noexcept;
143 friend inline void times2pown_neg(lx_real& a,
const real& n)
noexcept;
145 friend inline bool operator ! (
const lx_real &)
noexcept;
147 friend inline lx_real operator -(
const lx_real &)
noexcept;
157friend std::string & operator << (std::string &s,
const lx_real& a)
168inline int StagPrec(
const lx_real&)
noexcept;
169inline real expo(
const lx_real&)
noexcept;
170inline int sign(
const lx_real&)
noexcept;
171inline l_real lr_part(
const lx_real&)
noexcept;
172inline lx_real
abs(
const lx_real&)
noexcept;
173inline lx_real adjust(
const lx_real &)
noexcept;
174inline void times2pown_neg(lx_real&,
const real&)
noexcept;
176 void scale_up (lx_real&)
noexcept;
177 void scale_down(lx_real &a)
noexcept;
179 inline bool eq_zero (
const lx_real &a)
noexcept;
180 inline bool gr_zero (
const lx_real &a)
noexcept;
181 inline bool ge_zero (
const lx_real &a)
noexcept;
182 inline bool sm_zero (
const lx_real &a)
noexcept;
183 inline bool se_zero (
const lx_real &a)
noexcept;
185 inline void times2pown(lx_real &,
const real &)
noexcept;
186 inline bool operator ! (
const lx_real &)
noexcept;
188 inline lx_real operator -(
const lx_real &)
noexcept;
193 string & operator >> (
string &s, lx_real &a)
noexcept;
195 void operator >> (
const string &s, lx_real &a)
noexcept;
197 void operator >> (
const char *s, lx_real&)
noexcept;
199 std::istream & operator >> (std::istream &s, lx_real &a)
noexcept;
203 std::string & operator << (std::string &s,
const lx_real& a)
208 inline std::string & operator << (std::string &s,
const lx_real& a)
222 lx_real
upper_bnd(
const lx_real& x)
noexcept;
225 lx_real
lower_bnd(
const lx_real& x)
noexcept;
227 inline lx_real operator +(
const lx_real &)
noexcept;
230 lx_real operator + (
const lx_real &,
const lx_real &)
noexcept;
232 inline lx_real operator + (
const lx_real&,
const l_real &)
noexcept;
234 inline lx_real operator + (
const l_real&,
const lx_real &)
noexcept;
236 inline lx_real operator + (
const lx_real&,
const real &)
noexcept;
238 inline lx_real operator + (
const real&,
const lx_real &)
noexcept;
241 inline lx_real &
operator +=(lx_real &,
const lx_real &)
noexcept;
248 inline lx_real operator - (
const lx_real &,
const lx_real &)
noexcept;
250 inline lx_real operator - (
const lx_real &,
const l_real &)
noexcept;
252 inline lx_real operator - (
const l_real &,
const lx_real &)
noexcept;
254 inline lx_real operator - (
const lx_real &,
const real &)
noexcept;
256 inline lx_real operator - (
const real &,
const lx_real &)
noexcept;
259 inline lx_real & operator -=(lx_real &,
const lx_real &)
noexcept;
261 inline lx_real & operator -=(lx_real &,
const l_real &)
noexcept;
263 inline lx_real & operator -=(lx_real &,
const real &)
noexcept;
266 lx_real
operator * (
const lx_real &,
const lx_real &)
noexcept;
272 inline lx_real
operator * (
const lx_real&,
const real &)
noexcept;
274 inline lx_real
operator * (
const real&,
const lx_real &)
noexcept;
277 inline lx_real &
operator *=(lx_real &,
const lx_real &)
noexcept;
284 lx_real
operator / (
const lx_real &,
const lx_real &);
290 inline lx_real
operator / (
const lx_real&,
const real &)
noexcept;
292 inline lx_real
operator / (
const real&,
const lx_real &)
noexcept;
295 inline lx_real &
operator /=(lx_real &,
const lx_real &)
noexcept;
302 bool operator == (
const lx_real &,
const lx_real &)
noexcept;
304 inline bool operator == (
const lx_real &,
const l_real &)
noexcept;
306 inline bool operator == (
const l_real &,
const lx_real &)
noexcept;
308 inline bool operator == (
const lx_real &,
const real &)
noexcept;
310 inline bool operator == (
const real &,
const lx_real &)
noexcept;
313 inline bool operator != (
const lx_real &,
const lx_real &)
noexcept;
315 inline bool operator != (
const lx_real &,
const l_real &)
noexcept;
317 inline bool operator != (
const l_real &,
const lx_real &)
noexcept;
319 inline bool operator != (
const lx_real &,
const real &)
noexcept;
321 inline bool operator != (
const real &,
const lx_real &)
noexcept;
324 bool operator > (
const lx_real &,
const lx_real &)
noexcept;
327 inline bool operator <= (
const lx_real &,
const lx_real &)
noexcept;
329 inline bool operator < (
const lx_real &,
const lx_real &)
noexcept;
331 inline bool operator >= (
const lx_real &,
const lx_real &)
noexcept;
334 inline bool operator > (
const real &,
const lx_real &)
noexcept;
336 inline bool operator <= (
const real &,
const lx_real &)
noexcept;
338 inline bool operator < (
const real &,
const lx_real &)
noexcept;
340 inline bool operator >= (
const real &,
const lx_real &)
noexcept;
343 inline bool operator > (
const lx_real &,
const real &)
noexcept;
345 inline bool operator <= (
const lx_real &,
const real &)
noexcept;
347 inline bool operator < (
const lx_real &,
const real &)
noexcept;
349 inline bool operator >= (
const lx_real &,
const real &)
noexcept;
352 inline bool operator > (
const l_real &,
const lx_real &)
noexcept;
354 inline bool operator <= (
const l_real &,
const lx_real &)
noexcept;
356 inline bool operator < (
const l_real &,
const lx_real &)
noexcept;
358 inline bool operator >= (
const l_real &,
const lx_real &)
noexcept;
361 inline bool operator > (
const lx_real &,
const l_real &)
noexcept;
363 inline bool operator <= (
const lx_real &,
const l_real &)
noexcept;
365 inline bool operator < (
const lx_real &,
const l_real &)
noexcept;
367 inline bool operator >= (
const lx_real &,
const l_real &)
noexcept;
370 inline lx_real max(
const lx_real&,
const lx_real&);
372 inline lx_real min(
const lx_real&,
const lx_real&);
464const
real ln_N[180] =
465{6243314768165359.0 / 9007199254740992.0,
466 4947709893870347.0 / 4503599627370496.0,
467 6243314768165359.0 / 4503599627370496.0,
468 7248263982714163.0 / 4503599627370496.0,
469 8069367277953026.0 / 4503599627370496.0,
470 8763600222181975.0 / 4503599627370496.0,
471 4682486076124019.0 / 2251799813685248.0,
472 4947709893870347.0 / 2251799813685248.0,
473 5184960683398422.0 / 2251799813685248.0,
474 5399580128524108.0 / 2251799813685248.0,
475 5595512331017853.0 / 2251799813685248.0,
476 5775752485243985.0 / 2251799813685248.0,
477 5942628803132327.0 / 2251799813685248.0,
478 6097986938292255.0 / 2251799813685248.0,
479 6243314768165359.0 / 2251799813685248.0,
480 6379829280276346.0 / 2251799813685248.0,
481 6508538585911686.0 / 2251799813685248.0,
482 6630287144694572.0 / 2251799813685248.0,
483 6745789375439761.0 / 2251799813685248.0,
484 6855655058026161.0 / 2251799813685248.0,
485 6960408820565448.0 / 2251799813685248.0,
486 7060505291240432.0 / 2251799813685248.0,
487 7156341023059193.0 / 2251799813685248.0,
488 7248263982714163.0 / 2251799813685248.0,
489 7336581177285325.0 / 2251799813685248.0,
490 7421564840805520.0 / 2251799813685248.0,
491 7503457495173667.0 / 2251799813685248.0,
492 7582476122586655.0 / 2251799813685248.0,
493 7658815630333595.0 / 2251799813685248.0,
494 7732651747257178.0 / 2251799813685248.0,
495 7804143460206699.0 / 2251799813685248.0,
496 7873435075459281.0 / 2251799813685248.0,
497 7940657972317686.0 / 2251799813685248.0,
498 8005932102448069.0 / 2251799813685248.0,
499 8069367277953026.0 / 2251799813685248.0,
500 8131064282924989.0 / 2251799813685248.0,
501 8191115836735912.0 / 2251799813685248.0,
502 8249607432179158.0 / 2251799813685248.0,
503 8306618067481101.0 / 2251799813685248.0,
504 8362220887911502.0 / 2251799813685248.0,
505 8416483750067501.0 / 2251799813685248.0,
506 8469469719751697.0 / 2251799813685248.0,
507 8521237512606787.0 / 2251799813685248.0,
508 8571841885227428.0 / 2251799813685248.0,
509 8621333983281772.0 / 2251799813685248.0,
510 8669761652191414.0 / 2251799813685248.0,
511 8717169715100533.0 / 2251799813685248.0,
512 8763600222181975.0 / 2251799813685248.0,
513 8809092674755503.0 / 2251799813685248.0,
514 8853684227211519.0 / 2251799813685248.0,
515 8897409869326665.0 / 2251799813685248.0,
516 8940302591212715.0 / 2251799813685248.0,
517 8982393532846860.0 / 2251799813685248.0,
518 4511856059940595.0 / 1125899906842624.0,
519 4532143093607504.0 / 1125899906842624.0,
520 4552071045814873.0 / 1125899906842624.0,
521 4571652407313997.0 / 1125899906842624.0,
522 4590899028240761.0 / 1125899906842624.0,
523 4609822161187467.0 / 1125899906842624.0,
524 4628432500714509.0 / 1125899906842624.0,
525 4646740219649259.0 / 1125899906842624.0,
526 4664755002480667.0 / 1125899906842624.0,
527 4682486076124019.0 / 1125899906842624.0,
528 4699942238300533.0 / 1125899906842624.0,
529 4717131883750310.0 / 1125899906842624.0,
530 4734063028474157.0 / 1125899906842624.0,
531 4750743332179513.0 / 1125899906842624.0,
532 4767180119087803.0 / 1125899906842624.0,
533 4783380397244705.0 / 1125899906842624.0,
534 4799350876460745.0 / 1125899906842624.0,
535 4815097984997183.0 / 1125899906842624.0,
536 4830627885101030.0 / 1125899906842624.0,
537 4845946487483165.0 / 1125899906842624.0,
538 4861059464824668.0 / 1125899906842624.0,
539 4875972264388626.0 / 1125899906842624.0,
540 4890690119807548.0 / 1125899906842624.0,
541 4905218062110249.0 / 1125899906842624.0,
542 4919560930046323.0 / 1125899906842624.0,
543 4933723379761220.0 / 1125899906842624.0,
544 4947709893870347.0 / 1125899906842624.0,
545 4961524789976421.0 / 1125899906842624.0,
546 4975172228670594.0 / 1125899906842624.0,
547 4988656221054420.0 / 1125899906842624.0,
548 5001980635816714.0 / 1125899906842624.0,
549 5015149205896518.0 / 1125899906842624.0,
550 5028165534760914.0 / 1125899906842624.0,
551 5041033102324064.0 / 1125899906842624.0,
552 5053755270531830.0 / 1125899906842624.0,
553 5066335288634384.0 / 1125899906842624.0,
554 5078776298167486.0 / 1125899906842624.0,
555 5091081337661556.0 / 1125899906842624.0,
556 5103253347096176.0 / 1125899906842624.0,
557 5115295172116377.0 / 1125899906842624.0,
558 5127209568025827.0 / 1125899906842624.0,
559 5138999203570936.0 / 1125899906842624.0,
560 5150666664528888.0 / 1125899906842624.0,
561 5162214457111658.0 / 1125899906842624.0,
562 5173645011197227.0 / 1125899906842624.0,
563 5184960683398422.0 / 1125899906842624.0,
564 5196163759979057.0 / 1125899906842624.0,
565 5207256459626429.0 / 1125899906842624.0,
566 5218240936088556.0 / 1125899906842624.0,
567 5229119280684002.0 / 1125899906842624.0,
568 5239893524691621.0 / 1125899906842624.0,
569 5250565641627027.0 / 1125899906842624.0,
570 5261137549412187.0 / 1125899906842624.0,
571 5271611112444100.0 / 1125899906842624.0,
572 5281988143568134.0 / 1125899906842624.0,
573 5292270405961265.0 / 1125899906842624.0,
574 5302459614930081.0 / 1125899906842624.0,
575 5312557439628173.0 / 1125899906842624.0,
576 5322565504697180.0 / 1125899906842624.0,
577 5332485391835543.0 / 1125899906842624.0,
578 5342318641298757.0 / 1125899906842624.0,
579 5352066753334667.0 / 1125899906842624.0,
580 5361731189557166.0 / 1125899906842624.0,
581 5371313374261431.0 / 1125899906842624.0,
582 5380814695683667.0 / 1125899906842624.0,
583 5390236507208137.0 / 1125899906842624.0,
584 5399580128524108.0 / 1125899906842624.0,
585 5408846846735179.0 / 1125899906842624.0,
586 5418037917423337.0 / 1125899906842624.0,
587 5427154565669929.0 / 1125899906842624.0,
588 5436197987035623.0 / 1125899906842624.0,
589 5445169348501337.0 / 1125899906842624.0,
590 5454069789371970.0 / 1125899906842624.0,
591 5462900422144689.0 / 1125899906842624.0,
592 5471662333343435.0 / 1125899906842624.0,
593 5480356584321203.0 / 1125899906842624.0,
594 5488984212031586.0 / 1125899906842624.0,
595 5497546229770980.0 / 1125899906842624.0,
596 5506043627892780.0 / 1125899906842624.0,
597 5514477374494827.0 / 1125899906842624.0,
598 5522848416081301.0 / 1125899906842624.0,
599 5531157678200183.0 / 1125899906842624.0,
600 5539406066057373.0 / 1125899906842624.0,
601 5547594465108473.0 / 1125899906842624.0,
602 5555723741629202.0 / 1125899906842624.0,
603 5563794743265374.0 / 1125899906842624.0,
604 5571808299563294.0 / 1125899906842624.0,
605 5579765222481415.0 / 1125899906842624.0,
606 5587666306884046.0 / 1125899906842624.0,
607 5595512331017853.0 / 1125899906842624.0,
608 5603304056971868.0 / 1125899906842624.0,
609 5611042231121700.0 / 1125899906842624.0,
610 5618727584558574.0 / 1125899906842624.0,
611 5626360833503834.0 / 1125899906842624.0,
612 5633942679709485.0 / 1125899906842624.0,
613 5641473810845338.0 / 1125899906842624.0,
614 5648954900873299.0 / 1125899906842624.0,
615 5656386610409296.0 / 1125899906842624.0,
616 5663769587073346.0 / 1125899906842624.0,
617 5671104465828218.0 / 1125899906842624.0,
618 5678391869307130.0 / 1125899906842624.0,
619 5685632408130919.0 / 1125899906842624.0,
620 5692826681215068.0 / 1125899906842624.0,
621 5699975276066993.0 / 1125899906842624.0,
622 5707078769073944.0 / 1125899906842624.0,
623 5714137725781890.0 / 1125899906842624.0,
624 5721152701165710.0 / 1125899906842624.0,
625 5728124239891016.0 / 1125899906842624.0,
626 5735052876567931.0 / 1125899906842624.0,
627 5741939135997091.0 / 1125899906842624.0,
628 5748783533408181.0 / 1125899906842624.0,
629 5755586574691264.0 / 1125899906842624.0,
630 5762348756621151.0 / 1125899906842624.0,
631 5769070567075090.0 / 1125899906842624.0,
632 5775752485243985.0 / 1125899906842624.0,
633 5782394981837384.0 / 1125899906842624.0,
634 5788998519282460.0 / 1125899906842624.0,
635 5795563551917188.0 / 1125899906842624.0,
636 5802090526177927.0 / 1125899906842624.0,
637 5808579880781584.0 / 1125899906842624.0,
638 5815032046902576.0 / 1125899906842624.0,
639 5821447448344733.0 / 1125899906842624.0,
640 5827826501708347.0 / 1125899906842624.0,
641 5834169616552500.0 / 1125899906842624.0,
642 5840477195552856.0 / 1125899906842624.0,
643 5846749634655054.0 / 1125899906842624.0,
644 5852987323223851.0 / 1125899906842624.0};
651 lx_real
sqrt(
const lx_real&)
noexcept;
653 lx_real
sqr(
const lx_real&)
noexcept;
655 lx_real
ln(
const lx_real &)
noexcept;
657 lx_real
log2(
const lx_real &)
noexcept;
659 lx_real
log10(
const lx_real &)
noexcept;
661 lx_real
lnp1(
const lx_real &)
noexcept;
663 lx_real
exp(
const lx_real &)
noexcept;
665 lx_real
exp2(
const lx_real &)
noexcept;
667 lx_real
exp10(
const lx_real &)
noexcept;
669 lx_real
expm1(
const lx_real &x)
noexcept;
671 lx_real
power(
const lx_real &,
const real &)
noexcept;
673 lx_real
pow(
const lx_real &,
const lx_real &)
noexcept;
675 lx_real
xp1_pow_y(
const lx_real &,
const lx_real &)
noexcept;
677 lx_real
sin(
const lx_real &)
throw();
679 lx_real
sin_n(
const lx_real &x,
const real& n)
noexcept;
681 lx_real
cos(
const lx_real &)
noexcept;
683 lx_real
cos_n(
const lx_real &x,
const real& n)
noexcept;
685 lx_real
tan(
const lx_real &)
noexcept;
687 lx_real
cot(
const lx_real &)
noexcept;
689 lx_real
sqrt1px2(
const lx_real &)
noexcept;
691 lx_real
atan(
const lx_real &)
noexcept;
693 lx_real
sqrt1mx2(
const lx_real &)
noexcept;
695 lx_real
sqrtx2m1(
const lx_real &)
noexcept;
697 lx_real
asin(
const lx_real & )
noexcept;
699 lx_real
acos(
const lx_real &)
noexcept;
701 lx_real
acot(
const lx_real &)
noexcept;
703 lx_real
sinh(
const lx_real &)
noexcept;
705 lx_real
cosh(
const lx_real &)
noexcept;
707 lx_real
tanh(
const lx_real &)
noexcept;
709 lx_real
coth(
const lx_real &)
noexcept;
711 lx_real
sqrtp1m1(
const lx_real &)
noexcept;
713 lx_real
asinh(
const lx_real &)
noexcept;
715 lx_real
acosh(
const lx_real &)
noexcept;
717 lx_real
acoshp1(
const lx_real &)
noexcept;
719 lx_real
atanh(
const lx_real &)
noexcept;
721 lx_real
atanh1m(
const lx_real &)
noexcept;
723 lx_real
atanhm1p(
const lx_real &)
noexcept;
725 lx_real
acoth(
const lx_real &)
noexcept;
727 lx_real
acothp1(
const lx_real &)
noexcept;
729 lx_real
acothm1m(
const lx_real &)
noexcept;
731 lx_real
sqrtx2y2(
const lx_real &,
const lx_real &)
noexcept;
733 lx_real
ln_sqrtx2y2(
const lx_real &,
const lx_real &)
noexcept;
735 lx_real
sqrt(
const lx_real &,
int)
noexcept;
739#include "lx_real.inl"
The Multiple-Precision Data Type l_real.
The namespace cxsc, providing all functionality of the class library C-XSC.
cinterval sqrtp1m1(const cinterval &z) noexcept
Calculates .
cinterval exp2(const cinterval &z) noexcept
Calculates .
cinterval sqrt1mx2(const cinterval &z) noexcept
Calculates .
lx_real LnPi_lx_real() noexcept
lx_real approximation for
cinterval asinh(const cinterval &z) noexcept
Calculates .
lx_real One_m_lx_real() noexcept
lx_real approximation for
lx_real Er_lx_real() noexcept
lx_real approximation for
cinterval coth(const cinterval &z) noexcept
Calculates .
lx_real Sqrt3r_lx_real() noexcept
lx_real approximation for
lx_real SqrtPir_lx_real() noexcept
lx_real approximation for
cdotprecision & operator+=(cdotprecision &cd, const l_complex &lc) noexcept
Implementation of standard algebraic addition and allocation operation.
lx_real E_lx_real() noexcept
lx_real approximation for
cinterval log2(const cinterval &z) noexcept
Calculates .
lx_real EulerGamma_lx_real() noexcept
lx_real approximation for
cinterval power(const cinterval &z, int n) noexcept
Calculates .
cinterval log10(const cinterval &z) noexcept
Calculates .
lx_real Ln2r_lx_real() noexcept
lx_real approximation for
lx_interval cos_n(const lx_interval &x, const real &n) noexcept
Calculates .
lx_real sqrt5_lx_real() noexcept
lx_real approximation for
cinterval ln(const cinterval &z) noexcept
Calculates .
lx_real One_p_lx_real() noexcept
lx_real approximation for
lx_interval acothp1(const lx_interval &x) noexcept
Calculates .
bool Is_Integer(const real &x)
Returns 1 if x is an integer value and if .
civector operator/(const cimatrix_subv &rv, const cinterval &s) noexcept
Implementation of division operation.
lx_real Sqrt3d2_lx_real() noexcept
lx_real approximation for
lx_real EpPid2_lx_real() noexcept
lx_real approximation for
lx_real Sqrt2Pir_lx_real() noexcept
lx_real approximation for
cinterval pow(const cinterval &z, const interval &p) noexcept
Calculates .
lx_real EpPi_lx_real() noexcept
lx_real approximation for
lx_real upper_bnd(const lx_real &x) noexcept
Returns a rather small upper bound of x.
cinterval sinh(const cinterval &z) noexcept
Calculates .
lx_interval atanh1m(const lx_interval &x) noexcept
Calculates .
lx_real Pi2_lx_real() noexcept
lx_real approximation for
cinterval asin(const cinterval &z) noexcept
Calculates .
interval acoshp1(const interval &x)
Calculates .
lx_real Pi2r_lx_real() noexcept
lx_real approximation for
cinterval tan(const cinterval &z) noexcept
Calculates .
lx_real Ln2_lx_real() noexcept
lx_real approximation for
cinterval exp10(const cinterval &z) noexcept
Calculates .
lx_real Sqrt2Pi_lx_real() noexcept
lx_real approximation for
lx_real Pir_lx_real() noexcept
lx_real approximation for
lx_real Pid2_lx_real() noexcept
lx_real approximation for
lx_real Pid3_lx_real() noexcept
lx_real approximation for
lx_real Pid4_lx_real() noexcept
lx_real approximation for
lx_real Ln10r_lx_real() noexcept
lx_real approximation for
cinterval acos(const cinterval &z) noexcept
Calculates .
cinterval sqrtx2m1(const cinterval &z) noexcept
Calculates .
real cutint(const real &x) noexcept
Returns the truncated integer part of x.
cinterval acosh(const cinterval &z) noexcept
Calculates .
lx_real Ln10_lx_real() noexcept
lx_real approximation for
lx_interval sin_n(const lx_interval &x, const real &n) noexcept
Calculates .
cinterval cosh(const cinterval &z) noexcept
Calculates .
lx_real Sqrt2r_lx_real() noexcept
lx_real approximation for
cinterval cos(const cinterval &z) noexcept
Calculates .
real add_real(const real &a, const real &b) noexcept
Returns a,b must be integers with .
lx_real Catalan_lx_real() noexcept
lx_real approximation for
lx_real Sqrt2_lx_real() noexcept
lx_real approximation for
lx_real Ep2_lx_real() noexcept
lx_real approximation for
cinterval sqrt1px2(const cinterval &z) noexcept
Calculates .
lx_real lower_bnd(const lx_real &x) noexcept
Returns a rather great lower bound of x.
cinterval exp(const cinterval &z) noexcept
Calculates .
lx_real Ep2Pi_lx_real() noexcept
lx_real approximation for
real sub_real(const real &a, const real &b) noexcept
Returns a,b must be integers with .
cinterval tanh(const cinterval &z) noexcept
Calculates .
interval ln_sqrtx2y2(const interval &x, const interval &y) noexcept
Calculates .
cimatrix & operator*=(cimatrix &m, const cinterval &c) noexcept
Implementation of multiplication and allocation operation.
lx_real Pip2_lx_real() noexcept
lx_real approximation for
cinterval expm1(const cinterval &z) noexcept
Calculates .
cinterval cot(const cinterval &z) noexcept
Calculates .
lx_real SqrtPi_lx_real() noexcept
lx_real approximation for
ivector abs(const cimatrix_subv &mv) noexcept
Returns the absolute value of the matrix.
cinterval sqrt(const cinterval &z) noexcept
Calculates .
cinterval acot(const cinterval &z) noexcept
Calculates .
void times2pown(cinterval &x, int n) noexcept
Fast multiplication of reference parameter [z] with .
cinterval sqr(const cinterval &z) noexcept
Calculates .
lx_interval atanhm1p(const lx_interval &x) noexcept
Calculates .
lx_real EpPid4_lx_real() noexcept
lx_real approximation for
cinterval lnp1(const cinterval &z) noexcept
Calculates .
civector operator*(const cimatrix_subv &rv, const cinterval &s) noexcept
Implementation of multiplication operation.
cinterval atan(const cinterval &z) noexcept
Calculates .
cinterval atanh(const cinterval &z) noexcept
Calculates .
lx_interval acothm1m(const lx_interval &x) noexcept
Calculates .
lx_real Sqrt3_lx_real() noexcept
lx_real approximation for
cinterval acoth(const cinterval &z) noexcept
Calculates .
interval sqrtx2y2(const interval &x, const interval &y) noexcept
Calculates .
lx_real Pi_lx_real() noexcept
lx_real approximation for
lx_real Ln2Pi_lx_real() noexcept
lx_real approximation for
lx_interval xp1_pow_y(const lx_interval &x, const lx_interval &y) noexcept
Calculates .
cinterval sin(const cinterval &z) noexcept
Calculates .
lx_real Ep2r_lx_real() noexcept
lx_real approximation for
cimatrix & operator/=(cimatrix &m, const cinterval &c) noexcept
Implementation of division and allocation operation.
lx_real sqrt7_lx_real() noexcept
lx_real approximation for