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

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

double f_if(float kx, float ky, float th) {
        float r21675 = ky;
        float r21676 = sin(r21675);
        float r21677 = kx;
        float r21678 = sin(r21677);
        float r21679 = 2;
        float r21680 = pow(r21678, r21679);
        float r21681 = pow(r21676, r21679);
        float r21682 = r21680 + r21681;
        float r21683 = sqrt(r21682);
        float r21684 = r21676 / r21683;
        float r21685 = th;
        float r21686 = sin(r21685);
        float r21687 = r21684 * r21686;
        return r21687;
}

double f_id(double kx, double ky, double th) {
        double r21688 = ky;
        double r21689 = sin(r21688);
        double r21690 = kx;
        double r21691 = sin(r21690);
        double r21692 = 2;
        double r21693 = pow(r21691, r21692);
        double r21694 = pow(r21689, r21692);
        double r21695 = r21693 + r21694;
        double r21696 = sqrt(r21695);
        double r21697 = r21689 / r21696;
        double r21698 = th;
        double r21699 = sin(r21698);
        double r21700 = r21697 * r21699;
        return r21700;
}


double f_of(float kx, float ky, float th) {
        float r21701 = th;
        float r21702 = sin(r21701);
        float r21703 = ky;
        float r21704 = sin(r21703);
        float r21705 = kx;
        float r21706 = sin(r21705);
        float r21707 = hypot(r21704, r21706);
        float r21708 = r21707 / r21704;
        float r21709 = r21702 / r21708;
        return r21709;
}

double f_od(double kx, double ky, double th) {
        double r21710 = th;
        double r21711 = sin(r21710);
        double r21712 = ky;
        double r21713 = sin(r21712);
        double r21714 = kx;
        double r21715 = sin(r21714);
        double r21716 = hypot(r21713, r21715);
        double r21717 = r21716 / r21713;
        double r21718 = r21711 / r21717;
        return r21718;
}

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 r21719, r21720, r21721, r21722, r21723, r21724, r21725, r21726, r21727, r21728, r21729, r21730, r21731;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21719);
        mpfr_init(r21720);
        mpfr_init(r21721);
        mpfr_init(r21722);
        mpfr_init_set_str(r21723, "2", 10, MPFR_RNDN);
        mpfr_init(r21724);
        mpfr_init(r21725);
        mpfr_init(r21726);
        mpfr_init(r21727);
        mpfr_init(r21728);
        mpfr_init(r21729);
        mpfr_init(r21730);
        mpfr_init(r21731);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21719, ky, MPFR_RNDN);
        mpfr_sin(r21720, r21719, MPFR_RNDN);
        mpfr_set_d(r21721, kx, MPFR_RNDN);
        mpfr_sin(r21722, r21721, MPFR_RNDN);
        ;
        mpfr_pow(r21724, r21722, r21723, MPFR_RNDN);
        mpfr_pow(r21725, r21720, r21723, MPFR_RNDN);
        mpfr_add(r21726, r21724, r21725, MPFR_RNDN);
        mpfr_sqrt(r21727, r21726, MPFR_RNDN);
        mpfr_div(r21728, r21720, r21727, MPFR_RNDN);
        mpfr_set_d(r21729, th, MPFR_RNDN);
        mpfr_sin(r21730, r21729, MPFR_RNDN);
        mpfr_mul(r21731, r21728, r21730, MPFR_RNDN);
        return mpfr_get_d(r21731, MPFR_RNDN);
}

static mpfr_t r21732, r21733, r21734, r21735, r21736, r21737, r21738, r21739, r21740;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21732);
        mpfr_init(r21733);
        mpfr_init(r21734);
        mpfr_init(r21735);
        mpfr_init(r21736);
        mpfr_init(r21737);
        mpfr_init(r21738);
        mpfr_init(r21739);
        mpfr_init(r21740);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21732, th, MPFR_RNDN);
        mpfr_sin(r21733, r21732, MPFR_RNDN);
        mpfr_set_d(r21734, ky, MPFR_RNDN);
        mpfr_sin(r21735, r21734, MPFR_RNDN);
        mpfr_set_d(r21736, kx, MPFR_RNDN);
        mpfr_sin(r21737, r21736, MPFR_RNDN);
        mpfr_hypot(r21738, r21735, r21737, MPFR_RNDN);
        mpfr_div(r21739, r21738, r21735, MPFR_RNDN);
        mpfr_div(r21740, r21733, r21739, MPFR_RNDN);
        return mpfr_get_d(r21740, MPFR_RNDN);
}

static mpfr_t r21741, r21742, r21743, r21744, r21745, r21746, r21747, r21748, r21749;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21741);
        mpfr_init(r21742);
        mpfr_init(r21743);
        mpfr_init(r21744);
        mpfr_init(r21745);
        mpfr_init(r21746);
        mpfr_init(r21747);
        mpfr_init(r21748);
        mpfr_init(r21749);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21741, th, MPFR_RNDN);
        mpfr_sin(r21742, r21741, MPFR_RNDN);
        mpfr_set_d(r21743, ky, MPFR_RNDN);
        mpfr_sin(r21744, r21743, MPFR_RNDN);
        mpfr_set_d(r21745, kx, MPFR_RNDN);
        mpfr_sin(r21746, r21745, MPFR_RNDN);
        mpfr_hypot(r21747, r21744, r21746, MPFR_RNDN);
        mpfr_div(r21748, r21747, r21744, MPFR_RNDN);
        mpfr_div(r21749, r21742, r21748, MPFR_RNDN);
        return mpfr_get_d(r21749, MPFR_RNDN);
}