#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 r24559 = 1;
        float r24560 = 2;
        float r24561 = r24559 / r24560;
        float r24562 = l;
        float r24563 = r24560 * r24562;
        float r24564 = Om;
        float r24565 = r24563 / r24564;
        float r24566 = pow(r24565, r24560);
        float r24567 = kx;
        float r24568 = sin(r24567);
        float r24569 = pow(r24568, r24560);
        float r24570 = ky;
        float r24571 = sin(r24570);
        float r24572 = pow(r24571, r24560);
        float r24573 = r24569 + r24572;
        float r24574 = r24566 * r24573;
        float r24575 = r24559 + r24574;
        float r24576 = sqrt(r24575);
        float r24577 = r24559 / r24576;
        float r24578 = r24559 + r24577;
        float r24579 = r24561 * r24578;
        float r24580 = sqrt(r24579);
        return r24580;
}

double f_id(double l, double Om, double kx, double ky) {
        double r24581 = 1;
        double r24582 = 2;
        double r24583 = r24581 / r24582;
        double r24584 = l;
        double r24585 = r24582 * r24584;
        double r24586 = Om;
        double r24587 = r24585 / r24586;
        double r24588 = pow(r24587, r24582);
        double r24589 = kx;
        double r24590 = sin(r24589);
        double r24591 = pow(r24590, r24582);
        double r24592 = ky;
        double r24593 = sin(r24592);
        double r24594 = pow(r24593, r24582);
        double r24595 = r24591 + r24594;
        double r24596 = r24588 * r24595;
        double r24597 = r24581 + r24596;
        double r24598 = sqrt(r24597);
        double r24599 = r24581 / r24598;
        double r24600 = r24581 + r24599;
        double r24601 = r24583 * r24600;
        double r24602 = sqrt(r24601);
        return r24602;
}


double f_of(float l, float Om, float kx, float ky) {
        float r24603 = 1;
        float r24604 = 2;
        float r24605 = r24603 / r24604;
        float r24606 = l;
        float r24607 = r24604 * r24606;
        float r24608 = Om;
        float r24609 = r24607 / r24608;
        float r24610 = kx;
        float r24611 = sin(r24610);
        float r24612 = pow(r24611, r24604);
        float r24613 = ky;
        float r24614 = sin(r24613);
        float r24615 = pow(r24614, r24604);
        float r24616 = r24612 + r24615;
        float r24617 = r24609 * r24616;
        float r24618 = r24609 * r24617;
        float r24619 = r24603 + r24618;
        float r24620 = sqrt(r24619);
        float r24621 = r24603 / r24620;
        float r24622 = r24603 + r24621;
        float r24623 = r24605 * r24622;
        float r24624 = sqrt(r24623);
        return r24624;
}

double f_od(double l, double Om, double kx, double ky) {
        double r24625 = 1;
        double r24626 = 2;
        double r24627 = r24625 / r24626;
        double r24628 = l;
        double r24629 = r24626 * r24628;
        double r24630 = Om;
        double r24631 = r24629 / r24630;
        double r24632 = kx;
        double r24633 = sin(r24632);
        double r24634 = pow(r24633, r24626);
        double r24635 = ky;
        double r24636 = sin(r24635);
        double r24637 = pow(r24636, r24626);
        double r24638 = r24634 + r24637;
        double r24639 = r24631 * r24638;
        double r24640 = r24631 * r24639;
        double r24641 = r24625 + r24640;
        double r24642 = sqrt(r24641);
        double r24643 = r24625 / r24642;
        double r24644 = r24625 + r24643;
        double r24645 = r24627 * r24644;
        double r24646 = sqrt(r24645);
        return r24646;
}

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 r24647, r24648, r24649, r24650, r24651, r24652, r24653, r24654, r24655, r24656, r24657, r24658, r24659, r24660, r24661, r24662, r24663, r24664, r24665, r24666, r24667, r24668;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24647, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24648, "2", 10, MPFR_RNDN);
        mpfr_init(r24649);
        mpfr_init(r24650);
        mpfr_init(r24651);
        mpfr_init(r24652);
        mpfr_init(r24653);
        mpfr_init(r24654);
        mpfr_init(r24655);
        mpfr_init(r24656);
        mpfr_init(r24657);
        mpfr_init(r24658);
        mpfr_init(r24659);
        mpfr_init(r24660);
        mpfr_init(r24661);
        mpfr_init(r24662);
        mpfr_init(r24663);
        mpfr_init(r24664);
        mpfr_init(r24665);
        mpfr_init(r24666);
        mpfr_init(r24667);
        mpfr_init(r24668);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24649, r24647, r24648, MPFR_RNDN);
        mpfr_set_d(r24650, l, MPFR_RNDN);
        mpfr_mul(r24651, r24648, r24650, MPFR_RNDN);
        mpfr_set_d(r24652, Om, MPFR_RNDN);
        mpfr_div(r24653, r24651, r24652, MPFR_RNDN);
        mpfr_pow(r24654, r24653, r24648, MPFR_RNDN);
        mpfr_set_d(r24655, kx, MPFR_RNDN);
        mpfr_sin(r24656, r24655, MPFR_RNDN);
        mpfr_pow(r24657, r24656, r24648, MPFR_RNDN);
        mpfr_set_d(r24658, ky, MPFR_RNDN);
        mpfr_sin(r24659, r24658, MPFR_RNDN);
        mpfr_pow(r24660, r24659, r24648, MPFR_RNDN);
        mpfr_add(r24661, r24657, r24660, MPFR_RNDN);
        mpfr_mul(r24662, r24654, r24661, MPFR_RNDN);
        mpfr_add(r24663, r24647, r24662, MPFR_RNDN);
        mpfr_sqrt(r24664, r24663, MPFR_RNDN);
        mpfr_div(r24665, r24647, r24664, MPFR_RNDN);
        mpfr_add(r24666, r24647, r24665, MPFR_RNDN);
        mpfr_mul(r24667, r24649, r24666, MPFR_RNDN);
        mpfr_sqrt(r24668, r24667, MPFR_RNDN);
        return mpfr_get_d(r24668, MPFR_RNDN);
}

static mpfr_t r24669, r24670, r24671, r24672, r24673, r24674, r24675, r24676, r24677, r24678, r24679, r24680, r24681, r24682, r24683, r24684, r24685, r24686, r24687, r24688, r24689, r24690;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24669, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24670, "2", 10, MPFR_RNDN);
        mpfr_init(r24671);
        mpfr_init(r24672);
        mpfr_init(r24673);
        mpfr_init(r24674);
        mpfr_init(r24675);
        mpfr_init(r24676);
        mpfr_init(r24677);
        mpfr_init(r24678);
        mpfr_init(r24679);
        mpfr_init(r24680);
        mpfr_init(r24681);
        mpfr_init(r24682);
        mpfr_init(r24683);
        mpfr_init(r24684);
        mpfr_init(r24685);
        mpfr_init(r24686);
        mpfr_init(r24687);
        mpfr_init(r24688);
        mpfr_init(r24689);
        mpfr_init(r24690);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24671, r24669, r24670, MPFR_RNDN);
        mpfr_set_d(r24672, l, MPFR_RNDN);
        mpfr_mul(r24673, r24670, r24672, MPFR_RNDN);
        mpfr_set_d(r24674, Om, MPFR_RNDN);
        mpfr_div(r24675, r24673, r24674, MPFR_RNDN);
        mpfr_set_d(r24676, kx, MPFR_RNDN);
        mpfr_sin(r24677, r24676, MPFR_RNDN);
        mpfr_pow(r24678, r24677, r24670, MPFR_RNDN);
        mpfr_set_d(r24679, ky, MPFR_RNDN);
        mpfr_sin(r24680, r24679, MPFR_RNDN);
        mpfr_pow(r24681, r24680, r24670, MPFR_RNDN);
        mpfr_add(r24682, r24678, r24681, MPFR_RNDN);
        mpfr_mul(r24683, r24675, r24682, MPFR_RNDN);
        mpfr_mul(r24684, r24675, r24683, MPFR_RNDN);
        mpfr_add(r24685, r24669, r24684, MPFR_RNDN);
        mpfr_sqrt(r24686, r24685, MPFR_RNDN);
        mpfr_div(r24687, r24669, r24686, MPFR_RNDN);
        mpfr_add(r24688, r24669, r24687, MPFR_RNDN);
        mpfr_mul(r24689, r24671, r24688, MPFR_RNDN);
        mpfr_sqrt(r24690, r24689, MPFR_RNDN);
        return mpfr_get_d(r24690, MPFR_RNDN);
}

static mpfr_t r24691, r24692, r24693, r24694, r24695, r24696, r24697, r24698, r24699, r24700, r24701, r24702, r24703, r24704, r24705, r24706, r24707, r24708, r24709, r24710, r24711, r24712;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r24691, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r24692, "2", 10, MPFR_RNDN);
        mpfr_init(r24693);
        mpfr_init(r24694);
        mpfr_init(r24695);
        mpfr_init(r24696);
        mpfr_init(r24697);
        mpfr_init(r24698);
        mpfr_init(r24699);
        mpfr_init(r24700);
        mpfr_init(r24701);
        mpfr_init(r24702);
        mpfr_init(r24703);
        mpfr_init(r24704);
        mpfr_init(r24705);
        mpfr_init(r24706);
        mpfr_init(r24707);
        mpfr_init(r24708);
        mpfr_init(r24709);
        mpfr_init(r24710);
        mpfr_init(r24711);
        mpfr_init(r24712);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r24693, r24691, r24692, MPFR_RNDN);
        mpfr_set_d(r24694, l, MPFR_RNDN);
        mpfr_mul(r24695, r24692, r24694, MPFR_RNDN);
        mpfr_set_d(r24696, Om, MPFR_RNDN);
        mpfr_div(r24697, r24695, r24696, MPFR_RNDN);
        mpfr_set_d(r24698, kx, MPFR_RNDN);
        mpfr_sin(r24699, r24698, MPFR_RNDN);
        mpfr_pow(r24700, r24699, r24692, MPFR_RNDN);
        mpfr_set_d(r24701, ky, MPFR_RNDN);
        mpfr_sin(r24702, r24701, MPFR_RNDN);
        mpfr_pow(r24703, r24702, r24692, MPFR_RNDN);
        mpfr_add(r24704, r24700, r24703, MPFR_RNDN);
        mpfr_mul(r24705, r24697, r24704, MPFR_RNDN);
        mpfr_mul(r24706, r24697, r24705, MPFR_RNDN);
        mpfr_add(r24707, r24691, r24706, MPFR_RNDN);
        mpfr_sqrt(r24708, r24707, MPFR_RNDN);
        mpfr_div(r24709, r24691, r24708, MPFR_RNDN);
        mpfr_add(r24710, r24691, r24709, MPFR_RNDN);
        mpfr_mul(r24711, r24693, r24710, MPFR_RNDN);
        mpfr_sqrt(r24712, r24711, MPFR_RNDN);
        return mpfr_get_d(r24712, MPFR_RNDN);
}

