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

char *name = "Bouland and Aaronson, Equation (24)";

double f_if(float a, float b) {
        float r25022 = a;
        float r25023 = r25022 * r25022;
        float r25024 = b;
        float r25025 = r25024 * r25024;
        float r25026 = r25023 + r25025;
        float r25027 = 2;
        float r25028 = pow(r25026, r25027);
        float r25029 = 4;
        float r25030 = 1;
        float r25031 = r25030 - r25022;
        float r25032 = r25023 * r25031;
        float r25033 = 3;
        float r25034 = r25033 + r25022;
        float r25035 = r25025 * r25034;
        float r25036 = r25032 + r25035;
        float r25037 = r25029 * r25036;
        float r25038 = r25028 + r25037;
        float r25039 = r25038 - r25030;
        return r25039;
}

double f_id(double a, double b) {
        double r25040 = a;
        double r25041 = r25040 * r25040;
        double r25042 = b;
        double r25043 = r25042 * r25042;
        double r25044 = r25041 + r25043;
        double r25045 = 2;
        double r25046 = pow(r25044, r25045);
        double r25047 = 4;
        double r25048 = 1;
        double r25049 = r25048 - r25040;
        double r25050 = r25041 * r25049;
        double r25051 = 3;
        double r25052 = r25051 + r25040;
        double r25053 = r25043 * r25052;
        double r25054 = r25050 + r25053;
        double r25055 = r25047 * r25054;
        double r25056 = r25046 + r25055;
        double r25057 = r25056 - r25048;
        return r25057;
}


double f_of(float a, float b) {
        float r25058 = a;
        float r25059 = r25058 * r25058;
        float r25060 = b;
        float r25061 = r25060 * r25060;
        float r25062 = r25059 + r25061;
        float r25063 = 2;
        float r25064 = pow(r25062, r25063);
        float r25065 = 4;
        float r25066 = 1;
        float r25067 = r25066 - r25058;
        float r25068 = r25059 * r25067;
        float r25069 = 3;
        float r25070 = r25069 + r25058;
        float r25071 = r25061 * r25070;
        float r25072 = r25068 + r25071;
        float r25073 = r25065 * r25072;
        float r25074 = r25064 + r25073;
        float r25075 = sqrt(r25074);
        float r25076 = r25075 * r25075;
        float r25077 = r25076 - r25066;
        return r25077;
}

double f_od(double a, double b) {
        double r25078 = a;
        double r25079 = r25078 * r25078;
        double r25080 = b;
        double r25081 = r25080 * r25080;
        double r25082 = r25079 + r25081;
        double r25083 = 2;
        double r25084 = pow(r25082, r25083);
        double r25085 = 4;
        double r25086 = 1;
        double r25087 = r25086 - r25078;
        double r25088 = r25079 * r25087;
        double r25089 = 3;
        double r25090 = r25089 + r25078;
        double r25091 = r25081 * r25090;
        double r25092 = r25088 + r25091;
        double r25093 = r25085 * r25092;
        double r25094 = r25084 + r25093;
        double r25095 = sqrt(r25094);
        double r25096 = r25095 * r25095;
        double r25097 = r25096 - r25086;
        return r25097;
}

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 r25098, r25099, r25100, r25101, r25102, r25103, r25104, r25105, r25106, r25107, r25108, r25109, r25110, r25111, r25112, r25113, r25114, r25115;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r25098);
        mpfr_init(r25099);
        mpfr_init(r25100);
        mpfr_init(r25101);
        mpfr_init(r25102);
        mpfr_init_set_str(r25103, "2", 10, MPFR_RNDN);
        mpfr_init(r25104);
        mpfr_init_set_str(r25105, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25106, "1", 10, MPFR_RNDN);
        mpfr_init(r25107);
        mpfr_init(r25108);
        mpfr_init_set_str(r25109, "3", 10, MPFR_RNDN);
        mpfr_init(r25110);
        mpfr_init(r25111);
        mpfr_init(r25112);
        mpfr_init(r25113);
        mpfr_init(r25114);
        mpfr_init(r25115);
}

double f_im(double a, double b) {
        mpfr_set_d(r25098, a, MPFR_RNDN);
        mpfr_mul(r25099, r25098, r25098, MPFR_RNDN);
        mpfr_set_d(r25100, b, MPFR_RNDN);
        mpfr_mul(r25101, r25100, r25100, MPFR_RNDN);
        mpfr_add(r25102, r25099, r25101, MPFR_RNDN);
        ;
        mpfr_pow(r25104, r25102, r25103, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r25107, r25106, r25098, MPFR_RNDN);
        mpfr_mul(r25108, r25099, r25107, MPFR_RNDN);
        ;
        mpfr_add(r25110, r25109, r25098, MPFR_RNDN);
        mpfr_mul(r25111, r25101, r25110, MPFR_RNDN);
        mpfr_add(r25112, r25108, r25111, MPFR_RNDN);
        mpfr_mul(r25113, r25105, r25112, MPFR_RNDN);
        mpfr_add(r25114, r25104, r25113, MPFR_RNDN);
        mpfr_sub(r25115, r25114, r25106, MPFR_RNDN);
        return mpfr_get_d(r25115, MPFR_RNDN);
}

static mpfr_t r25116, r25117, r25118, r25119, r25120, r25121, r25122, r25123, r25124, r25125, r25126, r25127, r25128, r25129, r25130, r25131, r25132, r25133, r25134, r25135;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r25116);
        mpfr_init(r25117);
        mpfr_init(r25118);
        mpfr_init(r25119);
        mpfr_init(r25120);
        mpfr_init_set_str(r25121, "2", 10, MPFR_RNDN);
        mpfr_init(r25122);
        mpfr_init_set_str(r25123, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25124, "1", 10, MPFR_RNDN);
        mpfr_init(r25125);
        mpfr_init(r25126);
        mpfr_init_set_str(r25127, "3", 10, MPFR_RNDN);
        mpfr_init(r25128);
        mpfr_init(r25129);
        mpfr_init(r25130);
        mpfr_init(r25131);
        mpfr_init(r25132);
        mpfr_init(r25133);
        mpfr_init(r25134);
        mpfr_init(r25135);
}

double f_fm(double a, double b) {
        mpfr_set_d(r25116, a, MPFR_RNDN);
        mpfr_mul(r25117, r25116, r25116, MPFR_RNDN);
        mpfr_set_d(r25118, b, MPFR_RNDN);
        mpfr_mul(r25119, r25118, r25118, MPFR_RNDN);
        mpfr_add(r25120, r25117, r25119, MPFR_RNDN);
        ;
        mpfr_pow(r25122, r25120, r25121, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r25125, r25124, r25116, MPFR_RNDN);
        mpfr_mul(r25126, r25117, r25125, MPFR_RNDN);
        ;
        mpfr_add(r25128, r25127, r25116, MPFR_RNDN);
        mpfr_mul(r25129, r25119, r25128, MPFR_RNDN);
        mpfr_add(r25130, r25126, r25129, MPFR_RNDN);
        mpfr_mul(r25131, r25123, r25130, MPFR_RNDN);
        mpfr_add(r25132, r25122, r25131, MPFR_RNDN);
        mpfr_sqrt(r25133, r25132, MPFR_RNDN);
        mpfr_mul(r25134, r25133, r25133, MPFR_RNDN);
        mpfr_sub(r25135, r25134, r25124, MPFR_RNDN);
        return mpfr_get_d(r25135, MPFR_RNDN);
}

static mpfr_t r25136, r25137, r25138, r25139, r25140, r25141, r25142, r25143, r25144, r25145, r25146, r25147, r25148, r25149, r25150, r25151, r25152, r25153, r25154, r25155;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r25136);
        mpfr_init(r25137);
        mpfr_init(r25138);
        mpfr_init(r25139);
        mpfr_init(r25140);
        mpfr_init_set_str(r25141, "2", 10, MPFR_RNDN);
        mpfr_init(r25142);
        mpfr_init_set_str(r25143, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25144, "1", 10, MPFR_RNDN);
        mpfr_init(r25145);
        mpfr_init(r25146);
        mpfr_init_set_str(r25147, "3", 10, MPFR_RNDN);
        mpfr_init(r25148);
        mpfr_init(r25149);
        mpfr_init(r25150);
        mpfr_init(r25151);
        mpfr_init(r25152);
        mpfr_init(r25153);
        mpfr_init(r25154);
        mpfr_init(r25155);
}

double f_dm(double a, double b) {
        mpfr_set_d(r25136, a, MPFR_RNDN);
        mpfr_mul(r25137, r25136, r25136, MPFR_RNDN);
        mpfr_set_d(r25138, b, MPFR_RNDN);
        mpfr_mul(r25139, r25138, r25138, MPFR_RNDN);
        mpfr_add(r25140, r25137, r25139, MPFR_RNDN);
        ;
        mpfr_pow(r25142, r25140, r25141, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r25145, r25144, r25136, MPFR_RNDN);
        mpfr_mul(r25146, r25137, r25145, MPFR_RNDN);
        ;
        mpfr_add(r25148, r25147, r25136, MPFR_RNDN);
        mpfr_mul(r25149, r25139, r25148, MPFR_RNDN);
        mpfr_add(r25150, r25146, r25149, MPFR_RNDN);
        mpfr_mul(r25151, r25143, r25150, MPFR_RNDN);
        mpfr_add(r25152, r25142, r25151, MPFR_RNDN);
        mpfr_sqrt(r25153, r25152, MPFR_RNDN);
        mpfr_mul(r25154, r25153, r25153, MPFR_RNDN);
        mpfr_sub(r25155, r25154, r25144, MPFR_RNDN);
        return mpfr_get_d(r25155, MPFR_RNDN);
}