#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 r22041 = ky;
        float r22042 = sin(r22041);
        float r22043 = kx;
        float r22044 = sin(r22043);
        float r22045 = 2;
        float r22046 = pow(r22044, r22045);
        float r22047 = pow(r22042, r22045);
        float r22048 = r22046 + r22047;
        float r22049 = sqrt(r22048);
        float r22050 = r22042 / r22049;
        float r22051 = th;
        float r22052 = sin(r22051);
        float r22053 = r22050 * r22052;
        return r22053;
}

double f_id(double kx, double ky, double th) {
        double r22054 = ky;
        double r22055 = sin(r22054);
        double r22056 = kx;
        double r22057 = sin(r22056);
        double r22058 = 2;
        double r22059 = pow(r22057, r22058);
        double r22060 = pow(r22055, r22058);
        double r22061 = r22059 + r22060;
        double r22062 = sqrt(r22061);
        double r22063 = r22055 / r22062;
        double r22064 = th;
        double r22065 = sin(r22064);
        double r22066 = r22063 * r22065;
        return r22066;
}


double f_of(float kx, float ky, float th) {
        float r22067 = th;
        float r22068 = sin(r22067);
        float r22069 = ky;
        float r22070 = sin(r22069);
        float r22071 = kx;
        float r22072 = sin(r22071);
        float r22073 = hypot(r22070, r22072);
        float r22074 = r22073 / r22070;
        float r22075 = r22068 / r22074;
        return r22075;
}

double f_od(double kx, double ky, double th) {
        double r22076 = th;
        double r22077 = sin(r22076);
        double r22078 = ky;
        double r22079 = sin(r22078);
        double r22080 = kx;
        double r22081 = sin(r22080);
        double r22082 = hypot(r22079, r22081);
        double r22083 = r22082 / r22079;
        double r22084 = r22077 / r22083;
        return r22084;
}

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 r22085, r22086, r22087, r22088, r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22085);
        mpfr_init(r22086);
        mpfr_init(r22087);
        mpfr_init(r22088);
        mpfr_init_set_str(r22089, "2", 10, MPFR_RNDN);
        mpfr_init(r22090);
        mpfr_init(r22091);
        mpfr_init(r22092);
        mpfr_init(r22093);
        mpfr_init(r22094);
        mpfr_init(r22095);
        mpfr_init(r22096);
        mpfr_init(r22097);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22085, ky, MPFR_RNDN);
        mpfr_sin(r22086, r22085, MPFR_RNDN);
        mpfr_set_d(r22087, kx, MPFR_RNDN);
        mpfr_sin(r22088, r22087, MPFR_RNDN);
        ;
        mpfr_pow(r22090, r22088, r22089, MPFR_RNDN);
        mpfr_pow(r22091, r22086, r22089, MPFR_RNDN);
        mpfr_add(r22092, r22090, r22091, MPFR_RNDN);
        mpfr_sqrt(r22093, r22092, MPFR_RNDN);
        mpfr_div(r22094, r22086, r22093, MPFR_RNDN);
        mpfr_set_d(r22095, th, MPFR_RNDN);
        mpfr_sin(r22096, r22095, MPFR_RNDN);
        mpfr_mul(r22097, r22094, r22096, MPFR_RNDN);
        return mpfr_get_d(r22097, MPFR_RNDN);
}

static mpfr_t r22098, r22099, r22100, r22101, r22102, r22103, r22104, r22105, r22106;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22098);
        mpfr_init(r22099);
        mpfr_init(r22100);
        mpfr_init(r22101);
        mpfr_init(r22102);
        mpfr_init(r22103);
        mpfr_init(r22104);
        mpfr_init(r22105);
        mpfr_init(r22106);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22098, th, MPFR_RNDN);
        mpfr_sin(r22099, r22098, MPFR_RNDN);
        mpfr_set_d(r22100, ky, MPFR_RNDN);
        mpfr_sin(r22101, r22100, MPFR_RNDN);
        mpfr_set_d(r22102, kx, MPFR_RNDN);
        mpfr_sin(r22103, r22102, MPFR_RNDN);
        mpfr_hypot(r22104, r22101, r22103, MPFR_RNDN);
        mpfr_div(r22105, r22104, r22101, MPFR_RNDN);
        mpfr_div(r22106, r22099, r22105, MPFR_RNDN);
        return mpfr_get_d(r22106, MPFR_RNDN);
}

static mpfr_t r22107, r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22107);
        mpfr_init(r22108);
        mpfr_init(r22109);
        mpfr_init(r22110);
        mpfr_init(r22111);
        mpfr_init(r22112);
        mpfr_init(r22113);
        mpfr_init(r22114);
        mpfr_init(r22115);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22107, th, MPFR_RNDN);
        mpfr_sin(r22108, r22107, MPFR_RNDN);
        mpfr_set_d(r22109, ky, MPFR_RNDN);
        mpfr_sin(r22110, r22109, MPFR_RNDN);
        mpfr_set_d(r22111, kx, MPFR_RNDN);
        mpfr_sin(r22112, r22111, MPFR_RNDN);
        mpfr_hypot(r22113, r22110, r22112, MPFR_RNDN);
        mpfr_div(r22114, r22113, r22110, MPFR_RNDN);
        mpfr_div(r22115, r22108, r22114, MPFR_RNDN);
        return mpfr_get_d(r22115, MPFR_RNDN);
}