#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 r8082 = atan2(1.0, 0.0);
        float r8083 = 2.0f;
        float r8084 = r8082 / r8083;
        float r8085 = 1.0f;
        float r8086 = b;
        float r8087 = r8086 * r8086;
        float r8088 = a;
        float r8089 = r8088 * r8088;
        float r8090 = r8087 - r8089;
        float r8091 = r8085 / r8090;
        float r8092 = r8084 * r8091;
        float r8093 = r8085 / r8088;
        float r8094 = r8085 / r8086;
        float r8095 = r8093 - r8094;
        float r8096 = r8092 * r8095;
        return r8096;
}

double f_id(double a, double b) {
        double r8097 = atan2(1.0, 0.0);
        double r8098 = 2.0;
        double r8099 = r8097 / r8098;
        double r8100 = 1.0;
        double r8101 = b;
        double r8102 = r8101 * r8101;
        double r8103 = a;
        double r8104 = r8103 * r8103;
        double r8105 = r8102 - r8104;
        double r8106 = r8100 / r8105;
        double r8107 = r8099 * r8106;
        double r8108 = r8100 / r8103;
        double r8109 = r8100 / r8101;
        double r8110 = r8108 - r8109;
        double r8111 = r8107 * r8110;
        return r8111;
}


double f_of(float a, float b) {
        float r8112 = atan2(1.0, 0.0);
        float r8113 = a;
        float r8114 = r8112 / r8113;
        float r8115 = b;
        float r8116 = r8112 / r8115;
        float r8117 = r8114 - r8116;
        float r8118 = r8115 - r8113;
        float r8119 = r8117 / r8118;
        float r8120 = 2.0f;
        float r8121 = r8113 + r8115;
        float r8122 = r8120 * r8121;
        float r8123 = r8119 / r8122;
        return r8123;
}

double f_od(double a, double b) {
        double r8124 = atan2(1.0, 0.0);
        double r8125 = a;
        double r8126 = r8124 / r8125;
        double r8127 = b;
        double r8128 = r8124 / r8127;
        double r8129 = r8126 - r8128;
        double r8130 = r8127 - r8125;
        double r8131 = r8129 / r8130;
        double r8132 = 2.0;
        double r8133 = r8125 + r8127;
        double r8134 = r8132 * r8133;
        double r8135 = r8131 / r8134;
        return r8135;
}

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 r8136, r8137, r8138, r8139, r8140, r8141, r8142, r8143, r8144, r8145, r8146, r8147, r8148, r8149, r8150;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r8136);
        mpfr_init_set_str(r8137, "2", 10, MPFR_RNDN);
        mpfr_init(r8138);
        mpfr_init_set_str(r8139, "1", 10, MPFR_RNDN);
        mpfr_init(r8140);
        mpfr_init(r8141);
        mpfr_init(r8142);
        mpfr_init(r8143);
        mpfr_init(r8144);
        mpfr_init(r8145);
        mpfr_init(r8146);
        mpfr_init(r8147);
        mpfr_init(r8148);
        mpfr_init(r8149);
        mpfr_init(r8150);
}

double f_im(double a, double b) {
        mpfr_const_pi(r8136, MPFR_RNDN);
        ;
        mpfr_div(r8138, r8136, r8137, MPFR_RNDN);
        ;
        mpfr_set_d(r8140, b, MPFR_RNDN);
        mpfr_mul(r8141, r8140, r8140, MPFR_RNDN);
        mpfr_set_d(r8142, a, MPFR_RNDN);
        mpfr_mul(r8143, r8142, r8142, MPFR_RNDN);
        mpfr_sub(r8144, r8141, r8143, MPFR_RNDN);
        mpfr_div(r8145, r8139, r8144, MPFR_RNDN);
        mpfr_mul(r8146, r8138, r8145, MPFR_RNDN);
        mpfr_div(r8147, r8139, r8142, MPFR_RNDN);
        mpfr_div(r8148, r8139, r8140, MPFR_RNDN);
        mpfr_sub(r8149, r8147, r8148, MPFR_RNDN);
        mpfr_mul(r8150, r8146, r8149, MPFR_RNDN);
        return mpfr_get_d(r8150, MPFR_RNDN);
}

static mpfr_t r8151, r8152, r8153, r8154, r8155, r8156, r8157, r8158, r8159, r8160, r8161, r8162;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r8151);
        mpfr_init(r8152);
        mpfr_init(r8153);
        mpfr_init(r8154);
        mpfr_init(r8155);
        mpfr_init(r8156);
        mpfr_init(r8157);
        mpfr_init(r8158);
        mpfr_init_set_str(r8159, "2", 10, MPFR_RNDN);
        mpfr_init(r8160);
        mpfr_init(r8161);
        mpfr_init(r8162);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r8151, MPFR_RNDN);
        mpfr_set_d(r8152, a, MPFR_RNDN);
        mpfr_div(r8153, r8151, r8152, MPFR_RNDN);
        mpfr_set_d(r8154, b, MPFR_RNDN);
        mpfr_div(r8155, r8151, r8154, MPFR_RNDN);
        mpfr_sub(r8156, r8153, r8155, MPFR_RNDN);
        mpfr_sub(r8157, r8154, r8152, MPFR_RNDN);
        mpfr_div(r8158, r8156, r8157, MPFR_RNDN);
        ;
        mpfr_add(r8160, r8152, r8154, MPFR_RNDN);
        mpfr_mul(r8161, r8159, r8160, MPFR_RNDN);
        mpfr_div(r8162, r8158, r8161, MPFR_RNDN);
        return mpfr_get_d(r8162, MPFR_RNDN);
}

static mpfr_t r8163, r8164, r8165, r8166, r8167, r8168, r8169, r8170, r8171, r8172, r8173, r8174;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r8163);
        mpfr_init(r8164);
        mpfr_init(r8165);
        mpfr_init(r8166);
        mpfr_init(r8167);
        mpfr_init(r8168);
        mpfr_init(r8169);
        mpfr_init(r8170);
        mpfr_init_set_str(r8171, "2", 10, MPFR_RNDN);
        mpfr_init(r8172);
        mpfr_init(r8173);
        mpfr_init(r8174);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r8163, MPFR_RNDN);
        mpfr_set_d(r8164, a, MPFR_RNDN);
        mpfr_div(r8165, r8163, r8164, MPFR_RNDN);
        mpfr_set_d(r8166, b, MPFR_RNDN);
        mpfr_div(r8167, r8163, r8166, MPFR_RNDN);
        mpfr_sub(r8168, r8165, r8167, MPFR_RNDN);
        mpfr_sub(r8169, r8166, r8164, MPFR_RNDN);
        mpfr_div(r8170, r8168, r8169, MPFR_RNDN);
        ;
        mpfr_add(r8172, r8164, r8166, MPFR_RNDN);
        mpfr_mul(r8173, r8171, r8172, MPFR_RNDN);
        mpfr_div(r8174, r8170, r8173, MPFR_RNDN);
        return mpfr_get_d(r8174, MPFR_RNDN);
}