#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 r8022 = phi1;
        float r8023 = sin(r8022);
        float r8024 = phi2;
        float r8025 = sin(r8024);
        float r8026 = r8023 * r8025;
        float r8027 = cos(r8022);
        float r8028 = cos(r8024);
        float r8029 = r8027 * r8028;
        float r8030 = lambda1;
        float r8031 = lambda2;
        float r8032 = r8030 - r8031;
        float r8033 = cos(r8032);
        float r8034 = r8029 * r8033;
        float r8035 = r8026 + r8034;
        float r8036 = acos(r8035);
        float r8037 = R;
        float r8038 = r8036 * r8037;
        return r8038;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r8039 = phi1;
        double r8040 = sin(r8039);
        double r8041 = phi2;
        double r8042 = sin(r8041);
        double r8043 = r8040 * r8042;
        double r8044 = cos(r8039);
        double r8045 = cos(r8041);
        double r8046 = r8044 * r8045;
        double r8047 = lambda1;
        double r8048 = lambda2;
        double r8049 = r8047 - r8048;
        double r8050 = cos(r8049);
        double r8051 = r8046 * r8050;
        double r8052 = r8043 + r8051;
        double r8053 = acos(r8052);
        double r8054 = R;
        double r8055 = r8053 * r8054;
        return r8055;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r8056 = lambda2;
        float r8057 = sin(r8056);
        float r8058 = lambda1;
        float r8059 = sin(r8058);
        float r8060 = cos(r8056);
        float r8061 = cos(r8058);
        float r8062 = r8060 * r8061;
        float r8063 = fma(r8057, r8059, r8062);
        float r8064 = phi1;
        float r8065 = cos(r8064);
        float r8066 = phi2;
        float r8067 = cos(r8066);
        float r8068 = r8065 * r8067;
        float r8069 = sin(r8066);
        float r8070 = sin(r8064);
        float r8071 = r8069 * r8070;
        float r8072 = fma(r8063, r8068, r8071);
        float r8073 = expm1(r8072);
        float r8074 = log1p(r8073);
        float r8075 = acos(r8074);
        float r8076 = exp(r8075);
        float r8077 = log(r8076);
        float r8078 = R;
        float r8079 = r8077 * r8078;
        return r8079;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r8080 = lambda2;
        double r8081 = sin(r8080);
        double r8082 = lambda1;
        double r8083 = sin(r8082);
        double r8084 = cos(r8080);
        double r8085 = cos(r8082);
        double r8086 = r8084 * r8085;
        double r8087 = fma(r8081, r8083, r8086);
        double r8088 = phi1;
        double r8089 = cos(r8088);
        double r8090 = phi2;
        double r8091 = cos(r8090);
        double r8092 = r8089 * r8091;
        double r8093 = sin(r8090);
        double r8094 = sin(r8088);
        double r8095 = r8093 * r8094;
        double r8096 = fma(r8087, r8092, r8095);
        double r8097 = expm1(r8096);
        double r8098 = log1p(r8097);
        double r8099 = acos(r8098);
        double r8100 = exp(r8099);
        double r8101 = log(r8100);
        double r8102 = R;
        double r8103 = r8101 * r8102;
        return r8103;
}

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 r8104, r8105, r8106, r8107, r8108, r8109, r8110, r8111, r8112, r8113, r8114, r8115, r8116, r8117, r8118, r8119, r8120;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        mpfr_init(r8104);
        mpfr_init(r8105);
        mpfr_init(r8106);
        mpfr_init(r8107);
        mpfr_init(r8108);
        mpfr_init(r8109);
        mpfr_init(r8110);
        mpfr_init(r8111);
        mpfr_init(r8112);
        mpfr_init(r8113);
        mpfr_init(r8114);
        mpfr_init(r8115);
        mpfr_init(r8116);
        mpfr_init(r8117);
        mpfr_init(r8118);
        mpfr_init(r8119);
        mpfr_init(r8120);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r8104, phi1, MPFR_RNDN);
        mpfr_sin(r8105, r8104, MPFR_RNDN);
        mpfr_set_d(r8106, phi2, MPFR_RNDN);
        mpfr_sin(r8107, r8106, MPFR_RNDN);
        mpfr_mul(r8108, r8105, r8107, MPFR_RNDN);
        mpfr_cos(r8109, r8104, MPFR_RNDN);
        mpfr_cos(r8110, r8106, MPFR_RNDN);
        mpfr_mul(r8111, r8109, r8110, MPFR_RNDN);
        mpfr_set_d(r8112, lambda1, MPFR_RNDN);
        mpfr_set_d(r8113, lambda2, MPFR_RNDN);
        mpfr_sub(r8114, r8112, r8113, MPFR_RNDN);
        mpfr_cos(r8115, r8114, MPFR_RNDN);
        mpfr_mul(r8116, r8111, r8115, MPFR_RNDN);
        mpfr_add(r8117, r8108, r8116, MPFR_RNDN);
        mpfr_acos(r8118, r8117, MPFR_RNDN);
        mpfr_set_d(r8119, R, MPFR_RNDN);
        mpfr_mul(r8120, r8118, r8119, MPFR_RNDN);
        return mpfr_get_d(r8120, MPFR_RNDN);
}

static mpfr_t r8121, r8122, r8123, r8124, r8125, r8126, r8127, r8128, r8129, r8130, r8131, r8132, r8133, r8134, r8135, r8136, r8137, r8138, r8139, r8140, r8141, r8142, r8143, r8144;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r8121);
        mpfr_init(r8122);
        mpfr_init(r8123);
        mpfr_init(r8124);
        mpfr_init(r8125);
        mpfr_init(r8126);
        mpfr_init(r8127);
        mpfr_init(r8128);
        mpfr_init(r8129);
        mpfr_init(r8130);
        mpfr_init(r8131);
        mpfr_init(r8132);
        mpfr_init(r8133);
        mpfr_init(r8134);
        mpfr_init(r8135);
        mpfr_init(r8136);
        mpfr_init(r8137);
        mpfr_init(r8138);
        mpfr_init(r8139);
        mpfr_init(r8140);
        mpfr_init(r8141);
        mpfr_init(r8142);
        mpfr_init(r8143);
        mpfr_init(r8144);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r8121, lambda2, MPFR_RNDN);
        mpfr_sin(r8122, r8121, MPFR_RNDN);
        mpfr_set_d(r8123, lambda1, MPFR_RNDN);
        mpfr_sin(r8124, r8123, MPFR_RNDN);
        mpfr_cos(r8125, r8121, MPFR_RNDN);
        mpfr_cos(r8126, r8123, MPFR_RNDN);
        mpfr_mul(r8127, r8125, r8126, MPFR_RNDN);
        mpfr_fma(r8128, r8122, r8124, r8127, MPFR_RNDN);
        mpfr_set_d(r8129, phi1, MPFR_RNDN);
        mpfr_cos(r8130, r8129, MPFR_RNDN);
        mpfr_set_d(r8131, phi2, MPFR_RNDN);
        mpfr_cos(r8132, r8131, MPFR_RNDN);
        mpfr_mul(r8133, r8130, r8132, MPFR_RNDN);
        mpfr_sin(r8134, r8131, MPFR_RNDN);
        mpfr_sin(r8135, r8129, MPFR_RNDN);
        mpfr_mul(r8136, r8134, r8135, MPFR_RNDN);
        mpfr_fma(r8137, r8128, r8133, r8136, MPFR_RNDN);
        mpfr_expm1(r8138, r8137, MPFR_RNDN);
        mpfr_log1p(r8139, r8138, MPFR_RNDN);
        mpfr_acos(r8140, r8139, MPFR_RNDN);
        mpfr_exp(r8141, r8140, MPFR_RNDN);
        mpfr_log(r8142, r8141, MPFR_RNDN);
        mpfr_set_d(r8143, R, MPFR_RNDN);
        mpfr_mul(r8144, r8142, r8143, MPFR_RNDN);
        return mpfr_get_d(r8144, MPFR_RNDN);
}

static mpfr_t r8145, r8146, r8147, r8148, r8149, r8150, r8151, r8152, r8153, r8154, r8155, r8156, r8157, r8158, r8159, r8160, r8161, r8162, r8163, r8164, r8165, r8166, r8167, r8168;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r8145);
        mpfr_init(r8146);
        mpfr_init(r8147);
        mpfr_init(r8148);
        mpfr_init(r8149);
        mpfr_init(r8150);
        mpfr_init(r8151);
        mpfr_init(r8152);
        mpfr_init(r8153);
        mpfr_init(r8154);
        mpfr_init(r8155);
        mpfr_init(r8156);
        mpfr_init(r8157);
        mpfr_init(r8158);
        mpfr_init(r8159);
        mpfr_init(r8160);
        mpfr_init(r8161);
        mpfr_init(r8162);
        mpfr_init(r8163);
        mpfr_init(r8164);
        mpfr_init(r8165);
        mpfr_init(r8166);
        mpfr_init(r8167);
        mpfr_init(r8168);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r8145, lambda2, MPFR_RNDN);
        mpfr_sin(r8146, r8145, MPFR_RNDN);
        mpfr_set_d(r8147, lambda1, MPFR_RNDN);
        mpfr_sin(r8148, r8147, MPFR_RNDN);
        mpfr_cos(r8149, r8145, MPFR_RNDN);
        mpfr_cos(r8150, r8147, MPFR_RNDN);
        mpfr_mul(r8151, r8149, r8150, MPFR_RNDN);
        mpfr_fma(r8152, r8146, r8148, r8151, MPFR_RNDN);
        mpfr_set_d(r8153, phi1, MPFR_RNDN);
        mpfr_cos(r8154, r8153, MPFR_RNDN);
        mpfr_set_d(r8155, phi2, MPFR_RNDN);
        mpfr_cos(r8156, r8155, MPFR_RNDN);
        mpfr_mul(r8157, r8154, r8156, MPFR_RNDN);
        mpfr_sin(r8158, r8155, MPFR_RNDN);
        mpfr_sin(r8159, r8153, MPFR_RNDN);
        mpfr_mul(r8160, r8158, r8159, MPFR_RNDN);
        mpfr_fma(r8161, r8152, r8157, r8160, MPFR_RNDN);
        mpfr_expm1(r8162, r8161, MPFR_RNDN);
        mpfr_log1p(r8163, r8162, MPFR_RNDN);
        mpfr_acos(r8164, r8163, MPFR_RNDN);
        mpfr_exp(r8165, r8164, MPFR_RNDN);
        mpfr_log(r8166, r8165, MPFR_RNDN);
        mpfr_set_d(r8167, R, MPFR_RNDN);
        mpfr_mul(r8168, r8166, r8167, MPFR_RNDN);
        return mpfr_get_d(r8168, MPFR_RNDN);
}

