#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 r22331 = th;
        float r22332 = cos(r22331);
        float r22333 = 2;
        float r22334 = sqrt(r22333);
        float r22335 = r22332 / r22334;
        float r22336 = a1;
        float r22337 = r22336 * r22336;
        float r22338 = r22335 * r22337;
        float r22339 = a2;
        float r22340 = r22339 * r22339;
        float r22341 = r22335 * r22340;
        float r22342 = r22338 + r22341;
        return r22342;
}

double f_id(double a1, double a2, double th) {
        double r22343 = th;
        double r22344 = cos(r22343);
        double r22345 = 2;
        double r22346 = sqrt(r22345);
        double r22347 = r22344 / r22346;
        double r22348 = a1;
        double r22349 = r22348 * r22348;
        double r22350 = r22347 * r22349;
        double r22351 = a2;
        double r22352 = r22351 * r22351;
        double r22353 = r22347 * r22352;
        double r22354 = r22350 + r22353;
        return r22354;
}


double f_of(float a1, float a2, float th) {
        float r22355 = th;
        float r22356 = cos(r22355);
        float r22357 = a1;
        float r22358 = r22357 * r22357;
        float r22359 = r22356 * r22358;
        float r22360 = 2;
        float r22361 = sqrt(r22360);
        float r22362 = cbrt(r22361);
        float r22363 = r22362 * r22362;
        float r22364 = r22359 / r22363;
        float r22365 = r22364 / r22362;
        float r22366 = r22356 / r22361;
        float r22367 = a2;
        float r22368 = r22367 * r22367;
        float r22369 = r22366 * r22368;
        float r22370 = r22365 + r22369;
        return r22370;
}

double f_od(double a1, double a2, double th) {
        double r22371 = th;
        double r22372 = cos(r22371);
        double r22373 = a1;
        double r22374 = r22373 * r22373;
        double r22375 = r22372 * r22374;
        double r22376 = 2;
        double r22377 = sqrt(r22376);
        double r22378 = cbrt(r22377);
        double r22379 = r22378 * r22378;
        double r22380 = r22375 / r22379;
        double r22381 = r22380 / r22378;
        double r22382 = r22372 / r22377;
        double r22383 = a2;
        double r22384 = r22383 * r22383;
        double r22385 = r22382 * r22384;
        double r22386 = r22381 + r22385;
        return r22386;
}

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 r22387, r22388, r22389, r22390, r22391, r22392, r22393, r22394, r22395, r22396, r22397, r22398;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22387);
        mpfr_init(r22388);
        mpfr_init_set_str(r22389, "2", 10, MPFR_RNDN);
        mpfr_init(r22390);
        mpfr_init(r22391);
        mpfr_init(r22392);
        mpfr_init(r22393);
        mpfr_init(r22394);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init(r22397);
        mpfr_init(r22398);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22387, th, MPFR_RNDN);
        mpfr_cos(r22388, r22387, MPFR_RNDN);
        ;
        mpfr_sqrt(r22390, r22389, MPFR_RNDN);
        mpfr_div(r22391, r22388, r22390, MPFR_RNDN);
        mpfr_set_d(r22392, a1, MPFR_RNDN);
        mpfr_mul(r22393, r22392, r22392, MPFR_RNDN);
        mpfr_mul(r22394, r22391, r22393, MPFR_RNDN);
        mpfr_set_d(r22395, a2, MPFR_RNDN);
        mpfr_mul(r22396, r22395, r22395, MPFR_RNDN);
        mpfr_mul(r22397, r22391, r22396, MPFR_RNDN);
        mpfr_add(r22398, r22394, r22397, MPFR_RNDN);
        return mpfr_get_d(r22398, MPFR_RNDN);
}

static mpfr_t r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22399);
        mpfr_init(r22400);
        mpfr_init(r22401);
        mpfr_init(r22402);
        mpfr_init(r22403);
        mpfr_init_set_str(r22404, "2", 10, MPFR_RNDN);
        mpfr_init(r22405);
        mpfr_init(r22406);
        mpfr_init(r22407);
        mpfr_init(r22408);
        mpfr_init(r22409);
        mpfr_init(r22410);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init(r22413);
        mpfr_init(r22414);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22399, th, MPFR_RNDN);
        mpfr_cos(r22400, r22399, MPFR_RNDN);
        mpfr_set_d(r22401, a1, MPFR_RNDN);
        mpfr_mul(r22402, r22401, r22401, MPFR_RNDN);
        mpfr_mul(r22403, r22400, r22402, MPFR_RNDN);
        ;
        mpfr_sqrt(r22405, r22404, MPFR_RNDN);
        mpfr_cbrt(r22406, r22405, MPFR_RNDN);
        mpfr_mul(r22407, r22406, r22406, MPFR_RNDN);
        mpfr_div(r22408, r22403, r22407, MPFR_RNDN);
        mpfr_div(r22409, r22408, r22406, MPFR_RNDN);
        mpfr_div(r22410, r22400, r22405, MPFR_RNDN);
        mpfr_set_d(r22411, a2, MPFR_RNDN);
        mpfr_mul(r22412, r22411, r22411, MPFR_RNDN);
        mpfr_mul(r22413, r22410, r22412, MPFR_RNDN);
        mpfr_add(r22414, r22409, r22413, MPFR_RNDN);
        return mpfr_get_d(r22414, MPFR_RNDN);
}

static mpfr_t r22415, r22416, r22417, r22418, r22419, r22420, r22421, r22422, r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22415);
        mpfr_init(r22416);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init_set_str(r22420, "2", 10, MPFR_RNDN);
        mpfr_init(r22421);
        mpfr_init(r22422);
        mpfr_init(r22423);
        mpfr_init(r22424);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init(r22430);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22415, th, MPFR_RNDN);
        mpfr_cos(r22416, r22415, MPFR_RNDN);
        mpfr_set_d(r22417, a1, MPFR_RNDN);
        mpfr_mul(r22418, r22417, r22417, MPFR_RNDN);
        mpfr_mul(r22419, r22416, r22418, MPFR_RNDN);
        ;
        mpfr_sqrt(r22421, r22420, MPFR_RNDN);
        mpfr_cbrt(r22422, r22421, MPFR_RNDN);
        mpfr_mul(r22423, r22422, r22422, MPFR_RNDN);
        mpfr_div(r22424, r22419, r22423, MPFR_RNDN);
        mpfr_div(r22425, r22424, r22422, MPFR_RNDN);
        mpfr_div(r22426, r22416, r22421, MPFR_RNDN);
        mpfr_set_d(r22427, a2, MPFR_RNDN);
        mpfr_mul(r22428, r22427, r22427, MPFR_RNDN);
        mpfr_mul(r22429, r22426, r22428, MPFR_RNDN);
        mpfr_add(r22430, r22425, r22429, MPFR_RNDN);
        return mpfr_get_d(r22430, MPFR_RNDN);
}

