#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 r8897 = R;
        float r8898 = lambda1;
        float r8899 = lambda2;
        float r8900 = r8898 - r8899;
        float r8901 = phi1;
        float r8902 = phi2;
        float r8903 = r8901 + r8902;
        float r8904 = 2.0f;
        float r8905 = r8903 / r8904;
        float r8906 = cos(r8905);
        float r8907 = r8900 * r8906;
        float r8908 = r8907 * r8907;
        float r8909 = r8901 - r8902;
        float r8910 = r8909 * r8909;
        float r8911 = r8908 + r8910;
        float r8912 = sqrt(r8911);
        float r8913 = r8897 * r8912;
        return r8913;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r8914 = R;
        double r8915 = lambda1;
        double r8916 = lambda2;
        double r8917 = r8915 - r8916;
        double r8918 = phi1;
        double r8919 = phi2;
        double r8920 = r8918 + r8919;
        double r8921 = 2.0;
        double r8922 = r8920 / r8921;
        double r8923 = cos(r8922);
        double r8924 = r8917 * r8923;
        double r8925 = r8924 * r8924;
        double r8926 = r8918 - r8919;
        double r8927 = r8926 * r8926;
        double r8928 = r8925 + r8927;
        double r8929 = sqrt(r8928);
        double r8930 = r8914 * r8929;
        return r8930;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r8931 = R;
        float r8932 = lambda1;
        float r8933 = lambda2;
        float r8934 = r8932 - r8933;
        float r8935 = phi2;
        float r8936 = phi1;
        float r8937 = r8935 + r8936;
        float r8938 = 2.0f;
        float r8939 = r8937 / r8938;
        float r8940 = cos(r8939);
        float r8941 = log1p(r8940);
        float r8942 = expm1(r8941);
        float r8943 = r8934 * r8942;
        float r8944 = r8936 - r8935;
        float r8945 = hypot(r8943, r8944);
        float r8946 = r8931 * r8945;
        return r8946;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r8947 = R;
        double r8948 = lambda1;
        double r8949 = lambda2;
        double r8950 = r8948 - r8949;
        double r8951 = phi2;
        double r8952 = phi1;
        double r8953 = r8951 + r8952;
        double r8954 = 2.0;
        double r8955 = r8953 / r8954;
        double r8956 = cos(r8955);
        double r8957 = log1p(r8956);
        double r8958 = expm1(r8957);
        double r8959 = r8950 * r8958;
        double r8960 = r8952 - r8951;
        double r8961 = hypot(r8959, r8960);
        double r8962 = r8947 * r8961;
        return r8962;
}

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 r8963, r8964, r8965, r8966, r8967, r8968, r8969, r8970, r8971, r8972, r8973, r8974, r8975, r8976, r8977, r8978, r8979;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r8963);
        mpfr_init(r8964);
        mpfr_init(r8965);
        mpfr_init(r8966);
        mpfr_init(r8967);
        mpfr_init(r8968);
        mpfr_init(r8969);
        mpfr_init_set_str(r8970, "2", 10, MPFR_RNDN);
        mpfr_init(r8971);
        mpfr_init(r8972);
        mpfr_init(r8973);
        mpfr_init(r8974);
        mpfr_init(r8975);
        mpfr_init(r8976);
        mpfr_init(r8977);
        mpfr_init(r8978);
        mpfr_init(r8979);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r8963, R, MPFR_RNDN);
        mpfr_set_d(r8964, lambda1, MPFR_RNDN);
        mpfr_set_d(r8965, lambda2, MPFR_RNDN);
        mpfr_sub(r8966, r8964, r8965, MPFR_RNDN);
        mpfr_set_d(r8967, phi1, MPFR_RNDN);
        mpfr_set_d(r8968, phi2, MPFR_RNDN);
        mpfr_add(r8969, r8967, r8968, MPFR_RNDN);
        ;
        mpfr_div(r8971, r8969, r8970, MPFR_RNDN);
        mpfr_cos(r8972, r8971, MPFR_RNDN);
        mpfr_mul(r8973, r8966, r8972, MPFR_RNDN);
        mpfr_mul(r8974, r8973, r8973, MPFR_RNDN);
        mpfr_sub(r8975, r8967, r8968, MPFR_RNDN);
        mpfr_mul(r8976, r8975, r8975, MPFR_RNDN);
        mpfr_add(r8977, r8974, r8976, MPFR_RNDN);
        mpfr_sqrt(r8978, r8977, MPFR_RNDN);
        mpfr_mul(r8979, r8963, r8978, MPFR_RNDN);
        return mpfr_get_d(r8979, MPFR_RNDN);
}

static mpfr_t r8980, r8981, r8982, r8983, r8984, r8985, r8986, r8987, r8988, r8989, r8990, r8991, r8992, r8993, r8994, r8995;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r8980);
        mpfr_init(r8981);
        mpfr_init(r8982);
        mpfr_init(r8983);
        mpfr_init(r8984);
        mpfr_init(r8985);
        mpfr_init(r8986);
        mpfr_init_set_str(r8987, "2", 10, MPFR_RNDN);
        mpfr_init(r8988);
        mpfr_init(r8989);
        mpfr_init(r8990);
        mpfr_init(r8991);
        mpfr_init(r8992);
        mpfr_init(r8993);
        mpfr_init(r8994);
        mpfr_init(r8995);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r8980, R, MPFR_RNDN);
        mpfr_set_d(r8981, lambda1, MPFR_RNDN);
        mpfr_set_d(r8982, lambda2, MPFR_RNDN);
        mpfr_sub(r8983, r8981, r8982, MPFR_RNDN);
        mpfr_set_d(r8984, phi2, MPFR_RNDN);
        mpfr_set_d(r8985, phi1, MPFR_RNDN);
        mpfr_add(r8986, r8984, r8985, MPFR_RNDN);
        ;
        mpfr_div(r8988, r8986, r8987, MPFR_RNDN);
        mpfr_cos(r8989, r8988, MPFR_RNDN);
        mpfr_log1p(r8990, r8989, MPFR_RNDN);
        mpfr_expm1(r8991, r8990, MPFR_RNDN);
        mpfr_mul(r8992, r8983, r8991, MPFR_RNDN);
        mpfr_sub(r8993, r8985, r8984, MPFR_RNDN);
        mpfr_hypot(r8994, r8992, r8993, MPFR_RNDN);
        mpfr_mul(r8995, r8980, r8994, MPFR_RNDN);
        return mpfr_get_d(r8995, MPFR_RNDN);
}

static mpfr_t r8996, r8997, r8998, r8999, r9000, r9001, r9002, r9003, r9004, r9005, r9006, r9007, r9008, r9009, r9010, r9011;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r8996);
        mpfr_init(r8997);
        mpfr_init(r8998);
        mpfr_init(r8999);
        mpfr_init(r9000);
        mpfr_init(r9001);
        mpfr_init(r9002);
        mpfr_init_set_str(r9003, "2", 10, MPFR_RNDN);
        mpfr_init(r9004);
        mpfr_init(r9005);
        mpfr_init(r9006);
        mpfr_init(r9007);
        mpfr_init(r9008);
        mpfr_init(r9009);
        mpfr_init(r9010);
        mpfr_init(r9011);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r8996, R, MPFR_RNDN);
        mpfr_set_d(r8997, lambda1, MPFR_RNDN);
        mpfr_set_d(r8998, lambda2, MPFR_RNDN);
        mpfr_sub(r8999, r8997, r8998, MPFR_RNDN);
        mpfr_set_d(r9000, phi2, MPFR_RNDN);
        mpfr_set_d(r9001, phi1, MPFR_RNDN);
        mpfr_add(r9002, r9000, r9001, MPFR_RNDN);
        ;
        mpfr_div(r9004, r9002, r9003, MPFR_RNDN);
        mpfr_cos(r9005, r9004, MPFR_RNDN);
        mpfr_log1p(r9006, r9005, MPFR_RNDN);
        mpfr_expm1(r9007, r9006, MPFR_RNDN);
        mpfr_mul(r9008, r8999, r9007, MPFR_RNDN);
        mpfr_sub(r9009, r9001, r9000, MPFR_RNDN);
        mpfr_hypot(r9010, r9008, r9009, MPFR_RNDN);
        mpfr_mul(r9011, r8996, r9010, MPFR_RNDN);
        return mpfr_get_d(r9011, MPFR_RNDN);
}

