#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 r22854 = R;
        float r22855 = lambda1;
        float r22856 = lambda2;
        float r22857 = r22855 - r22856;
        float r22858 = phi1;
        float r22859 = phi2;
        float r22860 = r22858 + r22859;
        float r22861 = 2;
        float r22862 = r22860 / r22861;
        float r22863 = cos(r22862);
        float r22864 = r22857 * r22863;
        float r22865 = r22864 * r22864;
        float r22866 = r22858 - r22859;
        float r22867 = r22866 * r22866;
        float r22868 = r22865 + r22867;
        float r22869 = sqrt(r22868);
        float r22870 = r22854 * r22869;
        return r22870;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22871 = R;
        double r22872 = lambda1;
        double r22873 = lambda2;
        double r22874 = r22872 - r22873;
        double r22875 = phi1;
        double r22876 = phi2;
        double r22877 = r22875 + r22876;
        double r22878 = 2;
        double r22879 = r22877 / r22878;
        double r22880 = cos(r22879);
        double r22881 = r22874 * r22880;
        double r22882 = r22881 * r22881;
        double r22883 = r22875 - r22876;
        double r22884 = r22883 * r22883;
        double r22885 = r22882 + r22884;
        double r22886 = sqrt(r22885);
        double r22887 = r22871 * r22886;
        return r22887;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22888 = phi2;
        float r22889 = phi1;
        float r22890 = r22888 + r22889;
        float r22891 = 2;
        float r22892 = r22890 / r22891;
        float r22893 = cos(r22892);
        float r22894 = 3;
        float r22895 = pow(r22893, r22894);
        float r22896 = cbrt(r22895);
        float r22897 = expm1(r22896);
        float r22898 = log1p(r22897);
        float r22899 = lambda1;
        float r22900 = lambda2;
        float r22901 = r22899 - r22900;
        float r22902 = r22898 * r22901;
        float r22903 = r22889 - r22888;
        float r22904 = hypot(r22902, r22903);
        float r22905 = R;
        float r22906 = r22904 * r22905;
        return r22906;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22907 = phi2;
        double r22908 = phi1;
        double r22909 = r22907 + r22908;
        double r22910 = 2;
        double r22911 = r22909 / r22910;
        double r22912 = cos(r22911);
        double r22913 = 3;
        double r22914 = pow(r22912, r22913);
        double r22915 = cbrt(r22914);
        double r22916 = expm1(r22915);
        double r22917 = log1p(r22916);
        double r22918 = lambda1;
        double r22919 = lambda2;
        double r22920 = r22918 - r22919;
        double r22921 = r22917 * r22920;
        double r22922 = r22908 - r22907;
        double r22923 = hypot(r22921, r22922);
        double r22924 = R;
        double r22925 = r22923 * r22924;
        return r22925;
}

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 r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935, r22936, r22937, r22938, r22939, r22940, r22941, r22942;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22926);
        mpfr_init(r22927);
        mpfr_init(r22928);
        mpfr_init(r22929);
        mpfr_init(r22930);
        mpfr_init(r22931);
        mpfr_init(r22932);
        mpfr_init_set_str(r22933, "2", 10, MPFR_RNDN);
        mpfr_init(r22934);
        mpfr_init(r22935);
        mpfr_init(r22936);
        mpfr_init(r22937);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init(r22942);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22926, R, MPFR_RNDN);
        mpfr_set_d(r22927, lambda1, MPFR_RNDN);
        mpfr_set_d(r22928, lambda2, MPFR_RNDN);
        mpfr_sub(r22929, r22927, r22928, MPFR_RNDN);
        mpfr_set_d(r22930, phi1, MPFR_RNDN);
        mpfr_set_d(r22931, phi2, MPFR_RNDN);
        mpfr_add(r22932, r22930, r22931, MPFR_RNDN);
        ;
        mpfr_div(r22934, r22932, r22933, MPFR_RNDN);
        mpfr_cos(r22935, r22934, MPFR_RNDN);
        mpfr_mul(r22936, r22929, r22935, MPFR_RNDN);
        mpfr_mul(r22937, r22936, r22936, MPFR_RNDN);
        mpfr_sub(r22938, r22930, r22931, MPFR_RNDN);
        mpfr_mul(r22939, r22938, r22938, MPFR_RNDN);
        mpfr_add(r22940, r22937, r22939, MPFR_RNDN);
        mpfr_sqrt(r22941, r22940, MPFR_RNDN);
        mpfr_mul(r22942, r22926, r22941, MPFR_RNDN);
        return mpfr_get_d(r22942, MPFR_RNDN);
}

static mpfr_t r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955, r22956, r22957, r22958, r22959, r22960, r22961;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        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_set_str(r22949, "3", 10, MPFR_RNDN);
        mpfr_init(r22950);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init(r22954);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22943, phi2, MPFR_RNDN);
        mpfr_set_d(r22944, phi1, MPFR_RNDN);
        mpfr_add(r22945, r22943, r22944, MPFR_RNDN);
        ;
        mpfr_div(r22947, r22945, r22946, MPFR_RNDN);
        mpfr_cos(r22948, r22947, MPFR_RNDN);
        ;
        mpfr_pow(r22950, r22948, r22949, MPFR_RNDN);
        mpfr_cbrt(r22951, r22950, MPFR_RNDN);
        mpfr_expm1(r22952, r22951, MPFR_RNDN);
        mpfr_log1p(r22953, r22952, MPFR_RNDN);
        mpfr_set_d(r22954, lambda1, MPFR_RNDN);
        mpfr_set_d(r22955, lambda2, MPFR_RNDN);
        mpfr_sub(r22956, r22954, r22955, MPFR_RNDN);
        mpfr_mul(r22957, r22953, r22956, MPFR_RNDN);
        mpfr_sub(r22958, r22944, r22943, MPFR_RNDN);
        mpfr_hypot(r22959, r22957, r22958, MPFR_RNDN);
        mpfr_set_d(r22960, R, MPFR_RNDN);
        mpfr_mul(r22961, r22959, r22960, MPFR_RNDN);
        return mpfr_get_d(r22961, MPFR_RNDN);
}

static mpfr_t r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974, r22975, r22976, r22977, r22978, r22979, r22980;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22962);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init_set_str(r22965, "2", 10, MPFR_RNDN);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init_set_str(r22968, "3", 10, MPFR_RNDN);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init(r22980);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22962, phi2, MPFR_RNDN);
        mpfr_set_d(r22963, phi1, MPFR_RNDN);
        mpfr_add(r22964, r22962, r22963, MPFR_RNDN);
        ;
        mpfr_div(r22966, r22964, r22965, MPFR_RNDN);
        mpfr_cos(r22967, r22966, MPFR_RNDN);
        ;
        mpfr_pow(r22969, r22967, r22968, MPFR_RNDN);
        mpfr_cbrt(r22970, r22969, MPFR_RNDN);
        mpfr_expm1(r22971, r22970, MPFR_RNDN);
        mpfr_log1p(r22972, r22971, MPFR_RNDN);
        mpfr_set_d(r22973, lambda1, MPFR_RNDN);
        mpfr_set_d(r22974, lambda2, MPFR_RNDN);
        mpfr_sub(r22975, r22973, r22974, MPFR_RNDN);
        mpfr_mul(r22976, r22972, r22975, MPFR_RNDN);
        mpfr_sub(r22977, r22963, r22962, MPFR_RNDN);
        mpfr_hypot(r22978, r22976, r22977, MPFR_RNDN);
        mpfr_set_d(r22979, R, MPFR_RNDN);
        mpfr_mul(r22980, r22978, r22979, MPFR_RNDN);
        return mpfr_get_d(r22980, MPFR_RNDN);
}