#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Migdal et al, Equation (64)";

double f_if(float a1, float a2, float th) {
        float r22284 = th;
        float r22285 = cos(r22284);
        float r22286 = 2;
        float r22287 = sqrt(r22286);
        float r22288 = r22285 / r22287;
        float r22289 = a1;
        float r22290 = r22289 * r22289;
        float r22291 = r22288 * r22290;
        float r22292 = a2;
        float r22293 = r22292 * r22292;
        float r22294 = r22288 * r22293;
        float r22295 = r22291 + r22294;
        return r22295;
}

double f_id(double a1, double a2, double th) {
        double r22296 = th;
        double r22297 = cos(r22296);
        double r22298 = 2;
        double r22299 = sqrt(r22298);
        double r22300 = r22297 / r22299;
        double r22301 = a1;
        double r22302 = r22301 * r22301;
        double r22303 = r22300 * r22302;
        double r22304 = a2;
        double r22305 = r22304 * r22304;
        double r22306 = r22300 * r22305;
        double r22307 = r22303 + r22306;
        return r22307;
}


double f_of(float a1, float a2, float th) {
        float r22308 = th;
        float r22309 = cos(r22308);
        float r22310 = 2;
        float r22311 = sqrt(r22310);
        float r22312 = r22309 / r22311;
        float r22313 = a1;
        float r22314 = r22312 * r22313;
        float r22315 = r22314 * r22313;
        float r22316 = a2;
        float r22317 = r22316 * r22316;
        float r22318 = r22312 * r22317;
        float r22319 = r22315 + r22318;
        return r22319;
}

double f_od(double a1, double a2, double th) {
        double r22320 = th;
        double r22321 = cos(r22320);
        double r22322 = 2;
        double r22323 = sqrt(r22322);
        double r22324 = r22321 / r22323;
        double r22325 = a1;
        double r22326 = r22324 * r22325;
        double r22327 = r22326 * r22325;
        double r22328 = a2;
        double r22329 = r22328 * r22328;
        double r22330 = r22324 * r22329;
        double r22331 = r22327 + r22330;
        return r22331;
}

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 r22332, r22333, r22334, r22335, r22336, r22337, r22338, r22339, r22340, r22341, r22342, r22343;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22332);
        mpfr_init(r22333);
        mpfr_init_set_str(r22334, "2", 10, MPFR_RNDN);
        mpfr_init(r22335);
        mpfr_init(r22336);
        mpfr_init(r22337);
        mpfr_init(r22338);
        mpfr_init(r22339);
        mpfr_init(r22340);
        mpfr_init(r22341);
        mpfr_init(r22342);
        mpfr_init(r22343);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22332, th, MPFR_RNDN);
        mpfr_cos(r22333, r22332, MPFR_RNDN);
        ;
        mpfr_sqrt(r22335, r22334, MPFR_RNDN);
        mpfr_div(r22336, r22333, r22335, MPFR_RNDN);
        mpfr_set_d(r22337, a1, MPFR_RNDN);
        mpfr_mul(r22338, r22337, r22337, MPFR_RNDN);
        mpfr_mul(r22339, r22336, r22338, MPFR_RNDN);
        mpfr_set_d(r22340, a2, MPFR_RNDN);
        mpfr_mul(r22341, r22340, r22340, MPFR_RNDN);
        mpfr_mul(r22342, r22336, r22341, MPFR_RNDN);
        mpfr_add(r22343, r22339, r22342, MPFR_RNDN);
        return mpfr_get_d(r22343, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22344);
        mpfr_init(r22345);
        mpfr_init_set_str(r22346, "2", 10, MPFR_RNDN);
        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 a1, double a2, double th) {
        mpfr_set_d(r22344, th, MPFR_RNDN);
        mpfr_cos(r22345, r22344, MPFR_RNDN);
        ;
        mpfr_sqrt(r22347, r22346, MPFR_RNDN);
        mpfr_div(r22348, r22345, r22347, MPFR_RNDN);
        mpfr_set_d(r22349, a1, MPFR_RNDN);
        mpfr_mul(r22350, r22348, r22349, MPFR_RNDN);
        mpfr_mul(r22351, r22350, r22349, MPFR_RNDN);
        mpfr_set_d(r22352, a2, MPFR_RNDN);
        mpfr_mul(r22353, r22352, r22352, MPFR_RNDN);
        mpfr_mul(r22354, r22348, r22353, MPFR_RNDN);
        mpfr_add(r22355, r22351, r22354, MPFR_RNDN);
        return mpfr_get_d(r22355, MPFR_RNDN);
}

static mpfr_t r22356, r22357, r22358, r22359, r22360, r22361, r22362, r22363, r22364, r22365, r22366, r22367;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22356);
        mpfr_init(r22357);
        mpfr_init_set_str(r22358, "2", 10, MPFR_RNDN);
        mpfr_init(r22359);
        mpfr_init(r22360);
        mpfr_init(r22361);
        mpfr_init(r22362);
        mpfr_init(r22363);
        mpfr_init(r22364);
        mpfr_init(r22365);
        mpfr_init(r22366);
        mpfr_init(r22367);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22356, th, MPFR_RNDN);
        mpfr_cos(r22357, r22356, MPFR_RNDN);
        ;
        mpfr_sqrt(r22359, r22358, MPFR_RNDN);
        mpfr_div(r22360, r22357, r22359, MPFR_RNDN);
        mpfr_set_d(r22361, a1, MPFR_RNDN);
        mpfr_mul(r22362, r22360, r22361, MPFR_RNDN);
        mpfr_mul(r22363, r22362, r22361, MPFR_RNDN);
        mpfr_set_d(r22364, a2, MPFR_RNDN);
        mpfr_mul(r22365, r22364, r22364, MPFR_RNDN);
        mpfr_mul(r22366, r22360, r22365, MPFR_RNDN);
        mpfr_add(r22367, r22363, r22366, MPFR_RNDN);
        return mpfr_get_d(r22367, MPFR_RNDN);
}