#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 r15110 = atan2(1.0, 0.0);
        float r15111 = 2.0f;
        float r15112 = r15110 / r15111;
        float r15113 = 1.0f;
        float r15114 = b;
        float r15115 = r15114 * r15114;
        float r15116 = a;
        float r15117 = r15116 * r15116;
        float r15118 = r15115 - r15117;
        float r15119 = r15113 / r15118;
        float r15120 = r15112 * r15119;
        float r15121 = r15113 / r15116;
        float r15122 = r15113 / r15114;
        float r15123 = r15121 - r15122;
        float r15124 = r15120 * r15123;
        return r15124;
}

double f_id(double a, double b) {
        double r15125 = atan2(1.0, 0.0);
        double r15126 = 2.0;
        double r15127 = r15125 / r15126;
        double r15128 = 1.0;
        double r15129 = b;
        double r15130 = r15129 * r15129;
        double r15131 = a;
        double r15132 = r15131 * r15131;
        double r15133 = r15130 - r15132;
        double r15134 = r15128 / r15133;
        double r15135 = r15127 * r15134;
        double r15136 = r15128 / r15131;
        double r15137 = r15128 / r15129;
        double r15138 = r15136 - r15137;
        double r15139 = r15135 * r15138;
        return r15139;
}


double f_of(float a, float b) {
        float r15140 = atan2(1.0, 0.0);
        float r15141 = a;
        float r15142 = r15140 / r15141;
        float r15143 = b;
        float r15144 = 2.0f;
        float r15145 = r15143 * r15144;
        float r15146 = r15142 / r15145;
        float r15147 = r15141 + r15143;
        float r15148 = r15146 / r15147;
        return r15148;
}

double f_od(double a, double b) {
        double r15149 = atan2(1.0, 0.0);
        double r15150 = a;
        double r15151 = r15149 / r15150;
        double r15152 = b;
        double r15153 = 2.0;
        double r15154 = r15152 * r15153;
        double r15155 = r15151 / r15154;
        double r15156 = r15150 + r15152;
        double r15157 = r15155 / r15156;
        return r15157;
}

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 r15158, r15159, r15160, r15161, r15162, r15163, r15164, r15165, r15166, r15167, r15168, r15169, r15170, r15171, r15172;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15158);
        mpfr_init_set_str(r15159, "2", 10, MPFR_RNDN);
        mpfr_init(r15160);
        mpfr_init_set_str(r15161, "1", 10, MPFR_RNDN);
        mpfr_init(r15162);
        mpfr_init(r15163);
        mpfr_init(r15164);
        mpfr_init(r15165);
        mpfr_init(r15166);
        mpfr_init(r15167);
        mpfr_init(r15168);
        mpfr_init(r15169);
        mpfr_init(r15170);
        mpfr_init(r15171);
        mpfr_init(r15172);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15158, MPFR_RNDN);
        ;
        mpfr_div(r15160, r15158, r15159, MPFR_RNDN);
        ;
        mpfr_set_d(r15162, b, MPFR_RNDN);
        mpfr_sqr(r15163, r15162, MPFR_RNDN);
        mpfr_set_d(r15164, a, MPFR_RNDN);
        mpfr_sqr(r15165, r15164, MPFR_RNDN);
        mpfr_sub(r15166, r15163, r15165, MPFR_RNDN);
        mpfr_div(r15167, r15161, r15166, MPFR_RNDN);
        mpfr_mul(r15168, r15160, r15167, MPFR_RNDN);
        mpfr_div(r15169, r15161, r15164, MPFR_RNDN);
        mpfr_div(r15170, r15161, r15162, MPFR_RNDN);
        mpfr_sub(r15171, r15169, r15170, MPFR_RNDN);
        mpfr_mul(r15172, r15168, r15171, MPFR_RNDN);
        return mpfr_get_d(r15172, MPFR_RNDN);
}

static mpfr_t r15173, r15174, r15175, r15176, r15177, r15178, r15179, r15180, r15181;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15173);
        mpfr_init(r15174);
        mpfr_init(r15175);
        mpfr_init(r15176);
        mpfr_init_set_str(r15177, "2", 10, MPFR_RNDN);
        mpfr_init(r15178);
        mpfr_init(r15179);
        mpfr_init(r15180);
        mpfr_init(r15181);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15173, MPFR_RNDN);
        mpfr_set_d(r15174, a, MPFR_RNDN);
        mpfr_div(r15175, r15173, r15174, MPFR_RNDN);
        mpfr_set_d(r15176, b, MPFR_RNDN);
        ;
        mpfr_mul(r15178, r15176, r15177, MPFR_RNDN);
        mpfr_div(r15179, r15175, r15178, MPFR_RNDN);
        mpfr_add(r15180, r15174, r15176, MPFR_RNDN);
        mpfr_div(r15181, r15179, r15180, MPFR_RNDN);
        return mpfr_get_d(r15181, MPFR_RNDN);
}

static mpfr_t r15182, r15183, r15184, r15185, r15186, r15187, r15188, r15189, r15190;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15182);
        mpfr_init(r15183);
        mpfr_init(r15184);
        mpfr_init(r15185);
        mpfr_init_set_str(r15186, "2", 10, MPFR_RNDN);
        mpfr_init(r15187);
        mpfr_init(r15188);
        mpfr_init(r15189);
        mpfr_init(r15190);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15182, MPFR_RNDN);
        mpfr_set_d(r15183, a, MPFR_RNDN);
        mpfr_div(r15184, r15182, r15183, MPFR_RNDN);
        mpfr_set_d(r15185, b, MPFR_RNDN);
        ;
        mpfr_mul(r15187, r15185, r15186, MPFR_RNDN);
        mpfr_div(r15188, r15184, r15187, MPFR_RNDN);
        mpfr_add(r15189, r15183, r15185, MPFR_RNDN);
        mpfr_div(r15190, r15188, r15189, MPFR_RNDN);
        return mpfr_get_d(r15190, MPFR_RNDN);
}