#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 r24581 = a;
        float r24582 = r24581 * r24581;
        float r24583 = b;
        float r24584 = r24583 * r24583;
        float r24585 = r24582 + r24584;
        float r24586 = 2;
        float r24587 = pow(r24585, r24586);
        float r24588 = 4;
        float r24589 = 1;
        float r24590 = r24589 + r24581;
        float r24591 = r24582 * r24590;
        float r24592 = 3;
        float r24593 = r24592 * r24581;
        float r24594 = r24589 - r24593;
        float r24595 = r24584 * r24594;
        float r24596 = r24591 + r24595;
        float r24597 = r24588 * r24596;
        float r24598 = r24587 + r24597;
        float r24599 = r24598 - r24589;
        return r24599;
}

double f_id(double a, double b) {
        double r24600 = a;
        double r24601 = r24600 * r24600;
        double r24602 = b;
        double r24603 = r24602 * r24602;
        double r24604 = r24601 + r24603;
        double r24605 = 2;
        double r24606 = pow(r24604, r24605);
        double r24607 = 4;
        double r24608 = 1;
        double r24609 = r24608 + r24600;
        double r24610 = r24601 * r24609;
        double r24611 = 3;
        double r24612 = r24611 * r24600;
        double r24613 = r24608 - r24612;
        double r24614 = r24603 * r24613;
        double r24615 = r24610 + r24614;
        double r24616 = r24607 * r24615;
        double r24617 = r24606 + r24616;
        double r24618 = r24617 - r24608;
        return r24618;
}


double f_of(float a, float b) {
        float r24619 = a;
        float r24620 = r24619 * r24619;
        float r24621 = b;
        float r24622 = r24621 * r24621;
        float r24623 = r24620 + r24622;
        float r24624 = 2;
        float r24625 = pow(r24623, r24624);
        float r24626 = 4;
        float r24627 = 1;
        float r24628 = r24627 + r24619;
        float r24629 = r24620 * r24628;
        float r24630 = 3;
        float r24631 = r24630 * r24619;
        float r24632 = r24627 - r24631;
        float r24633 = r24622 * r24632;
        float r24634 = r24629 + r24633;
        float r24635 = r24626 * r24634;
        float r24636 = r24625 + r24635;
        float r24637 = sqrt(r24636);
        float r24638 = r24637 * r24637;
        float r24639 = r24638 - r24627;
        return r24639;
}

double f_od(double a, double b) {
        double r24640 = a;
        double r24641 = r24640 * r24640;
        double r24642 = b;
        double r24643 = r24642 * r24642;
        double r24644 = r24641 + r24643;
        double r24645 = 2;
        double r24646 = pow(r24644, r24645);
        double r24647 = 4;
        double r24648 = 1;
        double r24649 = r24648 + r24640;
        double r24650 = r24641 * r24649;
        double r24651 = 3;
        double r24652 = r24651 * r24640;
        double r24653 = r24648 - r24652;
        double r24654 = r24643 * r24653;
        double r24655 = r24650 + r24654;
        double r24656 = r24647 * r24655;
        double r24657 = r24646 + r24656;
        double r24658 = sqrt(r24657);
        double r24659 = r24658 * r24658;
        double r24660 = r24659 - r24648;
        return r24660;
}

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 r24661, r24662, r24663, r24664, r24665, r24666, r24667, r24668, r24669, r24670, r24671, r24672, r24673, r24674, r24675, r24676, r24677, r24678, r24679;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r24661);
        mpfr_init(r24662);
        mpfr_init(r24663);
        mpfr_init(r24664);
        mpfr_init(r24665);
        mpfr_init_set_str(r24666, "2", 10, MPFR_RNDN);
        mpfr_init(r24667);
        mpfr_init_set_str(r24668, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r24669, "1", 10, MPFR_RNDN);
        mpfr_init(r24670);
        mpfr_init(r24671);
        mpfr_init_set_str(r24672, "3", 10, MPFR_RNDN);
        mpfr_init(r24673);
        mpfr_init(r24674);
        mpfr_init(r24675);
        mpfr_init(r24676);
        mpfr_init(r24677);
        mpfr_init(r24678);
        mpfr_init(r24679);
}

double f_im(double a, double b) {
        mpfr_set_d(r24661, a, MPFR_RNDN);
        mpfr_mul(r24662, r24661, r24661, MPFR_RNDN);
        mpfr_set_d(r24663, b, MPFR_RNDN);
        mpfr_mul(r24664, r24663, r24663, MPFR_RNDN);
        mpfr_add(r24665, r24662, r24664, MPFR_RNDN);
        ;
        mpfr_pow(r24667, r24665, r24666, MPFR_RNDN);
        ;
        ;
        mpfr_add(r24670, r24669, r24661, MPFR_RNDN);
        mpfr_mul(r24671, r24662, r24670, MPFR_RNDN);
        ;
        mpfr_mul(r24673, r24672, r24661, MPFR_RNDN);
        mpfr_sub(r24674, r24669, r24673, MPFR_RNDN);
        mpfr_mul(r24675, r24664, r24674, MPFR_RNDN);
        mpfr_add(r24676, r24671, r24675, MPFR_RNDN);
        mpfr_mul(r24677, r24668, r24676, MPFR_RNDN);
        mpfr_add(r24678, r24667, r24677, MPFR_RNDN);
        mpfr_sub(r24679, r24678, r24669, MPFR_RNDN);
        return mpfr_get_d(r24679, MPFR_RNDN);
}

static mpfr_t r24680, r24681, r24682, r24683, r24684, r24685, r24686, r24687, r24688, r24689, r24690, r24691, r24692, r24693, r24694, r24695, r24696, r24697, r24698, r24699, r24700;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r24680);
        mpfr_init(r24681);
        mpfr_init(r24682);
        mpfr_init(r24683);
        mpfr_init(r24684);
        mpfr_init_set_str(r24685, "2", 10, MPFR_RNDN);
        mpfr_init(r24686);
        mpfr_init_set_str(r24687, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r24688, "1", 10, MPFR_RNDN);
        mpfr_init(r24689);
        mpfr_init(r24690);
        mpfr_init_set_str(r24691, "3", 10, MPFR_RNDN);
        mpfr_init(r24692);
        mpfr_init(r24693);
        mpfr_init(r24694);
        mpfr_init(r24695);
        mpfr_init(r24696);
        mpfr_init(r24697);
        mpfr_init(r24698);
        mpfr_init(r24699);
        mpfr_init(r24700);
}

double f_fm(double a, double b) {
        mpfr_set_d(r24680, a, MPFR_RNDN);
        mpfr_mul(r24681, r24680, r24680, MPFR_RNDN);
        mpfr_set_d(r24682, b, MPFR_RNDN);
        mpfr_mul(r24683, r24682, r24682, MPFR_RNDN);
        mpfr_add(r24684, r24681, r24683, MPFR_RNDN);
        ;
        mpfr_pow(r24686, r24684, r24685, MPFR_RNDN);
        ;
        ;
        mpfr_add(r24689, r24688, r24680, MPFR_RNDN);
        mpfr_mul(r24690, r24681, r24689, MPFR_RNDN);
        ;
        mpfr_mul(r24692, r24691, r24680, MPFR_RNDN);
        mpfr_sub(r24693, r24688, r24692, MPFR_RNDN);
        mpfr_mul(r24694, r24683, r24693, MPFR_RNDN);
        mpfr_add(r24695, r24690, r24694, MPFR_RNDN);
        mpfr_mul(r24696, r24687, r24695, MPFR_RNDN);
        mpfr_add(r24697, r24686, r24696, MPFR_RNDN);
        mpfr_sqrt(r24698, r24697, MPFR_RNDN);
        mpfr_mul(r24699, r24698, r24698, MPFR_RNDN);
        mpfr_sub(r24700, r24699, r24688, MPFR_RNDN);
        return mpfr_get_d(r24700, MPFR_RNDN);
}

static mpfr_t r24701, r24702, r24703, r24704, r24705, r24706, r24707, r24708, r24709, r24710, r24711, r24712, r24713, r24714, r24715, r24716, r24717, r24718, r24719, r24720, r24721;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r24701);
        mpfr_init(r24702);
        mpfr_init(r24703);
        mpfr_init(r24704);
        mpfr_init(r24705);
        mpfr_init_set_str(r24706, "2", 10, MPFR_RNDN);
        mpfr_init(r24707);
        mpfr_init_set_str(r24708, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r24709, "1", 10, MPFR_RNDN);
        mpfr_init(r24710);
        mpfr_init(r24711);
        mpfr_init_set_str(r24712, "3", 10, MPFR_RNDN);
        mpfr_init(r24713);
        mpfr_init(r24714);
        mpfr_init(r24715);
        mpfr_init(r24716);
        mpfr_init(r24717);
        mpfr_init(r24718);
        mpfr_init(r24719);
        mpfr_init(r24720);
        mpfr_init(r24721);
}

double f_dm(double a, double b) {
        mpfr_set_d(r24701, a, MPFR_RNDN);
        mpfr_mul(r24702, r24701, r24701, MPFR_RNDN);
        mpfr_set_d(r24703, b, MPFR_RNDN);
        mpfr_mul(r24704, r24703, r24703, MPFR_RNDN);
        mpfr_add(r24705, r24702, r24704, MPFR_RNDN);
        ;
        mpfr_pow(r24707, r24705, r24706, MPFR_RNDN);
        ;
        ;
        mpfr_add(r24710, r24709, r24701, MPFR_RNDN);
        mpfr_mul(r24711, r24702, r24710, MPFR_RNDN);
        ;
        mpfr_mul(r24713, r24712, r24701, MPFR_RNDN);
        mpfr_sub(r24714, r24709, r24713, MPFR_RNDN);
        mpfr_mul(r24715, r24704, r24714, MPFR_RNDN);
        mpfr_add(r24716, r24711, r24715, MPFR_RNDN);
        mpfr_mul(r24717, r24708, r24716, MPFR_RNDN);
        mpfr_add(r24718, r24707, r24717, MPFR_RNDN);
        mpfr_sqrt(r24719, r24718, MPFR_RNDN);
        mpfr_mul(r24720, r24719, r24719, MPFR_RNDN);
        mpfr_sub(r24721, r24720, r24709, MPFR_RNDN);
        return mpfr_get_d(r24721, MPFR_RNDN);
}