#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 r15062 = atan2(1.0, 0.0);
        float r15063 = 2.0f;
        float r15064 = r15062 / r15063;
        float r15065 = 1.0f;
        float r15066 = b;
        float r15067 = r15066 * r15066;
        float r15068 = a;
        float r15069 = r15068 * r15068;
        float r15070 = r15067 - r15069;
        float r15071 = r15065 / r15070;
        float r15072 = r15064 * r15071;
        float r15073 = r15065 / r15068;
        float r15074 = r15065 / r15066;
        float r15075 = r15073 - r15074;
        float r15076 = r15072 * r15075;
        return r15076;
}

double f_id(double a, double b) {
        double r15077 = atan2(1.0, 0.0);
        double r15078 = 2.0;
        double r15079 = r15077 / r15078;
        double r15080 = 1.0;
        double r15081 = b;
        double r15082 = r15081 * r15081;
        double r15083 = a;
        double r15084 = r15083 * r15083;
        double r15085 = r15082 - r15084;
        double r15086 = r15080 / r15085;
        double r15087 = r15079 * r15086;
        double r15088 = r15080 / r15083;
        double r15089 = r15080 / r15081;
        double r15090 = r15088 - r15089;
        double r15091 = r15087 * r15090;
        return r15091;
}


double f_of(float a, float b) {
        float r15092 = atan2(1.0, 0.0);
        float r15093 = a;
        float r15094 = b;
        float r15095 = r15093 + r15094;
        float r15096 = r15092 / r15095;
        float r15097 = 2.0f;
        float r15098 = r15093 * r15094;
        float r15099 = r15097 * r15098;
        float r15100 = r15096 / r15099;
        return r15100;
}

double f_od(double a, double b) {
        double r15101 = atan2(1.0, 0.0);
        double r15102 = a;
        double r15103 = b;
        double r15104 = r15102 + r15103;
        double r15105 = r15101 / r15104;
        double r15106 = 2.0;
        double r15107 = r15102 * r15103;
        double r15108 = r15106 * r15107;
        double r15109 = r15105 / r15108;
        return r15109;
}

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 r15110, r15111, r15112, r15113, r15114, r15115, r15116, r15117, r15118, r15119, r15120, r15121, r15122, r15123, r15124;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15110);
        mpfr_init_set_str(r15111, "2", 10, MPFR_RNDN);
        mpfr_init(r15112);
        mpfr_init_set_str(r15113, "1", 10, MPFR_RNDN);
        mpfr_init(r15114);
        mpfr_init(r15115);
        mpfr_init(r15116);
        mpfr_init(r15117);
        mpfr_init(r15118);
        mpfr_init(r15119);
        mpfr_init(r15120);
        mpfr_init(r15121);
        mpfr_init(r15122);
        mpfr_init(r15123);
        mpfr_init(r15124);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15110, MPFR_RNDN);
        ;
        mpfr_div(r15112, r15110, r15111, MPFR_RNDN);
        ;
        mpfr_set_d(r15114, b, MPFR_RNDN);
        mpfr_sqr(r15115, r15114, MPFR_RNDN);
        mpfr_set_d(r15116, a, MPFR_RNDN);
        mpfr_sqr(r15117, r15116, MPFR_RNDN);
        mpfr_sub(r15118, r15115, r15117, MPFR_RNDN);
        mpfr_div(r15119, r15113, r15118, MPFR_RNDN);
        mpfr_mul(r15120, r15112, r15119, MPFR_RNDN);
        mpfr_div(r15121, r15113, r15116, MPFR_RNDN);
        mpfr_div(r15122, r15113, r15114, MPFR_RNDN);
        mpfr_sub(r15123, r15121, r15122, MPFR_RNDN);
        mpfr_mul(r15124, r15120, r15123, MPFR_RNDN);
        return mpfr_get_d(r15124, MPFR_RNDN);
}

static mpfr_t r15125, r15126, r15127, r15128, r15129, r15130, r15131, r15132, r15133;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15125);
        mpfr_init(r15126);
        mpfr_init(r15127);
        mpfr_init(r15128);
        mpfr_init(r15129);
        mpfr_init_set_str(r15130, "2", 10, MPFR_RNDN);
        mpfr_init(r15131);
        mpfr_init(r15132);
        mpfr_init(r15133);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15125, MPFR_RNDN);
        mpfr_set_d(r15126, a, MPFR_RNDN);
        mpfr_set_d(r15127, b, MPFR_RNDN);
        mpfr_add(r15128, r15126, r15127, MPFR_RNDN);
        mpfr_div(r15129, r15125, r15128, MPFR_RNDN);
        ;
        mpfr_mul(r15131, r15126, r15127, MPFR_RNDN);
        mpfr_mul(r15132, r15130, r15131, MPFR_RNDN);
        mpfr_div(r15133, r15129, r15132, MPFR_RNDN);
        return mpfr_get_d(r15133, MPFR_RNDN);
}

static mpfr_t r15134, r15135, r15136, r15137, r15138, r15139, r15140, r15141, r15142;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15134);
        mpfr_init(r15135);
        mpfr_init(r15136);
        mpfr_init(r15137);
        mpfr_init(r15138);
        mpfr_init_set_str(r15139, "2", 10, MPFR_RNDN);
        mpfr_init(r15140);
        mpfr_init(r15141);
        mpfr_init(r15142);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15134, MPFR_RNDN);
        mpfr_set_d(r15135, a, MPFR_RNDN);
        mpfr_set_d(r15136, b, MPFR_RNDN);
        mpfr_add(r15137, r15135, r15136, MPFR_RNDN);
        mpfr_div(r15138, r15134, r15137, MPFR_RNDN);
        ;
        mpfr_mul(r15140, r15135, r15136, MPFR_RNDN);
        mpfr_mul(r15141, r15139, r15140, MPFR_RNDN);
        mpfr_div(r15142, r15138, r15141, MPFR_RNDN);
        return mpfr_get_d(r15142, MPFR_RNDN);
}