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

char *name = "Midpoint on a great circle";

double f_if(float lambda1, float lambda2, float phi1, float phi2) {
        float r22084 = lambda1;
        float r22085 = phi2;
        float r22086 = cos(r22085);
        float r22087 = lambda2;
        float r22088 = r22084 - r22087;
        float r22089 = sin(r22088);
        float r22090 = r22086 * r22089;
        float r22091 = phi1;
        float r22092 = cos(r22091);
        float r22093 = cos(r22088);
        float r22094 = r22086 * r22093;
        float r22095 = r22092 + r22094;
        float r22096 = atan2(r22090, r22095);
        float r22097 = r22084 + r22096;
        return r22097;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r22098 = lambda1;
        double r22099 = phi2;
        double r22100 = cos(r22099);
        double r22101 = lambda2;
        double r22102 = r22098 - r22101;
        double r22103 = sin(r22102);
        double r22104 = r22100 * r22103;
        double r22105 = phi1;
        double r22106 = cos(r22105);
        double r22107 = cos(r22102);
        double r22108 = r22100 * r22107;
        double r22109 = r22106 + r22108;
        double r22110 = atan2(r22104, r22109);
        double r22111 = r22098 + r22110;
        return r22111;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r22112 = lambda1;
        float r22113 = phi2;
        float r22114 = cos(r22113);
        float r22115 = sin(r22112);
        float r22116 = lambda2;
        float r22117 = cos(r22116);
        float r22118 = r22115 * r22117;
        float r22119 = cos(r22112);
        float r22120 = -r22116;
        float r22121 = sin(r22120);
        float r22122 = r22119 * r22121;
        float r22123 = r22118 + r22122;
        float r22124 = r22114 * r22123;
        float r22125 = phi1;
        float r22126 = cos(r22125);
        float r22127 = r22119 * r22117;
        float r22128 = r22115 * r22121;
        float r22129 = r22127 - r22128;
        float r22130 = r22114 * r22129;
        float r22131 = r22126 + r22130;
        float r22132 = atan2(r22124, r22131);
        float r22133 = r22112 + r22132;
        return r22133;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r22134 = lambda1;
        double r22135 = phi2;
        double r22136 = cos(r22135);
        double r22137 = sin(r22134);
        double r22138 = lambda2;
        double r22139 = cos(r22138);
        double r22140 = r22137 * r22139;
        double r22141 = cos(r22134);
        double r22142 = -r22138;
        double r22143 = sin(r22142);
        double r22144 = r22141 * r22143;
        double r22145 = r22140 + r22144;
        double r22146 = r22136 * r22145;
        double r22147 = phi1;
        double r22148 = cos(r22147);
        double r22149 = r22141 * r22139;
        double r22150 = r22137 * r22143;
        double r22151 = r22149 - r22150;
        double r22152 = r22136 * r22151;
        double r22153 = r22148 + r22152;
        double r22154 = atan2(r22146, r22153);
        double r22155 = r22134 + r22154;
        return r22155;
}

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 r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        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);
        mpfr_init(r22167);
        mpfr_init(r22168);
        mpfr_init(r22169);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22156, lambda1, MPFR_RNDN);
        mpfr_set_d(r22157, phi2, MPFR_RNDN);
        mpfr_cos(r22158, r22157, MPFR_RNDN);
        mpfr_set_d(r22159, lambda2, MPFR_RNDN);
        mpfr_sub(r22160, r22156, r22159, MPFR_RNDN);
        mpfr_sin(r22161, r22160, MPFR_RNDN);
        mpfr_mul(r22162, r22158, r22161, MPFR_RNDN);
        mpfr_set_d(r22163, phi1, MPFR_RNDN);
        mpfr_cos(r22164, r22163, MPFR_RNDN);
        mpfr_cos(r22165, r22160, MPFR_RNDN);
        mpfr_mul(r22166, r22158, r22165, MPFR_RNDN);
        mpfr_add(r22167, r22164, r22166, MPFR_RNDN);
        mpfr_atan2(r22168, r22162, r22167, MPFR_RNDN);
        mpfr_add(r22169, r22156, r22168, MPFR_RNDN);
        return mpfr_get_d(r22169, MPFR_RNDN);
}

static mpfr_t r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187, r22188, r22189, r22190, r22191;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22170);
        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);
        mpfr_init(r22184);
        mpfr_init(r22185);
        mpfr_init(r22186);
        mpfr_init(r22187);
        mpfr_init(r22188);
        mpfr_init(r22189);
        mpfr_init(r22190);
        mpfr_init(r22191);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22170, lambda1, MPFR_RNDN);
        mpfr_set_d(r22171, phi2, MPFR_RNDN);
        mpfr_cos(r22172, r22171, MPFR_RNDN);
        mpfr_sin(r22173, r22170, MPFR_RNDN);
        mpfr_set_d(r22174, lambda2, MPFR_RNDN);
        mpfr_cos(r22175, r22174, MPFR_RNDN);
        mpfr_mul(r22176, r22173, r22175, MPFR_RNDN);
        mpfr_cos(r22177, r22170, MPFR_RNDN);
        mpfr_neg(r22178, r22174, MPFR_RNDN);
        mpfr_sin(r22179, r22178, MPFR_RNDN);
        mpfr_mul(r22180, r22177, r22179, MPFR_RNDN);
        mpfr_add(r22181, r22176, r22180, MPFR_RNDN);
        mpfr_mul(r22182, r22172, r22181, MPFR_RNDN);
        mpfr_set_d(r22183, phi1, MPFR_RNDN);
        mpfr_cos(r22184, r22183, MPFR_RNDN);
        mpfr_mul(r22185, r22177, r22175, MPFR_RNDN);
        mpfr_mul(r22186, r22173, r22179, MPFR_RNDN);
        mpfr_sub(r22187, r22185, r22186, MPFR_RNDN);
        mpfr_mul(r22188, r22172, r22187, MPFR_RNDN);
        mpfr_add(r22189, r22184, r22188, MPFR_RNDN);
        mpfr_atan2(r22190, r22182, r22189, MPFR_RNDN);
        mpfr_add(r22191, r22170, r22190, MPFR_RNDN);
        return mpfr_get_d(r22191, MPFR_RNDN);
}

static mpfr_t r22192, r22193, r22194, r22195, r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22192);
        mpfr_init(r22193);
        mpfr_init(r22194);
        mpfr_init(r22195);
        mpfr_init(r22196);
        mpfr_init(r22197);
        mpfr_init(r22198);
        mpfr_init(r22199);
        mpfr_init(r22200);
        mpfr_init(r22201);
        mpfr_init(r22202);
        mpfr_init(r22203);
        mpfr_init(r22204);
        mpfr_init(r22205);
        mpfr_init(r22206);
        mpfr_init(r22207);
        mpfr_init(r22208);
        mpfr_init(r22209);
        mpfr_init(r22210);
        mpfr_init(r22211);
        mpfr_init(r22212);
        mpfr_init(r22213);
}

double f_dm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22192, lambda1, MPFR_RNDN);
        mpfr_set_d(r22193, phi2, MPFR_RNDN);
        mpfr_cos(r22194, r22193, MPFR_RNDN);
        mpfr_sin(r22195, r22192, MPFR_RNDN);
        mpfr_set_d(r22196, lambda2, MPFR_RNDN);
        mpfr_cos(r22197, r22196, MPFR_RNDN);
        mpfr_mul(r22198, r22195, r22197, MPFR_RNDN);
        mpfr_cos(r22199, r22192, MPFR_RNDN);
        mpfr_neg(r22200, r22196, MPFR_RNDN);
        mpfr_sin(r22201, r22200, MPFR_RNDN);
        mpfr_mul(r22202, r22199, r22201, MPFR_RNDN);
        mpfr_add(r22203, r22198, r22202, MPFR_RNDN);
        mpfr_mul(r22204, r22194, r22203, MPFR_RNDN);
        mpfr_set_d(r22205, phi1, MPFR_RNDN);
        mpfr_cos(r22206, r22205, MPFR_RNDN);
        mpfr_mul(r22207, r22199, r22197, MPFR_RNDN);
        mpfr_mul(r22208, r22195, r22201, MPFR_RNDN);
        mpfr_sub(r22209, r22207, r22208, MPFR_RNDN);
        mpfr_mul(r22210, r22194, r22209, MPFR_RNDN);
        mpfr_add(r22211, r22206, r22210, MPFR_RNDN);
        mpfr_atan2(r22212, r22204, r22211, MPFR_RNDN);
        mpfr_add(r22213, r22192, r22212, MPFR_RNDN);
        return mpfr_get_d(r22213, MPFR_RNDN);
}

