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

char *name = "Henrywood and Agarwal, Equation (9a)";

double f_if(float w0, float M, float D, float h, float l, float d) {
        float r23790 = w0;
        float r23791 = 1;
        float r23792 = M;
        float r23793 = D;
        float r23794 = r23792 * r23793;
        float r23795 = 2;
        float r23796 = d;
        float r23797 = r23795 * r23796;
        float r23798 = r23794 / r23797;
        float r23799 = pow(r23798, r23795);
        float r23800 = h;
        float r23801 = l;
        float r23802 = r23800 / r23801;
        float r23803 = r23799 * r23802;
        float r23804 = r23791 - r23803;
        float r23805 = sqrt(r23804);
        float r23806 = r23790 * r23805;
        return r23806;
}

double f_id(double w0, double M, double D, double h, double l, double d) {
        double r23807 = w0;
        double r23808 = 1;
        double r23809 = M;
        double r23810 = D;
        double r23811 = r23809 * r23810;
        double r23812 = 2;
        double r23813 = d;
        double r23814 = r23812 * r23813;
        double r23815 = r23811 / r23814;
        double r23816 = pow(r23815, r23812);
        double r23817 = h;
        double r23818 = l;
        double r23819 = r23817 / r23818;
        double r23820 = r23816 * r23819;
        double r23821 = r23808 - r23820;
        double r23822 = sqrt(r23821);
        double r23823 = r23807 * r23822;
        return r23823;
}


double f_of(float w0, float M, float D, float h, float l, float d) {
        float r23824 = 1;
        float r23825 = M;
        float r23826 = d;
        float r23827 = r23825 / r23826;
        float r23828 = h;
        float r23829 = D;
        float r23830 = r23828 * r23829;
        float r23831 = 1/2;
        float r23832 = r23830 * r23831;
        float r23833 = r23827 * r23832;
        float r23834 = 2;
        float r23835 = r23829 / r23834;
        float r23836 = r23835 * r23827;
        float r23837 = l;
        float r23838 = r23836 / r23837;
        float r23839 = r23833 * r23838;
        float r23840 = r23824 - r23839;
        float r23841 = sqrt(r23840);
        float r23842 = 5.470659647461577e+76;
        bool r23843 = r23841 <= r23842;
        float r23844 = w0;
        float r23845 = r23841 * r23844;
        float r23846 = +inf.0;
        bool r23847 = r23841 <= r23846;
        float r23848 = r23825 * r23829;
        float r23849 = r23834 * r23826;
        float r23850 = r23848 / r23849;
        float r23851 = r23828 / r23837;
        float r23852 = r23850 * r23851;
        float r23853 = r23850 * r23852;
        float r23854 = r23824 - r23853;
        float r23855 = sqrt(r23854);
        float r23856 = r23844 * r23855;
        float r23857 = r23850 * r23828;
        float r23858 = r23850 * r23857;
        float r23859 = r23824 / r23837;
        float r23860 = cbrt(r23859);
        float r23861 = r23860 * r23860;
        float r23862 = r23858 * r23861;
        float r23863 = r23862 * r23860;
        float r23864 = r23824 - r23863;
        float r23865 = sqrt(r23864);
        float r23866 = r23844 * r23865;
        float r23867 = r23847 ? r23856 : r23866;
        float r23868 = r23843 ? r23845 : r23867;
        return r23868;
}

double f_od(double w0, double M, double D, double h, double l, double d) {
        double r23869 = 1;
        double r23870 = M;
        double r23871 = d;
        double r23872 = r23870 / r23871;
        double r23873 = h;
        double r23874 = D;
        double r23875 = r23873 * r23874;
        double r23876 = 1/2;
        double r23877 = r23875 * r23876;
        double r23878 = r23872 * r23877;
        double r23879 = 2;
        double r23880 = r23874 / r23879;
        double r23881 = r23880 * r23872;
        double r23882 = l;
        double r23883 = r23881 / r23882;
        double r23884 = r23878 * r23883;
        double r23885 = r23869 - r23884;
        double r23886 = sqrt(r23885);
        double r23887 = 5.470659647461577e+76;
        bool r23888 = r23886 <= r23887;
        double r23889 = w0;
        double r23890 = r23886 * r23889;
        double r23891 = +inf.0;
        bool r23892 = r23886 <= r23891;
        double r23893 = r23870 * r23874;
        double r23894 = r23879 * r23871;
        double r23895 = r23893 / r23894;
        double r23896 = r23873 / r23882;
        double r23897 = r23895 * r23896;
        double r23898 = r23895 * r23897;
        double r23899 = r23869 - r23898;
        double r23900 = sqrt(r23899);
        double r23901 = r23889 * r23900;
        double r23902 = r23895 * r23873;
        double r23903 = r23895 * r23902;
        double r23904 = r23869 / r23882;
        double r23905 = cbrt(r23904);
        double r23906 = r23905 * r23905;
        double r23907 = r23903 * r23906;
        double r23908 = r23907 * r23905;
        double r23909 = r23869 - r23908;
        double r23910 = sqrt(r23909);
        double r23911 = r23889 * r23910;
        double r23912 = r23892 ? r23901 : r23911;
        double r23913 = r23888 ? r23890 : r23912;
        return r23913;
}

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 r23914, r23915, r23916, r23917, r23918, r23919, r23920, r23921, r23922, r23923, r23924, r23925, r23926, r23927, r23928, r23929, r23930;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23914);
        mpfr_init_set_str(r23915, "1", 10, MPFR_RNDN);
        mpfr_init(r23916);
        mpfr_init(r23917);
        mpfr_init(r23918);
        mpfr_init_set_str(r23919, "2", 10, MPFR_RNDN);
        mpfr_init(r23920);
        mpfr_init(r23921);
        mpfr_init(r23922);
        mpfr_init(r23923);
        mpfr_init(r23924);
        mpfr_init(r23925);
        mpfr_init(r23926);
        mpfr_init(r23927);
        mpfr_init(r23928);
        mpfr_init(r23929);
        mpfr_init(r23930);
}

double f_im(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r23914, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r23916, M, MPFR_RNDN);
        mpfr_set_d(r23917, D, MPFR_RNDN);
        mpfr_mul(r23918, r23916, r23917, MPFR_RNDN);
        ;
        mpfr_set_d(r23920, d, MPFR_RNDN);
        mpfr_mul(r23921, r23919, r23920, MPFR_RNDN);
        mpfr_div(r23922, r23918, r23921, MPFR_RNDN);
        mpfr_pow(r23923, r23922, r23919, MPFR_RNDN);
        mpfr_set_d(r23924, h, MPFR_RNDN);
        mpfr_set_d(r23925, l, MPFR_RNDN);
        mpfr_div(r23926, r23924, r23925, MPFR_RNDN);
        mpfr_mul(r23927, r23923, r23926, MPFR_RNDN);
        mpfr_sub(r23928, r23915, r23927, MPFR_RNDN);
        mpfr_sqrt(r23929, r23928, MPFR_RNDN);
        mpfr_mul(r23930, r23914, r23929, MPFR_RNDN);
        return mpfr_get_d(r23930, MPFR_RNDN);
}

static mpfr_t r23931, r23932, r23933, r23934, r23935, r23936, r23937, r23938, r23939, r23940, r23941, r23942, r23943, r23944, r23945, r23946, r23947, r23948, r23949, r23950, r23951, r23952, r23953, r23954, r23955, r23956, r23957, r23958, r23959, r23960, r23961, r23962, r23963, r23964, r23965, r23966, r23967, r23968, r23969, r23970, r23971, r23972, r23973, r23974, r23975;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23931, "1", 10, MPFR_RNDN);
        mpfr_init(r23932);
        mpfr_init(r23933);
        mpfr_init(r23934);
        mpfr_init(r23935);
        mpfr_init(r23936);
        mpfr_init(r23937);
        mpfr_init_set_str(r23938, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23939);
        mpfr_init(r23940);
        mpfr_init_set_str(r23941, "2", 10, MPFR_RNDN);
        mpfr_init(r23942);
        mpfr_init(r23943);
        mpfr_init(r23944);
        mpfr_init(r23945);
        mpfr_init(r23946);
        mpfr_init(r23947);
        mpfr_init(r23948);
        mpfr_init_set_str(r23949, "5.470659647461577e+76", 10, MPFR_RNDN);
        mpfr_init(r23950);
        mpfr_init(r23951);
        mpfr_init(r23952);
        mpfr_init_set_str(r23953, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r23954);
        mpfr_init(r23955);
        mpfr_init(r23956);
        mpfr_init(r23957);
        mpfr_init(r23958);
        mpfr_init(r23959);
        mpfr_init(r23960);
        mpfr_init(r23961);
        mpfr_init(r23962);
        mpfr_init(r23963);
        mpfr_init(r23964);
        mpfr_init(r23965);
        mpfr_init(r23966);
        mpfr_init(r23967);
        mpfr_init(r23968);
        mpfr_init(r23969);
        mpfr_init(r23970);
        mpfr_init(r23971);
        mpfr_init(r23972);
        mpfr_init(r23973);
        mpfr_init(r23974);
        mpfr_init(r23975);
}

double f_fm(double w0, double M, double D, double h, double l, double d) {
        ;
        mpfr_set_d(r23932, M, MPFR_RNDN);
        mpfr_set_d(r23933, d, MPFR_RNDN);
        mpfr_div(r23934, r23932, r23933, MPFR_RNDN);
        mpfr_set_d(r23935, h, MPFR_RNDN);
        mpfr_set_d(r23936, D, MPFR_RNDN);
        mpfr_mul(r23937, r23935, r23936, MPFR_RNDN);
        ;
        mpfr_mul(r23939, r23937, r23938, MPFR_RNDN);
        mpfr_mul(r23940, r23934, r23939, MPFR_RNDN);
        ;
        mpfr_div(r23942, r23936, r23941, MPFR_RNDN);
        mpfr_mul(r23943, r23942, r23934, MPFR_RNDN);
        mpfr_set_d(r23944, l, MPFR_RNDN);
        mpfr_div(r23945, r23943, r23944, MPFR_RNDN);
        mpfr_mul(r23946, r23940, r23945, MPFR_RNDN);
        mpfr_sub(r23947, r23931, r23946, MPFR_RNDN);
        mpfr_sqrt(r23948, r23947, MPFR_RNDN);
        ;
        mpfr_set_si(r23950, mpfr_cmp(r23948, r23949) <= 0, MPFR_RNDN);
        mpfr_set_d(r23951, w0, MPFR_RNDN);
        mpfr_mul(r23952, r23948, r23951, MPFR_RNDN);
        ;
        mpfr_set_si(r23954, mpfr_cmp(r23948, r23953) <= 0, MPFR_RNDN);
        mpfr_mul(r23955, r23932, r23936, MPFR_RNDN);
        mpfr_mul(r23956, r23941, r23933, MPFR_RNDN);
        mpfr_div(r23957, r23955, r23956, MPFR_RNDN);
        mpfr_div(r23958, r23935, r23944, MPFR_RNDN);
        mpfr_mul(r23959, r23957, r23958, MPFR_RNDN);
        mpfr_mul(r23960, r23957, r23959, MPFR_RNDN);
        mpfr_sub(r23961, r23931, r23960, MPFR_RNDN);
        mpfr_sqrt(r23962, r23961, MPFR_RNDN);
        mpfr_mul(r23963, r23951, r23962, MPFR_RNDN);
        mpfr_mul(r23964, r23957, r23935, MPFR_RNDN);
        mpfr_mul(r23965, r23957, r23964, MPFR_RNDN);
        mpfr_div(r23966, r23931, r23944, MPFR_RNDN);
        mpfr_cbrt(r23967, r23966, MPFR_RNDN);
        mpfr_mul(r23968, r23967, r23967, MPFR_RNDN);
        mpfr_mul(r23969, r23965, r23968, MPFR_RNDN);
        mpfr_mul(r23970, r23969, r23967, MPFR_RNDN);
        mpfr_sub(r23971, r23931, r23970, MPFR_RNDN);
        mpfr_sqrt(r23972, r23971, MPFR_RNDN);
        mpfr_mul(r23973, r23951, r23972, MPFR_RNDN);
        if (mpfr_get_si(r23954, MPFR_RNDN)) { mpfr_set(r23974, r23963, MPFR_RNDN); } else { mpfr_set(r23974, r23973, MPFR_RNDN); };
        if (mpfr_get_si(r23950, MPFR_RNDN)) { mpfr_set(r23975, r23952, MPFR_RNDN); } else { mpfr_set(r23975, r23974, MPFR_RNDN); };
        return mpfr_get_d(r23975, MPFR_RNDN);
}

static mpfr_t r23976, r23977, r23978, r23979, r23980, r23981, r23982, r23983, r23984, r23985, r23986, r23987, r23988, r23989, r23990, r23991, r23992, r23993, r23994, r23995, r23996, r23997, r23998, r23999, r24000, r24001, r24002, r24003, r24004, r24005, r24006, r24007, r24008, r24009, r24010, r24011, r24012, r24013, r24014, r24015, r24016, r24017, r24018, r24019, r24020;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23976, "1", 10, MPFR_RNDN);
        mpfr_init(r23977);
        mpfr_init(r23978);
        mpfr_init(r23979);
        mpfr_init(r23980);
        mpfr_init(r23981);
        mpfr_init(r23982);
        mpfr_init_set_str(r23983, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23984);
        mpfr_init(r23985);
        mpfr_init_set_str(r23986, "2", 10, MPFR_RNDN);
        mpfr_init(r23987);
        mpfr_init(r23988);
        mpfr_init(r23989);
        mpfr_init(r23990);
        mpfr_init(r23991);
        mpfr_init(r23992);
        mpfr_init(r23993);
        mpfr_init_set_str(r23994, "5.470659647461577e+76", 10, MPFR_RNDN);
        mpfr_init(r23995);
        mpfr_init(r23996);
        mpfr_init(r23997);
        mpfr_init_set_str(r23998, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r23999);
        mpfr_init(r24000);
        mpfr_init(r24001);
        mpfr_init(r24002);
        mpfr_init(r24003);
        mpfr_init(r24004);
        mpfr_init(r24005);
        mpfr_init(r24006);
        mpfr_init(r24007);
        mpfr_init(r24008);
        mpfr_init(r24009);
        mpfr_init(r24010);
        mpfr_init(r24011);
        mpfr_init(r24012);
        mpfr_init(r24013);
        mpfr_init(r24014);
        mpfr_init(r24015);
        mpfr_init(r24016);
        mpfr_init(r24017);
        mpfr_init(r24018);
        mpfr_init(r24019);
        mpfr_init(r24020);
}

double f_dm(double w0, double M, double D, double h, double l, double d) {
        ;
        mpfr_set_d(r23977, M, MPFR_RNDN);
        mpfr_set_d(r23978, d, MPFR_RNDN);
        mpfr_div(r23979, r23977, r23978, MPFR_RNDN);
        mpfr_set_d(r23980, h, MPFR_RNDN);
        mpfr_set_d(r23981, D, MPFR_RNDN);
        mpfr_mul(r23982, r23980, r23981, MPFR_RNDN);
        ;
        mpfr_mul(r23984, r23982, r23983, MPFR_RNDN);
        mpfr_mul(r23985, r23979, r23984, MPFR_RNDN);
        ;
        mpfr_div(r23987, r23981, r23986, MPFR_RNDN);
        mpfr_mul(r23988, r23987, r23979, MPFR_RNDN);
        mpfr_set_d(r23989, l, MPFR_RNDN);
        mpfr_div(r23990, r23988, r23989, MPFR_RNDN);
        mpfr_mul(r23991, r23985, r23990, MPFR_RNDN);
        mpfr_sub(r23992, r23976, r23991, MPFR_RNDN);
        mpfr_sqrt(r23993, r23992, MPFR_RNDN);
        ;
        mpfr_set_si(r23995, mpfr_cmp(r23993, r23994) <= 0, MPFR_RNDN);
        mpfr_set_d(r23996, w0, MPFR_RNDN);
        mpfr_mul(r23997, r23993, r23996, MPFR_RNDN);
        ;
        mpfr_set_si(r23999, mpfr_cmp(r23993, r23998) <= 0, MPFR_RNDN);
        mpfr_mul(r24000, r23977, r23981, MPFR_RNDN);
        mpfr_mul(r24001, r23986, r23978, MPFR_RNDN);
        mpfr_div(r24002, r24000, r24001, MPFR_RNDN);
        mpfr_div(r24003, r23980, r23989, MPFR_RNDN);
        mpfr_mul(r24004, r24002, r24003, MPFR_RNDN);
        mpfr_mul(r24005, r24002, r24004, MPFR_RNDN);
        mpfr_sub(r24006, r23976, r24005, MPFR_RNDN);
        mpfr_sqrt(r24007, r24006, MPFR_RNDN);
        mpfr_mul(r24008, r23996, r24007, MPFR_RNDN);
        mpfr_mul(r24009, r24002, r23980, MPFR_RNDN);
        mpfr_mul(r24010, r24002, r24009, MPFR_RNDN);
        mpfr_div(r24011, r23976, r23989, MPFR_RNDN);
        mpfr_cbrt(r24012, r24011, MPFR_RNDN);
        mpfr_mul(r24013, r24012, r24012, MPFR_RNDN);
        mpfr_mul(r24014, r24010, r24013, MPFR_RNDN);
        mpfr_mul(r24015, r24014, r24012, MPFR_RNDN);
        mpfr_sub(r24016, r23976, r24015, MPFR_RNDN);
        mpfr_sqrt(r24017, r24016, MPFR_RNDN);
        mpfr_mul(r24018, r23996, r24017, MPFR_RNDN);
        if (mpfr_get_si(r23999, MPFR_RNDN)) { mpfr_set(r24019, r24008, MPFR_RNDN); } else { mpfr_set(r24019, r24018, MPFR_RNDN); };
        if (mpfr_get_si(r23995, MPFR_RNDN)) { mpfr_set(r24020, r23997, MPFR_RNDN); } else { mpfr_set(r24020, r24019, MPFR_RNDN); };
        return mpfr_get_d(r24020, MPFR_RNDN);
}