#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 r21939 = ky;
        float r21940 = sin(r21939);
        float r21941 = kx;
        float r21942 = sin(r21941);
        float r21943 = 2;
        float r21944 = pow(r21942, r21943);
        float r21945 = pow(r21940, r21943);
        float r21946 = r21944 + r21945;
        float r21947 = sqrt(r21946);
        float r21948 = r21940 / r21947;
        float r21949 = th;
        float r21950 = sin(r21949);
        float r21951 = r21948 * r21950;
        return r21951;
}

double f_id(double kx, double ky, double th) {
        double r21952 = ky;
        double r21953 = sin(r21952);
        double r21954 = kx;
        double r21955 = sin(r21954);
        double r21956 = 2;
        double r21957 = pow(r21955, r21956);
        double r21958 = pow(r21953, r21956);
        double r21959 = r21957 + r21958;
        double r21960 = sqrt(r21959);
        double r21961 = r21953 / r21960;
        double r21962 = th;
        double r21963 = sin(r21962);
        double r21964 = r21961 * r21963;
        return r21964;
}


double f_of(float kx, float ky, float th) {
        float r21965 = ky;
        float r21966 = sin(r21965);
        float r21967 = kx;
        float r21968 = sin(r21967);
        float r21969 = 2;
        float r21970 = pow(r21968, r21969);
        float r21971 = cbrt(r21970);
        float r21972 = r21971 * r21971;
        float r21973 = r21972 * r21971;
        float r21974 = pow(r21966, r21969);
        float r21975 = r21973 + r21974;
        float r21976 = sqrt(r21975);
        float r21977 = r21966 / r21976;
        float r21978 = th;
        float r21979 = sin(r21978);
        float r21980 = r21977 * r21979;
        return r21980;
}

double f_od(double kx, double ky, double th) {
        double r21981 = ky;
        double r21982 = sin(r21981);
        double r21983 = kx;
        double r21984 = sin(r21983);
        double r21985 = 2;
        double r21986 = pow(r21984, r21985);
        double r21987 = cbrt(r21986);
        double r21988 = r21987 * r21987;
        double r21989 = r21988 * r21987;
        double r21990 = pow(r21982, r21985);
        double r21991 = r21989 + r21990;
        double r21992 = sqrt(r21991);
        double r21993 = r21982 / r21992;
        double r21994 = th;
        double r21995 = sin(r21994);
        double r21996 = r21993 * r21995;
        return r21996;
}

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 r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008, r22009;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(272);
        mpfr_init(r21997);
        mpfr_init(r21998);
        mpfr_init(r21999);
        mpfr_init(r22000);
        mpfr_init_set_str(r22001, "2", 10, MPFR_RNDN);
        mpfr_init(r22002);
        mpfr_init(r22003);
        mpfr_init(r22004);
        mpfr_init(r22005);
        mpfr_init(r22006);
        mpfr_init(r22007);
        mpfr_init(r22008);
        mpfr_init(r22009);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21997, ky, MPFR_RNDN);
        mpfr_sin(r21998, r21997, MPFR_RNDN);
        mpfr_set_d(r21999, kx, MPFR_RNDN);
        mpfr_sin(r22000, r21999, MPFR_RNDN);
        ;
        mpfr_pow(r22002, r22000, r22001, MPFR_RNDN);
        mpfr_pow(r22003, r21998, r22001, MPFR_RNDN);
        mpfr_add(r22004, r22002, r22003, MPFR_RNDN);
        mpfr_sqrt(r22005, r22004, MPFR_RNDN);
        mpfr_div(r22006, r21998, r22005, MPFR_RNDN);
        mpfr_set_d(r22007, th, MPFR_RNDN);
        mpfr_sin(r22008, r22007, MPFR_RNDN);
        mpfr_mul(r22009, r22006, r22008, MPFR_RNDN);
        return mpfr_get_d(r22009, MPFR_RNDN);
}

static mpfr_t r22010, r22011, r22012, r22013, r22014, r22015, r22016, r22017, r22018, r22019, r22020, r22021, r22022, r22023, r22024, r22025;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(272);
        mpfr_init(r22010);
        mpfr_init(r22011);
        mpfr_init(r22012);
        mpfr_init(r22013);
        mpfr_init_set_str(r22014, "2", 10, MPFR_RNDN);
        mpfr_init(r22015);
        mpfr_init(r22016);
        mpfr_init(r22017);
        mpfr_init(r22018);
        mpfr_init(r22019);
        mpfr_init(r22020);
        mpfr_init(r22021);
        mpfr_init(r22022);
        mpfr_init(r22023);
        mpfr_init(r22024);
        mpfr_init(r22025);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22010, ky, MPFR_RNDN);
        mpfr_sin(r22011, r22010, MPFR_RNDN);
        mpfr_set_d(r22012, kx, MPFR_RNDN);
        mpfr_sin(r22013, r22012, MPFR_RNDN);
        ;
        mpfr_pow(r22015, r22013, r22014, MPFR_RNDN);
        mpfr_cbrt(r22016, r22015, MPFR_RNDN);
        mpfr_mul(r22017, r22016, r22016, MPFR_RNDN);
        mpfr_mul(r22018, r22017, r22016, MPFR_RNDN);
        mpfr_pow(r22019, r22011, r22014, MPFR_RNDN);
        mpfr_add(r22020, r22018, r22019, MPFR_RNDN);
        mpfr_sqrt(r22021, r22020, MPFR_RNDN);
        mpfr_div(r22022, r22011, r22021, MPFR_RNDN);
        mpfr_set_d(r22023, th, MPFR_RNDN);
        mpfr_sin(r22024, r22023, MPFR_RNDN);
        mpfr_mul(r22025, r22022, r22024, MPFR_RNDN);
        return mpfr_get_d(r22025, MPFR_RNDN);
}

static mpfr_t r22026, r22027, r22028, r22029, r22030, r22031, r22032, r22033, r22034, r22035, r22036, r22037, r22038, r22039, r22040, r22041;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(272);
        mpfr_init(r22026);
        mpfr_init(r22027);
        mpfr_init(r22028);
        mpfr_init(r22029);
        mpfr_init_set_str(r22030, "2", 10, MPFR_RNDN);
        mpfr_init(r22031);
        mpfr_init(r22032);
        mpfr_init(r22033);
        mpfr_init(r22034);
        mpfr_init(r22035);
        mpfr_init(r22036);
        mpfr_init(r22037);
        mpfr_init(r22038);
        mpfr_init(r22039);
        mpfr_init(r22040);
        mpfr_init(r22041);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22026, ky, MPFR_RNDN);
        mpfr_sin(r22027, r22026, MPFR_RNDN);
        mpfr_set_d(r22028, kx, MPFR_RNDN);
        mpfr_sin(r22029, r22028, MPFR_RNDN);
        ;
        mpfr_pow(r22031, r22029, r22030, MPFR_RNDN);
        mpfr_cbrt(r22032, r22031, MPFR_RNDN);
        mpfr_mul(r22033, r22032, r22032, MPFR_RNDN);
        mpfr_mul(r22034, r22033, r22032, MPFR_RNDN);
        mpfr_pow(r22035, r22027, r22030, MPFR_RNDN);
        mpfr_add(r22036, r22034, r22035, MPFR_RNDN);
        mpfr_sqrt(r22037, r22036, MPFR_RNDN);
        mpfr_div(r22038, r22027, r22037, MPFR_RNDN);
        mpfr_set_d(r22039, th, MPFR_RNDN);
        mpfr_sin(r22040, r22039, MPFR_RNDN);
        mpfr_mul(r22041, r22038, r22040, MPFR_RNDN);
        return mpfr_get_d(r22041, MPFR_RNDN);
}

