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

char *name = "Equirectangular approximation to distance on a great circle";

double f_if(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22867 = R;
        float r22868 = lambda1;
        float r22869 = lambda2;
        float r22870 = r22868 - r22869;
        float r22871 = phi1;
        float r22872 = phi2;
        float r22873 = r22871 + r22872;
        float r22874 = 2;
        float r22875 = r22873 / r22874;
        float r22876 = cos(r22875);
        float r22877 = r22870 * r22876;
        float r22878 = r22877 * r22877;
        float r22879 = r22871 - r22872;
        float r22880 = r22879 * r22879;
        float r22881 = r22878 + r22880;
        float r22882 = sqrt(r22881);
        float r22883 = r22867 * r22882;
        return r22883;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22884 = R;
        double r22885 = lambda1;
        double r22886 = lambda2;
        double r22887 = r22885 - r22886;
        double r22888 = phi1;
        double r22889 = phi2;
        double r22890 = r22888 + r22889;
        double r22891 = 2;
        double r22892 = r22890 / r22891;
        double r22893 = cos(r22892);
        double r22894 = r22887 * r22893;
        double r22895 = r22894 * r22894;
        double r22896 = r22888 - r22889;
        double r22897 = r22896 * r22896;
        double r22898 = r22895 + r22897;
        double r22899 = sqrt(r22898);
        double r22900 = r22884 * r22899;
        return r22900;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22901 = phi2;
        float r22902 = phi1;
        float r22903 = r22901 + r22902;
        float r22904 = 2;
        float r22905 = r22903 / r22904;
        float r22906 = cos(r22905);
        float r22907 = 3;
        float r22908 = pow(r22906, r22907);
        float r22909 = cbrt(r22908);
        float r22910 = expm1(r22909);
        float r22911 = log1p(r22910);
        float r22912 = lambda1;
        float r22913 = lambda2;
        float r22914 = r22912 - r22913;
        float r22915 = r22911 * r22914;
        float r22916 = r22902 - r22901;
        float r22917 = hypot(r22915, r22916);
        float r22918 = R;
        float r22919 = r22917 * r22918;
        return r22919;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22920 = phi2;
        double r22921 = phi1;
        double r22922 = r22920 + r22921;
        double r22923 = 2;
        double r22924 = r22922 / r22923;
        double r22925 = cos(r22924);
        double r22926 = 3;
        double r22927 = pow(r22925, r22926);
        double r22928 = cbrt(r22927);
        double r22929 = expm1(r22928);
        double r22930 = log1p(r22929);
        double r22931 = lambda1;
        double r22932 = lambda2;
        double r22933 = r22931 - r22932;
        double r22934 = r22930 * r22933;
        double r22935 = r22921 - r22920;
        double r22936 = hypot(r22934, r22935);
        double r22937 = R;
        double r22938 = r22936 * r22937;
        return r22938;
}

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 r22939, r22940, r22941, r22942, r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init(r22942);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init(r22945);
        mpfr_init_set_str(r22946, "2", 10, MPFR_RNDN);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init(r22950);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init(r22954);
        mpfr_init(r22955);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22939, R, MPFR_RNDN);
        mpfr_set_d(r22940, lambda1, MPFR_RNDN);
        mpfr_set_d(r22941, lambda2, MPFR_RNDN);
        mpfr_sub(r22942, r22940, r22941, MPFR_RNDN);
        mpfr_set_d(r22943, phi1, MPFR_RNDN);
        mpfr_set_d(r22944, phi2, MPFR_RNDN);
        mpfr_add(r22945, r22943, r22944, MPFR_RNDN);
        ;
        mpfr_div(r22947, r22945, r22946, MPFR_RNDN);
        mpfr_cos(r22948, r22947, MPFR_RNDN);
        mpfr_mul(r22949, r22942, r22948, MPFR_RNDN);
        mpfr_mul(r22950, r22949, r22949, MPFR_RNDN);
        mpfr_sub(r22951, r22943, r22944, MPFR_RNDN);
        mpfr_mul(r22952, r22951, r22951, MPFR_RNDN);
        mpfr_add(r22953, r22950, r22952, MPFR_RNDN);
        mpfr_sqrt(r22954, r22953, MPFR_RNDN);
        mpfr_mul(r22955, r22939, r22954, MPFR_RNDN);
        return mpfr_get_d(r22955, MPFR_RNDN);
}

static mpfr_t r22956, r22957, r22958, r22959, r22960, r22961, r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init_set_str(r22959, "2", 10, MPFR_RNDN);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init_set_str(r22962, "3", 10, MPFR_RNDN);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init(r22973);
        mpfr_init(r22974);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22956, phi2, MPFR_RNDN);
        mpfr_set_d(r22957, phi1, MPFR_RNDN);
        mpfr_add(r22958, r22956, r22957, MPFR_RNDN);
        ;
        mpfr_div(r22960, r22958, r22959, MPFR_RNDN);
        mpfr_cos(r22961, r22960, MPFR_RNDN);
        ;
        mpfr_pow(r22963, r22961, r22962, MPFR_RNDN);
        mpfr_cbrt(r22964, r22963, MPFR_RNDN);
        mpfr_expm1(r22965, r22964, MPFR_RNDN);
        mpfr_log1p(r22966, r22965, MPFR_RNDN);
        mpfr_set_d(r22967, lambda1, MPFR_RNDN);
        mpfr_set_d(r22968, lambda2, MPFR_RNDN);
        mpfr_sub(r22969, r22967, r22968, MPFR_RNDN);
        mpfr_mul(r22970, r22966, r22969, MPFR_RNDN);
        mpfr_sub(r22971, r22957, r22956, MPFR_RNDN);
        mpfr_hypot(r22972, r22970, r22971, MPFR_RNDN);
        mpfr_set_d(r22973, R, MPFR_RNDN);
        mpfr_mul(r22974, r22972, r22973, MPFR_RNDN);
        return mpfr_get_d(r22974, MPFR_RNDN);
}

static mpfr_t r22975, r22976, r22977, r22978, r22979, r22980, r22981, r22982, r22983, r22984, r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22975);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init_set_str(r22978, "2", 10, MPFR_RNDN);
        mpfr_init(r22979);
        mpfr_init(r22980);
        mpfr_init_set_str(r22981, "3", 10, MPFR_RNDN);
        mpfr_init(r22982);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init(r22993);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22975, phi2, MPFR_RNDN);
        mpfr_set_d(r22976, phi1, MPFR_RNDN);
        mpfr_add(r22977, r22975, r22976, MPFR_RNDN);
        ;
        mpfr_div(r22979, r22977, r22978, MPFR_RNDN);
        mpfr_cos(r22980, r22979, MPFR_RNDN);
        ;
        mpfr_pow(r22982, r22980, r22981, MPFR_RNDN);
        mpfr_cbrt(r22983, r22982, MPFR_RNDN);
        mpfr_expm1(r22984, r22983, MPFR_RNDN);
        mpfr_log1p(r22985, r22984, MPFR_RNDN);
        mpfr_set_d(r22986, lambda1, MPFR_RNDN);
        mpfr_set_d(r22987, lambda2, MPFR_RNDN);
        mpfr_sub(r22988, r22986, r22987, MPFR_RNDN);
        mpfr_mul(r22989, r22985, r22988, MPFR_RNDN);
        mpfr_sub(r22990, r22976, r22975, MPFR_RNDN);
        mpfr_hypot(r22991, r22989, r22990, MPFR_RNDN);
        mpfr_set_d(r22992, R, MPFR_RNDN);
        mpfr_mul(r22993, r22991, r22992, MPFR_RNDN);
        return mpfr_get_d(r22993, MPFR_RNDN);
}