#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 r23243 = th;
        float r23244 = cos(r23243);
        float r23245 = 2;
        float r23246 = sqrt(r23245);
        float r23247 = r23244 / r23246;
        float r23248 = a1;
        float r23249 = r23248 * r23248;
        float r23250 = r23247 * r23249;
        float r23251 = a2;
        float r23252 = r23251 * r23251;
        float r23253 = r23247 * r23252;
        float r23254 = r23250 + r23253;
        return r23254;
}

double f_id(double a1, double a2, double th) {
        double r23255 = th;
        double r23256 = cos(r23255);
        double r23257 = 2;
        double r23258 = sqrt(r23257);
        double r23259 = r23256 / r23258;
        double r23260 = a1;
        double r23261 = r23260 * r23260;
        double r23262 = r23259 * r23261;
        double r23263 = a2;
        double r23264 = r23263 * r23263;
        double r23265 = r23259 * r23264;
        double r23266 = r23262 + r23265;
        return r23266;
}


double f_of(float a1, float a2, float th) {
        float r23267 = th;
        float r23268 = cos(r23267);
        float r23269 = 2;
        float r23270 = sqrt(r23269);
        float r23271 = r23268 / r23270;
        float r23272 = a1;
        float r23273 = r23271 * r23272;
        float r23274 = r23273 * r23272;
        float r23275 = a2;
        float r23276 = r23275 * r23275;
        float r23277 = r23271 * r23276;
        float r23278 = r23274 + r23277;
        return r23278;
}

double f_od(double a1, double a2, double th) {
        double r23279 = th;
        double r23280 = cos(r23279);
        double r23281 = 2;
        double r23282 = sqrt(r23281);
        double r23283 = r23280 / r23282;
        double r23284 = a1;
        double r23285 = r23283 * r23284;
        double r23286 = r23285 * r23284;
        double r23287 = a2;
        double r23288 = r23287 * r23287;
        double r23289 = r23283 * r23288;
        double r23290 = r23286 + r23289;
        return r23290;
}

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 r23291, r23292, r23293, r23294, r23295, r23296, r23297, r23298, r23299, r23300, r23301, r23302;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23291);
        mpfr_init(r23292);
        mpfr_init_set_str(r23293, "2", 10, MPFR_RNDN);
        mpfr_init(r23294);
        mpfr_init(r23295);
        mpfr_init(r23296);
        mpfr_init(r23297);
        mpfr_init(r23298);
        mpfr_init(r23299);
        mpfr_init(r23300);
        mpfr_init(r23301);
        mpfr_init(r23302);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23291, th, MPFR_RNDN);
        mpfr_cos(r23292, r23291, MPFR_RNDN);
        ;
        mpfr_sqrt(r23294, r23293, MPFR_RNDN);
        mpfr_div(r23295, r23292, r23294, MPFR_RNDN);
        mpfr_set_d(r23296, a1, MPFR_RNDN);
        mpfr_mul(r23297, r23296, r23296, MPFR_RNDN);
        mpfr_mul(r23298, r23295, r23297, MPFR_RNDN);
        mpfr_set_d(r23299, a2, MPFR_RNDN);
        mpfr_mul(r23300, r23299, r23299, MPFR_RNDN);
        mpfr_mul(r23301, r23295, r23300, MPFR_RNDN);
        mpfr_add(r23302, r23298, r23301, MPFR_RNDN);
        return mpfr_get_d(r23302, MPFR_RNDN);
}

static mpfr_t r23303, r23304, r23305, r23306, r23307, r23308, r23309, r23310, r23311, r23312, r23313, r23314;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23303);
        mpfr_init(r23304);
        mpfr_init_set_str(r23305, "2", 10, MPFR_RNDN);
        mpfr_init(r23306);
        mpfr_init(r23307);
        mpfr_init(r23308);
        mpfr_init(r23309);
        mpfr_init(r23310);
        mpfr_init(r23311);
        mpfr_init(r23312);
        mpfr_init(r23313);
        mpfr_init(r23314);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23303, th, MPFR_RNDN);
        mpfr_cos(r23304, r23303, MPFR_RNDN);
        ;
        mpfr_sqrt(r23306, r23305, MPFR_RNDN);
        mpfr_div(r23307, r23304, r23306, MPFR_RNDN);
        mpfr_set_d(r23308, a1, MPFR_RNDN);
        mpfr_mul(r23309, r23307, r23308, MPFR_RNDN);
        mpfr_mul(r23310, r23309, r23308, MPFR_RNDN);
        mpfr_set_d(r23311, a2, MPFR_RNDN);
        mpfr_mul(r23312, r23311, r23311, MPFR_RNDN);
        mpfr_mul(r23313, r23307, r23312, MPFR_RNDN);
        mpfr_add(r23314, r23310, r23313, MPFR_RNDN);
        return mpfr_get_d(r23314, MPFR_RNDN);
}

static mpfr_t r23315, r23316, r23317, r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325, r23326;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23315);
        mpfr_init(r23316);
        mpfr_init_set_str(r23317, "2", 10, MPFR_RNDN);
        mpfr_init(r23318);
        mpfr_init(r23319);
        mpfr_init(r23320);
        mpfr_init(r23321);
        mpfr_init(r23322);
        mpfr_init(r23323);
        mpfr_init(r23324);
        mpfr_init(r23325);
        mpfr_init(r23326);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23315, th, MPFR_RNDN);
        mpfr_cos(r23316, r23315, MPFR_RNDN);
        ;
        mpfr_sqrt(r23318, r23317, MPFR_RNDN);
        mpfr_div(r23319, r23316, r23318, MPFR_RNDN);
        mpfr_set_d(r23320, a1, MPFR_RNDN);
        mpfr_mul(r23321, r23319, r23320, MPFR_RNDN);
        mpfr_mul(r23322, r23321, r23320, MPFR_RNDN);
        mpfr_set_d(r23323, a2, MPFR_RNDN);
        mpfr_mul(r23324, r23323, r23323, MPFR_RNDN);
        mpfr_mul(r23325, r23319, r23324, MPFR_RNDN);
        mpfr_add(r23326, r23322, r23325, MPFR_RNDN);
        return mpfr_get_d(r23326, MPFR_RNDN);
}