#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 r21472 = phi1;
        float r21473 = sin(r21472);
        float r21474 = phi2;
        float r21475 = sin(r21474);
        float r21476 = r21473 * r21475;
        float r21477 = cos(r21472);
        float r21478 = cos(r21474);
        float r21479 = r21477 * r21478;
        float r21480 = lambda1;
        float r21481 = lambda2;
        float r21482 = r21480 - r21481;
        float r21483 = cos(r21482);
        float r21484 = r21479 * r21483;
        float r21485 = r21476 + r21484;
        float r21486 = acos(r21485);
        float r21487 = R;
        float r21488 = r21486 * r21487;
        return r21488;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21489 = phi1;
        double r21490 = sin(r21489);
        double r21491 = phi2;
        double r21492 = sin(r21491);
        double r21493 = r21490 * r21492;
        double r21494 = cos(r21489);
        double r21495 = cos(r21491);
        double r21496 = r21494 * r21495;
        double r21497 = lambda1;
        double r21498 = lambda2;
        double r21499 = r21497 - r21498;
        double r21500 = cos(r21499);
        double r21501 = r21496 * r21500;
        double r21502 = r21493 + r21501;
        double r21503 = acos(r21502);
        double r21504 = R;
        double r21505 = r21503 * r21504;
        return r21505;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21506 = phi1;
        float r21507 = sin(r21506);
        float r21508 = phi2;
        float r21509 = sin(r21508);
        float r21510 = r21507 * r21509;
        float r21511 = cos(r21506);
        float r21512 = cos(r21508);
        float r21513 = r21511 * r21512;
        float r21514 = lambda1;
        float r21515 = cos(r21514);
        float r21516 = lambda2;
        float r21517 = cos(r21516);
        float r21518 = r21515 * r21517;
        float r21519 = sin(r21514);
        float r21520 = -r21516;
        float r21521 = sin(r21520);
        float r21522 = cbrt(r21521);
        float r21523 = r21522 * r21522;
        float r21524 = r21519 * r21523;
        float r21525 = r21524 * r21522;
        float r21526 = r21518 - r21525;
        float r21527 = r21513 * r21526;
        float r21528 = r21510 + r21527;
        float r21529 = acos(r21528);
        float r21530 = R;
        float r21531 = r21529 * r21530;
        return r21531;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21532 = phi1;
        double r21533 = sin(r21532);
        double r21534 = phi2;
        double r21535 = sin(r21534);
        double r21536 = r21533 * r21535;
        double r21537 = cos(r21532);
        double r21538 = cos(r21534);
        double r21539 = r21537 * r21538;
        double r21540 = lambda1;
        double r21541 = cos(r21540);
        double r21542 = lambda2;
        double r21543 = cos(r21542);
        double r21544 = r21541 * r21543;
        double r21545 = sin(r21540);
        double r21546 = -r21542;
        double r21547 = sin(r21546);
        double r21548 = cbrt(r21547);
        double r21549 = r21548 * r21548;
        double r21550 = r21545 * r21549;
        double r21551 = r21550 * r21548;
        double r21552 = r21544 - r21551;
        double r21553 = r21539 * r21552;
        double r21554 = r21536 + r21553;
        double r21555 = acos(r21554);
        double r21556 = R;
        double r21557 = r21555 * r21556;
        return r21557;
}

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 r21558, r21559, r21560, r21561, r21562, r21563, r21564, r21565, r21566, r21567, r21568, r21569, r21570, r21571, r21572, r21573, r21574;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        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(r21570);
        mpfr_init(r21571);
        mpfr_init(r21572);
        mpfr_init(r21573);
        mpfr_init(r21574);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21558, phi1, MPFR_RNDN);
        mpfr_sin(r21559, r21558, MPFR_RNDN);
        mpfr_set_d(r21560, phi2, MPFR_RNDN);
        mpfr_sin(r21561, r21560, MPFR_RNDN);
        mpfr_mul(r21562, r21559, r21561, MPFR_RNDN);
        mpfr_cos(r21563, r21558, MPFR_RNDN);
        mpfr_cos(r21564, r21560, MPFR_RNDN);
        mpfr_mul(r21565, r21563, r21564, MPFR_RNDN);
        mpfr_set_d(r21566, lambda1, MPFR_RNDN);
        mpfr_set_d(r21567, lambda2, MPFR_RNDN);
        mpfr_sub(r21568, r21566, r21567, MPFR_RNDN);
        mpfr_cos(r21569, r21568, MPFR_RNDN);
        mpfr_mul(r21570, r21565, r21569, MPFR_RNDN);
        mpfr_add(r21571, r21562, r21570, MPFR_RNDN);
        mpfr_acos(r21572, r21571, MPFR_RNDN);
        mpfr_set_d(r21573, R, MPFR_RNDN);
        mpfr_mul(r21574, r21572, r21573, MPFR_RNDN);
        return mpfr_get_d(r21574, MPFR_RNDN);
}

static mpfr_t r21575, r21576, r21577, r21578, r21579, r21580, r21581, r21582, r21583, r21584, r21585, r21586, r21587, r21588, r21589, r21590, r21591, r21592, r21593, r21594, r21595, r21596, r21597, r21598, r21599, r21600;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        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);
        mpfr_init(r21595);
        mpfr_init(r21596);
        mpfr_init(r21597);
        mpfr_init(r21598);
        mpfr_init(r21599);
        mpfr_init(r21600);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21575, phi1, MPFR_RNDN);
        mpfr_sin(r21576, r21575, MPFR_RNDN);
        mpfr_set_d(r21577, phi2, MPFR_RNDN);
        mpfr_sin(r21578, r21577, MPFR_RNDN);
        mpfr_mul(r21579, r21576, r21578, MPFR_RNDN);
        mpfr_cos(r21580, r21575, MPFR_RNDN);
        mpfr_cos(r21581, r21577, MPFR_RNDN);
        mpfr_mul(r21582, r21580, r21581, MPFR_RNDN);
        mpfr_set_d(r21583, lambda1, MPFR_RNDN);
        mpfr_cos(r21584, r21583, MPFR_RNDN);
        mpfr_set_d(r21585, lambda2, MPFR_RNDN);
        mpfr_cos(r21586, r21585, MPFR_RNDN);
        mpfr_mul(r21587, r21584, r21586, MPFR_RNDN);
        mpfr_sin(r21588, r21583, MPFR_RNDN);
        mpfr_neg(r21589, r21585, MPFR_RNDN);
        mpfr_sin(r21590, r21589, MPFR_RNDN);
        mpfr_cbrt(r21591, r21590, MPFR_RNDN);
        mpfr_mul(r21592, r21591, r21591, MPFR_RNDN);
        mpfr_mul(r21593, r21588, r21592, MPFR_RNDN);
        mpfr_mul(r21594, r21593, r21591, MPFR_RNDN);
        mpfr_sub(r21595, r21587, r21594, MPFR_RNDN);
        mpfr_mul(r21596, r21582, r21595, MPFR_RNDN);
        mpfr_add(r21597, r21579, r21596, MPFR_RNDN);
        mpfr_acos(r21598, r21597, MPFR_RNDN);
        mpfr_set_d(r21599, R, MPFR_RNDN);
        mpfr_mul(r21600, r21598, r21599, MPFR_RNDN);
        return mpfr_get_d(r21600, MPFR_RNDN);
}

static mpfr_t r21601, r21602, r21603, r21604, r21605, r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625, r21626;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        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);
        mpfr_init(r21621);
        mpfr_init(r21622);
        mpfr_init(r21623);
        mpfr_init(r21624);
        mpfr_init(r21625);
        mpfr_init(r21626);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21601, phi1, MPFR_RNDN);
        mpfr_sin(r21602, r21601, MPFR_RNDN);
        mpfr_set_d(r21603, phi2, MPFR_RNDN);
        mpfr_sin(r21604, r21603, MPFR_RNDN);
        mpfr_mul(r21605, r21602, r21604, MPFR_RNDN);
        mpfr_cos(r21606, r21601, MPFR_RNDN);
        mpfr_cos(r21607, r21603, MPFR_RNDN);
        mpfr_mul(r21608, r21606, r21607, MPFR_RNDN);
        mpfr_set_d(r21609, lambda1, MPFR_RNDN);
        mpfr_cos(r21610, r21609, MPFR_RNDN);
        mpfr_set_d(r21611, lambda2, MPFR_RNDN);
        mpfr_cos(r21612, r21611, MPFR_RNDN);
        mpfr_mul(r21613, r21610, r21612, MPFR_RNDN);
        mpfr_sin(r21614, r21609, MPFR_RNDN);
        mpfr_neg(r21615, r21611, MPFR_RNDN);
        mpfr_sin(r21616, r21615, MPFR_RNDN);
        mpfr_cbrt(r21617, r21616, MPFR_RNDN);
        mpfr_mul(r21618, r21617, r21617, MPFR_RNDN);
        mpfr_mul(r21619, r21614, r21618, MPFR_RNDN);
        mpfr_mul(r21620, r21619, r21617, MPFR_RNDN);
        mpfr_sub(r21621, r21613, r21620, MPFR_RNDN);
        mpfr_mul(r21622, r21608, r21621, MPFR_RNDN);
        mpfr_add(r21623, r21605, r21622, MPFR_RNDN);
        mpfr_acos(r21624, r21623, MPFR_RNDN);
        mpfr_set_d(r21625, R, MPFR_RNDN);
        mpfr_mul(r21626, r21624, r21625, MPFR_RNDN);
        return mpfr_get_d(r21626, MPFR_RNDN);
}