#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 r17060 = a;
        float r17061 = r17060 * r17060;
        float r17062 = b;
        float r17063 = r17062 * r17062;
        float r17064 = r17061 + r17063;
        float r17065 = r17064 * r17064;
        float r17066 = 4.0f;
        float r17067 = 1.0f;
        float r17068 = r17067 + r17060;
        float r17069 = r17061 * r17068;
        float r17070 = 3.0f;
        float r17071 = r17070 * r17060;
        float r17072 = r17067 - r17071;
        float r17073 = r17063 * r17072;
        float r17074 = r17069 + r17073;
        float r17075 = r17066 * r17074;
        float r17076 = r17065 + r17075;
        float r17077 = r17076 - r17067;
        return r17077;
}

double f_id(double a, double b) {
        double r17078 = a;
        double r17079 = r17078 * r17078;
        double r17080 = b;
        double r17081 = r17080 * r17080;
        double r17082 = r17079 + r17081;
        double r17083 = r17082 * r17082;
        double r17084 = 4.0;
        double r17085 = 1.0;
        double r17086 = r17085 + r17078;
        double r17087 = r17079 * r17086;
        double r17088 = 3.0;
        double r17089 = r17088 * r17078;
        double r17090 = r17085 - r17089;
        double r17091 = r17081 * r17090;
        double r17092 = r17087 + r17091;
        double r17093 = r17084 * r17092;
        double r17094 = r17083 + r17093;
        double r17095 = r17094 - r17085;
        return r17095;
}


double f_of(float a, float b) {
        float r17096 = a;
        float r17097 = r17096 * r17096;
        float r17098 = b;
        float r17099 = r17098 * r17098;
        float r17100 = r17097 + r17099;
        float r17101 = sqrt(r17100);
        float r17102 = r17101 * r17101;
        float r17103 = r17102 * r17102;
        float r17104 = 4.0f;
        float r17105 = 1.0f;
        float r17106 = r17105 + r17096;
        float r17107 = r17097 * r17106;
        float r17108 = 3.0f;
        float r17109 = r17108 * r17096;
        float r17110 = r17105 - r17109;
        float r17111 = r17099 * r17110;
        float r17112 = r17107 + r17111;
        float r17113 = r17104 * r17112;
        float r17114 = r17103 + r17113;
        float r17115 = r17114 - r17105;
        return r17115;
}

double f_od(double a, double b) {
        double r17116 = a;
        double r17117 = r17116 * r17116;
        double r17118 = b;
        double r17119 = r17118 * r17118;
        double r17120 = r17117 + r17119;
        double r17121 = sqrt(r17120);
        double r17122 = r17121 * r17121;
        double r17123 = r17122 * r17122;
        double r17124 = 4.0;
        double r17125 = 1.0;
        double r17126 = r17125 + r17116;
        double r17127 = r17117 * r17126;
        double r17128 = 3.0;
        double r17129 = r17128 * r17116;
        double r17130 = r17125 - r17129;
        double r17131 = r17119 * r17130;
        double r17132 = r17127 + r17131;
        double r17133 = r17124 * r17132;
        double r17134 = r17123 + r17133;
        double r17135 = r17134 - r17125;
        return r17135;
}

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 r17136, r17137, r17138, r17139, r17140, r17141, r17142, r17143, r17144, r17145, r17146, r17147, r17148, r17149, r17150, r17151, r17152, r17153;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r17136);
        mpfr_init(r17137);
        mpfr_init(r17138);
        mpfr_init(r17139);
        mpfr_init(r17140);
        mpfr_init(r17141);
        mpfr_init_set_str(r17142, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r17143, "1", 10, MPFR_RNDN);
        mpfr_init(r17144);
        mpfr_init(r17145);
        mpfr_init_set_str(r17146, "3", 10, MPFR_RNDN);
        mpfr_init(r17147);
        mpfr_init(r17148);
        mpfr_init(r17149);
        mpfr_init(r17150);
        mpfr_init(r17151);
        mpfr_init(r17152);
        mpfr_init(r17153);
}

double f_im(double a, double b) {
        mpfr_set_d(r17136, a, MPFR_RNDN);
        mpfr_sqr(r17137, r17136, MPFR_RNDN);
        mpfr_set_d(r17138, b, MPFR_RNDN);
        mpfr_sqr(r17139, r17138, MPFR_RNDN);
        mpfr_add(r17140, r17137, r17139, MPFR_RNDN);
        mpfr_sqr(r17141, r17140, MPFR_RNDN);
        ;
        ;
        mpfr_add(r17144, r17143, r17136, MPFR_RNDN);
        mpfr_mul(r17145, r17137, r17144, MPFR_RNDN);
        ;
        mpfr_mul(r17147, r17146, r17136, MPFR_RNDN);
        mpfr_sub(r17148, r17143, r17147, MPFR_RNDN);
        mpfr_mul(r17149, r17139, r17148, MPFR_RNDN);
        mpfr_add(r17150, r17145, r17149, MPFR_RNDN);
        mpfr_mul(r17151, r17142, r17150, MPFR_RNDN);
        mpfr_add(r17152, r17141, r17151, MPFR_RNDN);
        mpfr_sub(r17153, r17152, r17143, MPFR_RNDN);
        return mpfr_get_d(r17153, MPFR_RNDN);
}

static mpfr_t r17154, r17155, r17156, r17157, r17158, r17159, r17160, r17161, r17162, r17163, r17164, r17165, r17166, r17167, r17168, r17169, r17170, r17171, r17172, r17173;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17154);
        mpfr_init(r17155);
        mpfr_init(r17156);
        mpfr_init(r17157);
        mpfr_init(r17158);
        mpfr_init(r17159);
        mpfr_init(r17160);
        mpfr_init(r17161);
        mpfr_init_set_str(r17162, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r17163, "1", 10, MPFR_RNDN);
        mpfr_init(r17164);
        mpfr_init(r17165);
        mpfr_init_set_str(r17166, "3", 10, MPFR_RNDN);
        mpfr_init(r17167);
        mpfr_init(r17168);
        mpfr_init(r17169);
        mpfr_init(r17170);
        mpfr_init(r17171);
        mpfr_init(r17172);
        mpfr_init(r17173);
}

double f_fm(double a, double b) {
        mpfr_set_d(r17154, a, MPFR_RNDN);
        mpfr_sqr(r17155, r17154, MPFR_RNDN);
        mpfr_set_d(r17156, b, MPFR_RNDN);
        mpfr_sqr(r17157, r17156, MPFR_RNDN);
        mpfr_add(r17158, r17155, r17157, MPFR_RNDN);
        mpfr_sqrt(r17159, r17158, MPFR_RNDN);
        mpfr_mul(r17160, r17159, r17159, MPFR_RNDN);
        mpfr_sqr(r17161, r17160, MPFR_RNDN);
        ;
        ;
        mpfr_add(r17164, r17163, r17154, MPFR_RNDN);
        mpfr_mul(r17165, r17155, r17164, MPFR_RNDN);
        ;
        mpfr_mul(r17167, r17166, r17154, MPFR_RNDN);
        mpfr_sub(r17168, r17163, r17167, MPFR_RNDN);
        mpfr_mul(r17169, r17157, r17168, MPFR_RNDN);
        mpfr_add(r17170, r17165, r17169, MPFR_RNDN);
        mpfr_mul(r17171, r17162, r17170, MPFR_RNDN);
        mpfr_add(r17172, r17161, r17171, MPFR_RNDN);
        mpfr_sub(r17173, r17172, r17163, MPFR_RNDN);
        return mpfr_get_d(r17173, MPFR_RNDN);
}

static mpfr_t r17174, r17175, r17176, r17177, r17178, r17179, r17180, r17181, r17182, r17183, r17184, r17185, r17186, r17187, r17188, r17189, r17190, r17191, r17192, r17193;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17174);
        mpfr_init(r17175);
        mpfr_init(r17176);
        mpfr_init(r17177);
        mpfr_init(r17178);
        mpfr_init(r17179);
        mpfr_init(r17180);
        mpfr_init(r17181);
        mpfr_init_set_str(r17182, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r17183, "1", 10, MPFR_RNDN);
        mpfr_init(r17184);
        mpfr_init(r17185);
        mpfr_init_set_str(r17186, "3", 10, MPFR_RNDN);
        mpfr_init(r17187);
        mpfr_init(r17188);
        mpfr_init(r17189);
        mpfr_init(r17190);
        mpfr_init(r17191);
        mpfr_init(r17192);
        mpfr_init(r17193);
}

double f_dm(double a, double b) {
        mpfr_set_d(r17174, a, MPFR_RNDN);
        mpfr_sqr(r17175, r17174, MPFR_RNDN);
        mpfr_set_d(r17176, b, MPFR_RNDN);
        mpfr_sqr(r17177, r17176, MPFR_RNDN);
        mpfr_add(r17178, r17175, r17177, MPFR_RNDN);
        mpfr_sqrt(r17179, r17178, MPFR_RNDN);
        mpfr_mul(r17180, r17179, r17179, MPFR_RNDN);
        mpfr_sqr(r17181, r17180, MPFR_RNDN);
        ;
        ;
        mpfr_add(r17184, r17183, r17174, MPFR_RNDN);
        mpfr_mul(r17185, r17175, r17184, MPFR_RNDN);
        ;
        mpfr_mul(r17187, r17186, r17174, MPFR_RNDN);
        mpfr_sub(r17188, r17183, r17187, MPFR_RNDN);
        mpfr_mul(r17189, r17177, r17188, MPFR_RNDN);
        mpfr_add(r17190, r17185, r17189, MPFR_RNDN);
        mpfr_mul(r17191, r17182, r17190, MPFR_RNDN);
        mpfr_add(r17192, r17181, r17191, MPFR_RNDN);
        mpfr_sub(r17193, r17192, r17183, MPFR_RNDN);
        return mpfr_get_d(r17193, MPFR_RNDN);
}