#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 r21485 = phi1;
        float r21486 = sin(r21485);
        float r21487 = phi2;
        float r21488 = sin(r21487);
        float r21489 = r21486 * r21488;
        float r21490 = cos(r21485);
        float r21491 = cos(r21487);
        float r21492 = r21490 * r21491;
        float r21493 = lambda1;
        float r21494 = lambda2;
        float r21495 = r21493 - r21494;
        float r21496 = cos(r21495);
        float r21497 = r21492 * r21496;
        float r21498 = r21489 + r21497;
        float r21499 = acos(r21498);
        float r21500 = R;
        float r21501 = r21499 * r21500;
        return r21501;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21502 = phi1;
        double r21503 = sin(r21502);
        double r21504 = phi2;
        double r21505 = sin(r21504);
        double r21506 = r21503 * r21505;
        double r21507 = cos(r21502);
        double r21508 = cos(r21504);
        double r21509 = r21507 * r21508;
        double r21510 = lambda1;
        double r21511 = lambda2;
        double r21512 = r21510 - r21511;
        double r21513 = cos(r21512);
        double r21514 = r21509 * r21513;
        double r21515 = r21506 + r21514;
        double r21516 = acos(r21515);
        double r21517 = R;
        double r21518 = r21516 * r21517;
        return r21518;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21519 = lambda2;
        float r21520 = sin(r21519);
        float r21521 = lambda1;
        float r21522 = sin(r21521);
        float r21523 = cos(r21519);
        float r21524 = cos(r21521);
        float r21525 = r21523 * r21524;
        float r21526 = fma(r21520, r21522, r21525);
        float r21527 = phi2;
        float r21528 = cos(r21527);
        float r21529 = phi1;
        float r21530 = cos(r21529);
        float r21531 = r21528 * r21530;
        float r21532 = sin(r21527);
        float r21533 = sin(r21529);
        float r21534 = r21532 * r21533;
        float r21535 = fma(r21526, r21531, r21534);
        float r21536 = acos(r21535);
        float r21537 = expm1(r21536);
        float r21538 = log1p(r21537);
        float r21539 = R;
        float r21540 = r21538 * r21539;
        return r21540;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21541 = lambda2;
        double r21542 = sin(r21541);
        double r21543 = lambda1;
        double r21544 = sin(r21543);
        double r21545 = cos(r21541);
        double r21546 = cos(r21543);
        double r21547 = r21545 * r21546;
        double r21548 = fma(r21542, r21544, r21547);
        double r21549 = phi2;
        double r21550 = cos(r21549);
        double r21551 = phi1;
        double r21552 = cos(r21551);
        double r21553 = r21550 * r21552;
        double r21554 = sin(r21549);
        double r21555 = sin(r21551);
        double r21556 = r21554 * r21555;
        double r21557 = fma(r21548, r21553, r21556);
        double r21558 = acos(r21557);
        double r21559 = expm1(r21558);
        double r21560 = log1p(r21559);
        double r21561 = R;
        double r21562 = r21560 * r21561;
        return r21562;
}

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 r21563, r21564, r21565, r21566, r21567, r21568, r21569, r21570, r21571, r21572, r21573, r21574, r21575, r21576, r21577, r21578, r21579;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(4112);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21563, phi1, MPFR_RNDN);
        mpfr_sin(r21564, r21563, MPFR_RNDN);
        mpfr_set_d(r21565, phi2, MPFR_RNDN);
        mpfr_sin(r21566, r21565, MPFR_RNDN);
        mpfr_mul(r21567, r21564, r21566, MPFR_RNDN);
        mpfr_cos(r21568, r21563, MPFR_RNDN);
        mpfr_cos(r21569, r21565, MPFR_RNDN);
        mpfr_mul(r21570, r21568, r21569, MPFR_RNDN);
        mpfr_set_d(r21571, lambda1, MPFR_RNDN);
        mpfr_set_d(r21572, lambda2, MPFR_RNDN);
        mpfr_sub(r21573, r21571, r21572, MPFR_RNDN);
        mpfr_cos(r21574, r21573, MPFR_RNDN);
        mpfr_mul(r21575, r21570, r21574, MPFR_RNDN);
        mpfr_add(r21576, r21567, r21575, MPFR_RNDN);
        mpfr_acos(r21577, r21576, MPFR_RNDN);
        mpfr_set_d(r21578, R, MPFR_RNDN);
        mpfr_mul(r21579, r21577, r21578, MPFR_RNDN);
        return mpfr_get_d(r21579, MPFR_RNDN);
}

static mpfr_t r21580, r21581, r21582, r21583, r21584, r21585, r21586, r21587, r21588, r21589, r21590, r21591, r21592, r21593, r21594, r21595, r21596, r21597, r21598, r21599, r21600, r21601;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(4112);
        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);
        mpfr_init(r21601);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21580, lambda2, MPFR_RNDN);
        mpfr_sin(r21581, r21580, MPFR_RNDN);
        mpfr_set_d(r21582, lambda1, MPFR_RNDN);
        mpfr_sin(r21583, r21582, MPFR_RNDN);
        mpfr_cos(r21584, r21580, MPFR_RNDN);
        mpfr_cos(r21585, r21582, MPFR_RNDN);
        mpfr_mul(r21586, r21584, r21585, MPFR_RNDN);
        mpfr_fma(r21587, r21581, r21583, r21586, MPFR_RNDN);
        mpfr_set_d(r21588, phi2, MPFR_RNDN);
        mpfr_cos(r21589, r21588, MPFR_RNDN);
        mpfr_set_d(r21590, phi1, MPFR_RNDN);
        mpfr_cos(r21591, r21590, MPFR_RNDN);
        mpfr_mul(r21592, r21589, r21591, MPFR_RNDN);
        mpfr_sin(r21593, r21588, MPFR_RNDN);
        mpfr_sin(r21594, r21590, MPFR_RNDN);
        mpfr_mul(r21595, r21593, r21594, MPFR_RNDN);
        mpfr_fma(r21596, r21587, r21592, r21595, MPFR_RNDN);
        mpfr_acos(r21597, r21596, MPFR_RNDN);
        mpfr_expm1(r21598, r21597, MPFR_RNDN);
        mpfr_log1p(r21599, r21598, MPFR_RNDN);
        mpfr_set_d(r21600, R, MPFR_RNDN);
        mpfr_mul(r21601, r21599, r21600, MPFR_RNDN);
        return mpfr_get_d(r21601, MPFR_RNDN);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(4112);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21602, lambda2, MPFR_RNDN);
        mpfr_sin(r21603, r21602, MPFR_RNDN);
        mpfr_set_d(r21604, lambda1, MPFR_RNDN);
        mpfr_sin(r21605, r21604, MPFR_RNDN);
        mpfr_cos(r21606, r21602, MPFR_RNDN);
        mpfr_cos(r21607, r21604, MPFR_RNDN);
        mpfr_mul(r21608, r21606, r21607, MPFR_RNDN);
        mpfr_fma(r21609, r21603, r21605, r21608, MPFR_RNDN);
        mpfr_set_d(r21610, phi2, MPFR_RNDN);
        mpfr_cos(r21611, r21610, MPFR_RNDN);
        mpfr_set_d(r21612, phi1, MPFR_RNDN);
        mpfr_cos(r21613, r21612, MPFR_RNDN);
        mpfr_mul(r21614, r21611, r21613, MPFR_RNDN);
        mpfr_sin(r21615, r21610, MPFR_RNDN);
        mpfr_sin(r21616, r21612, MPFR_RNDN);
        mpfr_mul(r21617, r21615, r21616, MPFR_RNDN);
        mpfr_fma(r21618, r21609, r21614, r21617, MPFR_RNDN);
        mpfr_acos(r21619, r21618, MPFR_RNDN);
        mpfr_expm1(r21620, r21619, MPFR_RNDN);
        mpfr_log1p(r21621, r21620, MPFR_RNDN);
        mpfr_set_d(r21622, R, MPFR_RNDN);
        mpfr_mul(r21623, r21621, r21622, MPFR_RNDN);
        return mpfr_get_d(r21623, MPFR_RNDN);
}

