#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 r21943 = ky;
        float r21944 = sin(r21943);
        float r21945 = kx;
        float r21946 = sin(r21945);
        float r21947 = 2;
        float r21948 = pow(r21946, r21947);
        float r21949 = pow(r21944, r21947);
        float r21950 = r21948 + r21949;
        float r21951 = sqrt(r21950);
        float r21952 = r21944 / r21951;
        float r21953 = th;
        float r21954 = sin(r21953);
        float r21955 = r21952 * r21954;
        return r21955;
}

double f_id(double kx, double ky, double th) {
        double r21956 = ky;
        double r21957 = sin(r21956);
        double r21958 = kx;
        double r21959 = sin(r21958);
        double r21960 = 2;
        double r21961 = pow(r21959, r21960);
        double r21962 = pow(r21957, r21960);
        double r21963 = r21961 + r21962;
        double r21964 = sqrt(r21963);
        double r21965 = r21957 / r21964;
        double r21966 = th;
        double r21967 = sin(r21966);
        double r21968 = r21965 * r21967;
        return r21968;
}


double f_of(float kx, float ky, float th) {
        float r21969 = th;
        float r21970 = sin(r21969);
        float r21971 = ky;
        float r21972 = sin(r21971);
        float r21973 = kx;
        float r21974 = sin(r21973);
        float r21975 = hypot(r21972, r21974);
        float r21976 = r21975 / r21972;
        float r21977 = r21970 / r21976;
        return r21977;
}

double f_od(double kx, double ky, double th) {
        double r21978 = th;
        double r21979 = sin(r21978);
        double r21980 = ky;
        double r21981 = sin(r21980);
        double r21982 = kx;
        double r21983 = sin(r21982);
        double r21984 = hypot(r21981, r21983);
        double r21985 = r21984 / r21981;
        double r21986 = r21979 / r21985;
        return r21986;
}

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 r21987, r21988, r21989, r21990, r21991, r21992, r21993, r21994, r21995, r21996, r21997, r21998, r21999;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r21987);
        mpfr_init(r21988);
        mpfr_init(r21989);
        mpfr_init(r21990);
        mpfr_init_set_str(r21991, "2", 10, MPFR_RNDN);
        mpfr_init(r21992);
        mpfr_init(r21993);
        mpfr_init(r21994);
        mpfr_init(r21995);
        mpfr_init(r21996);
        mpfr_init(r21997);
        mpfr_init(r21998);
        mpfr_init(r21999);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21987, ky, MPFR_RNDN);
        mpfr_sin(r21988, r21987, MPFR_RNDN);
        mpfr_set_d(r21989, kx, MPFR_RNDN);
        mpfr_sin(r21990, r21989, MPFR_RNDN);
        ;
        mpfr_pow(r21992, r21990, r21991, MPFR_RNDN);
        mpfr_pow(r21993, r21988, r21991, MPFR_RNDN);
        mpfr_add(r21994, r21992, r21993, MPFR_RNDN);
        mpfr_sqrt(r21995, r21994, MPFR_RNDN);
        mpfr_div(r21996, r21988, r21995, MPFR_RNDN);
        mpfr_set_d(r21997, th, MPFR_RNDN);
        mpfr_sin(r21998, r21997, MPFR_RNDN);
        mpfr_mul(r21999, r21996, r21998, MPFR_RNDN);
        return mpfr_get_d(r21999, MPFR_RNDN);
}

static mpfr_t r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22000);
        mpfr_init(r22001);
        mpfr_init(r22002);
        mpfr_init(r22003);
        mpfr_init(r22004);
        mpfr_init(r22005);
        mpfr_init(r22006);
        mpfr_init(r22007);
        mpfr_init(r22008);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22000, th, MPFR_RNDN);
        mpfr_sin(r22001, r22000, MPFR_RNDN);
        mpfr_set_d(r22002, ky, MPFR_RNDN);
        mpfr_sin(r22003, r22002, MPFR_RNDN);
        mpfr_set_d(r22004, kx, MPFR_RNDN);
        mpfr_sin(r22005, r22004, MPFR_RNDN);
        mpfr_hypot(r22006, r22003, r22005, MPFR_RNDN);
        mpfr_div(r22007, r22006, r22003, MPFR_RNDN);
        mpfr_div(r22008, r22001, r22007, MPFR_RNDN);
        return mpfr_get_d(r22008, MPFR_RNDN);
}

static mpfr_t r22009, r22010, r22011, r22012, r22013, r22014, r22015, r22016, r22017;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22009);
        mpfr_init(r22010);
        mpfr_init(r22011);
        mpfr_init(r22012);
        mpfr_init(r22013);
        mpfr_init(r22014);
        mpfr_init(r22015);
        mpfr_init(r22016);
        mpfr_init(r22017);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22009, th, MPFR_RNDN);
        mpfr_sin(r22010, r22009, MPFR_RNDN);
        mpfr_set_d(r22011, ky, MPFR_RNDN);
        mpfr_sin(r22012, r22011, MPFR_RNDN);
        mpfr_set_d(r22013, kx, MPFR_RNDN);
        mpfr_sin(r22014, r22013, MPFR_RNDN);
        mpfr_hypot(r22015, r22012, r22014, MPFR_RNDN);
        mpfr_div(r22016, r22015, r22012, MPFR_RNDN);
        mpfr_div(r22017, r22010, r22016, MPFR_RNDN);
        return mpfr_get_d(r22017, MPFR_RNDN);
}