#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 r22467 = R;
        float r22468 = lambda1;
        float r22469 = lambda2;
        float r22470 = r22468 - r22469;
        float r22471 = phi1;
        float r22472 = phi2;
        float r22473 = r22471 + r22472;
        float r22474 = 2;
        float r22475 = r22473 / r22474;
        float r22476 = cos(r22475);
        float r22477 = r22470 * r22476;
        float r22478 = r22477 * r22477;
        float r22479 = r22471 - r22472;
        float r22480 = r22479 * r22479;
        float r22481 = r22478 + r22480;
        float r22482 = sqrt(r22481);
        float r22483 = r22467 * r22482;
        return r22483;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22484 = R;
        double r22485 = lambda1;
        double r22486 = lambda2;
        double r22487 = r22485 - r22486;
        double r22488 = phi1;
        double r22489 = phi2;
        double r22490 = r22488 + r22489;
        double r22491 = 2;
        double r22492 = r22490 / r22491;
        double r22493 = cos(r22492);
        double r22494 = r22487 * r22493;
        double r22495 = r22494 * r22494;
        double r22496 = r22488 - r22489;
        double r22497 = r22496 * r22496;
        double r22498 = r22495 + r22497;
        double r22499 = sqrt(r22498);
        double r22500 = r22484 * r22499;
        return r22500;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22501 = phi1;
        float r22502 = phi2;
        float r22503 = r22501 + r22502;
        float r22504 = 2;
        float r22505 = r22503 / r22504;
        float r22506 = cos(r22505);
        float r22507 = expm1(r22506);
        float r22508 = log1p(r22507);
        float r22509 = lambda1;
        float r22510 = lambda2;
        float r22511 = r22509 - r22510;
        float r22512 = r22508 * r22511;
        float r22513 = r22501 - r22502;
        float r22514 = hypot(r22512, r22513);
        float r22515 = R;
        float r22516 = r22514 * r22515;
        return r22516;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22517 = phi1;
        double r22518 = phi2;
        double r22519 = r22517 + r22518;
        double r22520 = 2;
        double r22521 = r22519 / r22520;
        double r22522 = cos(r22521);
        double r22523 = expm1(r22522);
        double r22524 = log1p(r22523);
        double r22525 = lambda1;
        double r22526 = lambda2;
        double r22527 = r22525 - r22526;
        double r22528 = r22524 * r22527;
        double r22529 = r22517 - r22518;
        double r22530 = hypot(r22528, r22529);
        double r22531 = R;
        double r22532 = r22530 * r22531;
        return r22532;
}

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 r22533, r22534, r22535, r22536, r22537, r22538, r22539, r22540, r22541, r22542, r22543, r22544, r22545, r22546, r22547, r22548, r22549;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22533);
        mpfr_init(r22534);
        mpfr_init(r22535);
        mpfr_init(r22536);
        mpfr_init(r22537);
        mpfr_init(r22538);
        mpfr_init(r22539);
        mpfr_init_set_str(r22540, "2", 10, MPFR_RNDN);
        mpfr_init(r22541);
        mpfr_init(r22542);
        mpfr_init(r22543);
        mpfr_init(r22544);
        mpfr_init(r22545);
        mpfr_init(r22546);
        mpfr_init(r22547);
        mpfr_init(r22548);
        mpfr_init(r22549);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22533, R, MPFR_RNDN);
        mpfr_set_d(r22534, lambda1, MPFR_RNDN);
        mpfr_set_d(r22535, lambda2, MPFR_RNDN);
        mpfr_sub(r22536, r22534, r22535, MPFR_RNDN);
        mpfr_set_d(r22537, phi1, MPFR_RNDN);
        mpfr_set_d(r22538, phi2, MPFR_RNDN);
        mpfr_add(r22539, r22537, r22538, MPFR_RNDN);
        ;
        mpfr_div(r22541, r22539, r22540, MPFR_RNDN);
        mpfr_cos(r22542, r22541, MPFR_RNDN);
        mpfr_mul(r22543, r22536, r22542, MPFR_RNDN);
        mpfr_mul(r22544, r22543, r22543, MPFR_RNDN);
        mpfr_sub(r22545, r22537, r22538, MPFR_RNDN);
        mpfr_mul(r22546, r22545, r22545, MPFR_RNDN);
        mpfr_add(r22547, r22544, r22546, MPFR_RNDN);
        mpfr_sqrt(r22548, r22547, MPFR_RNDN);
        mpfr_mul(r22549, r22533, r22548, MPFR_RNDN);
        return mpfr_get_d(r22549, MPFR_RNDN);
}

static mpfr_t r22550, r22551, r22552, r22553, r22554, r22555, r22556, r22557, r22558, r22559, r22560, r22561, r22562, r22563, r22564, r22565;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22550);
        mpfr_init(r22551);
        mpfr_init(r22552);
        mpfr_init_set_str(r22553, "2", 10, MPFR_RNDN);
        mpfr_init(r22554);
        mpfr_init(r22555);
        mpfr_init(r22556);
        mpfr_init(r22557);
        mpfr_init(r22558);
        mpfr_init(r22559);
        mpfr_init(r22560);
        mpfr_init(r22561);
        mpfr_init(r22562);
        mpfr_init(r22563);
        mpfr_init(r22564);
        mpfr_init(r22565);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22550, phi1, MPFR_RNDN);
        mpfr_set_d(r22551, phi2, MPFR_RNDN);
        mpfr_add(r22552, r22550, r22551, MPFR_RNDN);
        ;
        mpfr_div(r22554, r22552, r22553, MPFR_RNDN);
        mpfr_cos(r22555, r22554, MPFR_RNDN);
        mpfr_expm1(r22556, r22555, MPFR_RNDN);
        mpfr_log1p(r22557, r22556, MPFR_RNDN);
        mpfr_set_d(r22558, lambda1, MPFR_RNDN);
        mpfr_set_d(r22559, lambda2, MPFR_RNDN);
        mpfr_sub(r22560, r22558, r22559, MPFR_RNDN);
        mpfr_mul(r22561, r22557, r22560, MPFR_RNDN);
        mpfr_sub(r22562, r22550, r22551, MPFR_RNDN);
        mpfr_hypot(r22563, r22561, r22562, MPFR_RNDN);
        mpfr_set_d(r22564, R, MPFR_RNDN);
        mpfr_mul(r22565, r22563, r22564, MPFR_RNDN);
        return mpfr_get_d(r22565, MPFR_RNDN);
}

static mpfr_t r22566, r22567, r22568, r22569, r22570, r22571, r22572, r22573, r22574, r22575, r22576, r22577, r22578, r22579, r22580, r22581;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22566);
        mpfr_init(r22567);
        mpfr_init(r22568);
        mpfr_init_set_str(r22569, "2", 10, MPFR_RNDN);
        mpfr_init(r22570);
        mpfr_init(r22571);
        mpfr_init(r22572);
        mpfr_init(r22573);
        mpfr_init(r22574);
        mpfr_init(r22575);
        mpfr_init(r22576);
        mpfr_init(r22577);
        mpfr_init(r22578);
        mpfr_init(r22579);
        mpfr_init(r22580);
        mpfr_init(r22581);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22566, phi1, MPFR_RNDN);
        mpfr_set_d(r22567, phi2, MPFR_RNDN);
        mpfr_add(r22568, r22566, r22567, MPFR_RNDN);
        ;
        mpfr_div(r22570, r22568, r22569, MPFR_RNDN);
        mpfr_cos(r22571, r22570, MPFR_RNDN);
        mpfr_expm1(r22572, r22571, MPFR_RNDN);
        mpfr_log1p(r22573, r22572, MPFR_RNDN);
        mpfr_set_d(r22574, lambda1, MPFR_RNDN);
        mpfr_set_d(r22575, lambda2, MPFR_RNDN);
        mpfr_sub(r22576, r22574, r22575, MPFR_RNDN);
        mpfr_mul(r22577, r22573, r22576, MPFR_RNDN);
        mpfr_sub(r22578, r22566, r22567, MPFR_RNDN);
        mpfr_hypot(r22579, r22577, r22578, MPFR_RNDN);
        mpfr_set_d(r22580, R, MPFR_RNDN);
        mpfr_mul(r22581, r22579, r22580, MPFR_RNDN);
        return mpfr_get_d(r22581, MPFR_RNDN);
}