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

char *name = "Spherical law of cosines";

double f_if(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21425 = phi1;
        float r21426 = sin(r21425);
        float r21427 = phi2;
        float r21428 = sin(r21427);
        float r21429 = r21426 * r21428;
        float r21430 = cos(r21425);
        float r21431 = cos(r21427);
        float r21432 = r21430 * r21431;
        float r21433 = lambda1;
        float r21434 = lambda2;
        float r21435 = r21433 - r21434;
        float r21436 = cos(r21435);
        float r21437 = r21432 * r21436;
        float r21438 = r21429 + r21437;
        float r21439 = acos(r21438);
        float r21440 = R;
        float r21441 = r21439 * r21440;
        return r21441;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21442 = phi1;
        double r21443 = sin(r21442);
        double r21444 = phi2;
        double r21445 = sin(r21444);
        double r21446 = r21443 * r21445;
        double r21447 = cos(r21442);
        double r21448 = cos(r21444);
        double r21449 = r21447 * r21448;
        double r21450 = lambda1;
        double r21451 = lambda2;
        double r21452 = r21450 - r21451;
        double r21453 = cos(r21452);
        double r21454 = r21449 * r21453;
        double r21455 = r21446 + r21454;
        double r21456 = acos(r21455);
        double r21457 = R;
        double r21458 = r21456 * r21457;
        return r21458;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21459 = lambda1;
        float r21460 = sin(r21459);
        float r21461 = lambda2;
        float r21462 = sin(r21461);
        float r21463 = cos(r21461);
        float r21464 = cos(r21459);
        float r21465 = r21463 * r21464;
        float r21466 = fma(r21460, r21462, r21465);
        float r21467 = phi2;
        float r21468 = cos(r21467);
        float r21469 = phi1;
        float r21470 = cos(r21469);
        float r21471 = r21468 * r21470;
        float r21472 = sin(r21469);
        float r21473 = sin(r21467);
        float r21474 = r21472 * r21473;
        float r21475 = fma(r21466, r21471, r21474);
        float r21476 = acos(r21475);
        float r21477 = exp(r21476);
        float r21478 = 3;
        float r21479 = pow(r21477, r21478);
        float r21480 = cbrt(r21479);
        float r21481 = log(r21480);
        float r21482 = R;
        float r21483 = r21481 * r21482;
        return r21483;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21484 = lambda1;
        double r21485 = sin(r21484);
        double r21486 = lambda2;
        double r21487 = sin(r21486);
        double r21488 = cos(r21486);
        double r21489 = cos(r21484);
        double r21490 = r21488 * r21489;
        double r21491 = fma(r21485, r21487, r21490);
        double r21492 = phi2;
        double r21493 = cos(r21492);
        double r21494 = phi1;
        double r21495 = cos(r21494);
        double r21496 = r21493 * r21495;
        double r21497 = sin(r21494);
        double r21498 = sin(r21492);
        double r21499 = r21497 * r21498;
        double r21500 = fma(r21491, r21496, r21499);
        double r21501 = acos(r21500);
        double r21502 = exp(r21501);
        double r21503 = 3;
        double r21504 = pow(r21502, r21503);
        double r21505 = cbrt(r21504);
        double r21506 = log(r21505);
        double r21507 = R;
        double r21508 = r21506 * r21507;
        return r21508;
}

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 r21509, r21510, r21511, r21512, r21513, r21514, r21515, r21516, r21517, r21518, r21519, r21520, r21521, r21522, r21523, r21524, r21525;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21509);
        mpfr_init(r21510);
        mpfr_init(r21511);
        mpfr_init(r21512);
        mpfr_init(r21513);
        mpfr_init(r21514);
        mpfr_init(r21515);
        mpfr_init(r21516);
        mpfr_init(r21517);
        mpfr_init(r21518);
        mpfr_init(r21519);
        mpfr_init(r21520);
        mpfr_init(r21521);
        mpfr_init(r21522);
        mpfr_init(r21523);
        mpfr_init(r21524);
        mpfr_init(r21525);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21509, phi1, MPFR_RNDN);
        mpfr_sin(r21510, r21509, MPFR_RNDN);
        mpfr_set_d(r21511, phi2, MPFR_RNDN);
        mpfr_sin(r21512, r21511, MPFR_RNDN);
        mpfr_mul(r21513, r21510, r21512, MPFR_RNDN);
        mpfr_cos(r21514, r21509, MPFR_RNDN);
        mpfr_cos(r21515, r21511, MPFR_RNDN);
        mpfr_mul(r21516, r21514, r21515, MPFR_RNDN);
        mpfr_set_d(r21517, lambda1, MPFR_RNDN);
        mpfr_set_d(r21518, lambda2, MPFR_RNDN);
        mpfr_sub(r21519, r21517, r21518, MPFR_RNDN);
        mpfr_cos(r21520, r21519, MPFR_RNDN);
        mpfr_mul(r21521, r21516, r21520, MPFR_RNDN);
        mpfr_add(r21522, r21513, r21521, MPFR_RNDN);
        mpfr_acos(r21523, r21522, MPFR_RNDN);
        mpfr_set_d(r21524, R, MPFR_RNDN);
        mpfr_mul(r21525, r21523, r21524, MPFR_RNDN);
        return mpfr_get_d(r21525, MPFR_RNDN);
}

static mpfr_t r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534, r21535, r21536, r21537, r21538, r21539, r21540, r21541, r21542, r21543, r21544, r21545, r21546, r21547, r21548, r21549, r21550;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21526);
        mpfr_init(r21527);
        mpfr_init(r21528);
        mpfr_init(r21529);
        mpfr_init(r21530);
        mpfr_init(r21531);
        mpfr_init(r21532);
        mpfr_init(r21533);
        mpfr_init(r21534);
        mpfr_init(r21535);
        mpfr_init(r21536);
        mpfr_init(r21537);
        mpfr_init(r21538);
        mpfr_init(r21539);
        mpfr_init(r21540);
        mpfr_init(r21541);
        mpfr_init(r21542);
        mpfr_init(r21543);
        mpfr_init(r21544);
        mpfr_init_set_str(r21545, "3", 10, MPFR_RNDN);
        mpfr_init(r21546);
        mpfr_init(r21547);
        mpfr_init(r21548);
        mpfr_init(r21549);
        mpfr_init(r21550);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21526, lambda1, MPFR_RNDN);
        mpfr_sin(r21527, r21526, MPFR_RNDN);
        mpfr_set_d(r21528, lambda2, MPFR_RNDN);
        mpfr_sin(r21529, r21528, MPFR_RNDN);
        mpfr_cos(r21530, r21528, MPFR_RNDN);
        mpfr_cos(r21531, r21526, MPFR_RNDN);
        mpfr_mul(r21532, r21530, r21531, MPFR_RNDN);
        mpfr_fma(r21533, r21527, r21529, r21532, MPFR_RNDN);
        mpfr_set_d(r21534, phi2, MPFR_RNDN);
        mpfr_cos(r21535, r21534, MPFR_RNDN);
        mpfr_set_d(r21536, phi1, MPFR_RNDN);
        mpfr_cos(r21537, r21536, MPFR_RNDN);
        mpfr_mul(r21538, r21535, r21537, MPFR_RNDN);
        mpfr_sin(r21539, r21536, MPFR_RNDN);
        mpfr_sin(r21540, r21534, MPFR_RNDN);
        mpfr_mul(r21541, r21539, r21540, MPFR_RNDN);
        mpfr_fma(r21542, r21533, r21538, r21541, MPFR_RNDN);
        mpfr_acos(r21543, r21542, MPFR_RNDN);
        mpfr_exp(r21544, r21543, MPFR_RNDN);
        ;
        mpfr_pow(r21546, r21544, r21545, MPFR_RNDN);
        mpfr_cbrt(r21547, r21546, MPFR_RNDN);
        mpfr_log(r21548, r21547, MPFR_RNDN);
        mpfr_set_d(r21549, R, MPFR_RNDN);
        mpfr_mul(r21550, r21548, r21549, MPFR_RNDN);
        return mpfr_get_d(r21550, MPFR_RNDN);
}

static mpfr_t r21551, r21552, r21553, r21554, r21555, r21556, r21557, r21558, r21559, r21560, r21561, r21562, r21563, r21564, r21565, r21566, r21567, r21568, r21569, r21570, r21571, r21572, r21573, r21574, r21575;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21551);
        mpfr_init(r21552);
        mpfr_init(r21553);
        mpfr_init(r21554);
        mpfr_init(r21555);
        mpfr_init(r21556);
        mpfr_init(r21557);
        mpfr_init(r21558);
        mpfr_init(r21559);
        mpfr_init(r21560);
        mpfr_init(r21561);
        mpfr_init(r21562);
        mpfr_init(r21563);
        mpfr_init(r21564);
        mpfr_init(r21565);
        mpfr_init(r21566);
        mpfr_init(r21567);
        mpfr_init(r21568);
        mpfr_init(r21569);
        mpfr_init_set_str(r21570, "3", 10, MPFR_RNDN);
        mpfr_init(r21571);
        mpfr_init(r21572);
        mpfr_init(r21573);
        mpfr_init(r21574);
        mpfr_init(r21575);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21551, lambda1, MPFR_RNDN);
        mpfr_sin(r21552, r21551, MPFR_RNDN);
        mpfr_set_d(r21553, lambda2, MPFR_RNDN);
        mpfr_sin(r21554, r21553, MPFR_RNDN);
        mpfr_cos(r21555, r21553, MPFR_RNDN);
        mpfr_cos(r21556, r21551, MPFR_RNDN);
        mpfr_mul(r21557, r21555, r21556, MPFR_RNDN);
        mpfr_fma(r21558, r21552, r21554, r21557, MPFR_RNDN);
        mpfr_set_d(r21559, phi2, MPFR_RNDN);
        mpfr_cos(r21560, r21559, MPFR_RNDN);
        mpfr_set_d(r21561, phi1, MPFR_RNDN);
        mpfr_cos(r21562, r21561, MPFR_RNDN);
        mpfr_mul(r21563, r21560, r21562, MPFR_RNDN);
        mpfr_sin(r21564, r21561, MPFR_RNDN);
        mpfr_sin(r21565, r21559, MPFR_RNDN);
        mpfr_mul(r21566, r21564, r21565, MPFR_RNDN);
        mpfr_fma(r21567, r21558, r21563, r21566, MPFR_RNDN);
        mpfr_acos(r21568, r21567, MPFR_RNDN);
        mpfr_exp(r21569, r21568, MPFR_RNDN);
        ;
        mpfr_pow(r21571, r21569, r21570, MPFR_RNDN);
        mpfr_cbrt(r21572, r21571, MPFR_RNDN);
        mpfr_log(r21573, r21572, MPFR_RNDN);
        mpfr_set_d(r21574, R, MPFR_RNDN);
        mpfr_mul(r21575, r21573, r21574, MPFR_RNDN);
        return mpfr_get_d(r21575, MPFR_RNDN);
}