#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 r21466 = phi1;
        float r21467 = sin(r21466);
        float r21468 = phi2;
        float r21469 = sin(r21468);
        float r21470 = r21467 * r21469;
        float r21471 = cos(r21466);
        float r21472 = cos(r21468);
        float r21473 = r21471 * r21472;
        float r21474 = lambda1;
        float r21475 = lambda2;
        float r21476 = r21474 - r21475;
        float r21477 = cos(r21476);
        float r21478 = r21473 * r21477;
        float r21479 = r21470 + r21478;
        float r21480 = acos(r21479);
        float r21481 = R;
        float r21482 = r21480 * r21481;
        return r21482;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21483 = phi1;
        double r21484 = sin(r21483);
        double r21485 = phi2;
        double r21486 = sin(r21485);
        double r21487 = r21484 * r21486;
        double r21488 = cos(r21483);
        double r21489 = cos(r21485);
        double r21490 = r21488 * r21489;
        double r21491 = lambda1;
        double r21492 = lambda2;
        double r21493 = r21491 - r21492;
        double r21494 = cos(r21493);
        double r21495 = r21490 * r21494;
        double r21496 = r21487 + r21495;
        double r21497 = acos(r21496);
        double r21498 = R;
        double r21499 = r21497 * r21498;
        return r21499;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21500 = phi1;
        float r21501 = sin(r21500);
        float r21502 = phi2;
        float r21503 = sin(r21502);
        float r21504 = r21501 * r21503;
        float r21505 = cos(r21500);
        float r21506 = cos(r21502);
        float r21507 = r21505 * r21506;
        float r21508 = lambda1;
        float r21509 = cos(r21508);
        float r21510 = lambda2;
        float r21511 = cos(r21510);
        float r21512 = r21509 * r21511;
        float r21513 = r21507 * r21512;
        float r21514 = sin(r21508);
        float r21515 = cbrt(r21514);
        float r21516 = r21515 * r21515;
        float r21517 = sin(r21510);
        float r21518 = r21515 * r21517;
        float r21519 = r21516 * r21518;
        float r21520 = r21507 * r21519;
        float r21521 = r21513 + r21520;
        float r21522 = r21504 + r21521;
        float r21523 = acos(r21522);
        float r21524 = R;
        float r21525 = r21523 * r21524;
        return r21525;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21526 = phi1;
        double r21527 = sin(r21526);
        double r21528 = phi2;
        double r21529 = sin(r21528);
        double r21530 = r21527 * r21529;
        double r21531 = cos(r21526);
        double r21532 = cos(r21528);
        double r21533 = r21531 * r21532;
        double r21534 = lambda1;
        double r21535 = cos(r21534);
        double r21536 = lambda2;
        double r21537 = cos(r21536);
        double r21538 = r21535 * r21537;
        double r21539 = r21533 * r21538;
        double r21540 = sin(r21534);
        double r21541 = cbrt(r21540);
        double r21542 = r21541 * r21541;
        double r21543 = sin(r21536);
        double r21544 = r21541 * r21543;
        double r21545 = r21542 * r21544;
        double r21546 = r21533 * r21545;
        double r21547 = r21539 + r21546;
        double r21548 = r21530 + r21547;
        double r21549 = acos(r21548);
        double r21550 = R;
        double r21551 = r21549 * r21550;
        return r21551;
}

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 r21552, r21553, r21554, r21555, r21556, r21557, r21558, r21559, r21560, r21561, r21562, r21563, r21564, r21565, r21566, r21567, r21568;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2192);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21552, phi1, MPFR_RNDN);
        mpfr_sin(r21553, r21552, MPFR_RNDN);
        mpfr_set_d(r21554, phi2, MPFR_RNDN);
        mpfr_sin(r21555, r21554, MPFR_RNDN);
        mpfr_mul(r21556, r21553, r21555, MPFR_RNDN);
        mpfr_cos(r21557, r21552, MPFR_RNDN);
        mpfr_cos(r21558, r21554, MPFR_RNDN);
        mpfr_mul(r21559, r21557, r21558, MPFR_RNDN);
        mpfr_set_d(r21560, lambda1, MPFR_RNDN);
        mpfr_set_d(r21561, lambda2, MPFR_RNDN);
        mpfr_sub(r21562, r21560, r21561, MPFR_RNDN);
        mpfr_cos(r21563, r21562, MPFR_RNDN);
        mpfr_mul(r21564, r21559, r21563, MPFR_RNDN);
        mpfr_add(r21565, r21556, r21564, MPFR_RNDN);
        mpfr_acos(r21566, r21565, MPFR_RNDN);
        mpfr_set_d(r21567, R, MPFR_RNDN);
        mpfr_mul(r21568, r21566, r21567, MPFR_RNDN);
        return mpfr_get_d(r21568, MPFR_RNDN);
}

static mpfr_t r21569, r21570, r21571, r21572, r21573, r21574, r21575, r21576, r21577, r21578, r21579, r21580, r21581, r21582, r21583, r21584, r21585, r21586, r21587, r21588, r21589, r21590, r21591, r21592, r21593, r21594;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2192);
        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);
        mpfr_init(r21584);
        mpfr_init(r21585);
        mpfr_init(r21586);
        mpfr_init(r21587);
        mpfr_init(r21588);
        mpfr_init(r21589);
        mpfr_init(r21590);
        mpfr_init(r21591);
        mpfr_init(r21592);
        mpfr_init(r21593);
        mpfr_init(r21594);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21569, phi1, MPFR_RNDN);
        mpfr_sin(r21570, r21569, MPFR_RNDN);
        mpfr_set_d(r21571, phi2, MPFR_RNDN);
        mpfr_sin(r21572, r21571, MPFR_RNDN);
        mpfr_mul(r21573, r21570, r21572, MPFR_RNDN);
        mpfr_cos(r21574, r21569, MPFR_RNDN);
        mpfr_cos(r21575, r21571, MPFR_RNDN);
        mpfr_mul(r21576, r21574, r21575, MPFR_RNDN);
        mpfr_set_d(r21577, lambda1, MPFR_RNDN);
        mpfr_cos(r21578, r21577, MPFR_RNDN);
        mpfr_set_d(r21579, lambda2, MPFR_RNDN);
        mpfr_cos(r21580, r21579, MPFR_RNDN);
        mpfr_mul(r21581, r21578, r21580, MPFR_RNDN);
        mpfr_mul(r21582, r21576, r21581, MPFR_RNDN);
        mpfr_sin(r21583, r21577, MPFR_RNDN);
        mpfr_cbrt(r21584, r21583, MPFR_RNDN);
        mpfr_mul(r21585, r21584, r21584, MPFR_RNDN);
        mpfr_sin(r21586, r21579, MPFR_RNDN);
        mpfr_mul(r21587, r21584, r21586, MPFR_RNDN);
        mpfr_mul(r21588, r21585, r21587, MPFR_RNDN);
        mpfr_mul(r21589, r21576, r21588, MPFR_RNDN);
        mpfr_add(r21590, r21582, r21589, MPFR_RNDN);
        mpfr_add(r21591, r21573, r21590, MPFR_RNDN);
        mpfr_acos(r21592, r21591, MPFR_RNDN);
        mpfr_set_d(r21593, R, MPFR_RNDN);
        mpfr_mul(r21594, r21592, r21593, MPFR_RNDN);
        return mpfr_get_d(r21594, MPFR_RNDN);
}

static mpfr_t r21595, r21596, r21597, r21598, r21599, r21600, r21601, r21602, r21603, r21604, r21605, r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2192);
        mpfr_init(r21595);
        mpfr_init(r21596);
        mpfr_init(r21597);
        mpfr_init(r21598);
        mpfr_init(r21599);
        mpfr_init(r21600);
        mpfr_init(r21601);
        mpfr_init(r21602);
        mpfr_init(r21603);
        mpfr_init(r21604);
        mpfr_init(r21605);
        mpfr_init(r21606);
        mpfr_init(r21607);
        mpfr_init(r21608);
        mpfr_init(r21609);
        mpfr_init(r21610);
        mpfr_init(r21611);
        mpfr_init(r21612);
        mpfr_init(r21613);
        mpfr_init(r21614);
        mpfr_init(r21615);
        mpfr_init(r21616);
        mpfr_init(r21617);
        mpfr_init(r21618);
        mpfr_init(r21619);
        mpfr_init(r21620);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21595, phi1, MPFR_RNDN);
        mpfr_sin(r21596, r21595, MPFR_RNDN);
        mpfr_set_d(r21597, phi2, MPFR_RNDN);
        mpfr_sin(r21598, r21597, MPFR_RNDN);
        mpfr_mul(r21599, r21596, r21598, MPFR_RNDN);
        mpfr_cos(r21600, r21595, MPFR_RNDN);
        mpfr_cos(r21601, r21597, MPFR_RNDN);
        mpfr_mul(r21602, r21600, r21601, MPFR_RNDN);
        mpfr_set_d(r21603, lambda1, MPFR_RNDN);
        mpfr_cos(r21604, r21603, MPFR_RNDN);
        mpfr_set_d(r21605, lambda2, MPFR_RNDN);
        mpfr_cos(r21606, r21605, MPFR_RNDN);
        mpfr_mul(r21607, r21604, r21606, MPFR_RNDN);
        mpfr_mul(r21608, r21602, r21607, MPFR_RNDN);
        mpfr_sin(r21609, r21603, MPFR_RNDN);
        mpfr_cbrt(r21610, r21609, MPFR_RNDN);
        mpfr_mul(r21611, r21610, r21610, MPFR_RNDN);
        mpfr_sin(r21612, r21605, MPFR_RNDN);
        mpfr_mul(r21613, r21610, r21612, MPFR_RNDN);
        mpfr_mul(r21614, r21611, r21613, MPFR_RNDN);
        mpfr_mul(r21615, r21602, r21614, MPFR_RNDN);
        mpfr_add(r21616, r21608, r21615, MPFR_RNDN);
        mpfr_add(r21617, r21599, r21616, MPFR_RNDN);
        mpfr_acos(r21618, r21617, MPFR_RNDN);
        mpfr_set_d(r21619, R, MPFR_RNDN);
        mpfr_mul(r21620, r21618, r21619, MPFR_RNDN);
        return mpfr_get_d(r21620, MPFR_RNDN);
}