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

char *name = "NMSE problem 3.2.1";

double f_if(float a, float b_2F2, float c) {
        float r15861 = b_2F2;
        float r15862 = -r15861;
        float r15863 = r15861 * r15861;
        float r15864 = a;
        float r15865 = c;
        float r15866 = r15864 * r15865;
        float r15867 = r15863 - r15866;
        float r15868 = sqrt(r15867);
        float r15869 = r15862 - r15868;
        float r15870 = r15869 / r15864;
        return r15870;
}

double f_id(double a, double b_2F2, double c) {
        double r15871 = b_2F2;
        double r15872 = -r15871;
        double r15873 = r15871 * r15871;
        double r15874 = a;
        double r15875 = c;
        double r15876 = r15874 * r15875;
        double r15877 = r15873 - r15876;
        double r15878 = sqrt(r15877);
        double r15879 = r15872 - r15878;
        double r15880 = r15879 / r15874;
        return r15880;
}


double f_of(float a, float b_2F2, float c) {
        float r15881 = a;
        float r15882 = 1.0f;
        float r15883 = r15881 / r15882;
        float r15884 = c;
        float r15885 = b_2F2;
        float r15886 = -r15885;
        float r15887 = r15885 * r15885;
        float r15888 = r15881 * r15884;
        float r15889 = r15887 - r15888;
        float r15890 = sqrt(r15889);
        float r15891 = r15886 + r15890;
        float r15892 = r15884 / r15891;
        float r15893 = r15883 * r15892;
        float r15894 = r15893 / r15881;
        return r15894;
}

double f_od(double a, double b_2F2, double c) {
        double r15895 = a;
        double r15896 = 1.0;
        double r15897 = r15895 / r15896;
        double r15898 = c;
        double r15899 = b_2F2;
        double r15900 = -r15899;
        double r15901 = r15899 * r15899;
        double r15902 = r15895 * r15898;
        double r15903 = r15901 - r15902;
        double r15904 = sqrt(r15903);
        double r15905 = r15900 + r15904;
        double r15906 = r15898 / r15905;
        double r15907 = r15897 * r15906;
        double r15908 = r15907 / r15895;
        return r15908;
}

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 r15909, r15910, r15911, r15912, r15913, r15914, r15915, r15916, r15917, r15918;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15909);
        mpfr_init(r15910);
        mpfr_init(r15911);
        mpfr_init(r15912);
        mpfr_init(r15913);
        mpfr_init(r15914);
        mpfr_init(r15915);
        mpfr_init(r15916);
        mpfr_init(r15917);
        mpfr_init(r15918);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r15909, b_2F2, MPFR_RNDN);
        mpfr_neg(r15910, r15909, MPFR_RNDN);
        mpfr_sqr(r15911, r15909, MPFR_RNDN);
        mpfr_set_d(r15912, a, MPFR_RNDN);
        mpfr_set_d(r15913, c, MPFR_RNDN);
        mpfr_mul(r15914, r15912, r15913, MPFR_RNDN);
        mpfr_sub(r15915, r15911, r15914, MPFR_RNDN);
        mpfr_sqrt(r15916, r15915, MPFR_RNDN);
        mpfr_sub(r15917, r15910, r15916, MPFR_RNDN);
        mpfr_div(r15918, r15917, r15912, MPFR_RNDN);
        return mpfr_get_d(r15918, MPFR_RNDN);
}

static mpfr_t r15919, r15920, r15921, r15922, r15923, r15924, r15925, r15926, r15927, r15928, r15929, r15930, r15931, r15932;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15919);
        mpfr_init_set_str(r15920, "1", 10, MPFR_RNDN);
        mpfr_init(r15921);
        mpfr_init(r15922);
        mpfr_init(r15923);
        mpfr_init(r15924);
        mpfr_init(r15925);
        mpfr_init(r15926);
        mpfr_init(r15927);
        mpfr_init(r15928);
        mpfr_init(r15929);
        mpfr_init(r15930);
        mpfr_init(r15931);
        mpfr_init(r15932);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r15919, a, MPFR_RNDN);
        ;
        mpfr_div(r15921, r15919, r15920, MPFR_RNDN);
        mpfr_set_d(r15922, c, MPFR_RNDN);
        mpfr_set_d(r15923, b_2F2, MPFR_RNDN);
        mpfr_neg(r15924, r15923, MPFR_RNDN);
        mpfr_sqr(r15925, r15923, MPFR_RNDN);
        mpfr_mul(r15926, r15919, r15922, MPFR_RNDN);
        mpfr_sub(r15927, r15925, r15926, MPFR_RNDN);
        mpfr_sqrt(r15928, r15927, MPFR_RNDN);
        mpfr_add(r15929, r15924, r15928, MPFR_RNDN);
        mpfr_div(r15930, r15922, r15929, MPFR_RNDN);
        mpfr_mul(r15931, r15921, r15930, MPFR_RNDN);
        mpfr_div(r15932, r15931, r15919, MPFR_RNDN);
        return mpfr_get_d(r15932, MPFR_RNDN);
}

static mpfr_t r15933, r15934, r15935, r15936, r15937, r15938, r15939, r15940, r15941, r15942, r15943, r15944, r15945, r15946;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15933);
        mpfr_init_set_str(r15934, "1", 10, MPFR_RNDN);
        mpfr_init(r15935);
        mpfr_init(r15936);
        mpfr_init(r15937);
        mpfr_init(r15938);
        mpfr_init(r15939);
        mpfr_init(r15940);
        mpfr_init(r15941);
        mpfr_init(r15942);
        mpfr_init(r15943);
        mpfr_init(r15944);
        mpfr_init(r15945);
        mpfr_init(r15946);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r15933, a, MPFR_RNDN);
        ;
        mpfr_div(r15935, r15933, r15934, MPFR_RNDN);
        mpfr_set_d(r15936, c, MPFR_RNDN);
        mpfr_set_d(r15937, b_2F2, MPFR_RNDN);
        mpfr_neg(r15938, r15937, MPFR_RNDN);
        mpfr_sqr(r15939, r15937, MPFR_RNDN);
        mpfr_mul(r15940, r15933, r15936, MPFR_RNDN);
        mpfr_sub(r15941, r15939, r15940, MPFR_RNDN);
        mpfr_sqrt(r15942, r15941, MPFR_RNDN);
        mpfr_add(r15943, r15938, r15942, MPFR_RNDN);
        mpfr_div(r15944, r15936, r15943, MPFR_RNDN);
        mpfr_mul(r15945, r15935, r15944, MPFR_RNDN);
        mpfr_div(r15946, r15945, r15933, MPFR_RNDN);
        return mpfr_get_d(r15946, MPFR_RNDN);
}