#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 r23182 = th;
        float r23183 = cos(r23182);
        float r23184 = 2;
        float r23185 = sqrt(r23184);
        float r23186 = r23183 / r23185;
        float r23187 = a1;
        float r23188 = r23187 * r23187;
        float r23189 = r23186 * r23188;
        float r23190 = a2;
        float r23191 = r23190 * r23190;
        float r23192 = r23186 * r23191;
        float r23193 = r23189 + r23192;
        return r23193;
}

double f_id(double a1, double a2, double th) {
        double r23194 = th;
        double r23195 = cos(r23194);
        double r23196 = 2;
        double r23197 = sqrt(r23196);
        double r23198 = r23195 / r23197;
        double r23199 = a1;
        double r23200 = r23199 * r23199;
        double r23201 = r23198 * r23200;
        double r23202 = a2;
        double r23203 = r23202 * r23202;
        double r23204 = r23198 * r23203;
        double r23205 = r23201 + r23204;
        return r23205;
}


double f_of(float a1, float a2, float th) {
        float r23206 = th;
        float r23207 = cos(r23206);
        float r23208 = a1;
        float r23209 = r23208 * r23208;
        float r23210 = a2;
        float r23211 = r23210 * r23210;
        float r23212 = r23209 + r23211;
        float r23213 = 2;
        float r23214 = sqrt(r23213);
        float r23215 = r23212 / r23214;
        float r23216 = r23207 * r23215;
        return r23216;
}

double f_od(double a1, double a2, double th) {
        double r23217 = th;
        double r23218 = cos(r23217);
        double r23219 = a1;
        double r23220 = r23219 * r23219;
        double r23221 = a2;
        double r23222 = r23221 * r23221;
        double r23223 = r23220 + r23222;
        double r23224 = 2;
        double r23225 = sqrt(r23224);
        double r23226 = r23223 / r23225;
        double r23227 = r23218 * r23226;
        return r23227;
}

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 r23228, r23229, r23230, r23231, r23232, r23233, r23234, r23235, r23236, r23237, r23238, r23239;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23228);
        mpfr_init(r23229);
        mpfr_init_set_str(r23230, "2", 10, MPFR_RNDN);
        mpfr_init(r23231);
        mpfr_init(r23232);
        mpfr_init(r23233);
        mpfr_init(r23234);
        mpfr_init(r23235);
        mpfr_init(r23236);
        mpfr_init(r23237);
        mpfr_init(r23238);
        mpfr_init(r23239);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23228, th, MPFR_RNDN);
        mpfr_cos(r23229, r23228, MPFR_RNDN);
        ;
        mpfr_sqrt(r23231, r23230, MPFR_RNDN);
        mpfr_div(r23232, r23229, r23231, MPFR_RNDN);
        mpfr_set_d(r23233, a1, MPFR_RNDN);
        mpfr_mul(r23234, r23233, r23233, MPFR_RNDN);
        mpfr_mul(r23235, r23232, r23234, MPFR_RNDN);
        mpfr_set_d(r23236, a2, MPFR_RNDN);
        mpfr_mul(r23237, r23236, r23236, MPFR_RNDN);
        mpfr_mul(r23238, r23232, r23237, MPFR_RNDN);
        mpfr_add(r23239, r23235, r23238, MPFR_RNDN);
        return mpfr_get_d(r23239, MPFR_RNDN);
}

static mpfr_t r23240, r23241, r23242, r23243, r23244, r23245, r23246, r23247, r23248, r23249, r23250;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23240);
        mpfr_init(r23241);
        mpfr_init(r23242);
        mpfr_init(r23243);
        mpfr_init(r23244);
        mpfr_init(r23245);
        mpfr_init(r23246);
        mpfr_init_set_str(r23247, "2", 10, MPFR_RNDN);
        mpfr_init(r23248);
        mpfr_init(r23249);
        mpfr_init(r23250);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23240, th, MPFR_RNDN);
        mpfr_cos(r23241, r23240, MPFR_RNDN);
        mpfr_set_d(r23242, a1, MPFR_RNDN);
        mpfr_mul(r23243, r23242, r23242, MPFR_RNDN);
        mpfr_set_d(r23244, a2, MPFR_RNDN);
        mpfr_mul(r23245, r23244, r23244, MPFR_RNDN);
        mpfr_add(r23246, r23243, r23245, MPFR_RNDN);
        ;
        mpfr_sqrt(r23248, r23247, MPFR_RNDN);
        mpfr_div(r23249, r23246, r23248, MPFR_RNDN);
        mpfr_mul(r23250, r23241, r23249, MPFR_RNDN);
        return mpfr_get_d(r23250, MPFR_RNDN);
}

static mpfr_t r23251, r23252, r23253, r23254, r23255, r23256, r23257, r23258, r23259, r23260, r23261;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23251);
        mpfr_init(r23252);
        mpfr_init(r23253);
        mpfr_init(r23254);
        mpfr_init(r23255);
        mpfr_init(r23256);
        mpfr_init(r23257);
        mpfr_init_set_str(r23258, "2", 10, MPFR_RNDN);
        mpfr_init(r23259);
        mpfr_init(r23260);
        mpfr_init(r23261);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23251, th, MPFR_RNDN);
        mpfr_cos(r23252, r23251, MPFR_RNDN);
        mpfr_set_d(r23253, a1, MPFR_RNDN);
        mpfr_mul(r23254, r23253, r23253, MPFR_RNDN);
        mpfr_set_d(r23255, a2, MPFR_RNDN);
        mpfr_mul(r23256, r23255, r23255, MPFR_RNDN);
        mpfr_add(r23257, r23254, r23256, MPFR_RNDN);
        ;
        mpfr_sqrt(r23259, r23258, MPFR_RNDN);
        mpfr_div(r23260, r23257, r23259, MPFR_RNDN);
        mpfr_mul(r23261, r23252, r23260, MPFR_RNDN);
        return mpfr_get_d(r23261, MPFR_RNDN);
}