#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 r21982 = ky;
        float r21983 = sin(r21982);
        float r21984 = kx;
        float r21985 = sin(r21984);
        float r21986 = 2;
        float r21987 = pow(r21985, r21986);
        float r21988 = pow(r21983, r21986);
        float r21989 = r21987 + r21988;
        float r21990 = sqrt(r21989);
        float r21991 = r21983 / r21990;
        float r21992 = th;
        float r21993 = sin(r21992);
        float r21994 = r21991 * r21993;
        return r21994;
}

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


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

double f_od(double kx, double ky, double th) {
        double r22017 = th;
        double r22018 = sin(r22017);
        double r22019 = ky;
        double r22020 = sin(r22019);
        double r22021 = kx;
        double r22022 = sin(r22021);
        double r22023 = hypot(r22020, r22022);
        double r22024 = r22020 / r22023;
        double r22025 = r22018 * r22024;
        return r22025;
}

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 r22026, r22027, r22028, r22029, r22030, r22031, r22032, r22033, r22034, r22035, r22036, r22037, r22038;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        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);
}

double f_im(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_pow(r22032, r22027, r22030, MPFR_RNDN);
        mpfr_add(r22033, r22031, r22032, MPFR_RNDN);
        mpfr_sqrt(r22034, r22033, MPFR_RNDN);
        mpfr_div(r22035, r22027, r22034, MPFR_RNDN);
        mpfr_set_d(r22036, th, MPFR_RNDN);
        mpfr_sin(r22037, r22036, MPFR_RNDN);
        mpfr_mul(r22038, r22035, 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_fm() {
        mpfr_set_default_prec(336);
        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_fm(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, r22042, r22045, MPFR_RNDN);
        mpfr_mul(r22047, r22040, r22046, MPFR_RNDN);
        return mpfr_get_d(r22047, MPFR_RNDN);
}

static mpfr_t r22048, r22049, r22050, r22051, r22052, r22053, r22054, r22055, r22056;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init(r22048);
        mpfr_init(r22049);
        mpfr_init(r22050);
        mpfr_init(r22051);
        mpfr_init(r22052);
        mpfr_init(r22053);
        mpfr_init(r22054);
        mpfr_init(r22055);
        mpfr_init(r22056);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22048, th, MPFR_RNDN);
        mpfr_sin(r22049, r22048, MPFR_RNDN);
        mpfr_set_d(r22050, ky, MPFR_RNDN);
        mpfr_sin(r22051, r22050, MPFR_RNDN);
        mpfr_set_d(r22052, kx, MPFR_RNDN);
        mpfr_sin(r22053, r22052, MPFR_RNDN);
        mpfr_hypot(r22054, r22051, r22053, MPFR_RNDN);
        mpfr_div(r22055, r22051, r22054, MPFR_RNDN);
        mpfr_mul(r22056, r22049, r22055, MPFR_RNDN);
        return mpfr_get_d(r22056, MPFR_RNDN);
}