#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 r20657 = phi1;
        float r20658 = sin(r20657);
        float r20659 = phi2;
        float r20660 = sin(r20659);
        float r20661 = r20658 * r20660;
        float r20662 = cos(r20657);
        float r20663 = cos(r20659);
        float r20664 = r20662 * r20663;
        float r20665 = lambda1;
        float r20666 = lambda2;
        float r20667 = r20665 - r20666;
        float r20668 = cos(r20667);
        float r20669 = r20664 * r20668;
        float r20670 = r20661 + r20669;
        float r20671 = acos(r20670);
        float r20672 = R;
        float r20673 = r20671 * r20672;
        return r20673;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20674 = phi1;
        double r20675 = sin(r20674);
        double r20676 = phi2;
        double r20677 = sin(r20676);
        double r20678 = r20675 * r20677;
        double r20679 = cos(r20674);
        double r20680 = cos(r20676);
        double r20681 = r20679 * r20680;
        double r20682 = lambda1;
        double r20683 = lambda2;
        double r20684 = r20682 - r20683;
        double r20685 = cos(r20684);
        double r20686 = r20681 * r20685;
        double r20687 = r20678 + r20686;
        double r20688 = acos(r20687);
        double r20689 = R;
        double r20690 = r20688 * r20689;
        return r20690;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r20691 = phi1;
        float r20692 = sin(r20691);
        float r20693 = phi2;
        float r20694 = sin(r20693);
        float r20695 = r20692 * r20694;
        float r20696 = exp(r20695);
        float r20697 = log(r20696);
        float r20698 = cos(r20691);
        float r20699 = cos(r20693);
        float r20700 = r20698 * r20699;
        float r20701 = lambda1;
        float r20702 = cos(r20701);
        float r20703 = lambda2;
        float r20704 = cos(r20703);
        float r20705 = r20702 * r20704;
        float r20706 = sin(r20701);
        float r20707 = -r20703;
        float r20708 = sin(r20707);
        float r20709 = r20706 * r20708;
        float r20710 = r20705 - r20709;
        float r20711 = r20700 * r20710;
        float r20712 = r20697 + r20711;
        float r20713 = acos(r20712);
        float r20714 = R;
        float r20715 = r20713 * r20714;
        return r20715;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20716 = phi1;
        double r20717 = sin(r20716);
        double r20718 = phi2;
        double r20719 = sin(r20718);
        double r20720 = r20717 * r20719;
        double r20721 = exp(r20720);
        double r20722 = log(r20721);
        double r20723 = cos(r20716);
        double r20724 = cos(r20718);
        double r20725 = r20723 * r20724;
        double r20726 = lambda1;
        double r20727 = cos(r20726);
        double r20728 = lambda2;
        double r20729 = cos(r20728);
        double r20730 = r20727 * r20729;
        double r20731 = sin(r20726);
        double r20732 = -r20728;
        double r20733 = sin(r20732);
        double r20734 = r20731 * r20733;
        double r20735 = r20730 - r20734;
        double r20736 = r20725 * r20735;
        double r20737 = r20722 + r20736;
        double r20738 = acos(r20737);
        double r20739 = R;
        double r20740 = r20738 * r20739;
        return r20740;
}

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 r20741, r20742, r20743, r20744, r20745, r20746, r20747, r20748, r20749, r20750, r20751, r20752, r20753, r20754, r20755, r20756, r20757;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20741);
        mpfr_init(r20742);
        mpfr_init(r20743);
        mpfr_init(r20744);
        mpfr_init(r20745);
        mpfr_init(r20746);
        mpfr_init(r20747);
        mpfr_init(r20748);
        mpfr_init(r20749);
        mpfr_init(r20750);
        mpfr_init(r20751);
        mpfr_init(r20752);
        mpfr_init(r20753);
        mpfr_init(r20754);
        mpfr_init(r20755);
        mpfr_init(r20756);
        mpfr_init(r20757);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20741, phi1, MPFR_RNDN);
        mpfr_sin(r20742, r20741, MPFR_RNDN);
        mpfr_set_d(r20743, phi2, MPFR_RNDN);
        mpfr_sin(r20744, r20743, MPFR_RNDN);
        mpfr_mul(r20745, r20742, r20744, MPFR_RNDN);
        mpfr_cos(r20746, r20741, MPFR_RNDN);
        mpfr_cos(r20747, r20743, MPFR_RNDN);
        mpfr_mul(r20748, r20746, r20747, MPFR_RNDN);
        mpfr_set_d(r20749, lambda1, MPFR_RNDN);
        mpfr_set_d(r20750, lambda2, MPFR_RNDN);
        mpfr_sub(r20751, r20749, r20750, MPFR_RNDN);
        mpfr_cos(r20752, r20751, MPFR_RNDN);
        mpfr_mul(r20753, r20748, r20752, MPFR_RNDN);
        mpfr_add(r20754, r20745, r20753, MPFR_RNDN);
        mpfr_acos(r20755, r20754, MPFR_RNDN);
        mpfr_set_d(r20756, R, MPFR_RNDN);
        mpfr_mul(r20757, r20755, r20756, MPFR_RNDN);
        return mpfr_get_d(r20757, MPFR_RNDN);
}

static mpfr_t r20758, r20759, r20760, r20761, r20762, r20763, r20764, r20765, r20766, r20767, r20768, r20769, r20770, r20771, r20772, r20773, r20774, r20775, r20776, r20777, r20778, r20779, r20780, r20781, r20782;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20758);
        mpfr_init(r20759);
        mpfr_init(r20760);
        mpfr_init(r20761);
        mpfr_init(r20762);
        mpfr_init(r20763);
        mpfr_init(r20764);
        mpfr_init(r20765);
        mpfr_init(r20766);
        mpfr_init(r20767);
        mpfr_init(r20768);
        mpfr_init(r20769);
        mpfr_init(r20770);
        mpfr_init(r20771);
        mpfr_init(r20772);
        mpfr_init(r20773);
        mpfr_init(r20774);
        mpfr_init(r20775);
        mpfr_init(r20776);
        mpfr_init(r20777);
        mpfr_init(r20778);
        mpfr_init(r20779);
        mpfr_init(r20780);
        mpfr_init(r20781);
        mpfr_init(r20782);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20758, phi1, MPFR_RNDN);
        mpfr_sin(r20759, r20758, MPFR_RNDN);
        mpfr_set_d(r20760, phi2, MPFR_RNDN);
        mpfr_sin(r20761, r20760, MPFR_RNDN);
        mpfr_mul(r20762, r20759, r20761, MPFR_RNDN);
        mpfr_exp(r20763, r20762, MPFR_RNDN);
        mpfr_log(r20764, r20763, MPFR_RNDN);
        mpfr_cos(r20765, r20758, MPFR_RNDN);
        mpfr_cos(r20766, r20760, MPFR_RNDN);
        mpfr_mul(r20767, r20765, r20766, MPFR_RNDN);
        mpfr_set_d(r20768, lambda1, MPFR_RNDN);
        mpfr_cos(r20769, r20768, MPFR_RNDN);
        mpfr_set_d(r20770, lambda2, MPFR_RNDN);
        mpfr_cos(r20771, r20770, MPFR_RNDN);
        mpfr_mul(r20772, r20769, r20771, MPFR_RNDN);
        mpfr_sin(r20773, r20768, MPFR_RNDN);
        mpfr_neg(r20774, r20770, MPFR_RNDN);
        mpfr_sin(r20775, r20774, MPFR_RNDN);
        mpfr_mul(r20776, r20773, r20775, MPFR_RNDN);
        mpfr_sub(r20777, r20772, r20776, MPFR_RNDN);
        mpfr_mul(r20778, r20767, r20777, MPFR_RNDN);
        mpfr_add(r20779, r20764, r20778, MPFR_RNDN);
        mpfr_acos(r20780, r20779, MPFR_RNDN);
        mpfr_set_d(r20781, R, MPFR_RNDN);
        mpfr_mul(r20782, r20780, r20781, MPFR_RNDN);
        return mpfr_get_d(r20782, MPFR_RNDN);
}

static mpfr_t r20783, r20784, r20785, r20786, r20787, r20788, r20789, r20790, r20791, r20792, r20793, r20794, r20795, r20796, r20797, r20798, r20799, r20800, r20801, r20802, r20803, r20804, r20805, r20806, r20807;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20783);
        mpfr_init(r20784);
        mpfr_init(r20785);
        mpfr_init(r20786);
        mpfr_init(r20787);
        mpfr_init(r20788);
        mpfr_init(r20789);
        mpfr_init(r20790);
        mpfr_init(r20791);
        mpfr_init(r20792);
        mpfr_init(r20793);
        mpfr_init(r20794);
        mpfr_init(r20795);
        mpfr_init(r20796);
        mpfr_init(r20797);
        mpfr_init(r20798);
        mpfr_init(r20799);
        mpfr_init(r20800);
        mpfr_init(r20801);
        mpfr_init(r20802);
        mpfr_init(r20803);
        mpfr_init(r20804);
        mpfr_init(r20805);
        mpfr_init(r20806);
        mpfr_init(r20807);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20783, phi1, MPFR_RNDN);
        mpfr_sin(r20784, r20783, MPFR_RNDN);
        mpfr_set_d(r20785, phi2, MPFR_RNDN);
        mpfr_sin(r20786, r20785, MPFR_RNDN);
        mpfr_mul(r20787, r20784, r20786, MPFR_RNDN);
        mpfr_exp(r20788, r20787, MPFR_RNDN);
        mpfr_log(r20789, r20788, MPFR_RNDN);
        mpfr_cos(r20790, r20783, MPFR_RNDN);
        mpfr_cos(r20791, r20785, MPFR_RNDN);
        mpfr_mul(r20792, r20790, r20791, MPFR_RNDN);
        mpfr_set_d(r20793, lambda1, MPFR_RNDN);
        mpfr_cos(r20794, r20793, MPFR_RNDN);
        mpfr_set_d(r20795, lambda2, MPFR_RNDN);
        mpfr_cos(r20796, r20795, MPFR_RNDN);
        mpfr_mul(r20797, r20794, r20796, MPFR_RNDN);
        mpfr_sin(r20798, r20793, MPFR_RNDN);
        mpfr_neg(r20799, r20795, MPFR_RNDN);
        mpfr_sin(r20800, r20799, MPFR_RNDN);
        mpfr_mul(r20801, r20798, r20800, MPFR_RNDN);
        mpfr_sub(r20802, r20797, r20801, MPFR_RNDN);
        mpfr_mul(r20803, r20792, r20802, MPFR_RNDN);
        mpfr_add(r20804, r20789, r20803, MPFR_RNDN);
        mpfr_acos(r20805, r20804, MPFR_RNDN);
        mpfr_set_d(r20806, R, MPFR_RNDN);
        mpfr_mul(r20807, r20805, r20806, MPFR_RNDN);
        return mpfr_get_d(r20807, MPFR_RNDN);
}