#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 r23039 = a;
        float r23040 = r23039 * r23039;
        float r23041 = b;
        float r23042 = r23041 * r23041;
        float r23043 = r23040 + r23042;
        float r23044 = 2;
        float r23045 = pow(r23043, r23044);
        float r23046 = 4;
        float r23047 = 1;
        float r23048 = r23047 + r23039;
        float r23049 = r23040 * r23048;
        float r23050 = 3;
        float r23051 = r23050 * r23039;
        float r23052 = r23047 - r23051;
        float r23053 = r23042 * r23052;
        float r23054 = r23049 + r23053;
        float r23055 = r23046 * r23054;
        float r23056 = r23045 + r23055;
        float r23057 = r23056 - r23047;
        return r23057;
}

double f_id(double a, double b) {
        double r23058 = a;
        double r23059 = r23058 * r23058;
        double r23060 = b;
        double r23061 = r23060 * r23060;
        double r23062 = r23059 + r23061;
        double r23063 = 2;
        double r23064 = pow(r23062, r23063);
        double r23065 = 4;
        double r23066 = 1;
        double r23067 = r23066 + r23058;
        double r23068 = r23059 * r23067;
        double r23069 = 3;
        double r23070 = r23069 * r23058;
        double r23071 = r23066 - r23070;
        double r23072 = r23061 * r23071;
        double r23073 = r23068 + r23072;
        double r23074 = r23065 * r23073;
        double r23075 = r23064 + r23074;
        double r23076 = r23075 - r23066;
        return r23076;
}


double f_of(float a, float b) {
        float r23077 = a;
        float r23078 = r23077 * r23077;
        float r23079 = b;
        float r23080 = r23079 * r23079;
        float r23081 = r23078 + r23080;
        float r23082 = 2;
        float r23083 = pow(r23081, r23082);
        float r23084 = 4;
        float r23085 = 1;
        float r23086 = r23085 + r23077;
        float r23087 = r23078 * r23086;
        float r23088 = 3;
        float r23089 = r23088 * r23077;
        float r23090 = r23085 - r23089;
        float r23091 = r23080 * r23090;
        float r23092 = r23087 + r23091;
        float r23093 = r23084 * r23092;
        float r23094 = r23083 + r23093;
        float r23095 = sqrt(r23094);
        float r23096 = r23095 * r23095;
        float r23097 = r23096 - r23085;
        return r23097;
}

double f_od(double a, double b) {
        double r23098 = a;
        double r23099 = r23098 * r23098;
        double r23100 = b;
        double r23101 = r23100 * r23100;
        double r23102 = r23099 + r23101;
        double r23103 = 2;
        double r23104 = pow(r23102, r23103);
        double r23105 = 4;
        double r23106 = 1;
        double r23107 = r23106 + r23098;
        double r23108 = r23099 * r23107;
        double r23109 = 3;
        double r23110 = r23109 * r23098;
        double r23111 = r23106 - r23110;
        double r23112 = r23101 * r23111;
        double r23113 = r23108 + r23112;
        double r23114 = r23105 * r23113;
        double r23115 = r23104 + r23114;
        double r23116 = sqrt(r23115);
        double r23117 = r23116 * r23116;
        double r23118 = r23117 - r23106;
        return r23118;
}

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 r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131, r23132, r23133, r23134, r23135, r23136, r23137;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init(r23122);
        mpfr_init(r23123);
        mpfr_init_set_str(r23124, "2", 10, MPFR_RNDN);
        mpfr_init(r23125);
        mpfr_init_set_str(r23126, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23127, "1", 10, MPFR_RNDN);
        mpfr_init(r23128);
        mpfr_init(r23129);
        mpfr_init_set_str(r23130, "3", 10, MPFR_RNDN);
        mpfr_init(r23131);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init(r23135);
        mpfr_init(r23136);
        mpfr_init(r23137);
}

double f_im(double a, double b) {
        mpfr_set_d(r23119, a, MPFR_RNDN);
        mpfr_mul(r23120, r23119, r23119, MPFR_RNDN);
        mpfr_set_d(r23121, b, MPFR_RNDN);
        mpfr_mul(r23122, r23121, r23121, MPFR_RNDN);
        mpfr_add(r23123, r23120, r23122, MPFR_RNDN);
        ;
        mpfr_pow(r23125, r23123, r23124, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23128, r23127, r23119, MPFR_RNDN);
        mpfr_mul(r23129, r23120, r23128, MPFR_RNDN);
        ;
        mpfr_mul(r23131, r23130, r23119, MPFR_RNDN);
        mpfr_sub(r23132, r23127, r23131, MPFR_RNDN);
        mpfr_mul(r23133, r23122, r23132, MPFR_RNDN);
        mpfr_add(r23134, r23129, r23133, MPFR_RNDN);
        mpfr_mul(r23135, r23126, r23134, MPFR_RNDN);
        mpfr_add(r23136, r23125, r23135, MPFR_RNDN);
        mpfr_sub(r23137, r23136, r23127, MPFR_RNDN);
        return mpfr_get_d(r23137, MPFR_RNDN);
}

static mpfr_t r23138, r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, r23154, r23155, r23156, r23157, r23158;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23138);
        mpfr_init(r23139);
        mpfr_init(r23140);
        mpfr_init(r23141);
        mpfr_init(r23142);
        mpfr_init_set_str(r23143, "2", 10, MPFR_RNDN);
        mpfr_init(r23144);
        mpfr_init_set_str(r23145, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23146, "1", 10, MPFR_RNDN);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init_set_str(r23149, "3", 10, MPFR_RNDN);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init(r23154);
        mpfr_init(r23155);
        mpfr_init(r23156);
        mpfr_init(r23157);
        mpfr_init(r23158);
}

double f_fm(double a, double b) {
        mpfr_set_d(r23138, a, MPFR_RNDN);
        mpfr_mul(r23139, r23138, r23138, MPFR_RNDN);
        mpfr_set_d(r23140, b, MPFR_RNDN);
        mpfr_mul(r23141, r23140, r23140, MPFR_RNDN);
        mpfr_add(r23142, r23139, r23141, MPFR_RNDN);
        ;
        mpfr_pow(r23144, r23142, r23143, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23147, r23146, r23138, MPFR_RNDN);
        mpfr_mul(r23148, r23139, r23147, MPFR_RNDN);
        ;
        mpfr_mul(r23150, r23149, r23138, MPFR_RNDN);
        mpfr_sub(r23151, r23146, r23150, MPFR_RNDN);
        mpfr_mul(r23152, r23141, r23151, MPFR_RNDN);
        mpfr_add(r23153, r23148, r23152, MPFR_RNDN);
        mpfr_mul(r23154, r23145, r23153, MPFR_RNDN);
        mpfr_add(r23155, r23144, r23154, MPFR_RNDN);
        mpfr_sqrt(r23156, r23155, MPFR_RNDN);
        mpfr_mul(r23157, r23156, r23156, MPFR_RNDN);
        mpfr_sub(r23158, r23157, r23146, MPFR_RNDN);
        return mpfr_get_d(r23158, MPFR_RNDN);
}

static mpfr_t r23159, r23160, r23161, r23162, r23163, r23164, r23165, r23166, r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175, r23176, r23177, r23178, r23179;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23159);
        mpfr_init(r23160);
        mpfr_init(r23161);
        mpfr_init(r23162);
        mpfr_init(r23163);
        mpfr_init_set_str(r23164, "2", 10, MPFR_RNDN);
        mpfr_init(r23165);
        mpfr_init_set_str(r23166, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23167, "1", 10, MPFR_RNDN);
        mpfr_init(r23168);
        mpfr_init(r23169);
        mpfr_init_set_str(r23170, "3", 10, MPFR_RNDN);
        mpfr_init(r23171);
        mpfr_init(r23172);
        mpfr_init(r23173);
        mpfr_init(r23174);
        mpfr_init(r23175);
        mpfr_init(r23176);
        mpfr_init(r23177);
        mpfr_init(r23178);
        mpfr_init(r23179);
}

double f_dm(double a, double b) {
        mpfr_set_d(r23159, a, MPFR_RNDN);
        mpfr_mul(r23160, r23159, r23159, MPFR_RNDN);
        mpfr_set_d(r23161, b, MPFR_RNDN);
        mpfr_mul(r23162, r23161, r23161, MPFR_RNDN);
        mpfr_add(r23163, r23160, r23162, MPFR_RNDN);
        ;
        mpfr_pow(r23165, r23163, r23164, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23168, r23167, r23159, MPFR_RNDN);
        mpfr_mul(r23169, r23160, r23168, MPFR_RNDN);
        ;
        mpfr_mul(r23171, r23170, r23159, MPFR_RNDN);
        mpfr_sub(r23172, r23167, r23171, MPFR_RNDN);
        mpfr_mul(r23173, r23162, r23172, MPFR_RNDN);
        mpfr_add(r23174, r23169, r23173, MPFR_RNDN);
        mpfr_mul(r23175, r23166, r23174, MPFR_RNDN);
        mpfr_add(r23176, r23165, r23175, MPFR_RNDN);
        mpfr_sqrt(r23177, r23176, MPFR_RNDN);
        mpfr_mul(r23178, r23177, r23177, MPFR_RNDN);
        mpfr_sub(r23179, r23178, r23167, MPFR_RNDN);
        return mpfr_get_d(r23179, MPFR_RNDN);
}