#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 r21819 = ky;
        float r21820 = sin(r21819);
        float r21821 = kx;
        float r21822 = sin(r21821);
        float r21823 = 2;
        float r21824 = pow(r21822, r21823);
        float r21825 = pow(r21820, r21823);
        float r21826 = r21824 + r21825;
        float r21827 = sqrt(r21826);
        float r21828 = r21820 / r21827;
        float r21829 = th;
        float r21830 = sin(r21829);
        float r21831 = r21828 * r21830;
        return r21831;
}

double f_id(double kx, double ky, double th) {
        double r21832 = ky;
        double r21833 = sin(r21832);
        double r21834 = kx;
        double r21835 = sin(r21834);
        double r21836 = 2;
        double r21837 = pow(r21835, r21836);
        double r21838 = pow(r21833, r21836);
        double r21839 = r21837 + r21838;
        double r21840 = sqrt(r21839);
        double r21841 = r21833 / r21840;
        double r21842 = th;
        double r21843 = sin(r21842);
        double r21844 = r21841 * r21843;
        return r21844;
}


double f_of(float kx, float ky, float th) {
        float r21845 = th;
        float r21846 = sin(r21845);
        float r21847 = ky;
        float r21848 = sin(r21847);
        float r21849 = kx;
        float r21850 = sin(r21849);
        float r21851 = hypot(r21848, r21850);
        float r21852 = r21848 / r21851;
        float r21853 = r21846 * r21852;
        return r21853;
}

double f_od(double kx, double ky, double th) {
        double r21854 = th;
        double r21855 = sin(r21854);
        double r21856 = ky;
        double r21857 = sin(r21856);
        double r21858 = kx;
        double r21859 = sin(r21858);
        double r21860 = hypot(r21857, r21859);
        double r21861 = r21857 / r21860;
        double r21862 = r21855 * r21861;
        return r21862;
}

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 r21863, r21864, r21865, r21866, r21867, r21868, r21869, r21870, r21871, r21872, r21873, r21874, r21875;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21863);
        mpfr_init(r21864);
        mpfr_init(r21865);
        mpfr_init(r21866);
        mpfr_init_set_str(r21867, "2", 10, MPFR_RNDN);
        mpfr_init(r21868);
        mpfr_init(r21869);
        mpfr_init(r21870);
        mpfr_init(r21871);
        mpfr_init(r21872);
        mpfr_init(r21873);
        mpfr_init(r21874);
        mpfr_init(r21875);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21863, ky, MPFR_RNDN);
        mpfr_sin(r21864, r21863, MPFR_RNDN);
        mpfr_set_d(r21865, kx, MPFR_RNDN);
        mpfr_sin(r21866, r21865, MPFR_RNDN);
        ;
        mpfr_pow(r21868, r21866, r21867, MPFR_RNDN);
        mpfr_pow(r21869, r21864, r21867, MPFR_RNDN);
        mpfr_add(r21870, r21868, r21869, MPFR_RNDN);
        mpfr_sqrt(r21871, r21870, MPFR_RNDN);
        mpfr_div(r21872, r21864, r21871, MPFR_RNDN);
        mpfr_set_d(r21873, th, MPFR_RNDN);
        mpfr_sin(r21874, r21873, MPFR_RNDN);
        mpfr_mul(r21875, r21872, r21874, MPFR_RNDN);
        return mpfr_get_d(r21875, MPFR_RNDN);
}

static mpfr_t r21876, r21877, r21878, r21879, r21880, r21881, r21882, r21883, r21884;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21876);
        mpfr_init(r21877);
        mpfr_init(r21878);
        mpfr_init(r21879);
        mpfr_init(r21880);
        mpfr_init(r21881);
        mpfr_init(r21882);
        mpfr_init(r21883);
        mpfr_init(r21884);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21876, th, MPFR_RNDN);
        mpfr_sin(r21877, r21876, MPFR_RNDN);
        mpfr_set_d(r21878, ky, MPFR_RNDN);
        mpfr_sin(r21879, r21878, MPFR_RNDN);
        mpfr_set_d(r21880, kx, MPFR_RNDN);
        mpfr_sin(r21881, r21880, MPFR_RNDN);
        mpfr_hypot(r21882, r21879, r21881, MPFR_RNDN);
        mpfr_div(r21883, r21879, r21882, MPFR_RNDN);
        mpfr_mul(r21884, r21877, r21883, MPFR_RNDN);
        return mpfr_get_d(r21884, MPFR_RNDN);
}

static mpfr_t r21885, r21886, r21887, r21888, r21889, r21890, r21891, r21892, r21893;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21885);
        mpfr_init(r21886);
        mpfr_init(r21887);
        mpfr_init(r21888);
        mpfr_init(r21889);
        mpfr_init(r21890);
        mpfr_init(r21891);
        mpfr_init(r21892);
        mpfr_init(r21893);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21885, th, MPFR_RNDN);
        mpfr_sin(r21886, r21885, MPFR_RNDN);
        mpfr_set_d(r21887, ky, MPFR_RNDN);
        mpfr_sin(r21888, r21887, MPFR_RNDN);
        mpfr_set_d(r21889, kx, MPFR_RNDN);
        mpfr_sin(r21890, r21889, MPFR_RNDN);
        mpfr_hypot(r21891, r21888, r21890, MPFR_RNDN);
        mpfr_div(r21892, r21888, r21891, MPFR_RNDN);
        mpfr_mul(r21893, r21886, r21892, MPFR_RNDN);
        return mpfr_get_d(r21893, MPFR_RNDN);
}