#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 r22356 = th;
        float r22357 = cos(r22356);
        float r22358 = 2;
        float r22359 = sqrt(r22358);
        float r22360 = r22357 / r22359;
        float r22361 = a1;
        float r22362 = r22361 * r22361;
        float r22363 = r22360 * r22362;
        float r22364 = a2;
        float r22365 = r22364 * r22364;
        float r22366 = r22360 * r22365;
        float r22367 = r22363 + r22366;
        return r22367;
}

double f_id(double a1, double a2, double th) {
        double r22368 = th;
        double r22369 = cos(r22368);
        double r22370 = 2;
        double r22371 = sqrt(r22370);
        double r22372 = r22369 / r22371;
        double r22373 = a1;
        double r22374 = r22373 * r22373;
        double r22375 = r22372 * r22374;
        double r22376 = a2;
        double r22377 = r22376 * r22376;
        double r22378 = r22372 * r22377;
        double r22379 = r22375 + r22378;
        return r22379;
}


double f_of(float a1, float a2, float th) {
        float r22380 = th;
        float r22381 = cos(r22380);
        float r22382 = a1;
        float r22383 = a2;
        float r22384 = r22383 * r22383;
        float r22385 = fma(r22382, r22382, r22384);
        float r22386 = 2;
        float r22387 = sqrt(r22386);
        float r22388 = r22385 / r22387;
        float r22389 = r22381 * r22388;
        return r22389;
}

double f_od(double a1, double a2, double th) {
        double r22390 = th;
        double r22391 = cos(r22390);
        double r22392 = a1;
        double r22393 = a2;
        double r22394 = r22393 * r22393;
        double r22395 = fma(r22392, r22392, r22394);
        double r22396 = 2;
        double r22397 = sqrt(r22396);
        double r22398 = r22395 / r22397;
        double r22399 = r22391 * r22398;
        return r22399;
}

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 r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411;

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

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

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

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

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

static mpfr_t r22422, r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430, r22431;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22422);
        mpfr_init(r22423);
        mpfr_init(r22424);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init_set_str(r22428, "2", 10, MPFR_RNDN);
        mpfr_init(r22429);
        mpfr_init(r22430);
        mpfr_init(r22431);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22422, th, MPFR_RNDN);
        mpfr_cos(r22423, r22422, MPFR_RNDN);
        mpfr_set_d(r22424, a1, MPFR_RNDN);
        mpfr_set_d(r22425, a2, MPFR_RNDN);
        mpfr_mul(r22426, r22425, r22425, MPFR_RNDN);
        mpfr_fma(r22427, r22424, r22424, r22426, MPFR_RNDN);
        ;
        mpfr_sqrt(r22429, r22428, MPFR_RNDN);
        mpfr_div(r22430, r22427, r22429, MPFR_RNDN);
        mpfr_mul(r22431, r22423, r22430, MPFR_RNDN);
        return mpfr_get_d(r22431, MPFR_RNDN);
}