#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "NMSE Section 6.1 mentioned, A";

double f_if(float x, float eps) {
        float r24624 = 1;
        float r24625 = eps;
        float r24626 = r24624 / r24625;
        float r24627 = r24624 + r24626;
        float r24628 = r24624 - r24625;
        float r24629 = x;
        float r24630 = r24628 * r24629;
        float r24631 = -r24630;
        float r24632 = exp(r24631);
        float r24633 = r24627 * r24632;
        float r24634 = r24626 - r24624;
        float r24635 = r24624 + r24625;
        float r24636 = r24635 * r24629;
        float r24637 = -r24636;
        float r24638 = exp(r24637);
        float r24639 = r24634 * r24638;
        float r24640 = r24633 - r24639;
        float r24641 = 2;
        float r24642 = r24640 / r24641;
        return r24642;
}

double f_id(double x, double eps) {
        double r24643 = 1;
        double r24644 = eps;
        double r24645 = r24643 / r24644;
        double r24646 = r24643 + r24645;
        double r24647 = r24643 - r24644;
        double r24648 = x;
        double r24649 = r24647 * r24648;
        double r24650 = -r24649;
        double r24651 = exp(r24650);
        double r24652 = r24646 * r24651;
        double r24653 = r24645 - r24643;
        double r24654 = r24643 + r24644;
        double r24655 = r24654 * r24648;
        double r24656 = -r24655;
        double r24657 = exp(r24656);
        double r24658 = r24653 * r24657;
        double r24659 = r24652 - r24658;
        double r24660 = 2;
        double r24661 = r24659 / r24660;
        return r24661;
}


double f_of(float x, float eps) {
        float r24662 = x;
        float r24663 = eps;
        float r24664 = r24662 * r24663;
        float r24665 = exp(r24664);
        float r24666 = exp(r24662);
        float r24667 = r24663 * r24666;
        float r24668 = r24665 / r24667;
        float r24669 = 1;
        float r24670 = r24669 / r24663;
        float r24671 = r24670 - r24669;
        float r24672 = fma(r24662, r24663, r24662);
        float r24673 = exp(r24672);
        float r24674 = r24671 / r24673;
        float r24675 = r24668 - r24674;
        float r24676 = r24664 - r24662;
        float r24677 = exp(r24676);
        float r24678 = r24675 + r24677;
        float r24679 = 2;
        float r24680 = r24678 / r24679;
        float r24681 = 1.1619992041523136e-169;
        bool r24682 = r24680 <= r24681;
        float r24683 = 1.0000000388199954;
        bool r24684 = r24680 <= r24683;
        float r24685 = 2/3;
        float r24686 = 3;
        float r24687 = pow(r24662, r24686);
        float r24688 = r24685 * r24687;
        float r24689 = r24679 + r24688;
        float r24690 = pow(r24662, r24679);
        float r24691 = r24689 - r24690;
        float r24692 = expm1(r24691);
        float r24693 = cbrt(r24692);
        float r24694 = r24693 * r24693;
        float r24695 = r24694 * r24693;
        float r24696 = log1p(r24695);
        float r24697 = r24696 / r24679;
        float r24698 = r24669 + r24670;
        float r24699 = r24669 - r24663;
        float r24700 = r24699 * r24662;
        float r24701 = -r24700;
        float r24702 = exp(r24701);
        float r24703 = r24698 * r24702;
        float r24704 = sqrt(r24703);
        float r24705 = r24704 * r24704;
        float r24706 = r24669 + r24663;
        float r24707 = r24706 * r24662;
        float r24708 = -r24707;
        float r24709 = exp(r24708);
        float r24710 = r24671 * r24709;
        float r24711 = r24705 - r24710;
        float r24712 = r24711 / r24679;
        float r24713 = r24684 ? r24697 : r24712;
        float r24714 = r24682 ? r24680 : r24713;
        return r24714;
}

double f_od(double x, double eps) {
        double r24715 = x;
        double r24716 = eps;
        double r24717 = r24715 * r24716;
        double r24718 = exp(r24717);
        double r24719 = exp(r24715);
        double r24720 = r24716 * r24719;
        double r24721 = r24718 / r24720;
        double r24722 = 1;
        double r24723 = r24722 / r24716;
        double r24724 = r24723 - r24722;
        double r24725 = fma(r24715, r24716, r24715);
        double r24726 = exp(r24725);
        double r24727 = r24724 / r24726;
        double r24728 = r24721 - r24727;
        double r24729 = r24717 - r24715;
        double r24730 = exp(r24729);
        double r24731 = r24728 + r24730;
        double r24732 = 2;
        double r24733 = r24731 / r24732;
        double r24734 = 1.1619992041523136e-169;
        bool r24735 = r24733 <= r24734;
        double r24736 = 1.0000000388199954;
        bool r24737 = r24733 <= r24736;
        double r24738 = 2/3;
        double r24739 = 3;
        double r24740 = pow(r24715, r24739);
        double r24741 = r24738 * r24740;
        double r24742 = r24732 + r24741;
        double r24743 = pow(r24715, r24732);
        double r24744 = r24742 - r24743;
        double r24745 = expm1(r24744);
        double r24746 = cbrt(r24745);
        double r24747 = r24746 * r24746;
        double r24748 = r24747 * r24746;
        double r24749 = log1p(r24748);
        double r24750 = r24749 / r24732;
        double r24751 = r24722 + r24723;
        double r24752 = r24722 - r24716;
        double r24753 = r24752 * r24715;
        double r24754 = -r24753;
        double r24755 = exp(r24754);
        double r24756 = r24751 * r24755;
        double r24757 = sqrt(r24756);
        double r24758 = r24757 * r24757;
        double r24759 = r24722 + r24716;
        double r24760 = r24759 * r24715;
        double r24761 = -r24760;
        double r24762 = exp(r24761);
        double r24763 = r24724 * r24762;
        double r24764 = r24758 - r24763;
        double r24765 = r24764 / r24732;
        double r24766 = r24737 ? r24750 : r24765;
        double r24767 = r24735 ? r24733 : r24766;
        return r24767;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r24768, r24769, r24770, r24771, r24772, r24773, r24774, r24775, r24776, r24777, r24778, r24779, r24780, r24781, r24782, r24783, r24784, r24785, r24786;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r24768, "1", 10, MPFR_RNDN);
        mpfr_init(r24769);
        mpfr_init(r24770);
        mpfr_init(r24771);
        mpfr_init(r24772);
        mpfr_init(r24773);
        mpfr_init(r24774);
        mpfr_init(r24775);
        mpfr_init(r24776);
        mpfr_init(r24777);
        mpfr_init(r24778);
        mpfr_init(r24779);
        mpfr_init(r24780);
        mpfr_init(r24781);
        mpfr_init(r24782);
        mpfr_init(r24783);
        mpfr_init(r24784);
        mpfr_init_set_str(r24785, "2", 10, MPFR_RNDN);
        mpfr_init(r24786);
}

double f_im(double x, double eps) {
        ;
        mpfr_set_d(r24769, eps, MPFR_RNDN);
        mpfr_div(r24770, r24768, r24769, MPFR_RNDN);
        mpfr_add(r24771, r24768, r24770, MPFR_RNDN);
        mpfr_sub(r24772, r24768, r24769, MPFR_RNDN);
        mpfr_set_d(r24773, x, MPFR_RNDN);
        mpfr_mul(r24774, r24772, r24773, MPFR_RNDN);
        mpfr_neg(r24775, r24774, MPFR_RNDN);
        mpfr_exp(r24776, r24775, MPFR_RNDN);
        mpfr_mul(r24777, r24771, r24776, MPFR_RNDN);
        mpfr_sub(r24778, r24770, r24768, MPFR_RNDN);
        mpfr_add(r24779, r24768, r24769, MPFR_RNDN);
        mpfr_mul(r24780, r24779, r24773, MPFR_RNDN);
        mpfr_neg(r24781, r24780, MPFR_RNDN);
        mpfr_exp(r24782, r24781, MPFR_RNDN);
        mpfr_mul(r24783, r24778, r24782, MPFR_RNDN);
        mpfr_sub(r24784, r24777, r24783, MPFR_RNDN);
        ;
        mpfr_div(r24786, r24784, r24785, MPFR_RNDN);
        return mpfr_get_d(r24786, MPFR_RNDN);
}

static mpfr_t r24787, r24788, r24789, r24790, r24791, r24792, r24793, r24794, r24795, r24796, r24797, r24798, r24799, r24800, r24801, r24802, r24803, r24804, r24805, r24806, r24807, r24808, r24809, r24810, r24811, r24812, r24813, r24814, r24815, r24816, r24817, r24818, r24819, r24820, r24821, r24822, r24823, r24824, r24825, r24826, r24827, r24828, r24829, r24830, r24831, r24832, r24833, r24834, r24835, r24836, r24837, r24838, r24839;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r24787);
        mpfr_init(r24788);
        mpfr_init(r24789);
        mpfr_init(r24790);
        mpfr_init(r24791);
        mpfr_init(r24792);
        mpfr_init(r24793);
        mpfr_init_set_str(r24794, "1", 10, MPFR_RNDN);
        mpfr_init(r24795);
        mpfr_init(r24796);
        mpfr_init(r24797);
        mpfr_init(r24798);
        mpfr_init(r24799);
        mpfr_init(r24800);
        mpfr_init(r24801);
        mpfr_init(r24802);
        mpfr_init(r24803);
        mpfr_init_set_str(r24804, "2", 10, MPFR_RNDN);
        mpfr_init(r24805);
        mpfr_init_set_str(r24806, "1.1619992041523136e-169", 10, MPFR_RNDN);
        mpfr_init(r24807);
        mpfr_init_set_str(r24808, "1.0000000388199954", 10, MPFR_RNDN);
        mpfr_init(r24809);
        mpfr_init_set_str(r24810, "2/3", 10, MPFR_RNDN);
        mpfr_init_set_str(r24811, "3", 10, MPFR_RNDN);
        mpfr_init(r24812);
        mpfr_init(r24813);
        mpfr_init(r24814);
        mpfr_init(r24815);
        mpfr_init(r24816);
        mpfr_init(r24817);
        mpfr_init(r24818);
        mpfr_init(r24819);
        mpfr_init(r24820);
        mpfr_init(r24821);
        mpfr_init(r24822);
        mpfr_init(r24823);
        mpfr_init(r24824);
        mpfr_init(r24825);
        mpfr_init(r24826);
        mpfr_init(r24827);
        mpfr_init(r24828);
        mpfr_init(r24829);
        mpfr_init(r24830);
        mpfr_init(r24831);
        mpfr_init(r24832);
        mpfr_init(r24833);
        mpfr_init(r24834);
        mpfr_init(r24835);
        mpfr_init(r24836);
        mpfr_init(r24837);
        mpfr_init(r24838);
        mpfr_init(r24839);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r24787, x, MPFR_RNDN);
        mpfr_set_d(r24788, eps, MPFR_RNDN);
        mpfr_mul(r24789, r24787, r24788, MPFR_RNDN);
        mpfr_exp(r24790, r24789, MPFR_RNDN);
        mpfr_exp(r24791, r24787, MPFR_RNDN);
        mpfr_mul(r24792, r24788, r24791, MPFR_RNDN);
        mpfr_div(r24793, r24790, r24792, MPFR_RNDN);
        ;
        mpfr_div(r24795, r24794, r24788, MPFR_RNDN);
        mpfr_sub(r24796, r24795, r24794, MPFR_RNDN);
        mpfr_fma(r24797, r24787, r24788, r24787, MPFR_RNDN);
        mpfr_exp(r24798, r24797, MPFR_RNDN);
        mpfr_div(r24799, r24796, r24798, MPFR_RNDN);
        mpfr_sub(r24800, r24793, r24799, MPFR_RNDN);
        mpfr_sub(r24801, r24789, r24787, MPFR_RNDN);
        mpfr_exp(r24802, r24801, MPFR_RNDN);
        mpfr_add(r24803, r24800, r24802, MPFR_RNDN);
        ;
        mpfr_div(r24805, r24803, r24804, MPFR_RNDN);
        ;
        mpfr_set_si(r24807, mpfr_cmp(r24805, r24806) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r24809, mpfr_cmp(r24805, r24808) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r24812, r24787, r24811, MPFR_RNDN);
        mpfr_mul(r24813, r24810, r24812, MPFR_RNDN);
        mpfr_add(r24814, r24804, r24813, MPFR_RNDN);
        mpfr_pow(r24815, r24787, r24804, MPFR_RNDN);
        mpfr_sub(r24816, r24814, r24815, MPFR_RNDN);
        mpfr_expm1(r24817, r24816, MPFR_RNDN);
        mpfr_cbrt(r24818, r24817, MPFR_RNDN);
        mpfr_mul(r24819, r24818, r24818, MPFR_RNDN);
        mpfr_mul(r24820, r24819, r24818, MPFR_RNDN);
        mpfr_log1p(r24821, r24820, MPFR_RNDN);
        mpfr_div(r24822, r24821, r24804, MPFR_RNDN);
        mpfr_add(r24823, r24794, r24795, MPFR_RNDN);
        mpfr_sub(r24824, r24794, r24788, MPFR_RNDN);
        mpfr_mul(r24825, r24824, r24787, MPFR_RNDN);
        mpfr_neg(r24826, r24825, MPFR_RNDN);
        mpfr_exp(r24827, r24826, MPFR_RNDN);
        mpfr_mul(r24828, r24823, r24827, MPFR_RNDN);
        mpfr_sqrt(r24829, r24828, MPFR_RNDN);
        mpfr_mul(r24830, r24829, r24829, MPFR_RNDN);
        mpfr_add(r24831, r24794, r24788, MPFR_RNDN);
        mpfr_mul(r24832, r24831, r24787, MPFR_RNDN);
        mpfr_neg(r24833, r24832, MPFR_RNDN);
        mpfr_exp(r24834, r24833, MPFR_RNDN);
        mpfr_mul(r24835, r24796, r24834, MPFR_RNDN);
        mpfr_sub(r24836, r24830, r24835, MPFR_RNDN);
        mpfr_div(r24837, r24836, r24804, MPFR_RNDN);
        if (mpfr_get_si(r24809, MPFR_RNDN)) { mpfr_set(r24838, r24822, MPFR_RNDN); } else { mpfr_set(r24838, r24837, MPFR_RNDN); };
        if (mpfr_get_si(r24807, MPFR_RNDN)) { mpfr_set(r24839, r24805, MPFR_RNDN); } else { mpfr_set(r24839, r24838, MPFR_RNDN); };
        return mpfr_get_d(r24839, MPFR_RNDN);
}

static mpfr_t r24840, r24841, r24842, r24843, r24844, r24845, r24846, r24847, r24848, r24849, r24850, r24851, r24852, r24853, r24854, r24855, r24856, r24857, r24858, r24859, r24860, r24861, r24862, r24863, r24864, r24865, r24866, r24867, r24868, r24869, r24870, r24871, r24872, r24873, r24874, r24875, r24876, r24877, r24878, r24879, r24880, r24881, r24882, r24883, r24884, r24885, r24886, r24887, r24888, r24889, r24890, r24891, r24892;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r24840);
        mpfr_init(r24841);
        mpfr_init(r24842);
        mpfr_init(r24843);
        mpfr_init(r24844);
        mpfr_init(r24845);
        mpfr_init(r24846);
        mpfr_init_set_str(r24847, "1", 10, MPFR_RNDN);
        mpfr_init(r24848);
        mpfr_init(r24849);
        mpfr_init(r24850);
        mpfr_init(r24851);
        mpfr_init(r24852);
        mpfr_init(r24853);
        mpfr_init(r24854);
        mpfr_init(r24855);
        mpfr_init(r24856);
        mpfr_init_set_str(r24857, "2", 10, MPFR_RNDN);
        mpfr_init(r24858);
        mpfr_init_set_str(r24859, "1.1619992041523136e-169", 10, MPFR_RNDN);
        mpfr_init(r24860);
        mpfr_init_set_str(r24861, "1.0000000388199954", 10, MPFR_RNDN);
        mpfr_init(r24862);
        mpfr_init_set_str(r24863, "2/3", 10, MPFR_RNDN);
        mpfr_init_set_str(r24864, "3", 10, MPFR_RNDN);
        mpfr_init(r24865);
        mpfr_init(r24866);
        mpfr_init(r24867);
        mpfr_init(r24868);
        mpfr_init(r24869);
        mpfr_init(r24870);
        mpfr_init(r24871);
        mpfr_init(r24872);
        mpfr_init(r24873);
        mpfr_init(r24874);
        mpfr_init(r24875);
        mpfr_init(r24876);
        mpfr_init(r24877);
        mpfr_init(r24878);
        mpfr_init(r24879);
        mpfr_init(r24880);
        mpfr_init(r24881);
        mpfr_init(r24882);
        mpfr_init(r24883);
        mpfr_init(r24884);
        mpfr_init(r24885);
        mpfr_init(r24886);
        mpfr_init(r24887);
        mpfr_init(r24888);
        mpfr_init(r24889);
        mpfr_init(r24890);
        mpfr_init(r24891);
        mpfr_init(r24892);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r24840, x, MPFR_RNDN);
        mpfr_set_d(r24841, eps, MPFR_RNDN);
        mpfr_mul(r24842, r24840, r24841, MPFR_RNDN);
        mpfr_exp(r24843, r24842, MPFR_RNDN);
        mpfr_exp(r24844, r24840, MPFR_RNDN);
        mpfr_mul(r24845, r24841, r24844, MPFR_RNDN);
        mpfr_div(r24846, r24843, r24845, MPFR_RNDN);
        ;
        mpfr_div(r24848, r24847, r24841, MPFR_RNDN);
        mpfr_sub(r24849, r24848, r24847, MPFR_RNDN);
        mpfr_fma(r24850, r24840, r24841, r24840, MPFR_RNDN);
        mpfr_exp(r24851, r24850, MPFR_RNDN);
        mpfr_div(r24852, r24849, r24851, MPFR_RNDN);
        mpfr_sub(r24853, r24846, r24852, MPFR_RNDN);
        mpfr_sub(r24854, r24842, r24840, MPFR_RNDN);
        mpfr_exp(r24855, r24854, MPFR_RNDN);
        mpfr_add(r24856, r24853, r24855, MPFR_RNDN);
        ;
        mpfr_div(r24858, r24856, r24857, MPFR_RNDN);
        ;
        mpfr_set_si(r24860, mpfr_cmp(r24858, r24859) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r24862, mpfr_cmp(r24858, r24861) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r24865, r24840, r24864, MPFR_RNDN);
        mpfr_mul(r24866, r24863, r24865, MPFR_RNDN);
        mpfr_add(r24867, r24857, r24866, MPFR_RNDN);
        mpfr_pow(r24868, r24840, r24857, MPFR_RNDN);
        mpfr_sub(r24869, r24867, r24868, MPFR_RNDN);
        mpfr_expm1(r24870, r24869, MPFR_RNDN);
        mpfr_cbrt(r24871, r24870, MPFR_RNDN);
        mpfr_mul(r24872, r24871, r24871, MPFR_RNDN);
        mpfr_mul(r24873, r24872, r24871, MPFR_RNDN);
        mpfr_log1p(r24874, r24873, MPFR_RNDN);
        mpfr_div(r24875, r24874, r24857, MPFR_RNDN);
        mpfr_add(r24876, r24847, r24848, MPFR_RNDN);
        mpfr_sub(r24877, r24847, r24841, MPFR_RNDN);
        mpfr_mul(r24878, r24877, r24840, MPFR_RNDN);
        mpfr_neg(r24879, r24878, MPFR_RNDN);
        mpfr_exp(r24880, r24879, MPFR_RNDN);
        mpfr_mul(r24881, r24876, r24880, MPFR_RNDN);
        mpfr_sqrt(r24882, r24881, MPFR_RNDN);
        mpfr_mul(r24883, r24882, r24882, MPFR_RNDN);
        mpfr_add(r24884, r24847, r24841, MPFR_RNDN);
        mpfr_mul(r24885, r24884, r24840, MPFR_RNDN);
        mpfr_neg(r24886, r24885, MPFR_RNDN);
        mpfr_exp(r24887, r24886, MPFR_RNDN);
        mpfr_mul(r24888, r24849, r24887, MPFR_RNDN);
        mpfr_sub(r24889, r24883, r24888, MPFR_RNDN);
        mpfr_div(r24890, r24889, r24857, MPFR_RNDN);
        if (mpfr_get_si(r24862, MPFR_RNDN)) { mpfr_set(r24891, r24875, MPFR_RNDN); } else { mpfr_set(r24891, r24890, MPFR_RNDN); };
        if (mpfr_get_si(r24860, MPFR_RNDN)) { mpfr_set(r24892, r24858, MPFR_RNDN); } else { mpfr_set(r24892, r24891, MPFR_RNDN); };
        return mpfr_get_d(r24892, MPFR_RNDN);
}