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

char *name = "NMSE Section 6.1 mentioned, B";

double f_if(float a, float b) {
        float r22116 = atan2(1.0, 0.0);
        float r22117 = 2;
        float r22118 = r22116 / r22117;
        float r22119 = 1;
        float r22120 = b;
        float r22121 = r22120 * r22120;
        float r22122 = a;
        float r22123 = r22122 * r22122;
        float r22124 = r22121 - r22123;
        float r22125 = r22119 / r22124;
        float r22126 = r22118 * r22125;
        float r22127 = r22119 / r22122;
        float r22128 = r22119 / r22120;
        float r22129 = r22127 - r22128;
        float r22130 = r22126 * r22129;
        return r22130;
}

double f_id(double a, double b) {
        double r22131 = atan2(1.0, 0.0);
        double r22132 = 2;
        double r22133 = r22131 / r22132;
        double r22134 = 1;
        double r22135 = b;
        double r22136 = r22135 * r22135;
        double r22137 = a;
        double r22138 = r22137 * r22137;
        double r22139 = r22136 - r22138;
        double r22140 = r22134 / r22139;
        double r22141 = r22133 * r22140;
        double r22142 = r22134 / r22137;
        double r22143 = r22134 / r22135;
        double r22144 = r22142 - r22143;
        double r22145 = r22141 * r22144;
        return r22145;
}


double f_of(float a, float b) {
        float r22146 = atan2(1.0, 0.0);
        float r22147 = 2;
        float r22148 = r22146 / r22147;
        float r22149 = a;
        float r22150 = b;
        float r22151 = r22149 + r22150;
        float r22152 = r22148 / r22151;
        float r22153 = r22149 * r22150;
        float r22154 = r22152 / r22153;
        return r22154;
}

double f_od(double a, double b) {
        double r22155 = atan2(1.0, 0.0);
        double r22156 = 2;
        double r22157 = r22155 / r22156;
        double r22158 = a;
        double r22159 = b;
        double r22160 = r22158 + r22159;
        double r22161 = r22157 / r22160;
        double r22162 = r22158 * r22159;
        double r22163 = r22161 / r22162;
        return r22163;
}

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 r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177, r22178;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22164);
        mpfr_init_set_str(r22165, "2", 10, MPFR_RNDN);
        mpfr_init(r22166);
        mpfr_init_set_str(r22167, "1", 10, MPFR_RNDN);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init(r22177);
        mpfr_init(r22178);
}

double f_im(double a, double b) {
        mpfr_const_pi(r22164, MPFR_RNDN);
        ;
        mpfr_div(r22166, r22164, r22165, MPFR_RNDN);
        ;
        mpfr_set_d(r22168, b, MPFR_RNDN);
        mpfr_mul(r22169, r22168, r22168, MPFR_RNDN);
        mpfr_set_d(r22170, a, MPFR_RNDN);
        mpfr_mul(r22171, r22170, r22170, MPFR_RNDN);
        mpfr_sub(r22172, r22169, r22171, MPFR_RNDN);
        mpfr_div(r22173, r22167, r22172, MPFR_RNDN);
        mpfr_mul(r22174, r22166, r22173, MPFR_RNDN);
        mpfr_div(r22175, r22167, r22170, MPFR_RNDN);
        mpfr_div(r22176, r22167, r22168, MPFR_RNDN);
        mpfr_sub(r22177, r22175, r22176, MPFR_RNDN);
        mpfr_mul(r22178, r22174, r22177, MPFR_RNDN);
        return mpfr_get_d(r22178, MPFR_RNDN);
}

static mpfr_t r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22179);
        mpfr_init_set_str(r22180, "2", 10, MPFR_RNDN);
        mpfr_init(r22181);
        mpfr_init(r22182);
        mpfr_init(r22183);
        mpfr_init(r22184);
        mpfr_init(r22185);
        mpfr_init(r22186);
        mpfr_init(r22187);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r22179, MPFR_RNDN);
        ;
        mpfr_div(r22181, r22179, r22180, MPFR_RNDN);
        mpfr_set_d(r22182, a, MPFR_RNDN);
        mpfr_set_d(r22183, b, MPFR_RNDN);
        mpfr_add(r22184, r22182, r22183, MPFR_RNDN);
        mpfr_div(r22185, r22181, r22184, MPFR_RNDN);
        mpfr_mul(r22186, r22182, r22183, MPFR_RNDN);
        mpfr_div(r22187, r22185, r22186, MPFR_RNDN);
        return mpfr_get_d(r22187, MPFR_RNDN);
}

static mpfr_t r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22188);
        mpfr_init_set_str(r22189, "2", 10, MPFR_RNDN);
        mpfr_init(r22190);
        mpfr_init(r22191);
        mpfr_init(r22192);
        mpfr_init(r22193);
        mpfr_init(r22194);
        mpfr_init(r22195);
        mpfr_init(r22196);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r22188, MPFR_RNDN);
        ;
        mpfr_div(r22190, r22188, r22189, MPFR_RNDN);
        mpfr_set_d(r22191, a, MPFR_RNDN);
        mpfr_set_d(r22192, b, MPFR_RNDN);
        mpfr_add(r22193, r22191, r22192, MPFR_RNDN);
        mpfr_div(r22194, r22190, r22193, MPFR_RNDN);
        mpfr_mul(r22195, r22191, r22192, MPFR_RNDN);
        mpfr_div(r22196, r22194, r22195, MPFR_RNDN);
        return mpfr_get_d(r22196, MPFR_RNDN);
}