#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 r21950 = ky;
        float r21951 = sin(r21950);
        float r21952 = kx;
        float r21953 = sin(r21952);
        float r21954 = 2;
        float r21955 = pow(r21953, r21954);
        float r21956 = pow(r21951, r21954);
        float r21957 = r21955 + r21956;
        float r21958 = sqrt(r21957);
        float r21959 = r21951 / r21958;
        float r21960 = th;
        float r21961 = sin(r21960);
        float r21962 = r21959 * r21961;
        return r21962;
}

double f_id(double kx, double ky, double th) {
        double r21963 = ky;
        double r21964 = sin(r21963);
        double r21965 = kx;
        double r21966 = sin(r21965);
        double r21967 = 2;
        double r21968 = pow(r21966, r21967);
        double r21969 = pow(r21964, r21967);
        double r21970 = r21968 + r21969;
        double r21971 = sqrt(r21970);
        double r21972 = r21964 / r21971;
        double r21973 = th;
        double r21974 = sin(r21973);
        double r21975 = r21972 * r21974;
        return r21975;
}


double f_of(float kx, float ky, float th) {
        float r21976 = ky;
        float r21977 = sin(r21976);
        float r21978 = kx;
        float r21979 = sin(r21978);
        float r21980 = 2;
        float r21981 = pow(r21979, r21980);
        float r21982 = cbrt(r21981);
        float r21983 = r21982 * r21982;
        float r21984 = r21983 * r21982;
        float r21985 = pow(r21977, r21980);
        float r21986 = r21984 + r21985;
        float r21987 = sqrt(r21986);
        float r21988 = r21977 / r21987;
        float r21989 = th;
        float r21990 = sin(r21989);
        float r21991 = r21988 * r21990;
        return r21991;
}

double f_od(double kx, double ky, double th) {
        double r21992 = ky;
        double r21993 = sin(r21992);
        double r21994 = kx;
        double r21995 = sin(r21994);
        double r21996 = 2;
        double r21997 = pow(r21995, r21996);
        double r21998 = cbrt(r21997);
        double r21999 = r21998 * r21998;
        double r22000 = r21999 * r21998;
        double r22001 = pow(r21993, r21996);
        double r22002 = r22000 + r22001;
        double r22003 = sqrt(r22002);
        double r22004 = r21993 / r22003;
        double r22005 = th;
        double r22006 = sin(r22005);
        double r22007 = r22004 * r22006;
        return r22007;
}

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 r22008, r22009, r22010, r22011, r22012, r22013, r22014, r22015, r22016, r22017, r22018, r22019, r22020;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22008);
        mpfr_init(r22009);
        mpfr_init(r22010);
        mpfr_init(r22011);
        mpfr_init_set_str(r22012, "2", 10, MPFR_RNDN);
        mpfr_init(r22013);
        mpfr_init(r22014);
        mpfr_init(r22015);
        mpfr_init(r22016);
        mpfr_init(r22017);
        mpfr_init(r22018);
        mpfr_init(r22019);
        mpfr_init(r22020);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22008, ky, MPFR_RNDN);
        mpfr_sin(r22009, r22008, MPFR_RNDN);
        mpfr_set_d(r22010, kx, MPFR_RNDN);
        mpfr_sin(r22011, r22010, MPFR_RNDN);
        ;
        mpfr_pow(r22013, r22011, r22012, MPFR_RNDN);
        mpfr_pow(r22014, r22009, r22012, MPFR_RNDN);
        mpfr_add(r22015, r22013, r22014, MPFR_RNDN);
        mpfr_sqrt(r22016, r22015, MPFR_RNDN);
        mpfr_div(r22017, r22009, r22016, MPFR_RNDN);
        mpfr_set_d(r22018, th, MPFR_RNDN);
        mpfr_sin(r22019, r22018, MPFR_RNDN);
        mpfr_mul(r22020, r22017, r22019, MPFR_RNDN);
        return mpfr_get_d(r22020, MPFR_RNDN);
}

static mpfr_t r22021, r22022, r22023, r22024, r22025, r22026, r22027, r22028, r22029, r22030, r22031, r22032, r22033, r22034, r22035, r22036;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22021);
        mpfr_init(r22022);
        mpfr_init(r22023);
        mpfr_init(r22024);
        mpfr_init_set_str(r22025, "2", 10, MPFR_RNDN);
        mpfr_init(r22026);
        mpfr_init(r22027);
        mpfr_init(r22028);
        mpfr_init(r22029);
        mpfr_init(r22030);
        mpfr_init(r22031);
        mpfr_init(r22032);
        mpfr_init(r22033);
        mpfr_init(r22034);
        mpfr_init(r22035);
        mpfr_init(r22036);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22021, ky, MPFR_RNDN);
        mpfr_sin(r22022, r22021, MPFR_RNDN);
        mpfr_set_d(r22023, kx, MPFR_RNDN);
        mpfr_sin(r22024, r22023, MPFR_RNDN);
        ;
        mpfr_pow(r22026, r22024, r22025, MPFR_RNDN);
        mpfr_cbrt(r22027, r22026, MPFR_RNDN);
        mpfr_mul(r22028, r22027, r22027, MPFR_RNDN);
        mpfr_mul(r22029, r22028, r22027, MPFR_RNDN);
        mpfr_pow(r22030, r22022, r22025, MPFR_RNDN);
        mpfr_add(r22031, r22029, r22030, MPFR_RNDN);
        mpfr_sqrt(r22032, r22031, MPFR_RNDN);
        mpfr_div(r22033, r22022, r22032, MPFR_RNDN);
        mpfr_set_d(r22034, th, MPFR_RNDN);
        mpfr_sin(r22035, r22034, MPFR_RNDN);
        mpfr_mul(r22036, r22033, r22035, MPFR_RNDN);
        return mpfr_get_d(r22036, MPFR_RNDN);
}

static mpfr_t r22037, r22038, r22039, r22040, r22041, r22042, r22043, r22044, r22045, r22046, r22047, r22048, r22049, r22050, r22051, r22052;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22037);
        mpfr_init(r22038);
        mpfr_init(r22039);
        mpfr_init(r22040);
        mpfr_init_set_str(r22041, "2", 10, MPFR_RNDN);
        mpfr_init(r22042);
        mpfr_init(r22043);
        mpfr_init(r22044);
        mpfr_init(r22045);
        mpfr_init(r22046);
        mpfr_init(r22047);
        mpfr_init(r22048);
        mpfr_init(r22049);
        mpfr_init(r22050);
        mpfr_init(r22051);
        mpfr_init(r22052);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22037, ky, MPFR_RNDN);
        mpfr_sin(r22038, r22037, MPFR_RNDN);
        mpfr_set_d(r22039, kx, MPFR_RNDN);
        mpfr_sin(r22040, r22039, MPFR_RNDN);
        ;
        mpfr_pow(r22042, r22040, r22041, MPFR_RNDN);
        mpfr_cbrt(r22043, r22042, MPFR_RNDN);
        mpfr_mul(r22044, r22043, r22043, MPFR_RNDN);
        mpfr_mul(r22045, r22044, r22043, MPFR_RNDN);
        mpfr_pow(r22046, r22038, r22041, MPFR_RNDN);
        mpfr_add(r22047, r22045, r22046, MPFR_RNDN);
        mpfr_sqrt(r22048, r22047, MPFR_RNDN);
        mpfr_div(r22049, r22038, r22048, MPFR_RNDN);
        mpfr_set_d(r22050, th, MPFR_RNDN);
        mpfr_sin(r22051, r22050, MPFR_RNDN);
        mpfr_mul(r22052, r22049, r22051, MPFR_RNDN);
        return mpfr_get_d(r22052, MPFR_RNDN);
}

