#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 r22794 = R;
        float r22795 = lambda1;
        float r22796 = lambda2;
        float r22797 = r22795 - r22796;
        float r22798 = phi1;
        float r22799 = phi2;
        float r22800 = r22798 + r22799;
        float r22801 = 2;
        float r22802 = r22800 / r22801;
        float r22803 = cos(r22802);
        float r22804 = r22797 * r22803;
        float r22805 = r22804 * r22804;
        float r22806 = r22798 - r22799;
        float r22807 = r22806 * r22806;
        float r22808 = r22805 + r22807;
        float r22809 = sqrt(r22808);
        float r22810 = r22794 * r22809;
        return r22810;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22811 = R;
        double r22812 = lambda1;
        double r22813 = lambda2;
        double r22814 = r22812 - r22813;
        double r22815 = phi1;
        double r22816 = phi2;
        double r22817 = r22815 + r22816;
        double r22818 = 2;
        double r22819 = r22817 / r22818;
        double r22820 = cos(r22819);
        double r22821 = r22814 * r22820;
        double r22822 = r22821 * r22821;
        double r22823 = r22815 - r22816;
        double r22824 = r22823 * r22823;
        double r22825 = r22822 + r22824;
        double r22826 = sqrt(r22825);
        double r22827 = r22811 * r22826;
        return r22827;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22828 = phi2;
        float r22829 = phi1;
        float r22830 = r22828 + r22829;
        float r22831 = 2;
        float r22832 = r22830 / r22831;
        float r22833 = cos(r22832);
        float r22834 = 3;
        float r22835 = pow(r22833, r22834);
        float r22836 = cbrt(r22835);
        float r22837 = lambda1;
        float r22838 = lambda2;
        float r22839 = r22837 - r22838;
        float r22840 = r22836 * r22839;
        float r22841 = r22829 - r22828;
        float r22842 = hypot(r22840, r22841);
        float r22843 = R;
        float r22844 = r22842 * r22843;
        return r22844;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22845 = phi2;
        double r22846 = phi1;
        double r22847 = r22845 + r22846;
        double r22848 = 2;
        double r22849 = r22847 / r22848;
        double r22850 = cos(r22849);
        double r22851 = 3;
        double r22852 = pow(r22850, r22851);
        double r22853 = cbrt(r22852);
        double r22854 = lambda1;
        double r22855 = lambda2;
        double r22856 = r22854 - r22855;
        double r22857 = r22853 * r22856;
        double r22858 = r22846 - r22845;
        double r22859 = hypot(r22857, r22858);
        double r22860 = R;
        double r22861 = r22859 * r22860;
        return r22861;
}

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 r22862, r22863, r22864, r22865, r22866, r22867, r22868, r22869, r22870, r22871, r22872, r22873, r22874, r22875, r22876, r22877, r22878;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init(r22864);
        mpfr_init(r22865);
        mpfr_init(r22866);
        mpfr_init(r22867);
        mpfr_init(r22868);
        mpfr_init_set_str(r22869, "2", 10, MPFR_RNDN);
        mpfr_init(r22870);
        mpfr_init(r22871);
        mpfr_init(r22872);
        mpfr_init(r22873);
        mpfr_init(r22874);
        mpfr_init(r22875);
        mpfr_init(r22876);
        mpfr_init(r22877);
        mpfr_init(r22878);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22862, R, MPFR_RNDN);
        mpfr_set_d(r22863, lambda1, MPFR_RNDN);
        mpfr_set_d(r22864, lambda2, MPFR_RNDN);
        mpfr_sub(r22865, r22863, r22864, MPFR_RNDN);
        mpfr_set_d(r22866, phi1, MPFR_RNDN);
        mpfr_set_d(r22867, phi2, MPFR_RNDN);
        mpfr_add(r22868, r22866, r22867, MPFR_RNDN);
        ;
        mpfr_div(r22870, r22868, r22869, MPFR_RNDN);
        mpfr_cos(r22871, r22870, MPFR_RNDN);
        mpfr_mul(r22872, r22865, r22871, MPFR_RNDN);
        mpfr_mul(r22873, r22872, r22872, MPFR_RNDN);
        mpfr_sub(r22874, r22866, r22867, MPFR_RNDN);
        mpfr_mul(r22875, r22874, r22874, MPFR_RNDN);
        mpfr_add(r22876, r22873, r22875, MPFR_RNDN);
        mpfr_sqrt(r22877, r22876, MPFR_RNDN);
        mpfr_mul(r22878, r22862, r22877, MPFR_RNDN);
        return mpfr_get_d(r22878, MPFR_RNDN);
}

static mpfr_t r22879, r22880, r22881, r22882, r22883, r22884, r22885, r22886, r22887, r22888, r22889, r22890, r22891, r22892, r22893, r22894, r22895;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22879);
        mpfr_init(r22880);
        mpfr_init(r22881);
        mpfr_init_set_str(r22882, "2", 10, MPFR_RNDN);
        mpfr_init(r22883);
        mpfr_init(r22884);
        mpfr_init_set_str(r22885, "3", 10, MPFR_RNDN);
        mpfr_init(r22886);
        mpfr_init(r22887);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init(r22892);
        mpfr_init(r22893);
        mpfr_init(r22894);
        mpfr_init(r22895);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22879, phi2, MPFR_RNDN);
        mpfr_set_d(r22880, phi1, MPFR_RNDN);
        mpfr_add(r22881, r22879, r22880, MPFR_RNDN);
        ;
        mpfr_div(r22883, r22881, r22882, MPFR_RNDN);
        mpfr_cos(r22884, r22883, MPFR_RNDN);
        ;
        mpfr_pow(r22886, r22884, r22885, MPFR_RNDN);
        mpfr_cbrt(r22887, r22886, MPFR_RNDN);
        mpfr_set_d(r22888, lambda1, MPFR_RNDN);
        mpfr_set_d(r22889, lambda2, MPFR_RNDN);
        mpfr_sub(r22890, r22888, r22889, MPFR_RNDN);
        mpfr_mul(r22891, r22887, r22890, MPFR_RNDN);
        mpfr_sub(r22892, r22880, r22879, MPFR_RNDN);
        mpfr_hypot(r22893, r22891, r22892, MPFR_RNDN);
        mpfr_set_d(r22894, R, MPFR_RNDN);
        mpfr_mul(r22895, r22893, r22894, MPFR_RNDN);
        return mpfr_get_d(r22895, MPFR_RNDN);
}

static mpfr_t r22896, r22897, r22898, r22899, r22900, r22901, r22902, r22903, r22904, r22905, r22906, r22907, r22908, r22909, r22910, r22911, r22912;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22896);
        mpfr_init(r22897);
        mpfr_init(r22898);
        mpfr_init_set_str(r22899, "2", 10, MPFR_RNDN);
        mpfr_init(r22900);
        mpfr_init(r22901);
        mpfr_init_set_str(r22902, "3", 10, MPFR_RNDN);
        mpfr_init(r22903);
        mpfr_init(r22904);
        mpfr_init(r22905);
        mpfr_init(r22906);
        mpfr_init(r22907);
        mpfr_init(r22908);
        mpfr_init(r22909);
        mpfr_init(r22910);
        mpfr_init(r22911);
        mpfr_init(r22912);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22896, phi2, MPFR_RNDN);
        mpfr_set_d(r22897, phi1, MPFR_RNDN);
        mpfr_add(r22898, r22896, r22897, MPFR_RNDN);
        ;
        mpfr_div(r22900, r22898, r22899, MPFR_RNDN);
        mpfr_cos(r22901, r22900, MPFR_RNDN);
        ;
        mpfr_pow(r22903, r22901, r22902, MPFR_RNDN);
        mpfr_cbrt(r22904, r22903, MPFR_RNDN);
        mpfr_set_d(r22905, lambda1, MPFR_RNDN);
        mpfr_set_d(r22906, lambda2, MPFR_RNDN);
        mpfr_sub(r22907, r22905, r22906, MPFR_RNDN);
        mpfr_mul(r22908, r22904, r22907, MPFR_RNDN);
        mpfr_sub(r22909, r22897, r22896, MPFR_RNDN);
        mpfr_hypot(r22910, r22908, r22909, MPFR_RNDN);
        mpfr_set_d(r22911, R, MPFR_RNDN);
        mpfr_mul(r22912, r22910, r22911, MPFR_RNDN);
        return mpfr_get_d(r22912, MPFR_RNDN);
}