#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 r22258 = ky;
        float r22259 = sin(r22258);
        float r22260 = kx;
        float r22261 = sin(r22260);
        float r22262 = 2;
        float r22263 = pow(r22261, r22262);
        float r22264 = pow(r22259, r22262);
        float r22265 = r22263 + r22264;
        float r22266 = sqrt(r22265);
        float r22267 = r22259 / r22266;
        float r22268 = th;
        float r22269 = sin(r22268);
        float r22270 = r22267 * r22269;
        return r22270;
}

double f_id(double kx, double ky, double th) {
        double r22271 = ky;
        double r22272 = sin(r22271);
        double r22273 = kx;
        double r22274 = sin(r22273);
        double r22275 = 2;
        double r22276 = pow(r22274, r22275);
        double r22277 = pow(r22272, r22275);
        double r22278 = r22276 + r22277;
        double r22279 = sqrt(r22278);
        double r22280 = r22272 / r22279;
        double r22281 = th;
        double r22282 = sin(r22281);
        double r22283 = r22280 * r22282;
        return r22283;
}


double f_of(float kx, float ky, float th) {
        float r22284 = ky;
        float r22285 = sin(r22284);
        float r22286 = 1;
        float r22287 = kx;
        float r22288 = sin(r22287);
        float r22289 = 2;
        float r22290 = pow(r22288, r22289);
        float r22291 = pow(r22285, r22289);
        float r22292 = r22290 + r22291;
        float r22293 = sqrt(r22292);
        float r22294 = r22286 / r22293;
        float r22295 = th;
        float r22296 = sin(r22295);
        float r22297 = r22294 * r22296;
        float r22298 = r22285 * r22297;
        return r22298;
}

double f_od(double kx, double ky, double th) {
        double r22299 = ky;
        double r22300 = sin(r22299);
        double r22301 = 1;
        double r22302 = kx;
        double r22303 = sin(r22302);
        double r22304 = 2;
        double r22305 = pow(r22303, r22304);
        double r22306 = pow(r22300, r22304);
        double r22307 = r22305 + r22306;
        double r22308 = sqrt(r22307);
        double r22309 = r22301 / r22308;
        double r22310 = th;
        double r22311 = sin(r22310);
        double r22312 = r22309 * r22311;
        double r22313 = r22300 * r22312;
        return r22313;
}

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 r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321, r22322, r22323, r22324, r22325, r22326;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22314);
        mpfr_init(r22315);
        mpfr_init(r22316);
        mpfr_init(r22317);
        mpfr_init_set_str(r22318, "2", 10, MPFR_RNDN);
        mpfr_init(r22319);
        mpfr_init(r22320);
        mpfr_init(r22321);
        mpfr_init(r22322);
        mpfr_init(r22323);
        mpfr_init(r22324);
        mpfr_init(r22325);
        mpfr_init(r22326);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22314, ky, MPFR_RNDN);
        mpfr_sin(r22315, r22314, MPFR_RNDN);
        mpfr_set_d(r22316, kx, MPFR_RNDN);
        mpfr_sin(r22317, r22316, MPFR_RNDN);
        ;
        mpfr_pow(r22319, r22317, r22318, MPFR_RNDN);
        mpfr_pow(r22320, r22315, r22318, MPFR_RNDN);
        mpfr_add(r22321, r22319, r22320, MPFR_RNDN);
        mpfr_sqrt(r22322, r22321, MPFR_RNDN);
        mpfr_div(r22323, r22315, r22322, MPFR_RNDN);
        mpfr_set_d(r22324, th, MPFR_RNDN);
        mpfr_sin(r22325, r22324, MPFR_RNDN);
        mpfr_mul(r22326, r22323, r22325, MPFR_RNDN);
        return mpfr_get_d(r22326, MPFR_RNDN);
}

static mpfr_t r22327, r22328, r22329, r22330, r22331, r22332, r22333, r22334, r22335, r22336, r22337, r22338, r22339, r22340, r22341;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22327);
        mpfr_init(r22328);
        mpfr_init_set_str(r22329, "1", 10, MPFR_RNDN);
        mpfr_init(r22330);
        mpfr_init(r22331);
        mpfr_init_set_str(r22332, "2", 10, MPFR_RNDN);
        mpfr_init(r22333);
        mpfr_init(r22334);
        mpfr_init(r22335);
        mpfr_init(r22336);
        mpfr_init(r22337);
        mpfr_init(r22338);
        mpfr_init(r22339);
        mpfr_init(r22340);
        mpfr_init(r22341);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22327, ky, MPFR_RNDN);
        mpfr_sin(r22328, r22327, MPFR_RNDN);
        ;
        mpfr_set_d(r22330, kx, MPFR_RNDN);
        mpfr_sin(r22331, r22330, MPFR_RNDN);
        ;
        mpfr_pow(r22333, r22331, r22332, MPFR_RNDN);
        mpfr_pow(r22334, r22328, r22332, MPFR_RNDN);
        mpfr_add(r22335, r22333, r22334, MPFR_RNDN);
        mpfr_sqrt(r22336, r22335, MPFR_RNDN);
        mpfr_div(r22337, r22329, r22336, MPFR_RNDN);
        mpfr_set_d(r22338, th, MPFR_RNDN);
        mpfr_sin(r22339, r22338, MPFR_RNDN);
        mpfr_mul(r22340, r22337, r22339, MPFR_RNDN);
        mpfr_mul(r22341, r22328, r22340, MPFR_RNDN);
        return mpfr_get_d(r22341, MPFR_RNDN);
}

static mpfr_t r22342, r22343, r22344, r22345, r22346, r22347, r22348, r22349, r22350, r22351, r22352, r22353, r22354, r22355, r22356;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22342);
        mpfr_init(r22343);
        mpfr_init_set_str(r22344, "1", 10, MPFR_RNDN);
        mpfr_init(r22345);
        mpfr_init(r22346);
        mpfr_init_set_str(r22347, "2", 10, MPFR_RNDN);
        mpfr_init(r22348);
        mpfr_init(r22349);
        mpfr_init(r22350);
        mpfr_init(r22351);
        mpfr_init(r22352);
        mpfr_init(r22353);
        mpfr_init(r22354);
        mpfr_init(r22355);
        mpfr_init(r22356);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22342, ky, MPFR_RNDN);
        mpfr_sin(r22343, r22342, MPFR_RNDN);
        ;
        mpfr_set_d(r22345, kx, MPFR_RNDN);
        mpfr_sin(r22346, r22345, MPFR_RNDN);
        ;
        mpfr_pow(r22348, r22346, r22347, MPFR_RNDN);
        mpfr_pow(r22349, r22343, r22347, MPFR_RNDN);
        mpfr_add(r22350, r22348, r22349, MPFR_RNDN);
        mpfr_sqrt(r22351, r22350, MPFR_RNDN);
        mpfr_div(r22352, r22344, r22351, MPFR_RNDN);
        mpfr_set_d(r22353, th, MPFR_RNDN);
        mpfr_sin(r22354, r22353, MPFR_RNDN);
        mpfr_mul(r22355, r22352, r22354, MPFR_RNDN);
        mpfr_mul(r22356, r22343, r22355, MPFR_RNDN);
        return mpfr_get_d(r22356, MPFR_RNDN);
}