#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 r22045 = a;
        float r22046 = r22045 * r22045;
        float r22047 = b;
        float r22048 = r22047 * r22047;
        float r22049 = r22046 + r22048;
        float r22050 = 2;
        float r22051 = pow(r22049, r22050);
        float r22052 = 4;
        float r22053 = 1;
        float r22054 = r22053 + r22045;
        float r22055 = r22046 * r22054;
        float r22056 = 3;
        float r22057 = r22056 * r22045;
        float r22058 = r22053 - r22057;
        float r22059 = r22048 * r22058;
        float r22060 = r22055 + r22059;
        float r22061 = r22052 * r22060;
        float r22062 = r22051 + r22061;
        float r22063 = r22062 - r22053;
        return r22063;
}

double f_id(double a, double b) {
        double r22064 = a;
        double r22065 = r22064 * r22064;
        double r22066 = b;
        double r22067 = r22066 * r22066;
        double r22068 = r22065 + r22067;
        double r22069 = 2;
        double r22070 = pow(r22068, r22069);
        double r22071 = 4;
        double r22072 = 1;
        double r22073 = r22072 + r22064;
        double r22074 = r22065 * r22073;
        double r22075 = 3;
        double r22076 = r22075 * r22064;
        double r22077 = r22072 - r22076;
        double r22078 = r22067 * r22077;
        double r22079 = r22074 + r22078;
        double r22080 = r22071 * r22079;
        double r22081 = r22070 + r22080;
        double r22082 = r22081 - r22072;
        return r22082;
}


double f_of(float a, float b) {
        float r22083 = a;
        float r22084 = r22083 * r22083;
        float r22085 = b;
        float r22086 = r22085 * r22085;
        float r22087 = r22084 + r22086;
        float r22088 = 2;
        float r22089 = pow(r22087, r22088);
        float r22090 = 4;
        float r22091 = 1;
        float r22092 = r22091 + r22083;
        float r22093 = r22084 * r22092;
        float r22094 = 3;
        float r22095 = r22094 * r22083;
        float r22096 = r22091 - r22095;
        float r22097 = r22086 * r22096;
        float r22098 = r22093 + r22097;
        float r22099 = r22090 * r22098;
        float r22100 = r22089 + r22099;
        float r22101 = r22100 - r22091;
        return r22101;
}

double f_od(double a, double b) {
        double r22102 = a;
        double r22103 = r22102 * r22102;
        double r22104 = b;
        double r22105 = r22104 * r22104;
        double r22106 = r22103 + r22105;
        double r22107 = 2;
        double r22108 = pow(r22106, r22107);
        double r22109 = 4;
        double r22110 = 1;
        double r22111 = r22110 + r22102;
        double r22112 = r22103 * r22111;
        double r22113 = 3;
        double r22114 = r22113 * r22102;
        double r22115 = r22110 - r22114;
        double r22116 = r22105 * r22115;
        double r22117 = r22112 + r22116;
        double r22118 = r22109 * r22117;
        double r22119 = r22108 + r22118;
        double r22120 = r22119 - r22110;
        return r22120;
}

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 r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130, r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22121);
        mpfr_init(r22122);
        mpfr_init(r22123);
        mpfr_init(r22124);
        mpfr_init(r22125);
        mpfr_init_set_str(r22126, "2", 10, MPFR_RNDN);
        mpfr_init(r22127);
        mpfr_init_set_str(r22128, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r22129, "1", 10, MPFR_RNDN);
        mpfr_init(r22130);
        mpfr_init(r22131);
        mpfr_init_set_str(r22132, "3", 10, MPFR_RNDN);
        mpfr_init(r22133);
        mpfr_init(r22134);
        mpfr_init(r22135);
        mpfr_init(r22136);
        mpfr_init(r22137);
        mpfr_init(r22138);
        mpfr_init(r22139);
}

double f_im(double a, double b) {
        mpfr_set_d(r22121, a, MPFR_RNDN);
        mpfr_mul(r22122, r22121, r22121, MPFR_RNDN);
        mpfr_set_d(r22123, b, MPFR_RNDN);
        mpfr_mul(r22124, r22123, r22123, MPFR_RNDN);
        mpfr_add(r22125, r22122, r22124, MPFR_RNDN);
        ;
        mpfr_pow(r22127, r22125, r22126, MPFR_RNDN);
        ;
        ;
        mpfr_add(r22130, r22129, r22121, MPFR_RNDN);
        mpfr_mul(r22131, r22122, r22130, MPFR_RNDN);
        ;
        mpfr_mul(r22133, r22132, r22121, MPFR_RNDN);
        mpfr_sub(r22134, r22129, r22133, MPFR_RNDN);
        mpfr_mul(r22135, r22124, r22134, MPFR_RNDN);
        mpfr_add(r22136, r22131, r22135, MPFR_RNDN);
        mpfr_mul(r22137, r22128, r22136, MPFR_RNDN);
        mpfr_add(r22138, r22127, r22137, MPFR_RNDN);
        mpfr_sub(r22139, r22138, r22129, MPFR_RNDN);
        return mpfr_get_d(r22139, MPFR_RNDN);
}

static mpfr_t r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22140);
        mpfr_init(r22141);
        mpfr_init(r22142);
        mpfr_init(r22143);
        mpfr_init(r22144);
        mpfr_init_set_str(r22145, "2", 10, MPFR_RNDN);
        mpfr_init(r22146);
        mpfr_init_set_str(r22147, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r22148, "1", 10, MPFR_RNDN);
        mpfr_init(r22149);
        mpfr_init(r22150);
        mpfr_init_set_str(r22151, "3", 10, MPFR_RNDN);
        mpfr_init(r22152);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init(r22155);
        mpfr_init(r22156);
        mpfr_init(r22157);
        mpfr_init(r22158);
}

double f_fm(double a, double b) {
        mpfr_set_d(r22140, a, MPFR_RNDN);
        mpfr_mul(r22141, r22140, r22140, MPFR_RNDN);
        mpfr_set_d(r22142, b, MPFR_RNDN);
        mpfr_mul(r22143, r22142, r22142, MPFR_RNDN);
        mpfr_add(r22144, r22141, r22143, MPFR_RNDN);
        ;
        mpfr_pow(r22146, r22144, r22145, MPFR_RNDN);
        ;
        ;
        mpfr_add(r22149, r22148, r22140, MPFR_RNDN);
        mpfr_mul(r22150, r22141, r22149, MPFR_RNDN);
        ;
        mpfr_mul(r22152, r22151, r22140, MPFR_RNDN);
        mpfr_sub(r22153, r22148, r22152, MPFR_RNDN);
        mpfr_mul(r22154, r22143, r22153, MPFR_RNDN);
        mpfr_add(r22155, r22150, r22154, MPFR_RNDN);
        mpfr_mul(r22156, r22147, r22155, MPFR_RNDN);
        mpfr_add(r22157, r22146, r22156, MPFR_RNDN);
        mpfr_sub(r22158, r22157, r22148, MPFR_RNDN);
        return mpfr_get_d(r22158, MPFR_RNDN);
}

static mpfr_t r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22159);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init(r22162);
        mpfr_init(r22163);
        mpfr_init_set_str(r22164, "2", 10, MPFR_RNDN);
        mpfr_init(r22165);
        mpfr_init_set_str(r22166, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r22167, "1", 10, MPFR_RNDN);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init_set_str(r22170, "3", 10, MPFR_RNDN);
        mpfr_init(r22171);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init(r22177);
}

double f_dm(double a, double b) {
        mpfr_set_d(r22159, a, MPFR_RNDN);
        mpfr_mul(r22160, r22159, r22159, MPFR_RNDN);
        mpfr_set_d(r22161, b, MPFR_RNDN);
        mpfr_mul(r22162, r22161, r22161, MPFR_RNDN);
        mpfr_add(r22163, r22160, r22162, MPFR_RNDN);
        ;
        mpfr_pow(r22165, r22163, r22164, MPFR_RNDN);
        ;
        ;
        mpfr_add(r22168, r22167, r22159, MPFR_RNDN);
        mpfr_mul(r22169, r22160, r22168, MPFR_RNDN);
        ;
        mpfr_mul(r22171, r22170, r22159, MPFR_RNDN);
        mpfr_sub(r22172, r22167, r22171, MPFR_RNDN);
        mpfr_mul(r22173, r22162, r22172, MPFR_RNDN);
        mpfr_add(r22174, r22169, r22173, MPFR_RNDN);
        mpfr_mul(r22175, r22166, r22174, MPFR_RNDN);
        mpfr_add(r22176, r22165, r22175, MPFR_RNDN);
        mpfr_sub(r22177, r22176, r22167, MPFR_RNDN);
        return mpfr_get_d(r22177, MPFR_RNDN);
}