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

char *name = "Toniolo and Linder, Equation (3a)";

double f_if(float l, float Om, float kx, float ky) {
        float r24601 = 1;
        float r24602 = 2;
        float r24603 = r24601 / r24602;
        float r24604 = l;
        float r24605 = r24602 * r24604;
        float r24606 = Om;
        float r24607 = r24605 / r24606;
        float r24608 = pow(r24607, r24602);
        float r24609 = kx;
        float r24610 = sin(r24609);
        float r24611 = pow(r24610, r24602);
        float r24612 = ky;
        float r24613 = sin(r24612);
        float r24614 = pow(r24613, r24602);
        float r24615 = r24611 + r24614;
        float r24616 = r24608 * r24615;
        float r24617 = r24601 + r24616;
        float r24618 = sqrt(r24617);
        float r24619 = r24601 / r24618;
        float r24620 = r24601 + r24619;
        float r24621 = r24603 * r24620;
        float r24622 = sqrt(r24621);
        return r24622;
}

double f_id(double l, double Om, double kx, double ky) {
        double r24623 = 1;
        double r24624 = 2;
        double r24625 = r24623 / r24624;
        double r24626 = l;
        double r24627 = r24624 * r24626;
        double r24628 = Om;
        double r24629 = r24627 / r24628;
        double r24630 = pow(r24629, r24624);
        double r24631 = kx;
        double r24632 = sin(r24631);
        double r24633 = pow(r24632, r24624);
        double r24634 = ky;
        double r24635 = sin(r24634);
        double r24636 = pow(r24635, r24624);
        double r24637 = r24633 + r24636;
        double r24638 = r24630 * r24637;
        double r24639 = r24623 + r24638;
        double r24640 = sqrt(r24639);
        double r24641 = r24623 / r24640;
        double r24642 = r24623 + r24641;
        double r24643 = r24625 * r24642;
        double r24644 = sqrt(r24643);
        return r24644;
}


double f_of(float l, float Om, float kx, float ky) {
        float r24645 = 1;
        float r24646 = 2;
        float r24647 = r24645 / r24646;
        float r24648 = ky;
        float r24649 = sin(r24648);
        float r24650 = r24649 * r24649;
        float r24651 = kx;
        float r24652 = sin(r24651);
        float r24653 = r24652 * r24652;
        float r24654 = r24650 + r24653;
        float r24655 = l;
        float r24656 = Om;
        float r24657 = r24646 / r24656;
        float r24658 = r24655 * r24657;
        float r24659 = r24658 * r24658;
        float r24660 = r24654 * r24659;
        float r24661 = r24660 + r24645;
        float r24662 = cbrt(r24661);
        float r24663 = fabs(r24662);
        float r24664 = r24646 * r24655;
        float r24665 = r24664 / r24656;
        float r24666 = pow(r24665, r24646);
        float r24667 = pow(r24652, r24646);
        float r24668 = pow(r24649, r24646);
        float r24669 = r24667 + r24668;
        float r24670 = r24666 * r24669;
        float r24671 = r24645 + r24670;
        float r24672 = cbrt(r24671);
        float r24673 = sqrt(r24672);
        float r24674 = r24663 * r24673;
        float r24675 = r24645 / r24674;
        float r24676 = r24645 + r24675;
        float r24677 = r24647 * r24676;
        float r24678 = sqrt(r24677);
        return r24678;
}

double f_od(double l, double Om, double kx, double ky) {
        double r24679 = 1;
        double r24680 = 2;
        double r24681 = r24679 / r24680;
        double r24682 = ky;
        double r24683 = sin(r24682);
        double r24684 = r24683 * r24683;
        double r24685 = kx;
        double r24686 = sin(r24685);
        double r24687 = r24686 * r24686;
        double r24688 = r24684 + r24687;
        double r24689 = l;
        double r24690 = Om;
        double r24691 = r24680 / r24690;
        double r24692 = r24689 * r24691;
        double r24693 = r24692 * r24692;
        double r24694 = r24688 * r24693;
        double r24695 = r24694 + r24679;
        double r24696 = cbrt(r24695);
        double r24697 = fabs(r24696);
        double r24698 = r24680 * r24689;
        double r24699 = r24698 / r24690;
        double r24700 = pow(r24699, r24680);
        double r24701 = pow(r24686, r24680);
        double r24702 = pow(r24683, r24680);
        double r24703 = r24701 + r24702;
        double r24704 = r24700 * r24703;
        double r24705 = r24679 + r24704;
        double r24706 = cbrt(r24705);
        double r24707 = sqrt(r24706);
        double r24708 = r24697 * r24707;
        double r24709 = r24679 / r24708;
        double r24710 = r24679 + r24709;
        double r24711 = r24681 * r24710;
        double r24712 = sqrt(r24711);
        return r24712;
}

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 r24713, r24714, r24715, r24716, r24717, r24718, r24719, r24720, r24721, r24722, r24723, r24724, r24725, r24726, r24727, r24728, r24729, r24730, r24731, r24732, r24733, r24734;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24713, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24714, "2", 10, MPFR_RNDN);
        mpfr_init(r24715);
        mpfr_init(r24716);
        mpfr_init(r24717);
        mpfr_init(r24718);
        mpfr_init(r24719);
        mpfr_init(r24720);
        mpfr_init(r24721);
        mpfr_init(r24722);
        mpfr_init(r24723);
        mpfr_init(r24724);
        mpfr_init(r24725);
        mpfr_init(r24726);
        mpfr_init(r24727);
        mpfr_init(r24728);
        mpfr_init(r24729);
        mpfr_init(r24730);
        mpfr_init(r24731);
        mpfr_init(r24732);
        mpfr_init(r24733);
        mpfr_init(r24734);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24715, r24713, r24714, MPFR_RNDN);
        mpfr_set_d(r24716, l, MPFR_RNDN);
        mpfr_mul(r24717, r24714, r24716, MPFR_RNDN);
        mpfr_set_d(r24718, Om, MPFR_RNDN);
        mpfr_div(r24719, r24717, r24718, MPFR_RNDN);
        mpfr_pow(r24720, r24719, r24714, MPFR_RNDN);
        mpfr_set_d(r24721, kx, MPFR_RNDN);
        mpfr_sin(r24722, r24721, MPFR_RNDN);
        mpfr_pow(r24723, r24722, r24714, MPFR_RNDN);
        mpfr_set_d(r24724, ky, MPFR_RNDN);
        mpfr_sin(r24725, r24724, MPFR_RNDN);
        mpfr_pow(r24726, r24725, r24714, MPFR_RNDN);
        mpfr_add(r24727, r24723, r24726, MPFR_RNDN);
        mpfr_mul(r24728, r24720, r24727, MPFR_RNDN);
        mpfr_add(r24729, r24713, r24728, MPFR_RNDN);
        mpfr_sqrt(r24730, r24729, MPFR_RNDN);
        mpfr_div(r24731, r24713, r24730, MPFR_RNDN);
        mpfr_add(r24732, r24713, r24731, MPFR_RNDN);
        mpfr_mul(r24733, r24715, r24732, MPFR_RNDN);
        mpfr_sqrt(r24734, r24733, MPFR_RNDN);
        return mpfr_get_d(r24734, MPFR_RNDN);
}

static mpfr_t r24735, r24736, r24737, r24738, r24739, r24740, r24741, r24742, r24743, r24744, r24745, r24746, r24747, r24748, r24749, r24750, r24751, r24752, r24753, r24754, r24755, r24756, r24757, r24758, r24759, r24760, r24761, r24762, r24763, r24764, r24765, r24766, r24767, r24768;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24735, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24736, "2", 10, MPFR_RNDN);
        mpfr_init(r24737);
        mpfr_init(r24738);
        mpfr_init(r24739);
        mpfr_init(r24740);
        mpfr_init(r24741);
        mpfr_init(r24742);
        mpfr_init(r24743);
        mpfr_init(r24744);
        mpfr_init(r24745);
        mpfr_init(r24746);
        mpfr_init(r24747);
        mpfr_init(r24748);
        mpfr_init(r24749);
        mpfr_init(r24750);
        mpfr_init(r24751);
        mpfr_init(r24752);
        mpfr_init(r24753);
        mpfr_init(r24754);
        mpfr_init(r24755);
        mpfr_init(r24756);
        mpfr_init(r24757);
        mpfr_init(r24758);
        mpfr_init(r24759);
        mpfr_init(r24760);
        mpfr_init(r24761);
        mpfr_init(r24762);
        mpfr_init(r24763);
        mpfr_init(r24764);
        mpfr_init(r24765);
        mpfr_init(r24766);
        mpfr_init(r24767);
        mpfr_init(r24768);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24737, r24735, r24736, MPFR_RNDN);
        mpfr_set_d(r24738, ky, MPFR_RNDN);
        mpfr_sin(r24739, r24738, MPFR_RNDN);
        mpfr_mul(r24740, r24739, r24739, MPFR_RNDN);
        mpfr_set_d(r24741, kx, MPFR_RNDN);
        mpfr_sin(r24742, r24741, MPFR_RNDN);
        mpfr_mul(r24743, r24742, r24742, MPFR_RNDN);
        mpfr_add(r24744, r24740, r24743, MPFR_RNDN);
        mpfr_set_d(r24745, l, MPFR_RNDN);
        mpfr_set_d(r24746, Om, MPFR_RNDN);
        mpfr_div(r24747, r24736, r24746, MPFR_RNDN);
        mpfr_mul(r24748, r24745, r24747, MPFR_RNDN);
        mpfr_mul(r24749, r24748, r24748, MPFR_RNDN);
        mpfr_mul(r24750, r24744, r24749, MPFR_RNDN);
        mpfr_add(r24751, r24750, r24735, MPFR_RNDN);
        mpfr_cbrt(r24752, r24751, MPFR_RNDN);
        mpfr_abs(r24753, r24752, MPFR_RNDN);
        mpfr_mul(r24754, r24736, r24745, MPFR_RNDN);
        mpfr_div(r24755, r24754, r24746, MPFR_RNDN);
        mpfr_pow(r24756, r24755, r24736, MPFR_RNDN);
        mpfr_pow(r24757, r24742, r24736, MPFR_RNDN);
        mpfr_pow(r24758, r24739, r24736, MPFR_RNDN);
        mpfr_add(r24759, r24757, r24758, MPFR_RNDN);
        mpfr_mul(r24760, r24756, r24759, MPFR_RNDN);
        mpfr_add(r24761, r24735, r24760, MPFR_RNDN);
        mpfr_cbrt(r24762, r24761, MPFR_RNDN);
        mpfr_sqrt(r24763, r24762, MPFR_RNDN);
        mpfr_mul(r24764, r24753, r24763, MPFR_RNDN);
        mpfr_div(r24765, r24735, r24764, MPFR_RNDN);
        mpfr_add(r24766, r24735, r24765, MPFR_RNDN);
        mpfr_mul(r24767, r24737, r24766, MPFR_RNDN);
        mpfr_sqrt(r24768, r24767, MPFR_RNDN);
        return mpfr_get_d(r24768, MPFR_RNDN);
}

static mpfr_t r24769, r24770, r24771, r24772, r24773, r24774, r24775, r24776, r24777, r24778, r24779, r24780, r24781, r24782, r24783, r24784, r24785, r24786, r24787, r24788, r24789, r24790, r24791, r24792, r24793, r24794, r24795, r24796, r24797, r24798, r24799, r24800, r24801, r24802;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24769, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24770, "2", 10, MPFR_RNDN);
        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(r24785);
        mpfr_init(r24786);
        mpfr_init(r24787);
        mpfr_init(r24788);
        mpfr_init(r24789);
        mpfr_init(r24790);
        mpfr_init(r24791);
        mpfr_init(r24792);
        mpfr_init(r24793);
        mpfr_init(r24794);
        mpfr_init(r24795);
        mpfr_init(r24796);
        mpfr_init(r24797);
        mpfr_init(r24798);
        mpfr_init(r24799);
        mpfr_init(r24800);
        mpfr_init(r24801);
        mpfr_init(r24802);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24771, r24769, r24770, MPFR_RNDN);
        mpfr_set_d(r24772, ky, MPFR_RNDN);
        mpfr_sin(r24773, r24772, MPFR_RNDN);
        mpfr_mul(r24774, r24773, r24773, MPFR_RNDN);
        mpfr_set_d(r24775, kx, MPFR_RNDN);
        mpfr_sin(r24776, r24775, MPFR_RNDN);
        mpfr_mul(r24777, r24776, r24776, MPFR_RNDN);
        mpfr_add(r24778, r24774, r24777, MPFR_RNDN);
        mpfr_set_d(r24779, l, MPFR_RNDN);
        mpfr_set_d(r24780, Om, MPFR_RNDN);
        mpfr_div(r24781, r24770, r24780, MPFR_RNDN);
        mpfr_mul(r24782, r24779, r24781, MPFR_RNDN);
        mpfr_mul(r24783, r24782, r24782, MPFR_RNDN);
        mpfr_mul(r24784, r24778, r24783, MPFR_RNDN);
        mpfr_add(r24785, r24784, r24769, MPFR_RNDN);
        mpfr_cbrt(r24786, r24785, MPFR_RNDN);
        mpfr_abs(r24787, r24786, MPFR_RNDN);
        mpfr_mul(r24788, r24770, r24779, MPFR_RNDN);
        mpfr_div(r24789, r24788, r24780, MPFR_RNDN);
        mpfr_pow(r24790, r24789, r24770, MPFR_RNDN);
        mpfr_pow(r24791, r24776, r24770, MPFR_RNDN);
        mpfr_pow(r24792, r24773, r24770, MPFR_RNDN);
        mpfr_add(r24793, r24791, r24792, MPFR_RNDN);
        mpfr_mul(r24794, r24790, r24793, MPFR_RNDN);
        mpfr_add(r24795, r24769, r24794, MPFR_RNDN);
        mpfr_cbrt(r24796, r24795, MPFR_RNDN);
        mpfr_sqrt(r24797, r24796, MPFR_RNDN);
        mpfr_mul(r24798, r24787, r24797, MPFR_RNDN);
        mpfr_div(r24799, r24769, r24798, MPFR_RNDN);
        mpfr_add(r24800, r24769, r24799, MPFR_RNDN);
        mpfr_mul(r24801, r24771, r24800, MPFR_RNDN);
        mpfr_sqrt(r24802, r24801, MPFR_RNDN);
        return mpfr_get_d(r24802, MPFR_RNDN);
}

