#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 r17040 = a;
        float r17041 = r17040 * r17040;
        float r17042 = b;
        float r17043 = r17042 * r17042;
        float r17044 = r17041 + r17043;
        float r17045 = r17044 * r17044;
        float r17046 = 4.0f;
        float r17047 = 1.0f;
        float r17048 = r17047 + r17040;
        float r17049 = r17041 * r17048;
        float r17050 = 3.0f;
        float r17051 = r17050 * r17040;
        float r17052 = r17047 - r17051;
        float r17053 = r17043 * r17052;
        float r17054 = r17049 + r17053;
        float r17055 = r17046 * r17054;
        float r17056 = r17045 + r17055;
        float r17057 = r17056 - r17047;
        return r17057;
}

double f_id(double a, double b) {
        double r17058 = a;
        double r17059 = r17058 * r17058;
        double r17060 = b;
        double r17061 = r17060 * r17060;
        double r17062 = r17059 + r17061;
        double r17063 = r17062 * r17062;
        double r17064 = 4.0;
        double r17065 = 1.0;
        double r17066 = r17065 + r17058;
        double r17067 = r17059 * r17066;
        double r17068 = 3.0;
        double r17069 = r17068 * r17058;
        double r17070 = r17065 - r17069;
        double r17071 = r17061 * r17070;
        double r17072 = r17067 + r17071;
        double r17073 = r17064 * r17072;
        double r17074 = r17063 + r17073;
        double r17075 = r17074 - r17065;
        return r17075;
}


double f_of(float a, float b) {
        float r17076 = a;
        float r17077 = r17076 * r17076;
        float r17078 = b;
        float r17079 = r17078 * r17078;
        float r17080 = r17077 + r17079;
        float r17081 = sqrt(r17080);
        float r17082 = r17081 * r17081;
        float r17083 = r17082 * r17082;
        float r17084 = 4.0f;
        float r17085 = 1.0f;
        float r17086 = r17085 + r17076;
        float r17087 = r17077 * r17086;
        float r17088 = 3.0f;
        float r17089 = r17088 * r17076;
        float r17090 = r17085 - r17089;
        float r17091 = r17079 * r17090;
        float r17092 = r17087 + r17091;
        float r17093 = r17084 * r17092;
        float r17094 = r17083 + r17093;
        float r17095 = r17094 - r17085;
        return r17095;
}

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

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 r17116, r17117, r17118, r17119, r17120, r17121, r17122, r17123, r17124, r17125, r17126, r17127, r17128, r17129, r17130, r17131, r17132, r17133;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r17116);
        mpfr_init(r17117);
        mpfr_init(r17118);
        mpfr_init(r17119);
        mpfr_init(r17120);
        mpfr_init(r17121);
        mpfr_init_set_str(r17122, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r17123, "1", 10, MPFR_RNDN);
        mpfr_init(r17124);
        mpfr_init(r17125);
        mpfr_init_set_str(r17126, "3", 10, MPFR_RNDN);
        mpfr_init(r17127);
        mpfr_init(r17128);
        mpfr_init(r17129);
        mpfr_init(r17130);
        mpfr_init(r17131);
        mpfr_init(r17132);
        mpfr_init(r17133);
}

double f_im(double a, double b) {
        mpfr_set_d(r17116, a, MPFR_RNDN);
        mpfr_sqr(r17117, r17116, MPFR_RNDN);
        mpfr_set_d(r17118, b, MPFR_RNDN);
        mpfr_sqr(r17119, r17118, MPFR_RNDN);
        mpfr_add(r17120, r17117, r17119, MPFR_RNDN);
        mpfr_sqr(r17121, r17120, MPFR_RNDN);
        ;
        ;
        mpfr_add(r17124, r17123, r17116, MPFR_RNDN);
        mpfr_mul(r17125, r17117, r17124, MPFR_RNDN);
        ;
        mpfr_mul(r17127, r17126, r17116, MPFR_RNDN);
        mpfr_sub(r17128, r17123, r17127, MPFR_RNDN);
        mpfr_mul(r17129, r17119, r17128, MPFR_RNDN);
        mpfr_add(r17130, r17125, r17129, MPFR_RNDN);
        mpfr_mul(r17131, r17122, r17130, MPFR_RNDN);
        mpfr_add(r17132, r17121, r17131, MPFR_RNDN);
        mpfr_sub(r17133, r17132, r17123, MPFR_RNDN);
        return mpfr_get_d(r17133, MPFR_RNDN);
}

static mpfr_t r17134, r17135, r17136, r17137, r17138, r17139, r17140, r17141, r17142, r17143, r17144, r17145, r17146, r17147, r17148, r17149, r17150, r17151, r17152, r17153;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17134);
        mpfr_init(r17135);
        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_fm(double a, double b) {
        mpfr_set_d(r17134, a, MPFR_RNDN);
        mpfr_sqr(r17135, r17134, MPFR_RNDN);
        mpfr_set_d(r17136, b, MPFR_RNDN);
        mpfr_sqr(r17137, r17136, MPFR_RNDN);
        mpfr_add(r17138, r17135, r17137, MPFR_RNDN);
        mpfr_sqrt(r17139, r17138, MPFR_RNDN);
        mpfr_mul(r17140, r17139, r17139, MPFR_RNDN);
        mpfr_sqr(r17141, r17140, MPFR_RNDN);
        ;
        ;
        mpfr_add(r17144, r17143, r17134, MPFR_RNDN);
        mpfr_mul(r17145, r17135, r17144, MPFR_RNDN);
        ;
        mpfr_mul(r17147, r17146, r17134, MPFR_RNDN);
        mpfr_sub(r17148, r17143, r17147, MPFR_RNDN);
        mpfr_mul(r17149, r17137, 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_dm() {
        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_dm(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);
}