#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 r22065 = R;
        float r22066 = lambda1;
        float r22067 = lambda2;
        float r22068 = r22066 - r22067;
        float r22069 = phi1;
        float r22070 = phi2;
        float r22071 = r22069 + r22070;
        float r22072 = 2;
        float r22073 = r22071 / r22072;
        float r22074 = cos(r22073);
        float r22075 = r22068 * r22074;
        float r22076 = r22075 * r22075;
        float r22077 = r22069 - r22070;
        float r22078 = r22077 * r22077;
        float r22079 = r22076 + r22078;
        float r22080 = sqrt(r22079);
        float r22081 = r22065 * r22080;
        return r22081;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22082 = R;
        double r22083 = lambda1;
        double r22084 = lambda2;
        double r22085 = r22083 - r22084;
        double r22086 = phi1;
        double r22087 = phi2;
        double r22088 = r22086 + r22087;
        double r22089 = 2;
        double r22090 = r22088 / r22089;
        double r22091 = cos(r22090);
        double r22092 = r22085 * r22091;
        double r22093 = r22092 * r22092;
        double r22094 = r22086 - r22087;
        double r22095 = r22094 * r22094;
        double r22096 = r22093 + r22095;
        double r22097 = sqrt(r22096);
        double r22098 = r22082 * r22097;
        return r22098;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22099 = phi1;
        float r22100 = phi2;
        float r22101 = r22099 + r22100;
        float r22102 = 2;
        float r22103 = r22101 / r22102;
        float r22104 = cos(r22103);
        float r22105 = r22104 * r22104;
        float r22106 = r22105 * r22104;
        float r22107 = cbrt(r22106);
        float r22108 = lambda1;
        float r22109 = lambda2;
        float r22110 = r22108 - r22109;
        float r22111 = r22107 * r22110;
        float r22112 = r22099 - r22100;
        float r22113 = hypot(r22111, r22112);
        float r22114 = R;
        float r22115 = r22113 * r22114;
        return r22115;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22116 = phi1;
        double r22117 = phi2;
        double r22118 = r22116 + r22117;
        double r22119 = 2;
        double r22120 = r22118 / r22119;
        double r22121 = cos(r22120);
        double r22122 = r22121 * r22121;
        double r22123 = r22122 * r22121;
        double r22124 = cbrt(r22123);
        double r22125 = lambda1;
        double r22126 = lambda2;
        double r22127 = r22125 - r22126;
        double r22128 = r22124 * r22127;
        double r22129 = r22116 - r22117;
        double r22130 = hypot(r22128, r22129);
        double r22131 = R;
        double r22132 = r22130 * r22131;
        return r22132;
}

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 r22133, r22134, r22135, r22136, r22137, r22138, r22139, r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22133);
        mpfr_init(r22134);
        mpfr_init(r22135);
        mpfr_init(r22136);
        mpfr_init(r22137);
        mpfr_init(r22138);
        mpfr_init(r22139);
        mpfr_init_set_str(r22140, "2", 10, MPFR_RNDN);
        mpfr_init(r22141);
        mpfr_init(r22142);
        mpfr_init(r22143);
        mpfr_init(r22144);
        mpfr_init(r22145);
        mpfr_init(r22146);
        mpfr_init(r22147);
        mpfr_init(r22148);
        mpfr_init(r22149);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22133, R, MPFR_RNDN);
        mpfr_set_d(r22134, lambda1, MPFR_RNDN);
        mpfr_set_d(r22135, lambda2, MPFR_RNDN);
        mpfr_sub(r22136, r22134, r22135, MPFR_RNDN);
        mpfr_set_d(r22137, phi1, MPFR_RNDN);
        mpfr_set_d(r22138, phi2, MPFR_RNDN);
        mpfr_add(r22139, r22137, r22138, MPFR_RNDN);
        ;
        mpfr_div(r22141, r22139, r22140, MPFR_RNDN);
        mpfr_cos(r22142, r22141, MPFR_RNDN);
        mpfr_mul(r22143, r22136, r22142, MPFR_RNDN);
        mpfr_mul(r22144, r22143, r22143, MPFR_RNDN);
        mpfr_sub(r22145, r22137, r22138, MPFR_RNDN);
        mpfr_mul(r22146, r22145, r22145, MPFR_RNDN);
        mpfr_add(r22147, r22144, r22146, MPFR_RNDN);
        mpfr_sqrt(r22148, r22147, MPFR_RNDN);
        mpfr_mul(r22149, r22133, r22148, MPFR_RNDN);
        return mpfr_get_d(r22149, MPFR_RNDN);
}

static mpfr_t r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
        mpfr_init_set_str(r22153, "2", 10, MPFR_RNDN);
        mpfr_init(r22154);
        mpfr_init(r22155);
        mpfr_init(r22156);
        mpfr_init(r22157);
        mpfr_init(r22158);
        mpfr_init(r22159);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init(r22162);
        mpfr_init(r22163);
        mpfr_init(r22164);
        mpfr_init(r22165);
        mpfr_init(r22166);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22150, phi1, MPFR_RNDN);
        mpfr_set_d(r22151, phi2, MPFR_RNDN);
        mpfr_add(r22152, r22150, r22151, MPFR_RNDN);
        ;
        mpfr_div(r22154, r22152, r22153, MPFR_RNDN);
        mpfr_cos(r22155, r22154, MPFR_RNDN);
        mpfr_mul(r22156, r22155, r22155, MPFR_RNDN);
        mpfr_mul(r22157, r22156, r22155, MPFR_RNDN);
        mpfr_cbrt(r22158, r22157, MPFR_RNDN);
        mpfr_set_d(r22159, lambda1, MPFR_RNDN);
        mpfr_set_d(r22160, lambda2, MPFR_RNDN);
        mpfr_sub(r22161, r22159, r22160, MPFR_RNDN);
        mpfr_mul(r22162, r22158, r22161, MPFR_RNDN);
        mpfr_sub(r22163, r22150, r22151, MPFR_RNDN);
        mpfr_hypot(r22164, r22162, r22163, MPFR_RNDN);
        mpfr_set_d(r22165, R, MPFR_RNDN);
        mpfr_mul(r22166, r22164, r22165, MPFR_RNDN);
        return mpfr_get_d(r22166, MPFR_RNDN);
}

static mpfr_t r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22167);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init_set_str(r22170, "2", 10, MPFR_RNDN);
        mpfr_init(r22171);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init(r22177);
        mpfr_init(r22178);
        mpfr_init(r22179);
        mpfr_init(r22180);
        mpfr_init(r22181);
        mpfr_init(r22182);
        mpfr_init(r22183);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22167, phi1, MPFR_RNDN);
        mpfr_set_d(r22168, phi2, MPFR_RNDN);
        mpfr_add(r22169, r22167, r22168, MPFR_RNDN);
        ;
        mpfr_div(r22171, r22169, r22170, MPFR_RNDN);
        mpfr_cos(r22172, r22171, MPFR_RNDN);
        mpfr_mul(r22173, r22172, r22172, MPFR_RNDN);
        mpfr_mul(r22174, r22173, r22172, MPFR_RNDN);
        mpfr_cbrt(r22175, r22174, MPFR_RNDN);
        mpfr_set_d(r22176, lambda1, MPFR_RNDN);
        mpfr_set_d(r22177, lambda2, MPFR_RNDN);
        mpfr_sub(r22178, r22176, r22177, MPFR_RNDN);
        mpfr_mul(r22179, r22175, r22178, MPFR_RNDN);
        mpfr_sub(r22180, r22167, r22168, MPFR_RNDN);
        mpfr_hypot(r22181, r22179, r22180, MPFR_RNDN);
        mpfr_set_d(r22182, R, MPFR_RNDN);
        mpfr_mul(r22183, r22181, r22182, MPFR_RNDN);
        return mpfr_get_d(r22183, MPFR_RNDN);
}