#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 r22290 = ky;
        float r22291 = sin(r22290);
        float r22292 = kx;
        float r22293 = sin(r22292);
        float r22294 = 2;
        float r22295 = pow(r22293, r22294);
        float r22296 = pow(r22291, r22294);
        float r22297 = r22295 + r22296;
        float r22298 = sqrt(r22297);
        float r22299 = r22291 / r22298;
        float r22300 = th;
        float r22301 = sin(r22300);
        float r22302 = r22299 * r22301;
        return r22302;
}

double f_id(double kx, double ky, double th) {
        double r22303 = ky;
        double r22304 = sin(r22303);
        double r22305 = kx;
        double r22306 = sin(r22305);
        double r22307 = 2;
        double r22308 = pow(r22306, r22307);
        double r22309 = pow(r22304, r22307);
        double r22310 = r22308 + r22309;
        double r22311 = sqrt(r22310);
        double r22312 = r22304 / r22311;
        double r22313 = th;
        double r22314 = sin(r22313);
        double r22315 = r22312 * r22314;
        return r22315;
}


double f_of(float kx, float ky, float th) {
        float r22316 = th;
        float r22317 = sin(r22316);
        float r22318 = ky;
        float r22319 = sin(r22318);
        float r22320 = kx;
        float r22321 = sin(r22320);
        float r22322 = hypot(r22319, r22321);
        float r22323 = r22322 / r22319;
        float r22324 = r22317 / r22323;
        return r22324;
}

double f_od(double kx, double ky, double th) {
        double r22325 = th;
        double r22326 = sin(r22325);
        double r22327 = ky;
        double r22328 = sin(r22327);
        double r22329 = kx;
        double r22330 = sin(r22329);
        double r22331 = hypot(r22328, r22330);
        double r22332 = r22331 / r22328;
        double r22333 = r22326 / r22332;
        return r22333;
}

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 r22334, r22335, r22336, r22337, r22338, r22339, r22340, r22341, r22342, r22343, r22344, r22345, r22346;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22334);
        mpfr_init(r22335);
        mpfr_init(r22336);
        mpfr_init(r22337);
        mpfr_init_set_str(r22338, "2", 10, MPFR_RNDN);
        mpfr_init(r22339);
        mpfr_init(r22340);
        mpfr_init(r22341);
        mpfr_init(r22342);
        mpfr_init(r22343);
        mpfr_init(r22344);
        mpfr_init(r22345);
        mpfr_init(r22346);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22334, ky, MPFR_RNDN);
        mpfr_sin(r22335, r22334, MPFR_RNDN);
        mpfr_set_d(r22336, kx, MPFR_RNDN);
        mpfr_sin(r22337, r22336, MPFR_RNDN);
        ;
        mpfr_pow(r22339, r22337, r22338, MPFR_RNDN);
        mpfr_pow(r22340, r22335, r22338, MPFR_RNDN);
        mpfr_add(r22341, r22339, r22340, MPFR_RNDN);
        mpfr_sqrt(r22342, r22341, MPFR_RNDN);
        mpfr_div(r22343, r22335, r22342, MPFR_RNDN);
        mpfr_set_d(r22344, th, MPFR_RNDN);
        mpfr_sin(r22345, r22344, MPFR_RNDN);
        mpfr_mul(r22346, r22343, r22345, MPFR_RNDN);
        return mpfr_get_d(r22346, MPFR_RNDN);
}

static mpfr_t r22347, r22348, r22349, r22350, r22351, r22352, r22353, r22354, r22355;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22347);
        mpfr_init(r22348);
        mpfr_init(r22349);
        mpfr_init(r22350);
        mpfr_init(r22351);
        mpfr_init(r22352);
        mpfr_init(r22353);
        mpfr_init(r22354);
        mpfr_init(r22355);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22347, th, MPFR_RNDN);
        mpfr_sin(r22348, r22347, MPFR_RNDN);
        mpfr_set_d(r22349, ky, MPFR_RNDN);
        mpfr_sin(r22350, r22349, MPFR_RNDN);
        mpfr_set_d(r22351, kx, MPFR_RNDN);
        mpfr_sin(r22352, r22351, MPFR_RNDN);
        mpfr_hypot(r22353, r22350, r22352, MPFR_RNDN);
        mpfr_div(r22354, r22353, r22350, MPFR_RNDN);
        mpfr_div(r22355, r22348, r22354, MPFR_RNDN);
        return mpfr_get_d(r22355, MPFR_RNDN);
}

static mpfr_t r22356, r22357, r22358, r22359, r22360, r22361, r22362, r22363, r22364;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22356);
        mpfr_init(r22357);
        mpfr_init(r22358);
        mpfr_init(r22359);
        mpfr_init(r22360);
        mpfr_init(r22361);
        mpfr_init(r22362);
        mpfr_init(r22363);
        mpfr_init(r22364);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22356, th, MPFR_RNDN);
        mpfr_sin(r22357, r22356, MPFR_RNDN);
        mpfr_set_d(r22358, ky, MPFR_RNDN);
        mpfr_sin(r22359, r22358, MPFR_RNDN);
        mpfr_set_d(r22360, kx, MPFR_RNDN);
        mpfr_sin(r22361, r22360, MPFR_RNDN);
        mpfr_hypot(r22362, r22359, r22361, MPFR_RNDN);
        mpfr_div(r22363, r22362, r22359, MPFR_RNDN);
        mpfr_div(r22364, r22357, r22363, MPFR_RNDN);
        return mpfr_get_d(r22364, MPFR_RNDN);
}