#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 r15106 = atan2(1.0, 0.0);
        float r15107 = 2.0f;
        float r15108 = r15106 / r15107;
        float r15109 = 1.0f;
        float r15110 = b;
        float r15111 = r15110 * r15110;
        float r15112 = a;
        float r15113 = r15112 * r15112;
        float r15114 = r15111 - r15113;
        float r15115 = r15109 / r15114;
        float r15116 = r15108 * r15115;
        float r15117 = r15109 / r15112;
        float r15118 = r15109 / r15110;
        float r15119 = r15117 - r15118;
        float r15120 = r15116 * r15119;
        return r15120;
}

double f_id(double a, double b) {
        double r15121 = atan2(1.0, 0.0);
        double r15122 = 2.0;
        double r15123 = r15121 / r15122;
        double r15124 = 1.0;
        double r15125 = b;
        double r15126 = r15125 * r15125;
        double r15127 = a;
        double r15128 = r15127 * r15127;
        double r15129 = r15126 - r15128;
        double r15130 = r15124 / r15129;
        double r15131 = r15123 * r15130;
        double r15132 = r15124 / r15127;
        double r15133 = r15124 / r15125;
        double r15134 = r15132 - r15133;
        double r15135 = r15131 * r15134;
        return r15135;
}


double f_of(float a, float b) {
        float r15136 = 0.5f;
        float r15137 = b;
        float r15138 = a;
        float r15139 = r15137 + r15138;
        float r15140 = r15136 / r15139;
        float r15141 = atan2(1.0, 0.0);
        float r15142 = r15141 / r15138;
        float r15143 = r15142 / r15137;
        float r15144 = r15140 * r15143;
        return r15144;
}

double f_od(double a, double b) {
        double r15145 = 0.5;
        double r15146 = b;
        double r15147 = a;
        double r15148 = r15146 + r15147;
        double r15149 = r15145 / r15148;
        double r15150 = atan2(1.0, 0.0);
        double r15151 = r15150 / r15147;
        double r15152 = r15151 / r15146;
        double r15153 = r15149 * r15152;
        return r15153;
}

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 r15154, r15155, r15156, r15157, r15158, r15159, r15160, r15161, r15162, r15163, r15164, r15165, r15166, r15167, r15168;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15154);
        mpfr_init_set_str(r15155, "2", 10, MPFR_RNDN);
        mpfr_init(r15156);
        mpfr_init_set_str(r15157, "1", 10, MPFR_RNDN);
        mpfr_init(r15158);
        mpfr_init(r15159);
        mpfr_init(r15160);
        mpfr_init(r15161);
        mpfr_init(r15162);
        mpfr_init(r15163);
        mpfr_init(r15164);
        mpfr_init(r15165);
        mpfr_init(r15166);
        mpfr_init(r15167);
        mpfr_init(r15168);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15154, MPFR_RNDN);
        ;
        mpfr_div(r15156, r15154, r15155, MPFR_RNDN);
        ;
        mpfr_set_d(r15158, b, MPFR_RNDN);
        mpfr_sqr(r15159, r15158, MPFR_RNDN);
        mpfr_set_d(r15160, a, MPFR_RNDN);
        mpfr_sqr(r15161, r15160, MPFR_RNDN);
        mpfr_sub(r15162, r15159, r15161, MPFR_RNDN);
        mpfr_div(r15163, r15157, r15162, MPFR_RNDN);
        mpfr_mul(r15164, r15156, r15163, MPFR_RNDN);
        mpfr_div(r15165, r15157, r15160, MPFR_RNDN);
        mpfr_div(r15166, r15157, r15158, MPFR_RNDN);
        mpfr_sub(r15167, r15165, r15166, MPFR_RNDN);
        mpfr_mul(r15168, r15164, r15167, MPFR_RNDN);
        return mpfr_get_d(r15168, MPFR_RNDN);
}

static mpfr_t r15169, r15170, r15171, r15172, r15173, r15174, r15175, r15176, r15177;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15169, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15170);
        mpfr_init(r15171);
        mpfr_init(r15172);
        mpfr_init(r15173);
        mpfr_init(r15174);
        mpfr_init(r15175);
        mpfr_init(r15176);
        mpfr_init(r15177);
}

double f_fm(double a, double b) {
        ;
        mpfr_set_d(r15170, b, MPFR_RNDN);
        mpfr_set_d(r15171, a, MPFR_RNDN);
        mpfr_add(r15172, r15170, r15171, MPFR_RNDN);
        mpfr_div(r15173, r15169, r15172, MPFR_RNDN);
        mpfr_const_pi(r15174, MPFR_RNDN);
        mpfr_div(r15175, r15174, r15171, MPFR_RNDN);
        mpfr_div(r15176, r15175, r15170, MPFR_RNDN);
        mpfr_mul(r15177, r15173, r15176, MPFR_RNDN);
        return mpfr_get_d(r15177, MPFR_RNDN);
}

static mpfr_t r15178, r15179, r15180, r15181, r15182, r15183, r15184, r15185, r15186;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15178, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15179);
        mpfr_init(r15180);
        mpfr_init(r15181);
        mpfr_init(r15182);
        mpfr_init(r15183);
        mpfr_init(r15184);
        mpfr_init(r15185);
        mpfr_init(r15186);
}

double f_dm(double a, double b) {
        ;
        mpfr_set_d(r15179, b, MPFR_RNDN);
        mpfr_set_d(r15180, a, MPFR_RNDN);
        mpfr_add(r15181, r15179, r15180, MPFR_RNDN);
        mpfr_div(r15182, r15178, r15181, MPFR_RNDN);
        mpfr_const_pi(r15183, MPFR_RNDN);
        mpfr_div(r15184, r15183, r15180, MPFR_RNDN);
        mpfr_div(r15185, r15184, r15179, MPFR_RNDN);
        mpfr_mul(r15186, r15182, r15185, MPFR_RNDN);
        return mpfr_get_d(r15186, MPFR_RNDN);
}