#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 r22351 = th;
        float r22352 = cos(r22351);
        float r22353 = 2;
        float r22354 = sqrt(r22353);
        float r22355 = r22352 / r22354;
        float r22356 = a1;
        float r22357 = r22356 * r22356;
        float r22358 = r22355 * r22357;
        float r22359 = a2;
        float r22360 = r22359 * r22359;
        float r22361 = r22355 * r22360;
        float r22362 = r22358 + r22361;
        return r22362;
}

double f_id(double a1, double a2, double th) {
        double r22363 = th;
        double r22364 = cos(r22363);
        double r22365 = 2;
        double r22366 = sqrt(r22365);
        double r22367 = r22364 / r22366;
        double r22368 = a1;
        double r22369 = r22368 * r22368;
        double r22370 = r22367 * r22369;
        double r22371 = a2;
        double r22372 = r22371 * r22371;
        double r22373 = r22367 * r22372;
        double r22374 = r22370 + r22373;
        return r22374;
}


double f_of(float a1, float a2, float th) {
        float r22375 = th;
        float r22376 = cos(r22375);
        float r22377 = 2;
        float r22378 = sqrt(r22377);
        float r22379 = r22376 / r22378;
        float r22380 = a1;
        float r22381 = r22379 * r22380;
        float r22382 = r22381 * r22380;
        float r22383 = a2;
        float r22384 = r22383 * r22383;
        float r22385 = r22379 * r22384;
        float r22386 = r22382 + r22385;
        return r22386;
}

double f_od(double a1, double a2, double th) {
        double r22387 = th;
        double r22388 = cos(r22387);
        double r22389 = 2;
        double r22390 = sqrt(r22389);
        double r22391 = r22388 / r22390;
        double r22392 = a1;
        double r22393 = r22391 * r22392;
        double r22394 = r22393 * r22392;
        double r22395 = a2;
        double r22396 = r22395 * r22395;
        double r22397 = r22391 * r22396;
        double r22398 = r22394 + r22397;
        return r22398;
}

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 r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22399);
        mpfr_init(r22400);
        mpfr_init_set_str(r22401, "2", 10, MPFR_RNDN);
        mpfr_init(r22402);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init(r22405);
        mpfr_init(r22406);
        mpfr_init(r22407);
        mpfr_init(r22408);
        mpfr_init(r22409);
        mpfr_init(r22410);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22399, th, MPFR_RNDN);
        mpfr_cos(r22400, r22399, MPFR_RNDN);
        ;
        mpfr_sqrt(r22402, r22401, MPFR_RNDN);
        mpfr_div(r22403, r22400, r22402, MPFR_RNDN);
        mpfr_set_d(r22404, a1, MPFR_RNDN);
        mpfr_mul(r22405, r22404, r22404, MPFR_RNDN);
        mpfr_mul(r22406, r22403, r22405, MPFR_RNDN);
        mpfr_set_d(r22407, a2, MPFR_RNDN);
        mpfr_mul(r22408, r22407, r22407, MPFR_RNDN);
        mpfr_mul(r22409, r22403, r22408, MPFR_RNDN);
        mpfr_add(r22410, r22406, r22409, MPFR_RNDN);
        return mpfr_get_d(r22410, MPFR_RNDN);
}

static mpfr_t r22411, r22412, r22413, r22414, r22415, r22416, r22417, r22418, r22419, r22420, r22421, r22422;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init_set_str(r22413, "2", 10, MPFR_RNDN);
        mpfr_init(r22414);
        mpfr_init(r22415);
        mpfr_init(r22416);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init(r22420);
        mpfr_init(r22421);
        mpfr_init(r22422);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22411, th, MPFR_RNDN);
        mpfr_cos(r22412, r22411, MPFR_RNDN);
        ;
        mpfr_sqrt(r22414, r22413, MPFR_RNDN);
        mpfr_div(r22415, r22412, r22414, MPFR_RNDN);
        mpfr_set_d(r22416, a1, MPFR_RNDN);
        mpfr_mul(r22417, r22415, r22416, MPFR_RNDN);
        mpfr_mul(r22418, r22417, r22416, MPFR_RNDN);
        mpfr_set_d(r22419, a2, MPFR_RNDN);
        mpfr_mul(r22420, r22419, r22419, MPFR_RNDN);
        mpfr_mul(r22421, r22415, r22420, MPFR_RNDN);
        mpfr_add(r22422, r22418, r22421, MPFR_RNDN);
        return mpfr_get_d(r22422, MPFR_RNDN);
}

static mpfr_t r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430, r22431, r22432, r22433, r22434;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22423);
        mpfr_init(r22424);
        mpfr_init_set_str(r22425, "2", 10, MPFR_RNDN);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init(r22430);
        mpfr_init(r22431);
        mpfr_init(r22432);
        mpfr_init(r22433);
        mpfr_init(r22434);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22423, th, MPFR_RNDN);
        mpfr_cos(r22424, r22423, MPFR_RNDN);
        ;
        mpfr_sqrt(r22426, r22425, MPFR_RNDN);
        mpfr_div(r22427, r22424, r22426, MPFR_RNDN);
        mpfr_set_d(r22428, a1, MPFR_RNDN);
        mpfr_mul(r22429, r22427, r22428, MPFR_RNDN);
        mpfr_mul(r22430, r22429, r22428, MPFR_RNDN);
        mpfr_set_d(r22431, a2, MPFR_RNDN);
        mpfr_mul(r22432, r22431, r22431, MPFR_RNDN);
        mpfr_mul(r22433, r22427, r22432, MPFR_RNDN);
        mpfr_add(r22434, r22430, r22433, MPFR_RNDN);
        return mpfr_get_d(r22434, MPFR_RNDN);
}