#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 r21973 = ky;
        float r21974 = sin(r21973);
        float r21975 = kx;
        float r21976 = sin(r21975);
        float r21977 = 2;
        float r21978 = pow(r21976, r21977);
        float r21979 = pow(r21974, r21977);
        float r21980 = r21978 + r21979;
        float r21981 = sqrt(r21980);
        float r21982 = r21974 / r21981;
        float r21983 = th;
        float r21984 = sin(r21983);
        float r21985 = r21982 * r21984;
        return r21985;
}

double f_id(double kx, double ky, double th) {
        double r21986 = ky;
        double r21987 = sin(r21986);
        double r21988 = kx;
        double r21989 = sin(r21988);
        double r21990 = 2;
        double r21991 = pow(r21989, r21990);
        double r21992 = pow(r21987, r21990);
        double r21993 = r21991 + r21992;
        double r21994 = sqrt(r21993);
        double r21995 = r21987 / r21994;
        double r21996 = th;
        double r21997 = sin(r21996);
        double r21998 = r21995 * r21997;
        return r21998;
}


double f_of(float kx, float ky, float th) {
        float r21999 = th;
        float r22000 = sin(r21999);
        float r22001 = ky;
        float r22002 = sin(r22001);
        float r22003 = kx;
        float r22004 = sin(r22003);
        float r22005 = hypot(r22002, r22004);
        float r22006 = r22005 / r22002;
        float r22007 = r22000 / r22006;
        return r22007;
}

double f_od(double kx, double ky, double th) {
        double r22008 = th;
        double r22009 = sin(r22008);
        double r22010 = ky;
        double r22011 = sin(r22010);
        double r22012 = kx;
        double r22013 = sin(r22012);
        double r22014 = hypot(r22011, r22013);
        double r22015 = r22014 / r22011;
        double r22016 = r22009 / r22015;
        return r22016;
}

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 r22017, r22018, r22019, r22020, r22021, r22022, r22023, r22024, r22025, r22026, r22027, r22028, r22029;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22017);
        mpfr_init(r22018);
        mpfr_init(r22019);
        mpfr_init(r22020);
        mpfr_init_set_str(r22021, "2", 10, MPFR_RNDN);
        mpfr_init(r22022);
        mpfr_init(r22023);
        mpfr_init(r22024);
        mpfr_init(r22025);
        mpfr_init(r22026);
        mpfr_init(r22027);
        mpfr_init(r22028);
        mpfr_init(r22029);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22017, ky, MPFR_RNDN);
        mpfr_sin(r22018, r22017, MPFR_RNDN);
        mpfr_set_d(r22019, kx, MPFR_RNDN);
        mpfr_sin(r22020, r22019, MPFR_RNDN);
        ;
        mpfr_pow(r22022, r22020, r22021, MPFR_RNDN);
        mpfr_pow(r22023, r22018, r22021, MPFR_RNDN);
        mpfr_add(r22024, r22022, r22023, MPFR_RNDN);
        mpfr_sqrt(r22025, r22024, MPFR_RNDN);
        mpfr_div(r22026, r22018, r22025, MPFR_RNDN);
        mpfr_set_d(r22027, th, MPFR_RNDN);
        mpfr_sin(r22028, r22027, MPFR_RNDN);
        mpfr_mul(r22029, r22026, r22028, MPFR_RNDN);
        return mpfr_get_d(r22029, MPFR_RNDN);
}

static mpfr_t r22030, r22031, r22032, r22033, r22034, r22035, r22036, r22037, r22038;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22030);
        mpfr_init(r22031);
        mpfr_init(r22032);
        mpfr_init(r22033);
        mpfr_init(r22034);
        mpfr_init(r22035);
        mpfr_init(r22036);
        mpfr_init(r22037);
        mpfr_init(r22038);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22030, th, MPFR_RNDN);
        mpfr_sin(r22031, r22030, MPFR_RNDN);
        mpfr_set_d(r22032, ky, MPFR_RNDN);
        mpfr_sin(r22033, r22032, MPFR_RNDN);
        mpfr_set_d(r22034, kx, MPFR_RNDN);
        mpfr_sin(r22035, r22034, MPFR_RNDN);
        mpfr_hypot(r22036, r22033, r22035, MPFR_RNDN);
        mpfr_div(r22037, r22036, r22033, MPFR_RNDN);
        mpfr_div(r22038, r22031, r22037, MPFR_RNDN);
        return mpfr_get_d(r22038, MPFR_RNDN);
}

static mpfr_t r22039, r22040, r22041, r22042, r22043, r22044, r22045, r22046, r22047;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22039);
        mpfr_init(r22040);
        mpfr_init(r22041);
        mpfr_init(r22042);
        mpfr_init(r22043);
        mpfr_init(r22044);
        mpfr_init(r22045);
        mpfr_init(r22046);
        mpfr_init(r22047);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22039, th, MPFR_RNDN);
        mpfr_sin(r22040, r22039, MPFR_RNDN);
        mpfr_set_d(r22041, ky, MPFR_RNDN);
        mpfr_sin(r22042, r22041, MPFR_RNDN);
        mpfr_set_d(r22043, kx, MPFR_RNDN);
        mpfr_sin(r22044, r22043, MPFR_RNDN);
        mpfr_hypot(r22045, r22042, r22044, MPFR_RNDN);
        mpfr_div(r22046, r22045, r22042, MPFR_RNDN);
        mpfr_div(r22047, r22040, r22046, MPFR_RNDN);
        return mpfr_get_d(r22047, MPFR_RNDN);
}