#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 r21437 = phi1;
        float r21438 = sin(r21437);
        float r21439 = phi2;
        float r21440 = sin(r21439);
        float r21441 = r21438 * r21440;
        float r21442 = cos(r21437);
        float r21443 = cos(r21439);
        float r21444 = r21442 * r21443;
        float r21445 = lambda1;
        float r21446 = lambda2;
        float r21447 = r21445 - r21446;
        float r21448 = cos(r21447);
        float r21449 = r21444 * r21448;
        float r21450 = r21441 + r21449;
        float r21451 = acos(r21450);
        float r21452 = R;
        float r21453 = r21451 * r21452;
        return r21453;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21454 = phi1;
        double r21455 = sin(r21454);
        double r21456 = phi2;
        double r21457 = sin(r21456);
        double r21458 = r21455 * r21457;
        double r21459 = cos(r21454);
        double r21460 = cos(r21456);
        double r21461 = r21459 * r21460;
        double r21462 = lambda1;
        double r21463 = lambda2;
        double r21464 = r21462 - r21463;
        double r21465 = cos(r21464);
        double r21466 = r21461 * r21465;
        double r21467 = r21458 + r21466;
        double r21468 = acos(r21467);
        double r21469 = R;
        double r21470 = r21468 * r21469;
        return r21470;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21471 = phi1;
        float r21472 = sin(r21471);
        float r21473 = phi2;
        float r21474 = sin(r21473);
        float r21475 = r21472 * r21474;
        float r21476 = cos(r21473);
        float r21477 = cos(r21471);
        float r21478 = r21476 * r21477;
        float r21479 = exp(r21478);
        float r21480 = lambda2;
        float r21481 = cos(r21480);
        float r21482 = lambda1;
        float r21483 = cos(r21482);
        float r21484 = r21481 * r21483;
        float r21485 = sin(r21482);
        float r21486 = sin(r21480);
        float r21487 = r21485 * r21486;
        float r21488 = r21484 + r21487;
        float r21489 = pow(r21479, r21488);
        float r21490 = log(r21489);
        float r21491 = r21475 + r21490;
        float r21492 = acos(r21491);
        float r21493 = R;
        float r21494 = r21492 * r21493;
        return r21494;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21495 = phi1;
        double r21496 = sin(r21495);
        double r21497 = phi2;
        double r21498 = sin(r21497);
        double r21499 = r21496 * r21498;
        double r21500 = cos(r21497);
        double r21501 = cos(r21495);
        double r21502 = r21500 * r21501;
        double r21503 = exp(r21502);
        double r21504 = lambda2;
        double r21505 = cos(r21504);
        double r21506 = lambda1;
        double r21507 = cos(r21506);
        double r21508 = r21505 * r21507;
        double r21509 = sin(r21506);
        double r21510 = sin(r21504);
        double r21511 = r21509 * r21510;
        double r21512 = r21508 + r21511;
        double r21513 = pow(r21503, r21512);
        double r21514 = log(r21513);
        double r21515 = r21499 + r21514;
        double r21516 = acos(r21515);
        double r21517 = R;
        double r21518 = r21516 * r21517;
        return r21518;
}

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 r21519, r21520, r21521, r21522, r21523, r21524, r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534, r21535;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21519);
        mpfr_init(r21520);
        mpfr_init(r21521);
        mpfr_init(r21522);
        mpfr_init(r21523);
        mpfr_init(r21524);
        mpfr_init(r21525);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21519, phi1, MPFR_RNDN);
        mpfr_sin(r21520, r21519, MPFR_RNDN);
        mpfr_set_d(r21521, phi2, MPFR_RNDN);
        mpfr_sin(r21522, r21521, MPFR_RNDN);
        mpfr_mul(r21523, r21520, r21522, MPFR_RNDN);
        mpfr_cos(r21524, r21519, MPFR_RNDN);
        mpfr_cos(r21525, r21521, MPFR_RNDN);
        mpfr_mul(r21526, r21524, r21525, MPFR_RNDN);
        mpfr_set_d(r21527, lambda1, MPFR_RNDN);
        mpfr_set_d(r21528, lambda2, MPFR_RNDN);
        mpfr_sub(r21529, r21527, r21528, MPFR_RNDN);
        mpfr_cos(r21530, r21529, MPFR_RNDN);
        mpfr_mul(r21531, r21526, r21530, MPFR_RNDN);
        mpfr_add(r21532, r21523, r21531, MPFR_RNDN);
        mpfr_acos(r21533, r21532, MPFR_RNDN);
        mpfr_set_d(r21534, R, MPFR_RNDN);
        mpfr_mul(r21535, r21533, r21534, MPFR_RNDN);
        return mpfr_get_d(r21535, MPFR_RNDN);
}

static mpfr_t r21536, r21537, r21538, r21539, r21540, r21541, r21542, r21543, r21544, r21545, r21546, r21547, r21548, r21549, r21550, r21551, r21552, r21553, r21554, r21555, r21556, r21557, r21558, r21559;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        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(r21545);
        mpfr_init(r21546);
        mpfr_init(r21547);
        mpfr_init(r21548);
        mpfr_init(r21549);
        mpfr_init(r21550);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21536, phi1, MPFR_RNDN);
        mpfr_sin(r21537, r21536, MPFR_RNDN);
        mpfr_set_d(r21538, phi2, MPFR_RNDN);
        mpfr_sin(r21539, r21538, MPFR_RNDN);
        mpfr_mul(r21540, r21537, r21539, MPFR_RNDN);
        mpfr_cos(r21541, r21538, MPFR_RNDN);
        mpfr_cos(r21542, r21536, MPFR_RNDN);
        mpfr_mul(r21543, r21541, r21542, MPFR_RNDN);
        mpfr_exp(r21544, r21543, MPFR_RNDN);
        mpfr_set_d(r21545, lambda2, MPFR_RNDN);
        mpfr_cos(r21546, r21545, MPFR_RNDN);
        mpfr_set_d(r21547, lambda1, MPFR_RNDN);
        mpfr_cos(r21548, r21547, MPFR_RNDN);
        mpfr_mul(r21549, r21546, r21548, MPFR_RNDN);
        mpfr_sin(r21550, r21547, MPFR_RNDN);
        mpfr_sin(r21551, r21545, MPFR_RNDN);
        mpfr_mul(r21552, r21550, r21551, MPFR_RNDN);
        mpfr_add(r21553, r21549, r21552, MPFR_RNDN);
        mpfr_pow(r21554, r21544, r21553, MPFR_RNDN);
        mpfr_log(r21555, r21554, MPFR_RNDN);
        mpfr_add(r21556, r21540, r21555, MPFR_RNDN);
        mpfr_acos(r21557, r21556, MPFR_RNDN);
        mpfr_set_d(r21558, R, MPFR_RNDN);
        mpfr_mul(r21559, r21557, r21558, MPFR_RNDN);
        return mpfr_get_d(r21559, MPFR_RNDN);
}

static mpfr_t r21560, r21561, r21562, r21563, r21564, r21565, r21566, r21567, r21568, r21569, r21570, r21571, r21572, r21573, r21574, r21575, r21576, r21577, r21578, r21579, r21580, r21581, r21582, r21583;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        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(r21570);
        mpfr_init(r21571);
        mpfr_init(r21572);
        mpfr_init(r21573);
        mpfr_init(r21574);
        mpfr_init(r21575);
        mpfr_init(r21576);
        mpfr_init(r21577);
        mpfr_init(r21578);
        mpfr_init(r21579);
        mpfr_init(r21580);
        mpfr_init(r21581);
        mpfr_init(r21582);
        mpfr_init(r21583);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21560, phi1, MPFR_RNDN);
        mpfr_sin(r21561, r21560, MPFR_RNDN);
        mpfr_set_d(r21562, phi2, MPFR_RNDN);
        mpfr_sin(r21563, r21562, MPFR_RNDN);
        mpfr_mul(r21564, r21561, r21563, MPFR_RNDN);
        mpfr_cos(r21565, r21562, MPFR_RNDN);
        mpfr_cos(r21566, r21560, MPFR_RNDN);
        mpfr_mul(r21567, r21565, r21566, MPFR_RNDN);
        mpfr_exp(r21568, r21567, MPFR_RNDN);
        mpfr_set_d(r21569, lambda2, MPFR_RNDN);
        mpfr_cos(r21570, r21569, MPFR_RNDN);
        mpfr_set_d(r21571, lambda1, MPFR_RNDN);
        mpfr_cos(r21572, r21571, MPFR_RNDN);
        mpfr_mul(r21573, r21570, r21572, MPFR_RNDN);
        mpfr_sin(r21574, r21571, MPFR_RNDN);
        mpfr_sin(r21575, r21569, MPFR_RNDN);
        mpfr_mul(r21576, r21574, r21575, MPFR_RNDN);
        mpfr_add(r21577, r21573, r21576, MPFR_RNDN);
        mpfr_pow(r21578, r21568, r21577, MPFR_RNDN);
        mpfr_log(r21579, r21578, MPFR_RNDN);
        mpfr_add(r21580, r21564, r21579, MPFR_RNDN);
        mpfr_acos(r21581, r21580, MPFR_RNDN);
        mpfr_set_d(r21582, R, MPFR_RNDN);
        mpfr_mul(r21583, r21581, r21582, MPFR_RNDN);
        return mpfr_get_d(r21583, MPFR_RNDN);
}

