#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 r23251 = th;
        float r23252 = cos(r23251);
        float r23253 = 2;
        float r23254 = sqrt(r23253);
        float r23255 = r23252 / r23254;
        float r23256 = a1;
        float r23257 = r23256 * r23256;
        float r23258 = r23255 * r23257;
        float r23259 = a2;
        float r23260 = r23259 * r23259;
        float r23261 = r23255 * r23260;
        float r23262 = r23258 + r23261;
        return r23262;
}

double f_id(double a1, double a2, double th) {
        double r23263 = th;
        double r23264 = cos(r23263);
        double r23265 = 2;
        double r23266 = sqrt(r23265);
        double r23267 = r23264 / r23266;
        double r23268 = a1;
        double r23269 = r23268 * r23268;
        double r23270 = r23267 * r23269;
        double r23271 = a2;
        double r23272 = r23271 * r23271;
        double r23273 = r23267 * r23272;
        double r23274 = r23270 + r23273;
        return r23274;
}


double f_of(float a1, float a2, float th) {
        float r23275 = th;
        float r23276 = cos(r23275);
        float r23277 = 2;
        float r23278 = sqrt(r23277);
        float r23279 = r23276 / r23278;
        float r23280 = a1;
        float r23281 = r23280 * r23280;
        float r23282 = r23279 * r23281;
        float r23283 = a2;
        float r23284 = r23283 * r23283;
        float r23285 = r23284 / r23278;
        float r23286 = r23276 * r23285;
        float r23287 = r23282 + r23286;
        return r23287;
}

double f_od(double a1, double a2, double th) {
        double r23288 = th;
        double r23289 = cos(r23288);
        double r23290 = 2;
        double r23291 = sqrt(r23290);
        double r23292 = r23289 / r23291;
        double r23293 = a1;
        double r23294 = r23293 * r23293;
        double r23295 = r23292 * r23294;
        double r23296 = a2;
        double r23297 = r23296 * r23296;
        double r23298 = r23297 / r23291;
        double r23299 = r23289 * r23298;
        double r23300 = r23295 + r23299;
        return r23300;
}

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 r23301, r23302, r23303, r23304, r23305, r23306, r23307, r23308, r23309, r23310, r23311, r23312;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23301);
        mpfr_init(r23302);
        mpfr_init_set_str(r23303, "2", 10, MPFR_RNDN);
        mpfr_init(r23304);
        mpfr_init(r23305);
        mpfr_init(r23306);
        mpfr_init(r23307);
        mpfr_init(r23308);
        mpfr_init(r23309);
        mpfr_init(r23310);
        mpfr_init(r23311);
        mpfr_init(r23312);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23301, th, MPFR_RNDN);
        mpfr_cos(r23302, r23301, MPFR_RNDN);
        ;
        mpfr_sqrt(r23304, r23303, MPFR_RNDN);
        mpfr_div(r23305, r23302, r23304, MPFR_RNDN);
        mpfr_set_d(r23306, a1, MPFR_RNDN);
        mpfr_mul(r23307, r23306, r23306, MPFR_RNDN);
        mpfr_mul(r23308, r23305, r23307, MPFR_RNDN);
        mpfr_set_d(r23309, a2, MPFR_RNDN);
        mpfr_mul(r23310, r23309, r23309, MPFR_RNDN);
        mpfr_mul(r23311, r23305, r23310, MPFR_RNDN);
        mpfr_add(r23312, r23308, r23311, MPFR_RNDN);
        return mpfr_get_d(r23312, MPFR_RNDN);
}

static mpfr_t r23313, r23314, r23315, r23316, r23317, r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23313);
        mpfr_init(r23314);
        mpfr_init_set_str(r23315, "2", 10, MPFR_RNDN);
        mpfr_init(r23316);
        mpfr_init(r23317);
        mpfr_init(r23318);
        mpfr_init(r23319);
        mpfr_init(r23320);
        mpfr_init(r23321);
        mpfr_init(r23322);
        mpfr_init(r23323);
        mpfr_init(r23324);
        mpfr_init(r23325);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23313, th, MPFR_RNDN);
        mpfr_cos(r23314, r23313, MPFR_RNDN);
        ;
        mpfr_sqrt(r23316, r23315, MPFR_RNDN);
        mpfr_div(r23317, r23314, r23316, MPFR_RNDN);
        mpfr_set_d(r23318, a1, MPFR_RNDN);
        mpfr_mul(r23319, r23318, r23318, MPFR_RNDN);
        mpfr_mul(r23320, r23317, r23319, MPFR_RNDN);
        mpfr_set_d(r23321, a2, MPFR_RNDN);
        mpfr_mul(r23322, r23321, r23321, MPFR_RNDN);
        mpfr_div(r23323, r23322, r23316, MPFR_RNDN);
        mpfr_mul(r23324, r23314, r23323, MPFR_RNDN);
        mpfr_add(r23325, r23320, r23324, MPFR_RNDN);
        return mpfr_get_d(r23325, MPFR_RNDN);
}

static mpfr_t r23326, r23327, r23328, r23329, r23330, r23331, r23332, r23333, r23334, r23335, r23336, r23337, r23338;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23326);
        mpfr_init(r23327);
        mpfr_init_set_str(r23328, "2", 10, MPFR_RNDN);
        mpfr_init(r23329);
        mpfr_init(r23330);
        mpfr_init(r23331);
        mpfr_init(r23332);
        mpfr_init(r23333);
        mpfr_init(r23334);
        mpfr_init(r23335);
        mpfr_init(r23336);
        mpfr_init(r23337);
        mpfr_init(r23338);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23326, th, MPFR_RNDN);
        mpfr_cos(r23327, r23326, MPFR_RNDN);
        ;
        mpfr_sqrt(r23329, r23328, MPFR_RNDN);
        mpfr_div(r23330, r23327, r23329, MPFR_RNDN);
        mpfr_set_d(r23331, a1, MPFR_RNDN);
        mpfr_mul(r23332, r23331, r23331, MPFR_RNDN);
        mpfr_mul(r23333, r23330, r23332, MPFR_RNDN);
        mpfr_set_d(r23334, a2, MPFR_RNDN);
        mpfr_mul(r23335, r23334, r23334, MPFR_RNDN);
        mpfr_div(r23336, r23335, r23329, MPFR_RNDN);
        mpfr_mul(r23337, r23327, r23336, MPFR_RNDN);
        mpfr_add(r23338, r23333, r23337, MPFR_RNDN);
        return mpfr_get_d(r23338, MPFR_RNDN);
}