#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 r21372 = phi1;
        float r21373 = sin(r21372);
        float r21374 = phi2;
        float r21375 = sin(r21374);
        float r21376 = r21373 * r21375;
        float r21377 = cos(r21372);
        float r21378 = cos(r21374);
        float r21379 = r21377 * r21378;
        float r21380 = lambda1;
        float r21381 = lambda2;
        float r21382 = r21380 - r21381;
        float r21383 = cos(r21382);
        float r21384 = r21379 * r21383;
        float r21385 = r21376 + r21384;
        float r21386 = acos(r21385);
        float r21387 = R;
        float r21388 = r21386 * r21387;
        return r21388;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21389 = phi1;
        double r21390 = sin(r21389);
        double r21391 = phi2;
        double r21392 = sin(r21391);
        double r21393 = r21390 * r21392;
        double r21394 = cos(r21389);
        double r21395 = cos(r21391);
        double r21396 = r21394 * r21395;
        double r21397 = lambda1;
        double r21398 = lambda2;
        double r21399 = r21397 - r21398;
        double r21400 = cos(r21399);
        double r21401 = r21396 * r21400;
        double r21402 = r21393 + r21401;
        double r21403 = acos(r21402);
        double r21404 = R;
        double r21405 = r21403 * r21404;
        return r21405;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21406 = phi1;
        float r21407 = sin(r21406);
        float r21408 = phi2;
        float r21409 = sin(r21408);
        float r21410 = r21407 * r21409;
        float r21411 = exp(r21410);
        float r21412 = log(r21411);
        float r21413 = cos(r21406);
        float r21414 = cos(r21408);
        float r21415 = r21413 * r21414;
        float r21416 = lambda1;
        float r21417 = cos(r21416);
        float r21418 = lambda2;
        float r21419 = cos(r21418);
        float r21420 = r21417 * r21419;
        float r21421 = sin(r21416);
        float r21422 = -r21418;
        float r21423 = sin(r21422);
        float r21424 = r21421 * r21423;
        float r21425 = r21420 - r21424;
        float r21426 = r21415 * r21425;
        float r21427 = r21412 + r21426;
        float r21428 = acos(r21427);
        float r21429 = R;
        float r21430 = r21428 * r21429;
        return r21430;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21431 = phi1;
        double r21432 = sin(r21431);
        double r21433 = phi2;
        double r21434 = sin(r21433);
        double r21435 = r21432 * r21434;
        double r21436 = exp(r21435);
        double r21437 = log(r21436);
        double r21438 = cos(r21431);
        double r21439 = cos(r21433);
        double r21440 = r21438 * r21439;
        double r21441 = lambda1;
        double r21442 = cos(r21441);
        double r21443 = lambda2;
        double r21444 = cos(r21443);
        double r21445 = r21442 * r21444;
        double r21446 = sin(r21441);
        double r21447 = -r21443;
        double r21448 = sin(r21447);
        double r21449 = r21446 * r21448;
        double r21450 = r21445 - r21449;
        double r21451 = r21440 * r21450;
        double r21452 = r21437 + r21451;
        double r21453 = acos(r21452);
        double r21454 = R;
        double r21455 = r21453 * r21454;
        return r21455;
}

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 r21456, r21457, r21458, r21459, r21460, r21461, r21462, r21463, r21464, r21465, r21466, r21467, r21468, r21469, r21470, r21471, r21472;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21456);
        mpfr_init(r21457);
        mpfr_init(r21458);
        mpfr_init(r21459);
        mpfr_init(r21460);
        mpfr_init(r21461);
        mpfr_init(r21462);
        mpfr_init(r21463);
        mpfr_init(r21464);
        mpfr_init(r21465);
        mpfr_init(r21466);
        mpfr_init(r21467);
        mpfr_init(r21468);
        mpfr_init(r21469);
        mpfr_init(r21470);
        mpfr_init(r21471);
        mpfr_init(r21472);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21456, phi1, MPFR_RNDN);
        mpfr_sin(r21457, r21456, MPFR_RNDN);
        mpfr_set_d(r21458, phi2, MPFR_RNDN);
        mpfr_sin(r21459, r21458, MPFR_RNDN);
        mpfr_mul(r21460, r21457, r21459, MPFR_RNDN);
        mpfr_cos(r21461, r21456, MPFR_RNDN);
        mpfr_cos(r21462, r21458, MPFR_RNDN);
        mpfr_mul(r21463, r21461, r21462, MPFR_RNDN);
        mpfr_set_d(r21464, lambda1, MPFR_RNDN);
        mpfr_set_d(r21465, lambda2, MPFR_RNDN);
        mpfr_sub(r21466, r21464, r21465, MPFR_RNDN);
        mpfr_cos(r21467, r21466, MPFR_RNDN);
        mpfr_mul(r21468, r21463, r21467, MPFR_RNDN);
        mpfr_add(r21469, r21460, r21468, MPFR_RNDN);
        mpfr_acos(r21470, r21469, MPFR_RNDN);
        mpfr_set_d(r21471, R, MPFR_RNDN);
        mpfr_mul(r21472, r21470, r21471, MPFR_RNDN);
        return mpfr_get_d(r21472, MPFR_RNDN);
}

static mpfr_t r21473, r21474, r21475, r21476, r21477, r21478, r21479, r21480, r21481, r21482, r21483, r21484, r21485, r21486, r21487, r21488, r21489, r21490, r21491, r21492, r21493, r21494, r21495, r21496, r21497;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21473);
        mpfr_init(r21474);
        mpfr_init(r21475);
        mpfr_init(r21476);
        mpfr_init(r21477);
        mpfr_init(r21478);
        mpfr_init(r21479);
        mpfr_init(r21480);
        mpfr_init(r21481);
        mpfr_init(r21482);
        mpfr_init(r21483);
        mpfr_init(r21484);
        mpfr_init(r21485);
        mpfr_init(r21486);
        mpfr_init(r21487);
        mpfr_init(r21488);
        mpfr_init(r21489);
        mpfr_init(r21490);
        mpfr_init(r21491);
        mpfr_init(r21492);
        mpfr_init(r21493);
        mpfr_init(r21494);
        mpfr_init(r21495);
        mpfr_init(r21496);
        mpfr_init(r21497);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21473, phi1, MPFR_RNDN);
        mpfr_sin(r21474, r21473, MPFR_RNDN);
        mpfr_set_d(r21475, phi2, MPFR_RNDN);
        mpfr_sin(r21476, r21475, MPFR_RNDN);
        mpfr_mul(r21477, r21474, r21476, MPFR_RNDN);
        mpfr_exp(r21478, r21477, MPFR_RNDN);
        mpfr_log(r21479, r21478, MPFR_RNDN);
        mpfr_cos(r21480, r21473, MPFR_RNDN);
        mpfr_cos(r21481, r21475, MPFR_RNDN);
        mpfr_mul(r21482, r21480, r21481, MPFR_RNDN);
        mpfr_set_d(r21483, lambda1, MPFR_RNDN);
        mpfr_cos(r21484, r21483, MPFR_RNDN);
        mpfr_set_d(r21485, lambda2, MPFR_RNDN);
        mpfr_cos(r21486, r21485, MPFR_RNDN);
        mpfr_mul(r21487, r21484, r21486, MPFR_RNDN);
        mpfr_sin(r21488, r21483, MPFR_RNDN);
        mpfr_neg(r21489, r21485, MPFR_RNDN);
        mpfr_sin(r21490, r21489, MPFR_RNDN);
        mpfr_mul(r21491, r21488, r21490, MPFR_RNDN);
        mpfr_sub(r21492, r21487, r21491, MPFR_RNDN);
        mpfr_mul(r21493, r21482, r21492, MPFR_RNDN);
        mpfr_add(r21494, r21479, r21493, MPFR_RNDN);
        mpfr_acos(r21495, r21494, MPFR_RNDN);
        mpfr_set_d(r21496, R, MPFR_RNDN);
        mpfr_mul(r21497, r21495, r21496, MPFR_RNDN);
        return mpfr_get_d(r21497, MPFR_RNDN);
}

static mpfr_t r21498, r21499, r21500, r21501, r21502, r21503, r21504, r21505, r21506, r21507, r21508, r21509, r21510, r21511, r21512, r21513, r21514, r21515, r21516, r21517, r21518, r21519, r21520, r21521, r21522;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21498);
        mpfr_init(r21499);
        mpfr_init(r21500);
        mpfr_init(r21501);
        mpfr_init(r21502);
        mpfr_init(r21503);
        mpfr_init(r21504);
        mpfr_init(r21505);
        mpfr_init(r21506);
        mpfr_init(r21507);
        mpfr_init(r21508);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21498, phi1, MPFR_RNDN);
        mpfr_sin(r21499, r21498, MPFR_RNDN);
        mpfr_set_d(r21500, phi2, MPFR_RNDN);
        mpfr_sin(r21501, r21500, MPFR_RNDN);
        mpfr_mul(r21502, r21499, r21501, MPFR_RNDN);
        mpfr_exp(r21503, r21502, MPFR_RNDN);
        mpfr_log(r21504, r21503, MPFR_RNDN);
        mpfr_cos(r21505, r21498, MPFR_RNDN);
        mpfr_cos(r21506, r21500, MPFR_RNDN);
        mpfr_mul(r21507, r21505, r21506, MPFR_RNDN);
        mpfr_set_d(r21508, lambda1, MPFR_RNDN);
        mpfr_cos(r21509, r21508, MPFR_RNDN);
        mpfr_set_d(r21510, lambda2, MPFR_RNDN);
        mpfr_cos(r21511, r21510, MPFR_RNDN);
        mpfr_mul(r21512, r21509, r21511, MPFR_RNDN);
        mpfr_sin(r21513, r21508, MPFR_RNDN);
        mpfr_neg(r21514, r21510, MPFR_RNDN);
        mpfr_sin(r21515, r21514, MPFR_RNDN);
        mpfr_mul(r21516, r21513, r21515, MPFR_RNDN);
        mpfr_sub(r21517, r21512, r21516, MPFR_RNDN);
        mpfr_mul(r21518, r21507, r21517, MPFR_RNDN);
        mpfr_add(r21519, r21504, r21518, MPFR_RNDN);
        mpfr_acos(r21520, r21519, MPFR_RNDN);
        mpfr_set_d(r21521, R, MPFR_RNDN);
        mpfr_mul(r21522, r21520, r21521, MPFR_RNDN);
        return mpfr_get_d(r21522, MPFR_RNDN);
}