#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Bouland and Aaronson, Equation (25)";

double f_if(float a, float b) {
        float r17028 = a;
        float r17029 = r17028 * r17028;
        float r17030 = b;
        float r17031 = r17030 * r17030;
        float r17032 = r17029 + r17031;
        float r17033 = r17032 * r17032;
        float r17034 = 4.0f;
        float r17035 = 1.0f;
        float r17036 = r17035 + r17028;
        float r17037 = r17029 * r17036;
        float r17038 = 3.0f;
        float r17039 = r17038 * r17028;
        float r17040 = r17035 - r17039;
        float r17041 = r17031 * r17040;
        float r17042 = r17037 + r17041;
        float r17043 = r17034 * r17042;
        float r17044 = r17033 + r17043;
        float r17045 = r17044 - r17035;
        return r17045;
}

double f_id(double a, double b) {
        double r17046 = a;
        double r17047 = r17046 * r17046;
        double r17048 = b;
        double r17049 = r17048 * r17048;
        double r17050 = r17047 + r17049;
        double r17051 = r17050 * r17050;
        double r17052 = 4.0;
        double r17053 = 1.0;
        double r17054 = r17053 + r17046;
        double r17055 = r17047 * r17054;
        double r17056 = 3.0;
        double r17057 = r17056 * r17046;
        double r17058 = r17053 - r17057;
        double r17059 = r17049 * r17058;
        double r17060 = r17055 + r17059;
        double r17061 = r17052 * r17060;
        double r17062 = r17051 + r17061;
        double r17063 = r17062 - r17053;
        return r17063;
}


double f_of(float a, float b) {
        float r17064 = a;
        float r17065 = r17064 * r17064;
        float r17066 = b;
        float r17067 = r17066 * r17066;
        float r17068 = r17065 + r17067;
        float r17069 = sqrt(r17068);
        float r17070 = r17069 * r17069;
        float r17071 = r17070 * r17070;
        float r17072 = 4.0f;
        float r17073 = 1.0f;
        float r17074 = r17073 + r17064;
        float r17075 = r17065 * r17074;
        float r17076 = 3.0f;
        float r17077 = r17076 * r17064;
        float r17078 = r17073 - r17077;
        float r17079 = r17067 * r17078;
        float r17080 = r17075 + r17079;
        float r17081 = r17072 * r17080;
        float r17082 = r17071 + r17081;
        float r17083 = r17082 - r17073;
        return r17083;
}

double f_od(double a, double b) {
        double r17084 = a;
        double r17085 = r17084 * r17084;
        double r17086 = b;
        double r17087 = r17086 * r17086;
        double r17088 = r17085 + r17087;
        double r17089 = sqrt(r17088);
        double r17090 = r17089 * r17089;
        double r17091 = r17090 * r17090;
        double r17092 = 4.0;
        double r17093 = 1.0;
        double r17094 = r17093 + r17084;
        double r17095 = r17085 * r17094;
        double r17096 = 3.0;
        double r17097 = r17096 * r17084;
        double r17098 = r17093 - r17097;
        double r17099 = r17087 * r17098;
        double r17100 = r17095 + r17099;
        double r17101 = r17092 * r17100;
        double r17102 = r17091 + r17101;
        double r17103 = r17102 - r17093;
        return r17103;
}

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 r17104, r17105, r17106, r17107, r17108, r17109, r17110, r17111, r17112, r17113, r17114, r17115, r17116, r17117, r17118, r17119, r17120, r17121;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r17104);
        mpfr_init(r17105);
        mpfr_init(r17106);
        mpfr_init(r17107);
        mpfr_init(r17108);
        mpfr_init(r17109);
        mpfr_init_set_str(r17110, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r17111, "1", 10, MPFR_RNDN);
        mpfr_init(r17112);
        mpfr_init(r17113);
        mpfr_init_set_str(r17114, "3", 10, MPFR_RNDN);
        mpfr_init(r17115);
        mpfr_init(r17116);
        mpfr_init(r17117);
        mpfr_init(r17118);
        mpfr_init(r17119);
        mpfr_init(r17120);
        mpfr_init(r17121);
}

double f_im(double a, double b) {
        mpfr_set_d(r17104, a, MPFR_RNDN);
        mpfr_sqr(r17105, r17104, MPFR_RNDN);
        mpfr_set_d(r17106, b, MPFR_RNDN);
        mpfr_sqr(r17107, r17106, MPFR_RNDN);
        mpfr_add(r17108, r17105, r17107, MPFR_RNDN);
        mpfr_sqr(r17109, r17108, MPFR_RNDN);
        ;
        ;
        mpfr_add(r17112, r17111, r17104, MPFR_RNDN);
        mpfr_mul(r17113, r17105, r17112, MPFR_RNDN);
        ;
        mpfr_mul(r17115, r17114, r17104, MPFR_RNDN);
        mpfr_sub(r17116, r17111, r17115, MPFR_RNDN);
        mpfr_mul(r17117, r17107, r17116, MPFR_RNDN);
        mpfr_add(r17118, r17113, r17117, MPFR_RNDN);
        mpfr_mul(r17119, r17110, r17118, MPFR_RNDN);
        mpfr_add(r17120, r17109, r17119, MPFR_RNDN);
        mpfr_sub(r17121, r17120, r17111, MPFR_RNDN);
        return mpfr_get_d(r17121, MPFR_RNDN);
}

static mpfr_t r17122, r17123, r17124, r17125, r17126, r17127, r17128, r17129, r17130, r17131, r17132, r17133, r17134, r17135, r17136, r17137, r17138, r17139, r17140, r17141;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17122);
        mpfr_init(r17123);
        mpfr_init(r17124);
        mpfr_init(r17125);
        mpfr_init(r17126);
        mpfr_init(r17127);
        mpfr_init(r17128);
        mpfr_init(r17129);
        mpfr_init_set_str(r17130, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r17131, "1", 10, MPFR_RNDN);
        mpfr_init(r17132);
        mpfr_init(r17133);
        mpfr_init_set_str(r17134, "3", 10, MPFR_RNDN);
        mpfr_init(r17135);
        mpfr_init(r17136);
        mpfr_init(r17137);
        mpfr_init(r17138);
        mpfr_init(r17139);
        mpfr_init(r17140);
        mpfr_init(r17141);
}

double f_fm(double a, double b) {
        mpfr_set_d(r17122, a, MPFR_RNDN);
        mpfr_sqr(r17123, r17122, MPFR_RNDN);
        mpfr_set_d(r17124, b, MPFR_RNDN);
        mpfr_sqr(r17125, r17124, MPFR_RNDN);
        mpfr_add(r17126, r17123, r17125, MPFR_RNDN);
        mpfr_sqrt(r17127, r17126, MPFR_RNDN);
        mpfr_mul(r17128, r17127, r17127, MPFR_RNDN);
        mpfr_sqr(r17129, r17128, MPFR_RNDN);
        ;
        ;
        mpfr_add(r17132, r17131, r17122, MPFR_RNDN);
        mpfr_mul(r17133, r17123, r17132, MPFR_RNDN);
        ;
        mpfr_mul(r17135, r17134, r17122, MPFR_RNDN);
        mpfr_sub(r17136, r17131, r17135, MPFR_RNDN);
        mpfr_mul(r17137, r17125, r17136, MPFR_RNDN);
        mpfr_add(r17138, r17133, r17137, MPFR_RNDN);
        mpfr_mul(r17139, r17130, r17138, MPFR_RNDN);
        mpfr_add(r17140, r17129, r17139, MPFR_RNDN);
        mpfr_sub(r17141, r17140, r17131, MPFR_RNDN);
        return mpfr_get_d(r17141, MPFR_RNDN);
}

static mpfr_t r17142, r17143, r17144, r17145, r17146, r17147, r17148, r17149, r17150, r17151, r17152, r17153, r17154, r17155, r17156, r17157, r17158, r17159, r17160, r17161;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17142);
        mpfr_init(r17143);
        mpfr_init(r17144);
        mpfr_init(r17145);
        mpfr_init(r17146);
        mpfr_init(r17147);
        mpfr_init(r17148);
        mpfr_init(r17149);
        mpfr_init_set_str(r17150, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r17151, "1", 10, MPFR_RNDN);
        mpfr_init(r17152);
        mpfr_init(r17153);
        mpfr_init_set_str(r17154, "3", 10, MPFR_RNDN);
        mpfr_init(r17155);
        mpfr_init(r17156);
        mpfr_init(r17157);
        mpfr_init(r17158);
        mpfr_init(r17159);
        mpfr_init(r17160);
        mpfr_init(r17161);
}

double f_dm(double a, double b) {
        mpfr_set_d(r17142, a, MPFR_RNDN);
        mpfr_sqr(r17143, r17142, MPFR_RNDN);
        mpfr_set_d(r17144, b, MPFR_RNDN);
        mpfr_sqr(r17145, r17144, MPFR_RNDN);
        mpfr_add(r17146, r17143, r17145, MPFR_RNDN);
        mpfr_sqrt(r17147, r17146, MPFR_RNDN);
        mpfr_mul(r17148, r17147, r17147, MPFR_RNDN);
        mpfr_sqr(r17149, r17148, MPFR_RNDN);
        ;
        ;
        mpfr_add(r17152, r17151, r17142, MPFR_RNDN);
        mpfr_mul(r17153, r17143, r17152, MPFR_RNDN);
        ;
        mpfr_mul(r17155, r17154, r17142, MPFR_RNDN);
        mpfr_sub(r17156, r17151, r17155, MPFR_RNDN);
        mpfr_mul(r17157, r17145, r17156, MPFR_RNDN);
        mpfr_add(r17158, r17153, r17157, MPFR_RNDN);
        mpfr_mul(r17159, r17150, r17158, MPFR_RNDN);
        mpfr_add(r17160, r17149, r17159, MPFR_RNDN);
        mpfr_sub(r17161, r17160, r17151, MPFR_RNDN);
        return mpfr_get_d(r17161, MPFR_RNDN);
}