#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 r7963 = phi1;
        float r7964 = sin(r7963);
        float r7965 = phi2;
        float r7966 = sin(r7965);
        float r7967 = r7964 * r7966;
        float r7968 = cos(r7963);
        float r7969 = cos(r7965);
        float r7970 = r7968 * r7969;
        float r7971 = lambda1;
        float r7972 = lambda2;
        float r7973 = r7971 - r7972;
        float r7974 = cos(r7973);
        float r7975 = r7970 * r7974;
        float r7976 = r7967 + r7975;
        float r7977 = acos(r7976);
        float r7978 = R;
        float r7979 = r7977 * r7978;
        return r7979;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r7980 = phi1;
        double r7981 = sin(r7980);
        double r7982 = phi2;
        double r7983 = sin(r7982);
        double r7984 = r7981 * r7983;
        double r7985 = cos(r7980);
        double r7986 = cos(r7982);
        double r7987 = r7985 * r7986;
        double r7988 = lambda1;
        double r7989 = lambda2;
        double r7990 = r7988 - r7989;
        double r7991 = cos(r7990);
        double r7992 = r7987 * r7991;
        double r7993 = r7984 + r7992;
        double r7994 = acos(r7993);
        double r7995 = R;
        double r7996 = r7994 * r7995;
        return r7996;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r7997 = phi1;
        float r7998 = sin(r7997);
        float r7999 = phi2;
        float r8000 = sin(r7999);
        float r8001 = r7998 * r8000;
        float r8002 = cos(r7997);
        float r8003 = cos(r7999);
        float r8004 = r8002 * r8003;
        float r8005 = lambda1;
        float r8006 = cos(r8005);
        float r8007 = lambda2;
        float r8008 = cos(r8007);
        float r8009 = r8006 * r8008;
        float r8010 = sin(r8005);
        float r8011 = -r8007;
        float r8012 = sin(r8011);
        float r8013 = r8010 * r8012;
        float r8014 = r8009 - r8013;
        float r8015 = r8004 * r8014;
        float r8016 = r8001 + r8015;
        float r8017 = acos(r8016);
        float r8018 = R;
        float r8019 = r8017 * r8018;
        return r8019;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r8020 = phi1;
        double r8021 = sin(r8020);
        double r8022 = phi2;
        double r8023 = sin(r8022);
        double r8024 = r8021 * r8023;
        double r8025 = cos(r8020);
        double r8026 = cos(r8022);
        double r8027 = r8025 * r8026;
        double r8028 = lambda1;
        double r8029 = cos(r8028);
        double r8030 = lambda2;
        double r8031 = cos(r8030);
        double r8032 = r8029 * r8031;
        double r8033 = sin(r8028);
        double r8034 = -r8030;
        double r8035 = sin(r8034);
        double r8036 = r8033 * r8035;
        double r8037 = r8032 - r8036;
        double r8038 = r8027 * r8037;
        double r8039 = r8024 + r8038;
        double r8040 = acos(r8039);
        double r8041 = R;
        double r8042 = r8040 * r8041;
        return r8042;
}

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 r8043, r8044, r8045, r8046, r8047, r8048, r8049, r8050, r8051, r8052, r8053, r8054, r8055, r8056, r8057, r8058, r8059;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1872);
        mpfr_init(r8043);
        mpfr_init(r8044);
        mpfr_init(r8045);
        mpfr_init(r8046);
        mpfr_init(r8047);
        mpfr_init(r8048);
        mpfr_init(r8049);
        mpfr_init(r8050);
        mpfr_init(r8051);
        mpfr_init(r8052);
        mpfr_init(r8053);
        mpfr_init(r8054);
        mpfr_init(r8055);
        mpfr_init(r8056);
        mpfr_init(r8057);
        mpfr_init(r8058);
        mpfr_init(r8059);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r8043, phi1, MPFR_RNDN);
        mpfr_sin(r8044, r8043, MPFR_RNDN);
        mpfr_set_d(r8045, phi2, MPFR_RNDN);
        mpfr_sin(r8046, r8045, MPFR_RNDN);
        mpfr_mul(r8047, r8044, r8046, MPFR_RNDN);
        mpfr_cos(r8048, r8043, MPFR_RNDN);
        mpfr_cos(r8049, r8045, MPFR_RNDN);
        mpfr_mul(r8050, r8048, r8049, MPFR_RNDN);
        mpfr_set_d(r8051, lambda1, MPFR_RNDN);
        mpfr_set_d(r8052, lambda2, MPFR_RNDN);
        mpfr_sub(r8053, r8051, r8052, MPFR_RNDN);
        mpfr_cos(r8054, r8053, MPFR_RNDN);
        mpfr_mul(r8055, r8050, r8054, MPFR_RNDN);
        mpfr_add(r8056, r8047, r8055, MPFR_RNDN);
        mpfr_acos(r8057, r8056, MPFR_RNDN);
        mpfr_set_d(r8058, R, MPFR_RNDN);
        mpfr_mul(r8059, r8057, r8058, MPFR_RNDN);
        return mpfr_get_d(r8059, MPFR_RNDN);
}

static mpfr_t r8060, r8061, r8062, r8063, r8064, r8065, r8066, r8067, r8068, r8069, r8070, r8071, r8072, r8073, r8074, r8075, r8076, r8077, r8078, r8079, r8080, r8081, r8082;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1872);
        mpfr_init(r8060);
        mpfr_init(r8061);
        mpfr_init(r8062);
        mpfr_init(r8063);
        mpfr_init(r8064);
        mpfr_init(r8065);
        mpfr_init(r8066);
        mpfr_init(r8067);
        mpfr_init(r8068);
        mpfr_init(r8069);
        mpfr_init(r8070);
        mpfr_init(r8071);
        mpfr_init(r8072);
        mpfr_init(r8073);
        mpfr_init(r8074);
        mpfr_init(r8075);
        mpfr_init(r8076);
        mpfr_init(r8077);
        mpfr_init(r8078);
        mpfr_init(r8079);
        mpfr_init(r8080);
        mpfr_init(r8081);
        mpfr_init(r8082);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r8060, phi1, MPFR_RNDN);
        mpfr_sin(r8061, r8060, MPFR_RNDN);
        mpfr_set_d(r8062, phi2, MPFR_RNDN);
        mpfr_sin(r8063, r8062, MPFR_RNDN);
        mpfr_mul(r8064, r8061, r8063, MPFR_RNDN);
        mpfr_cos(r8065, r8060, MPFR_RNDN);
        mpfr_cos(r8066, r8062, MPFR_RNDN);
        mpfr_mul(r8067, r8065, r8066, MPFR_RNDN);
        mpfr_set_d(r8068, lambda1, MPFR_RNDN);
        mpfr_cos(r8069, r8068, MPFR_RNDN);
        mpfr_set_d(r8070, lambda2, MPFR_RNDN);
        mpfr_cos(r8071, r8070, MPFR_RNDN);
        mpfr_mul(r8072, r8069, r8071, MPFR_RNDN);
        mpfr_sin(r8073, r8068, MPFR_RNDN);
        mpfr_neg(r8074, r8070, MPFR_RNDN);
        mpfr_sin(r8075, r8074, MPFR_RNDN);
        mpfr_mul(r8076, r8073, r8075, MPFR_RNDN);
        mpfr_sub(r8077, r8072, r8076, MPFR_RNDN);
        mpfr_mul(r8078, r8067, r8077, MPFR_RNDN);
        mpfr_add(r8079, r8064, r8078, MPFR_RNDN);
        mpfr_acos(r8080, r8079, MPFR_RNDN);
        mpfr_set_d(r8081, R, MPFR_RNDN);
        mpfr_mul(r8082, r8080, r8081, MPFR_RNDN);
        return mpfr_get_d(r8082, MPFR_RNDN);
}

static mpfr_t r8083, r8084, r8085, r8086, r8087, r8088, r8089, r8090, r8091, r8092, r8093, r8094, r8095, r8096, r8097, r8098, r8099, r8100, r8101, r8102, r8103, r8104, r8105;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1872);
        mpfr_init(r8083);
        mpfr_init(r8084);
        mpfr_init(r8085);
        mpfr_init(r8086);
        mpfr_init(r8087);
        mpfr_init(r8088);
        mpfr_init(r8089);
        mpfr_init(r8090);
        mpfr_init(r8091);
        mpfr_init(r8092);
        mpfr_init(r8093);
        mpfr_init(r8094);
        mpfr_init(r8095);
        mpfr_init(r8096);
        mpfr_init(r8097);
        mpfr_init(r8098);
        mpfr_init(r8099);
        mpfr_init(r8100);
        mpfr_init(r8101);
        mpfr_init(r8102);
        mpfr_init(r8103);
        mpfr_init(r8104);
        mpfr_init(r8105);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r8083, phi1, MPFR_RNDN);
        mpfr_sin(r8084, r8083, MPFR_RNDN);
        mpfr_set_d(r8085, phi2, MPFR_RNDN);
        mpfr_sin(r8086, r8085, MPFR_RNDN);
        mpfr_mul(r8087, r8084, r8086, MPFR_RNDN);
        mpfr_cos(r8088, r8083, MPFR_RNDN);
        mpfr_cos(r8089, r8085, MPFR_RNDN);
        mpfr_mul(r8090, r8088, r8089, MPFR_RNDN);
        mpfr_set_d(r8091, lambda1, MPFR_RNDN);
        mpfr_cos(r8092, r8091, MPFR_RNDN);
        mpfr_set_d(r8093, lambda2, MPFR_RNDN);
        mpfr_cos(r8094, r8093, MPFR_RNDN);
        mpfr_mul(r8095, r8092, r8094, MPFR_RNDN);
        mpfr_sin(r8096, r8091, MPFR_RNDN);
        mpfr_neg(r8097, r8093, MPFR_RNDN);
        mpfr_sin(r8098, r8097, MPFR_RNDN);
        mpfr_mul(r8099, r8096, r8098, MPFR_RNDN);
        mpfr_sub(r8100, r8095, r8099, MPFR_RNDN);
        mpfr_mul(r8101, r8090, r8100, MPFR_RNDN);
        mpfr_add(r8102, r8087, r8101, MPFR_RNDN);
        mpfr_acos(r8103, r8102, MPFR_RNDN);
        mpfr_set_d(r8104, R, MPFR_RNDN);
        mpfr_mul(r8105, r8103, r8104, MPFR_RNDN);
        return mpfr_get_d(r8105, MPFR_RNDN);
}