#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 r16763 = b_2F2;
        float r16764 = -r16763;
        float r16765 = r16763 * r16763;
        float r16766 = a;
        float r16767 = c;
        float r16768 = r16766 * r16767;
        float r16769 = r16765 - r16768;
        float r16770 = sqrt(r16769);
        float r16771 = r16764 - r16770;
        float r16772 = r16771 / r16766;
        return r16772;
}

double f_id(double a, double b_2F2, double c) {
        double r16773 = b_2F2;
        double r16774 = -r16773;
        double r16775 = r16773 * r16773;
        double r16776 = a;
        double r16777 = c;
        double r16778 = r16776 * r16777;
        double r16779 = r16775 - r16778;
        double r16780 = sqrt(r16779);
        double r16781 = r16774 - r16780;
        double r16782 = r16781 / r16776;
        return r16782;
}


double f_of(float a, float b_2F2, float c) {
        float r16783 = b_2F2;
        float r16784 = -5.161999432096643e+18f;
        bool r16785 = r16783 <= r16784;
        float r16786 = c;
        float r16787 = 0.5f;
        float r16788 = r16787 * r16786;
        float r16789 = a;
        float r16790 = r16789 / r16783;
        float r16791 = r16788 * r16790;
        float r16792 = 2.0f;
        float r16793 = r16792 * r16783;
        float r16794 = r16791 - r16793;
        float r16795 = r16786 / r16794;
        float r16796 = -1.4884263778992505e-139f;
        bool r16797 = r16783 <= r16796;
        float r16798 = r16789 * r16786;
        float r16799 = -r16783;
        float r16800 = r16783 * r16783;
        float r16801 = r16800 - r16798;
        float r16802 = sqrt(r16801);
        float r16803 = r16799 + r16802;
        float r16804 = r16798 / r16803;
        float r16805 = r16804 / r16789;
        float r16806 = -3.31592532247251e-196f;
        bool r16807 = r16783 <= r16806;
        float r16808 = 2.4608343160951844e+34f;
        bool r16809 = r16783 <= r16808;
        float r16810 = r16799 - r16802;
        float r16811 = r16810 / r16789;
        float r16812 = -2.0f;
        float r16813 = r16783 / r16789;
        float r16814 = r16812 * r16813;
        float r16815 = r16809 ? r16811 : r16814;
        float r16816 = r16807 ? r16795 : r16815;
        float r16817 = r16797 ? r16805 : r16816;
        float r16818 = r16785 ? r16795 : r16817;
        return r16818;
}

double f_od(double a, double b_2F2, double c) {
        double r16819 = b_2F2;
        double r16820 = -5.161999432096643e+18;
        bool r16821 = r16819 <= r16820;
        double r16822 = c;
        double r16823 = 0.5;
        double r16824 = r16823 * r16822;
        double r16825 = a;
        double r16826 = r16825 / r16819;
        double r16827 = r16824 * r16826;
        double r16828 = 2.0;
        double r16829 = r16828 * r16819;
        double r16830 = r16827 - r16829;
        double r16831 = r16822 / r16830;
        double r16832 = -1.4884263778992505e-139;
        bool r16833 = r16819 <= r16832;
        double r16834 = r16825 * r16822;
        double r16835 = -r16819;
        double r16836 = r16819 * r16819;
        double r16837 = r16836 - r16834;
        double r16838 = sqrt(r16837);
        double r16839 = r16835 + r16838;
        double r16840 = r16834 / r16839;
        double r16841 = r16840 / r16825;
        double r16842 = -3.31592532247251e-196;
        bool r16843 = r16819 <= r16842;
        double r16844 = 2.4608343160951844e+34;
        bool r16845 = r16819 <= r16844;
        double r16846 = r16835 - r16838;
        double r16847 = r16846 / r16825;
        double r16848 = -2.0;
        double r16849 = r16819 / r16825;
        double r16850 = r16848 * r16849;
        double r16851 = r16845 ? r16847 : r16850;
        double r16852 = r16843 ? r16831 : r16851;
        double r16853 = r16833 ? r16841 : r16852;
        double r16854 = r16821 ? r16831 : r16853;
        return r16854;
}

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 r16855, r16856, r16857, r16858, r16859, r16860, r16861, r16862, r16863, r16864;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16855);
        mpfr_init(r16856);
        mpfr_init(r16857);
        mpfr_init(r16858);
        mpfr_init(r16859);
        mpfr_init(r16860);
        mpfr_init(r16861);
        mpfr_init(r16862);
        mpfr_init(r16863);
        mpfr_init(r16864);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16855, b_2F2, MPFR_RNDN);
        mpfr_neg(r16856, r16855, MPFR_RNDN);
        mpfr_sqr(r16857, r16855, MPFR_RNDN);
        mpfr_set_d(r16858, a, MPFR_RNDN);
        mpfr_set_d(r16859, c, MPFR_RNDN);
        mpfr_mul(r16860, r16858, r16859, MPFR_RNDN);
        mpfr_sub(r16861, r16857, r16860, MPFR_RNDN);
        mpfr_sqrt(r16862, r16861, MPFR_RNDN);
        mpfr_sub(r16863, r16856, r16862, MPFR_RNDN);
        mpfr_div(r16864, r16863, r16858, MPFR_RNDN);
        return mpfr_get_d(r16864, MPFR_RNDN);
}

static mpfr_t r16865, r16866, r16867, r16868, r16869, r16870, r16871, r16872, r16873, r16874, r16875, r16876, r16877, r16878, r16879, r16880, r16881, r16882, r16883, r16884, r16885, r16886, r16887, r16888, r16889, r16890, r16891, r16892, r16893, r16894, r16895, r16896, r16897, r16898, r16899, r16900;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16865);
        mpfr_init_set_str(r16866, "-5.161999432096643e+18", 10, MPFR_RNDN);
        mpfr_init(r16867);
        mpfr_init(r16868);
        mpfr_init_set_str(r16869, "1/2", 10, MPFR_RNDN);
        mpfr_init(r16870);
        mpfr_init(r16871);
        mpfr_init(r16872);
        mpfr_init(r16873);
        mpfr_init_set_str(r16874, "2", 10, MPFR_RNDN);
        mpfr_init(r16875);
        mpfr_init(r16876);
        mpfr_init(r16877);
        mpfr_init_set_str(r16878, "-1.4884263778992505e-139", 10, MPFR_RNDN);
        mpfr_init(r16879);
        mpfr_init(r16880);
        mpfr_init(r16881);
        mpfr_init(r16882);
        mpfr_init(r16883);
        mpfr_init(r16884);
        mpfr_init(r16885);
        mpfr_init(r16886);
        mpfr_init(r16887);
        mpfr_init_set_str(r16888, "-3.31592532247251e-196", 10, MPFR_RNDN);
        mpfr_init(r16889);
        mpfr_init_set_str(r16890, "2.4608343160951844e+34", 10, MPFR_RNDN);
        mpfr_init(r16891);
        mpfr_init(r16892);
        mpfr_init(r16893);
        mpfr_init_set_str(r16894, "-2", 10, MPFR_RNDN);
        mpfr_init(r16895);
        mpfr_init(r16896);
        mpfr_init(r16897);
        mpfr_init(r16898);
        mpfr_init(r16899);
        mpfr_init(r16900);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16865, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16867, mpfr_cmp(r16865, r16866) <= 0, MPFR_RNDN);
        mpfr_set_d(r16868, c, MPFR_RNDN);
        ;
        mpfr_mul(r16870, r16869, r16868, MPFR_RNDN);
        mpfr_set_d(r16871, a, MPFR_RNDN);
        mpfr_div(r16872, r16871, r16865, MPFR_RNDN);
        mpfr_mul(r16873, r16870, r16872, MPFR_RNDN);
        ;
        mpfr_mul(r16875, r16874, r16865, MPFR_RNDN);
        mpfr_sub(r16876, r16873, r16875, MPFR_RNDN);
        mpfr_div(r16877, r16868, r16876, MPFR_RNDN);
        ;
        mpfr_set_si(r16879, mpfr_cmp(r16865, r16878) <= 0, MPFR_RNDN);
        mpfr_mul(r16880, r16871, r16868, MPFR_RNDN);
        mpfr_neg(r16881, r16865, MPFR_RNDN);
        mpfr_sqr(r16882, r16865, MPFR_RNDN);
        mpfr_sub(r16883, r16882, r16880, MPFR_RNDN);
        mpfr_sqrt(r16884, r16883, MPFR_RNDN);
        mpfr_add(r16885, r16881, r16884, MPFR_RNDN);
        mpfr_div(r16886, r16880, r16885, MPFR_RNDN);
        mpfr_div(r16887, r16886, r16871, MPFR_RNDN);
        ;
        mpfr_set_si(r16889, mpfr_cmp(r16865, r16888) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r16891, mpfr_cmp(r16865, r16890) <= 0, MPFR_RNDN);
        mpfr_sub(r16892, r16881, r16884, MPFR_RNDN);
        mpfr_div(r16893, r16892, r16871, MPFR_RNDN);
        ;
        mpfr_div(r16895, r16865, r16871, MPFR_RNDN);
        mpfr_mul(r16896, r16894, r16895, MPFR_RNDN);
        if (mpfr_get_si(r16891, MPFR_RNDN)) { mpfr_set(r16897, r16893, MPFR_RNDN); } else { mpfr_set(r16897, r16896, MPFR_RNDN); };
        if (mpfr_get_si(r16889, MPFR_RNDN)) { mpfr_set(r16898, r16877, MPFR_RNDN); } else { mpfr_set(r16898, r16897, MPFR_RNDN); };
        if (mpfr_get_si(r16879, MPFR_RNDN)) { mpfr_set(r16899, r16887, MPFR_RNDN); } else { mpfr_set(r16899, r16898, MPFR_RNDN); };
        if (mpfr_get_si(r16867, MPFR_RNDN)) { mpfr_set(r16900, r16877, MPFR_RNDN); } else { mpfr_set(r16900, r16899, MPFR_RNDN); };
        return mpfr_get_d(r16900, MPFR_RNDN);
}

static mpfr_t r16901, r16902, r16903, r16904, r16905, r16906, r16907, r16908, r16909, r16910, r16911, r16912, r16913, r16914, r16915, r16916, r16917, r16918, r16919, r16920, r16921, r16922, r16923, r16924, r16925, r16926, r16927, r16928, r16929, r16930, r16931, r16932, r16933, r16934, r16935, r16936;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16901);
        mpfr_init_set_str(r16902, "-5.161999432096643e+18", 10, MPFR_RNDN);
        mpfr_init(r16903);
        mpfr_init(r16904);
        mpfr_init_set_str(r16905, "1/2", 10, MPFR_RNDN);
        mpfr_init(r16906);
        mpfr_init(r16907);
        mpfr_init(r16908);
        mpfr_init(r16909);
        mpfr_init_set_str(r16910, "2", 10, MPFR_RNDN);
        mpfr_init(r16911);
        mpfr_init(r16912);
        mpfr_init(r16913);
        mpfr_init_set_str(r16914, "-1.4884263778992505e-139", 10, MPFR_RNDN);
        mpfr_init(r16915);
        mpfr_init(r16916);
        mpfr_init(r16917);
        mpfr_init(r16918);
        mpfr_init(r16919);
        mpfr_init(r16920);
        mpfr_init(r16921);
        mpfr_init(r16922);
        mpfr_init(r16923);
        mpfr_init_set_str(r16924, "-3.31592532247251e-196", 10, MPFR_RNDN);
        mpfr_init(r16925);
        mpfr_init_set_str(r16926, "2.4608343160951844e+34", 10, MPFR_RNDN);
        mpfr_init(r16927);
        mpfr_init(r16928);
        mpfr_init(r16929);
        mpfr_init_set_str(r16930, "-2", 10, MPFR_RNDN);
        mpfr_init(r16931);
        mpfr_init(r16932);
        mpfr_init(r16933);
        mpfr_init(r16934);
        mpfr_init(r16935);
        mpfr_init(r16936);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16901, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16903, mpfr_cmp(r16901, r16902) <= 0, MPFR_RNDN);
        mpfr_set_d(r16904, c, MPFR_RNDN);
        ;
        mpfr_mul(r16906, r16905, r16904, MPFR_RNDN);
        mpfr_set_d(r16907, a, MPFR_RNDN);
        mpfr_div(r16908, r16907, r16901, MPFR_RNDN);
        mpfr_mul(r16909, r16906, r16908, MPFR_RNDN);
        ;
        mpfr_mul(r16911, r16910, r16901, MPFR_RNDN);
        mpfr_sub(r16912, r16909, r16911, MPFR_RNDN);
        mpfr_div(r16913, r16904, r16912, MPFR_RNDN);
        ;
        mpfr_set_si(r16915, mpfr_cmp(r16901, r16914) <= 0, MPFR_RNDN);
        mpfr_mul(r16916, r16907, r16904, MPFR_RNDN);
        mpfr_neg(r16917, r16901, MPFR_RNDN);
        mpfr_sqr(r16918, r16901, MPFR_RNDN);
        mpfr_sub(r16919, r16918, r16916, MPFR_RNDN);
        mpfr_sqrt(r16920, r16919, MPFR_RNDN);
        mpfr_add(r16921, r16917, r16920, MPFR_RNDN);
        mpfr_div(r16922, r16916, r16921, MPFR_RNDN);
        mpfr_div(r16923, r16922, r16907, MPFR_RNDN);
        ;
        mpfr_set_si(r16925, mpfr_cmp(r16901, r16924) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r16927, mpfr_cmp(r16901, r16926) <= 0, MPFR_RNDN);
        mpfr_sub(r16928, r16917, r16920, MPFR_RNDN);
        mpfr_div(r16929, r16928, r16907, MPFR_RNDN);
        ;
        mpfr_div(r16931, r16901, r16907, MPFR_RNDN);
        mpfr_mul(r16932, r16930, r16931, MPFR_RNDN);
        if (mpfr_get_si(r16927, MPFR_RNDN)) { mpfr_set(r16933, r16929, MPFR_RNDN); } else { mpfr_set(r16933, r16932, MPFR_RNDN); };
        if (mpfr_get_si(r16925, MPFR_RNDN)) { mpfr_set(r16934, r16913, MPFR_RNDN); } else { mpfr_set(r16934, r16933, MPFR_RNDN); };
        if (mpfr_get_si(r16915, MPFR_RNDN)) { mpfr_set(r16935, r16923, MPFR_RNDN); } else { mpfr_set(r16935, r16934, MPFR_RNDN); };
        if (mpfr_get_si(r16903, MPFR_RNDN)) { mpfr_set(r16936, r16913, MPFR_RNDN); } else { mpfr_set(r16936, r16935, MPFR_RNDN); };
        return mpfr_get_d(r16936, MPFR_RNDN);
}

