#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 r23084 = a;
        float r23085 = r23084 * r23084;
        float r23086 = b;
        float r23087 = r23086 * r23086;
        float r23088 = r23085 + r23087;
        float r23089 = 2;
        float r23090 = pow(r23088, r23089);
        float r23091 = 4;
        float r23092 = 1;
        float r23093 = r23092 - r23084;
        float r23094 = r23085 * r23093;
        float r23095 = 3;
        float r23096 = r23095 + r23084;
        float r23097 = r23087 * r23096;
        float r23098 = r23094 + r23097;
        float r23099 = r23091 * r23098;
        float r23100 = r23090 + r23099;
        float r23101 = r23100 - r23092;
        return r23101;
}

double f_id(double a, double b) {
        double r23102 = a;
        double r23103 = r23102 * r23102;
        double r23104 = b;
        double r23105 = r23104 * r23104;
        double r23106 = r23103 + r23105;
        double r23107 = 2;
        double r23108 = pow(r23106, r23107);
        double r23109 = 4;
        double r23110 = 1;
        double r23111 = r23110 - r23102;
        double r23112 = r23103 * r23111;
        double r23113 = 3;
        double r23114 = r23113 + r23102;
        double r23115 = r23105 * r23114;
        double r23116 = r23112 + r23115;
        double r23117 = r23109 * r23116;
        double r23118 = r23108 + r23117;
        double r23119 = r23118 - r23110;
        return r23119;
}


double f_of(float a, float b) {
        float r23120 = a;
        float r23121 = r23120 * r23120;
        float r23122 = b;
        float r23123 = r23122 * r23122;
        float r23124 = r23121 + r23123;
        float r23125 = 2;
        float r23126 = pow(r23124, r23125);
        float r23127 = 4;
        float r23128 = 1;
        float r23129 = r23128 - r23120;
        float r23130 = r23121 * r23129;
        float r23131 = 3;
        float r23132 = r23131 + r23120;
        float r23133 = r23123 * r23132;
        float r23134 = r23130 + r23133;
        float r23135 = r23127 * r23134;
        float r23136 = r23126 + r23135;
        float r23137 = sqrt(r23136);
        float r23138 = r23137 * r23137;
        float r23139 = r23138 - r23128;
        return r23139;
}

double f_od(double a, double b) {
        double r23140 = a;
        double r23141 = r23140 * r23140;
        double r23142 = b;
        double r23143 = r23142 * r23142;
        double r23144 = r23141 + r23143;
        double r23145 = 2;
        double r23146 = pow(r23144, r23145);
        double r23147 = 4;
        double r23148 = 1;
        double r23149 = r23148 - r23140;
        double r23150 = r23141 * r23149;
        double r23151 = 3;
        double r23152 = r23151 + r23140;
        double r23153 = r23143 * r23152;
        double r23154 = r23150 + r23153;
        double r23155 = r23147 * r23154;
        double r23156 = r23146 + r23155;
        double r23157 = sqrt(r23156);
        double r23158 = r23157 * r23157;
        double r23159 = r23158 - r23148;
        return r23159;
}

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

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

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

static mpfr_t r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185, r23186, r23187, r23188, r23189, r23190, r23191, r23192, r23193, r23194, r23195, r23196, r23197;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23178);
        mpfr_init(r23179);
        mpfr_init(r23180);
        mpfr_init(r23181);
        mpfr_init(r23182);
        mpfr_init_set_str(r23183, "2", 10, MPFR_RNDN);
        mpfr_init(r23184);
        mpfr_init_set_str(r23185, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23186, "1", 10, MPFR_RNDN);
        mpfr_init(r23187);
        mpfr_init(r23188);
        mpfr_init_set_str(r23189, "3", 10, MPFR_RNDN);
        mpfr_init(r23190);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init(r23193);
        mpfr_init(r23194);
        mpfr_init(r23195);
        mpfr_init(r23196);
        mpfr_init(r23197);
}

double f_fm(double a, double b) {
        mpfr_set_d(r23178, a, MPFR_RNDN);
        mpfr_mul(r23179, r23178, r23178, MPFR_RNDN);
        mpfr_set_d(r23180, b, MPFR_RNDN);
        mpfr_mul(r23181, r23180, r23180, MPFR_RNDN);
        mpfr_add(r23182, r23179, r23181, MPFR_RNDN);
        ;
        mpfr_pow(r23184, r23182, r23183, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r23187, r23186, r23178, MPFR_RNDN);
        mpfr_mul(r23188, r23179, r23187, MPFR_RNDN);
        ;
        mpfr_add(r23190, r23189, r23178, MPFR_RNDN);
        mpfr_mul(r23191, r23181, r23190, MPFR_RNDN);
        mpfr_add(r23192, r23188, r23191, MPFR_RNDN);
        mpfr_mul(r23193, r23185, r23192, MPFR_RNDN);
        mpfr_add(r23194, r23184, r23193, MPFR_RNDN);
        mpfr_sqrt(r23195, r23194, MPFR_RNDN);
        mpfr_mul(r23196, r23195, r23195, MPFR_RNDN);
        mpfr_sub(r23197, r23196, r23186, MPFR_RNDN);
        return mpfr_get_d(r23197, MPFR_RNDN);
}

static mpfr_t r23198, r23199, r23200, r23201, r23202, r23203, r23204, r23205, r23206, r23207, r23208, r23209, r23210, r23211, r23212, r23213, r23214, r23215, r23216, r23217;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23198);
        mpfr_init(r23199);
        mpfr_init(r23200);
        mpfr_init(r23201);
        mpfr_init(r23202);
        mpfr_init_set_str(r23203, "2", 10, MPFR_RNDN);
        mpfr_init(r23204);
        mpfr_init_set_str(r23205, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23206, "1", 10, MPFR_RNDN);
        mpfr_init(r23207);
        mpfr_init(r23208);
        mpfr_init_set_str(r23209, "3", 10, MPFR_RNDN);
        mpfr_init(r23210);
        mpfr_init(r23211);
        mpfr_init(r23212);
        mpfr_init(r23213);
        mpfr_init(r23214);
        mpfr_init(r23215);
        mpfr_init(r23216);
        mpfr_init(r23217);
}

double f_dm(double a, double b) {
        mpfr_set_d(r23198, a, MPFR_RNDN);
        mpfr_mul(r23199, r23198, r23198, MPFR_RNDN);
        mpfr_set_d(r23200, b, MPFR_RNDN);
        mpfr_mul(r23201, r23200, r23200, MPFR_RNDN);
        mpfr_add(r23202, r23199, r23201, MPFR_RNDN);
        ;
        mpfr_pow(r23204, r23202, r23203, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r23207, r23206, r23198, MPFR_RNDN);
        mpfr_mul(r23208, r23199, r23207, MPFR_RNDN);
        ;
        mpfr_add(r23210, r23209, r23198, MPFR_RNDN);
        mpfr_mul(r23211, r23201, r23210, MPFR_RNDN);
        mpfr_add(r23212, r23208, r23211, MPFR_RNDN);
        mpfr_mul(r23213, r23205, r23212, MPFR_RNDN);
        mpfr_add(r23214, r23204, r23213, MPFR_RNDN);
        mpfr_sqrt(r23215, r23214, MPFR_RNDN);
        mpfr_mul(r23216, r23215, r23215, MPFR_RNDN);
        mpfr_sub(r23217, r23216, r23206, MPFR_RNDN);
        return mpfr_get_d(r23217, MPFR_RNDN);
}