#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 r22009 = ky;
        float r22010 = sin(r22009);
        float r22011 = kx;
        float r22012 = sin(r22011);
        float r22013 = 2;
        float r22014 = pow(r22012, r22013);
        float r22015 = pow(r22010, r22013);
        float r22016 = r22014 + r22015;
        float r22017 = sqrt(r22016);
        float r22018 = r22010 / r22017;
        float r22019 = th;
        float r22020 = sin(r22019);
        float r22021 = r22018 * r22020;
        return r22021;
}

double f_id(double kx, double ky, double th) {
        double r22022 = ky;
        double r22023 = sin(r22022);
        double r22024 = kx;
        double r22025 = sin(r22024);
        double r22026 = 2;
        double r22027 = pow(r22025, r22026);
        double r22028 = pow(r22023, r22026);
        double r22029 = r22027 + r22028;
        double r22030 = sqrt(r22029);
        double r22031 = r22023 / r22030;
        double r22032 = th;
        double r22033 = sin(r22032);
        double r22034 = r22031 * r22033;
        return r22034;
}


double f_of(float kx, float ky, float th) {
        float r22035 = th;
        float r22036 = sin(r22035);
        float r22037 = ky;
        float r22038 = sin(r22037);
        float r22039 = kx;
        float r22040 = sin(r22039);
        float r22041 = hypot(r22038, r22040);
        float r22042 = r22041 / r22038;
        float r22043 = r22036 / r22042;
        return r22043;
}

double f_od(double kx, double ky, double th) {
        double r22044 = th;
        double r22045 = sin(r22044);
        double r22046 = ky;
        double r22047 = sin(r22046);
        double r22048 = kx;
        double r22049 = sin(r22048);
        double r22050 = hypot(r22047, r22049);
        double r22051 = r22050 / r22047;
        double r22052 = r22045 / r22051;
        return r22052;
}

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 r22053, r22054, r22055, r22056, r22057, r22058, r22059, r22060, r22061, r22062, r22063, r22064, r22065;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init(r22053);
        mpfr_init(r22054);
        mpfr_init(r22055);
        mpfr_init(r22056);
        mpfr_init_set_str(r22057, "2", 10, MPFR_RNDN);
        mpfr_init(r22058);
        mpfr_init(r22059);
        mpfr_init(r22060);
        mpfr_init(r22061);
        mpfr_init(r22062);
        mpfr_init(r22063);
        mpfr_init(r22064);
        mpfr_init(r22065);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22053, ky, MPFR_RNDN);
        mpfr_sin(r22054, r22053, MPFR_RNDN);
        mpfr_set_d(r22055, kx, MPFR_RNDN);
        mpfr_sin(r22056, r22055, MPFR_RNDN);
        ;
        mpfr_pow(r22058, r22056, r22057, MPFR_RNDN);
        mpfr_pow(r22059, r22054, r22057, MPFR_RNDN);
        mpfr_add(r22060, r22058, r22059, MPFR_RNDN);
        mpfr_sqrt(r22061, r22060, MPFR_RNDN);
        mpfr_div(r22062, r22054, r22061, MPFR_RNDN);
        mpfr_set_d(r22063, th, MPFR_RNDN);
        mpfr_sin(r22064, r22063, MPFR_RNDN);
        mpfr_mul(r22065, r22062, r22064, MPFR_RNDN);
        return mpfr_get_d(r22065, MPFR_RNDN);
}

static mpfr_t r22066, r22067, r22068, r22069, r22070, r22071, r22072, r22073, r22074;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init(r22066);
        mpfr_init(r22067);
        mpfr_init(r22068);
        mpfr_init(r22069);
        mpfr_init(r22070);
        mpfr_init(r22071);
        mpfr_init(r22072);
        mpfr_init(r22073);
        mpfr_init(r22074);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22066, th, MPFR_RNDN);
        mpfr_sin(r22067, r22066, MPFR_RNDN);
        mpfr_set_d(r22068, ky, MPFR_RNDN);
        mpfr_sin(r22069, r22068, MPFR_RNDN);
        mpfr_set_d(r22070, kx, MPFR_RNDN);
        mpfr_sin(r22071, r22070, MPFR_RNDN);
        mpfr_hypot(r22072, r22069, r22071, MPFR_RNDN);
        mpfr_div(r22073, r22072, r22069, MPFR_RNDN);
        mpfr_div(r22074, r22067, r22073, MPFR_RNDN);
        return mpfr_get_d(r22074, MPFR_RNDN);
}

static mpfr_t r22075, r22076, r22077, r22078, r22079, r22080, r22081, r22082, r22083;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init(r22075);
        mpfr_init(r22076);
        mpfr_init(r22077);
        mpfr_init(r22078);
        mpfr_init(r22079);
        mpfr_init(r22080);
        mpfr_init(r22081);
        mpfr_init(r22082);
        mpfr_init(r22083);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22075, th, MPFR_RNDN);
        mpfr_sin(r22076, r22075, MPFR_RNDN);
        mpfr_set_d(r22077, ky, MPFR_RNDN);
        mpfr_sin(r22078, r22077, MPFR_RNDN);
        mpfr_set_d(r22079, kx, MPFR_RNDN);
        mpfr_sin(r22080, r22079, MPFR_RNDN);
        mpfr_hypot(r22081, r22078, r22080, MPFR_RNDN);
        mpfr_div(r22082, r22081, r22078, MPFR_RNDN);
        mpfr_div(r22083, r22076, r22082, MPFR_RNDN);
        return mpfr_get_d(r22083, MPFR_RNDN);
}