double run_mp(double sigma_, double c_, int tau, dgs_disc_gauss_alg_t alg, size_t ntrials, unsigned long long *t) {
mpfr_set_default_prec(80);
mpfr_t sigma;
mpfr_init_set_d(sigma, sigma_, MPFR_RNDN);
gmp_randstate_t state;
gmp_randinit_default(state);
mpfr_t c;
mpfr_init_set_d(c, c_, MPFR_RNDN);
dgs_disc_gauss_mp_t *gen = dgs_disc_gauss_mp_init(sigma, c, tau, alg);
double variance = 0.0;
mpz_t r;
mpz_init(r);
*t = walltime(0);
for(size_t i=0; i<ntrials; i++) {
gen->call(r, gen, state);
variance += mpz_get_d(r)*mpz_get_d(r);
}
*t = walltime(*t);
dgs_disc_gauss_mp_clear(gen);
mpfr_clear(sigma);
mpz_clear(r);
mpfr_clear(c);
gmp_randclear(state);
variance /= ntrials;
return sqrt(variance);
}
int
main (void)
{
mpfr_t x, y, z, u;
int inexact;
mpfr_exp_t emax;
tests_start_mpfr ();
/* check prototypes of mpfr_init_set_* */
inexact = mpfr_init_set_si (x, -1, MPFR_RNDN);
inexact = mpfr_init_set (y, x, MPFR_RNDN);
inexact = mpfr_init_set_ui (z, 1, MPFR_RNDN);
inexact = mpfr_init_set_d (u, 1.0, MPFR_RNDN);
emax = mpfr_get_emax ();
set_emax (0);
mpfr_set_prec (x, 3);
mpfr_set_str_binary (x, "0.111");
mpfr_set_prec (y, 2);
mpfr_set (y, x, MPFR_RNDU);
if (!(MPFR_IS_INF (y) && MPFR_SIGN (y) > 0))
{
printf ("Error for y=x=0.111 with px=3, py=2 and emax=0\nx=");
mpfr_dump (x);
printf ("y=");
mpfr_dump (y);
exit (1);
}
set_emax (emax);
mpfr_set_prec (y, 11);
mpfr_set_str_binary (y, "0.11111111100E-8");
mpfr_set_prec (x, 2);
mpfr_set (x, y, MPFR_RNDN);
mpfr_set_str_binary (y, "1.0E-8");
if (mpfr_cmp (x, y))
{
printf ("Error for y=0.11111111100E-8, prec=2, rnd=MPFR_RNDN\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (u);
check_ternary_value ();
check_special ();
check_neg_special ();
test_generic (2, 1000, 10);
tests_end_mpfr ();
return 0;
}
int
main (void)
{
mp_prec_t p, q;
mpfr_t x, y, z, u;
mp_rnd_t rnd;
int inexact, cmp;
/* check prototypes of mpfr_init_set_* */
inexact = mpfr_init_set_si (x, -1, GMP_RNDN);
inexact = mpfr_init_set (y, x, GMP_RNDN);
inexact = mpfr_init_set_ui (z, 1, GMP_RNDN);
inexact = mpfr_init_set_d (u, 1.0, GMP_RNDN);
mpfr_set_prec (y, 11);
mpfr_set_str_raw (y, "0.11111111100E-8");
mpfr_set_prec (x, 2);
mpfr_set (x, y, GMP_RNDN);
mpfr_set_str_raw (y, "1.0E-8");
if (mpfr_cmp (x, y))
{
fprintf (stderr, "Error for y=0.11111111100E-8, prec=2, rnd=GMP_RNDN\n");
exit (1);
}
for (p=2; p<500; p++)
{
mpfr_set_prec (x, p);
mpfr_random (x);
if (LONG_RAND () % 2)
mpfr_neg (x, x, GMP_RNDN);
for (q=2; q<2*p; q++)
{
mpfr_set_prec (y, q);
for (rnd=0; rnd<4; rnd++)
{
inexact = mpfr_set (y, x, rnd);
cmp = mpfr_cmp (y, x);
if (((inexact == 0) && (cmp != 0)) ||
((inexact > 0) && (cmp <= 0)) ||
((inexact < 0) && (cmp >= 0)))
{
fprintf (stderr, "Wrong inexact flag in mpfr_set: expected %d, got %d\n", cmp, inexact);
exit (1);
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (u);
return 0;
}
int
mpfi_init_set_d (mpfi_ptr a, const double b)
{
int inexact_left, inexact_right, inexact = 0;
inexact_left = mpfr_init_set_d (&(a->left), b, MPFI_RNDD);
inexact_right = mpfr_init_set_d (&(a->right), b, MPFI_RNDU);
if ( MPFI_NAN_P (a) )
MPFR_RET_NAN;
if (b == 0.0) {
/* fix signed zero so as to return [+0, -0] */
mpfr_setsign (&(a->left), &(a->left), 0, MPFI_RNDU);
mpfr_setsign (&(a->right), &(a->right), 1, MPFI_RNDD);
}
if (inexact_left)
inexact += 1;
if (inexact_right)
inexact += 2;
return inexact;
}
void fft_init(size_t N, mpfr_prec_t prec)
{
if (prec) precision = prec;
if (N) LEN = N;
twid_fact = (Sequence) calloc(LEN, sizeof(mpc_t));
mpfr_init_set_d(ZERO, 0.0, MPFR_RNDA);
mpfr_init2(tmp, precision);
mpfr_const_pi(tmp, MPFR_RNDA);
mpfr_mul_si(tmp, tmp, -2, MPFR_RNDA);
mpfr_div_ui(tmp, tmp, N, MPFR_RNDA);
mpc_init2(min2pii, precision);
mpc_set_fr_fr(min2pii, ZERO, tmp, RND);
mpc_init2(temp, precision);
new_seq = (Sequence) calloc(N, sizeof(mpc_t));
size_t n = N / 2;
while (n--)
{
mpc_init2(twid_fact + n, precision);
mpc_mul_ui(twid_fact + n, min2pii, n, RND);
mpc_exp(twid_fact + n, twid_fact + n, RND);
}
}
/// @brief Calculate A2
///
/// Calculate \f$a_2=e^{\Delta S}\f$
///
/// @param move The type of move
/// @return \f$a_2=e^{-\Delta S}\f$
auto CalculateA2(const move_type move) const noexcept
{
auto currentS3Action =
S3_bulk_action(N1_TL_, N3_31_13_, N3_22_, Alpha_, K_, Lambda_);
auto newS3Action = static_cast<Gmpzf>(0);
// auto newS3Action = static_cast<MP_Float>(0);
switch (move)
{
case move_type::TWO_THREE:
// A (2,3) move adds a timelike edge
// and a (2,2) simplex
newS3Action = S3_bulk_action(N1_TL_ + 1, N3_31_13_, N3_22_ + 1, Alpha_,
K_, Lambda_);
break;
case move_type::THREE_TWO:
// A (3,2) move removes a timelike edge
// and a (2,2) simplex
newS3Action = S3_bulk_action(N1_TL_ - 1, N3_31_13_, N3_22_ - 1, Alpha_,
K_, Lambda_);
break;
case move_type::TWO_SIX:
// A (2,6) move adds 2 timelike edges and
// 2 (1,3) and 2 (3,1) simplices
newS3Action = S3_bulk_action(N1_TL_ + 2, N3_31_13_ + 4, N3_22_, Alpha_,
K_, Lambda_);
break;
case move_type::SIX_TWO:
// A (6,2) move removes 2 timelike edges and
// 2 (1,3) and 2 (3,1) simplices
newS3Action = S3_bulk_action(N1_TL_ - 2, N3_31_13_, N3_22_ - 4, Alpha_,
K_, Lambda_);
break;
case move_type::FOUR_FOUR:
// A (4,4) move changes nothing with respect to the action,
// and e^0==1
#ifndef NDEBUG
std::cout << "A2 is 1\n";
#endif
return static_cast<double>(1);
}
// auto exponent = newS3Action - currentS3Action;
auto exponent = currentS3Action - newS3Action;
auto exponent_double = Gmpzf_to_double(exponent);
// if exponent > 0 then e^exponent >=1 so according to Metropolis
// algorithm return A2=1
if (exponent >= 0) return static_cast<double>(1);
// Set precision for initialization and assignment functions
mpfr_set_default_prec(PRECISION);
// Initialize for MPFR
mpfr_t r1, a2;
mpfr_inits2(PRECISION, r1, a2, nullptr);
// Set input parameters and constants to mpfr_t equivalents
mpfr_init_set_d(r1, exponent_double, MPFR_RNDD); // r1 = exponent
// e^exponent
mpfr_exp(a2, r1, MPFR_RNDD);
// Convert mpfr_t total to Gmpzf result by using Gmpzf(double d)
// Gmpzf result = Gmpzf(mpfr_get_d(a2, MPFR_RNDD));
auto result = mpfr_get_d(a2, MPFR_RNDD);
// Free memory
mpfr_clears(r1, a2, nullptr);
#ifndef NDEBUG
std::cout << "A2 is " << result << "\n";
#endif
return result;
} // CalculateA2()
int main (int argc, char *argv[]){
mpfr_t *lambda, *kappa;
char f_out_name[BUFSIZ];
int d,iters,n, k, nk,nf,na,nb;
double *lambdas, *kappas, *f,*a,*b;
param_file_type param[Nparam] =
{{"d:" , "%d", &d, NULL, sizeof(int)},
{"iter:" , "%d", &iters, NULL, sizeof(int)},
{"lambda:", "DATA_FILE", &lambdas, &n , sizeof(double)},
{"kappa:", "DATA_FILE", &kappas, &nk , sizeof(double)}, /*psi*/
{"h:", "DATA_FILE", &f, &nf , sizeof(double)}, /*odf*/
{"a:", "DATA_FILE", &a, &na , sizeof(double)}, /*pdf a*/
{"bc:", "DATA_FILE", &b, &nb , sizeof(double)}, /*pdf sqrt(b^2 + c^2)*/
{"res1:","%s ", &f_out_name,NULL, 0}};
FILE *f_param;
FILE *f_out;
if (argc<2) {
printf("Error! Missing parameter - parameter_file.\n");
printf("%s\n",argv[0]);
abort();
}
/* read parameter file */
f_param = check_fopen(argv[1],"r");
if (read_param_file(f_param,param,Nparam,argc==2)<Nparam){
/*printf("Some parameters not found!");*/
/*abort();*/
}
fclose(f_param);
/* precission & delta */
init_prec(d);
long int prec = d;
if (nk>0) { /* kappas given*/
mpfr_t C;
kappa = (mpfr_t*) malloc (nk*sizeof(mpfr_t));
for(k=0;k<nk;k++){
mpfr_init2(kappa[k],prec);
mpfr_init_set_d(kappa[k], kappas[k],prec);
}
mhyper(C, kappa, nk);
/* gmp_printf("C: %.*Fe \n ", 20, C); */
if (nf>0) /* eval odf values*/
{
eval_exp_Ah(C,f,nf);
f_out = check_fopen(f_out_name,"wb");
fwrite(f,sizeof(double),nf,f_out);
fclose(f_out);
}
if ( na > 0) {/* eval pdf values*/
/* testing BesselI[0,a]
mpfr_t in, out;
for(k=0;k<na;k++){
mpfr_init2(in, prec);
mpfr_set_d(in, a[k],prec);
mpfr_init2(out, prec);
mpfr_i0(out, in, prec);
mpfr_printf ("%.1028RNf\ndd", out);
a[k] = mpfr_get_d(out,prec);
}
f_out = check_fopen(f_out_name,"wb");
fwrite(a,sizeof(double),na,f_out);
fclose(f_out);
*/
eval_exp_besseli(a,b,C,na);
f_out = check_fopen(f_out_name,"wb");
fwrite(a,sizeof(double),na,f_out);
fclose(f_out);
}
if (nf == 0 && na == 0) { /* only return constant */
double CC = mpfr_get_d(C,prec);
f_out = check_fopen(f_out_name,"wb");
fwrite(&CC,sizeof(double),1,f_out);
fclose(f_out);
}
} else { /* solve kappas */
/* copy input variables */
lambda = (mpfr_t*) malloc (n*sizeof(mpfr_t));
kappa = (mpfr_t*) malloc (n*sizeof(mpfr_t));
for(k=0;k<n;k++){
mpfr_init_set_ui(kappa[k],0,prec);
mpfr_init_set_d(lambda[k],lambdas[k],prec);
}
if(iters>0){
/* check input */
mpfr_t tmp;
mpfr_init(tmp);
mpfr_set_d(tmp,0,prec);
for(k=0;k<n;k++){
mpfr_add(tmp,tmp,lambda[k],prec);
}
mpfr_ui_sub(tmp,1,tmp,prec);
mpfr_div_ui(tmp,tmp,n,prec);
for(k=0;k<n;k++){
mpfr_add(lambda[k],lambda[k],tmp,prec);
}
mpfr_init2(tmp,prec);
for(k=0;k<n;k++){
mpfr_add(tmp,tmp,lambda[k],prec);
}
mpfr_init2(tmp,prec);
if( mpfr_cmp(lambda[min_N(lambda,n)],tmp) < 0 ){
printf("not well formed! sum should be exactly 1 and no lambda negativ");
exit(0);
}
/* solve the problem */
newton(iters,kappa, lambda, n);
} else {
guessinitial(kappa, lambda, n);
}
for(k=0;k<n;k++){
lambdas[k] = mpfr_get_d(kappa[k],GMP_RNDN); /* something wents wront in matlab for 473.66316276431799;*/
/* % bug: lambda= [0.97 0.01 0.001];*/
}
f_out = check_fopen(f_out_name,"wb");
fwrite(lambdas,sizeof(double),n,f_out);
fclose(f_out);
free_N(lambda,n);
free_N(kappa,n);
}
return EXIT_SUCCESS;
}
int
nth_new_moon( mpfr_t *result, int n_int ) {
mpfr_t n, k, C, approx, E, solar_anomaly, lunar_anomaly, moon_argument, omega, extra, correction, additional;
#if(0)
PerlIO_printf(PerlIO_stderr(), "nth_new_moon = %d\n", n_int );
#endif
if ( dt_astro_global_cache.cache_size > n_int ) {
mpfr_t *cached = dt_astro_global_cache.cache[n_int];
if (cached != NULL) {
#if(0)
PerlIO_printf(PerlIO_stderr(), "Cache HIT for %d\n", n_int);
#endif
mpfr_set( *result, *cached, GMP_RNDN );
return 1;
}
}
mpfr_init_set_ui( n, n_int, GMP_RNDN );
/* k = n - 24724 */
mpfr_init_set(k, n, GMP_RNDN);
mpfr_sub_ui(k, k, 24724, GMP_RNDN );
/* c = k / 1236.85 */
mpfr_init_set(C, k, GMP_RNDN );
mpfr_div_d(C, C, 1236.85, GMP_RNDN);
{
mpfr_t a, b, c, d, e;
mpfr_init(approx);
mpfr_init_set_d(a, 730125.59765, GMP_RNDN );
mpfr_init_set_d(b, MEAN_SYNODIC_MONTH * 1236.85, GMP_RNDN );
mpfr_init_set_d(c, 0.0001337, GMP_RNDN );
mpfr_init_set_d(d, -0.000000150, GMP_RNDN );
mpfr_init_set_d(e, 0.00000000073, GMP_RNDN );
polynomial( &approx, &C, 5, &a, &b, &c, &d, &e );
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
mpfr_clear(d);
mpfr_clear(e);
#ifdef ANNOYING_DEBUG
#if (ANNOYING_DEBUG)
mpfr_fprintf(stderr,
"approx = %.10RNf\n", approx);
#endif
#endif
}
{
mpfr_t a, b, c;
mpfr_init(E);
mpfr_init_set_ui(a, 1, GMP_RNDN);
mpfr_init_set_d(b, -0.002516, GMP_RNDN );
mpfr_init_set_d(c, -0.0000074, GMP_RNDN );
polynomial( &E, &C, 3, &a, &b, &c );
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
}
{
mpfr_t a, b, c, d;
mpfr_init(solar_anomaly);
mpfr_init_set_d(a, 2.5534, GMP_RNDN);
mpfr_init_set_d(b, 1236.85, GMP_RNDN);
mpfr_mul_d(b, b, 29.10535669, GMP_RNDN);
mpfr_init_set_d(c, -0.0000218, GMP_RNDN );
mpfr_init_set_d(d, -0.00000011, GMP_RNDN );
polynomial( &solar_anomaly, &C, 4, &a, &b, &c, &d);
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
mpfr_clear(d);
}
{
mpfr_t a, b, c, d, e;
mpfr_init(lunar_anomaly);
mpfr_init_set_d(a, 201.5643, GMP_RNDN);
mpfr_init_set_d(b, 385.81693528 * 1236.85, GMP_RNDN);
mpfr_init_set_d(c, 0.0107438, GMP_RNDN);
mpfr_init_set_d(d, 0.00001239, GMP_RNDN);
mpfr_init_set_d(e, -0.000000058, GMP_RNDN);
polynomial( &lunar_anomaly, &C, 5, &a, &b, &c, &d, &e);
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
mpfr_clear(d);
mpfr_clear(e);
}
{
mpfr_t a, b, c, d, e;
mpfr_init(moon_argument);
mpfr_init_set_d(a, 160.7108, GMP_RNDN);
mpfr_init_set_d(b, 390.67050274 * 1236.85, GMP_RNDN);
mpfr_init_set_d(c, -0.0016431, GMP_RNDN);
mpfr_init_set_d(d, -0.00000227, GMP_RNDN);
mpfr_init_set_d(e, 0.000000011, GMP_RNDN);
polynomial( &moon_argument, &C, 5, &a, &b, &c, &d, &e);
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
mpfr_clear(d);
mpfr_clear(e);
}
{
mpfr_t a, b, c, d;
mpfr_init(omega);
mpfr_init_set_d(a, 124.7746, GMP_RNDN);
mpfr_init_set_d(b, -1.56375580 * 1236.85, GMP_RNDN);
mpfr_init_set_d(c, 0.0020691, GMP_RNDN);
mpfr_init_set_d(d, 0.00000215, GMP_RNDN);
polynomial( &omega, &C, 4, &a, &b, &c, &d);
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
mpfr_clear(d);
}
{
mpfr_t a, b, c;
mpfr_init(extra);
mpfr_init_set_d(a, 299.77, GMP_RNDN);
mpfr_init_set_d(b, 132.8475848, GMP_RNDN);
mpfr_init_set_d(c, -0.009173, GMP_RNDN);
polynomial(&extra, &c, 3, &a, &b, &c);
dt_astro_sin(&extra, &extra);
mpfr_mul_d(extra, extra, 0.000325, GMP_RNDN);
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
}
mpfr_init(correction);
dt_astro_sin(&correction, &omega);
mpfr_mul_d(correction, correction, -0.00017, GMP_RNDN);
{
int i;
for( i = 0; i < NTH_NEW_MOON_CORRECTION_ARGS_SIZE; i++ ) {
mpfr_t a, v, w, x, y, z;
mpfr_init_set_d(v, NTH_NEW_MOON_CORRECTION_ARGS[i][0], GMP_RNDN);
mpfr_init_set_d(w, NTH_NEW_MOON_CORRECTION_ARGS[i][1], GMP_RNDN);
mpfr_init_set_d(x, NTH_NEW_MOON_CORRECTION_ARGS[i][2], GMP_RNDN);
mpfr_init_set_d(y, NTH_NEW_MOON_CORRECTION_ARGS[i][3], GMP_RNDN);
mpfr_init_set_d(z, NTH_NEW_MOON_CORRECTION_ARGS[i][4], GMP_RNDN);
mpfr_mul(x, x, solar_anomaly, GMP_RNDN);
mpfr_mul(y, y, lunar_anomaly, GMP_RNDN);
mpfr_mul(z, z, moon_argument, GMP_RNDN);
mpfr_add(x, x, y, GMP_RNDN);
mpfr_add(x, x, z, GMP_RNDN);
dt_astro_sin(&x, &x);
mpfr_init(a);
mpfr_pow(a, E, w, GMP_RNDN);
mpfr_mul(a, a, v, GMP_RNDN);
mpfr_mul(a, a, x, GMP_RNDN);
mpfr_add( correction, correction, a, GMP_RNDN );
mpfr_clear(a);
mpfr_clear(v);
mpfr_clear(w);
mpfr_clear(x);
mpfr_clear(y);
mpfr_clear(z);
}
}
{
int z;
mpfr_init_set_ui(additional, 0, GMP_RNDN);
for (z = 0; z < NTH_NEW_MOON_ADDITIONAL_ARGS_SIZE; z++) {
mpfr_t i, j, l;
mpfr_init_set_d(i, NTH_NEW_MOON_ADDITIONAL_ARGS[z][0], GMP_RNDN);
mpfr_init_set_d(j, NTH_NEW_MOON_ADDITIONAL_ARGS[z][1], GMP_RNDN);
mpfr_init_set_d(l, NTH_NEW_MOON_ADDITIONAL_ARGS[z][2], GMP_RNDN);
mpfr_mul(j, j, k, GMP_RNDN);
mpfr_add(j, j, i, GMP_RNDN);
dt_astro_sin(&j, &j);
mpfr_mul(l, l, j, GMP_RNDN);
mpfr_add(additional, additional, l, GMP_RNDN);
mpfr_clear(i);
mpfr_clear(j);
mpfr_clear(l);
}
}
#ifdef ANNOYING_DEBUG
#if (ANNOYING_DEBUG)
mpfr_fprintf(stderr,
"correction = %.10RNf\nextra = %.10RNf\nadditional = %.10RNf\n", correction, extra, additional );
#endif
#endif
mpfr_set(*result, approx, GMP_RNDN);
mpfr_add(*result, *result, correction, GMP_RNDN);
mpfr_add(*result, *result, extra, GMP_RNDN);
mpfr_add(*result, *result, additional, GMP_RNDN);
adjust_lunar_phase_to_zero( result );
mpfr_clear(n);
mpfr_clear(k);
mpfr_clear(C);
mpfr_clear(approx);
mpfr_clear(E);
mpfr_clear(solar_anomaly);
mpfr_clear(lunar_anomaly);
mpfr_clear(moon_argument);
mpfr_clear(omega);
mpfr_clear(extra);
mpfr_clear(correction);
mpfr_clear(additional);
if (dt_astro_global_cache.cache_size == 0) {
dt_astro_global_cache.cache_size = 200000;
Newxz( dt_astro_global_cache.cache, dt_astro_global_cache.cache_size, mpfr_t * );
}
static inline void
adjust_lunar_phase_to_zero(mpfr_t *result) {
mpfr_t ll, delta;
int mode = -1;
int loop = 1;
int count = 0;
/* Adjust values so that it's as close as possible to 0 degrees.
* if we have a delta of 1 degree, then we're about
* 1 / ( 360 / MEAN_SYNODIC_MONTH )
* days apart
*/
mpfr_init(ll);
mpfr_init_set_d(delta, 0.0001, GMP_RNDN);
while (loop) {
int flipped = mode;
mpfr_t new_moment;
count++;
mpfr_init(new_moment);
lunar_phase(&ll, result);
#if (TRACE)
mpfr_fprintf(stderr,
"Adjusting ll from (%.30RNf) moment is %.5RNf delta is %.30RNf\n", ll, *result, delta);
#endif
/* longitude was greater than 180, so we're looking to add a few
* degrees to make it close to 360 ( 0 )
*/
if (mpfr_cmp_ui( ll, 180 ) > 0) {
mode = 1;
mpfr_sub_ui(delta, ll, 360, GMP_RNDN);
mpfr_div_d(delta, delta, 360 / MEAN_SYNODIC_MONTH, GMP_RNDN);
mpfr_add( new_moment, *result, delta, GMP_RNDN );
#if (TRACE)
mpfr_fprintf(stderr, "add %.30RNf -> %.30RNf\n", *result, new_moment);
#endif
mpfr_set(*result, new_moment, GMP_RNDN);
if (mpfr_cmp(new_moment, *result) == 0) {
loop = 0;
}
} else if (mpfr_cmp_ui( ll, 180 ) < 0 ) {
if ( mpfr_cmp_d( ll, 0.000000000000000000001 ) < 0) {
loop = 0;
} else {
mode = 0;
mpfr_sub_ui(delta, ll, 0, GMP_RNDN);
mpfr_div_d(delta, delta, 360 / MEAN_SYNODIC_MONTH, GMP_RNDN);
mpfr_sub( new_moment, *result, delta, GMP_RNDN );
#if (TRACE)
mpfr_fprintf(stderr, "sub %.120RNf -> %.120RNf\n", *result, new_moment);
#endif
if (mpfr_cmp(new_moment, *result) == 0) {
loop = 0;
}
mpfr_set(*result, new_moment, GMP_RNDN);
}
} else {
loop = 0;
}
if (flipped != -1 && flipped != mode) {
mpfr_div_d(delta, delta, 1.1, GMP_RNDN);
}
mpfr_clear(new_moment);
}
mpfr_clear(delta);
mpfr_clear(ll);
}
int
lunar_longitude( mpfr_t *result, mpfr_t *moment ) {
mpfr_t C, mean_moon, elongation, solar_anomaly, lunar_anomaly, moon_node, E, correction, venus, jupiter, flat_earth, N, fullangle;
mpfr_init(C);
julian_centuries( &C, moment );
{
mpfr_t a, b, c, d, e;
mpfr_init(mean_moon);
mpfr_init_set_d(a, 218.316591, GMP_RNDN);
mpfr_init_set_d(b, 481267.88134236, GMP_RNDN);
mpfr_init_set_d(c, -0.0013268, GMP_RNDN);
mpfr_init_set_ui(d, 1, GMP_RNDN);
mpfr_div_ui(d, d, 538841, GMP_RNDN);
mpfr_init_set_si(e, -1, GMP_RNDN);
mpfr_div_ui(e, e, 65194000, GMP_RNDN);
polynomial( &mean_moon, &C, 5, &a, &b, &c, &d, &e );
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
mpfr_clear(d);
mpfr_clear(e);
}
{
mpfr_t a, b, c, d, e;
mpfr_init(elongation);
mpfr_init_set_d(a, 297.8502042, GMP_RNDN);
mpfr_init_set_d(b, 445267.1115168, GMP_RNDN);
mpfr_init_set_d(c, -0.00163, GMP_RNDN);
mpfr_init_set_ui(d, 1, GMP_RNDN);
mpfr_div_ui(d, d, 545868, GMP_RNDN);
mpfr_init_set_si(e, -1, GMP_RNDN);
mpfr_div_ui(e, e, 113065000, GMP_RNDN);
polynomial( &elongation, &C, 5, &a, &b, &c, &d, &e );
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
mpfr_clear(d);
mpfr_clear(e);
}
{
mpfr_t a, b, c, d;
mpfr_init(solar_anomaly);
mpfr_init_set_d(a, 357.5291092, GMP_RNDN);
mpfr_init_set_d(b, 35999.0502909, GMP_RNDN);
mpfr_init_set_d(c, -0.0001536, GMP_RNDN);
mpfr_init_set_ui(d, 1, GMP_RNDN);
mpfr_div_ui(d, d, 24490000, GMP_RNDN);
polynomial( &solar_anomaly, &C, 4, &a, &b, &c, &d );
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
mpfr_clear(d);
}
{
mpfr_t a, b, c, d, e;
mpfr_init(lunar_anomaly);
mpfr_init_set_d(a, 134.9634114, GMP_RNDN);
mpfr_init_set_d(b, 477198.8676313, GMP_RNDN);
mpfr_init_set_d(c, 0.0008997, GMP_RNDN);
mpfr_init_set_ui(d, 1, GMP_RNDN);
mpfr_div_ui(d, d, 69699, GMP_RNDN);
mpfr_init_set_si(e, -1, GMP_RNDN);
mpfr_div_ui(e, e, 14712000, GMP_RNDN);
polynomial( &lunar_anomaly, &C, 5, &a, &b, &c, &d, &e);
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
mpfr_clear(d);
mpfr_clear(e);
}
{
mpfr_t a, b, c, d, e;
mpfr_init(moon_node);
mpfr_init_set_d(a, 93.2720993, GMP_RNDN);
mpfr_init_set_d(b, 483202.0175273, GMP_RNDN);
mpfr_init_set_d(c, -0.0034029, GMP_RNDN);
mpfr_init_set_si(d, -1, GMP_RNDN);
mpfr_div_ui(d, d, 3526000, GMP_RNDN);
mpfr_init_set_ui(e, 1, GMP_RNDN);
mpfr_div_ui(e, e, 863310000, GMP_RNDN);
polynomial(&moon_node, &C, 5, &a, &b, &c, &d, &e);
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
mpfr_clear(d);
mpfr_clear(e);
}
{
mpfr_t a, b, c;
mpfr_init(E);
mpfr_init_set_ui(a, 1, GMP_RNDN);
mpfr_init_set_d(b, -0.002516, GMP_RNDN);
mpfr_init_set_d(c, -0.0000074, GMP_RNDN);
polynomial( &E, &C, 3, &a, &b, &c );
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(c);
}
{
int i;
mpfr_t fugly;
mpfr_init_set_ui(fugly, 0, GMP_RNDN);
for(i = 0; i < LUNAR_LONGITUDE_ARGS_SIZE; i++) {
mpfr_t a, b, v, w, x, y, z;
mpfr_init_set_d( v, LUNAR_LONGITUDE_ARGS[i][0], GMP_RNDN );
mpfr_init_set_d( w, LUNAR_LONGITUDE_ARGS[i][1], GMP_RNDN );
mpfr_init_set_d( x, LUNAR_LONGITUDE_ARGS[i][2], GMP_RNDN );
mpfr_init_set_d( y, LUNAR_LONGITUDE_ARGS[i][3], GMP_RNDN );
mpfr_init_set_d( z, LUNAR_LONGITUDE_ARGS[i][4], GMP_RNDN );
mpfr_init(b);
mpfr_pow(b, E, x, GMP_RNDN);
mpfr_mul(w, w, elongation, GMP_RNDN);
mpfr_mul(x, x, solar_anomaly, GMP_RNDN);
mpfr_mul(y, y, lunar_anomaly, GMP_RNDN);
mpfr_mul(z, z, moon_node, GMP_RNDN);
mpfr_init_set(a, w, GMP_RNDN);
mpfr_add(a, a, x, GMP_RNDN);
mpfr_add(a, a, y, GMP_RNDN);
mpfr_add(a, a, z, GMP_RNDN);
dt_astro_sin(&a, &a);
mpfr_mul(a, a, v, GMP_RNDN);
mpfr_mul(a, a, b, GMP_RNDN);
mpfr_add(fugly, fugly, a, GMP_RNDN);
mpfr_clear(a);
mpfr_clear(b);
mpfr_clear(v);
mpfr_clear(w);
mpfr_clear(x);
mpfr_clear(y);
mpfr_clear(z);
}
mpfr_init_set_d( correction, 0.000001, GMP_RNDN );
mpfr_mul( correction, correction, fugly, GMP_RNDN);
mpfr_clear(fugly);
}
{
mpfr_t a, b;
mpfr_init(venus);
mpfr_init_set_d(a, 119.75, GMP_RNDN);
mpfr_init_set(b, C, GMP_RNDN);
mpfr_mul_d(b, b, 131.849, GMP_RNDN);
mpfr_add(a, a, b, GMP_RNDN);
dt_astro_sin(&a, &a);
mpfr_mul_d(venus, a, 0.003957, GMP_RNDN );
mpfr_clear(a);
mpfr_clear(b);
}
{
mpfr_t a, b;
mpfr_init(jupiter);
mpfr_init_set_d(a, 53.09, GMP_RNDN);
mpfr_init_set(b, C, GMP_RNDN);
mpfr_mul_d(b, b, 479264.29, GMP_RNDN);
mpfr_add(a, a, b, GMP_RNDN);
dt_astro_sin(&a, &a);
mpfr_mul_d(jupiter, a, 0.000318, GMP_RNDN );
mpfr_clear(a);
mpfr_clear(b);
}
{
mpfr_t a;
mpfr_init(flat_earth);
mpfr_init_set(a, mean_moon, GMP_RNDN);
mpfr_sub(a, a, moon_node, GMP_RNDN);
dt_astro_sin(&a, &a);
mpfr_mul_d(flat_earth, a, 0.001962, GMP_RNDN);
mpfr_clear(a);
}
mpfr_set(*result, mean_moon, GMP_RNDN);
mpfr_add(*result, *result, correction, GMP_RNDN);
mpfr_add(*result, *result, venus, GMP_RNDN);
mpfr_add(*result, *result, jupiter, GMP_RNDN);
mpfr_add(*result, *result, flat_earth, GMP_RNDN);
#ifdef ANNOYING_DEBUG
#if (ANNOYING_DEBUG)
mpfr_fprintf(stderr,
"mean_moon = %.10RNf\ncorrection = %.10RNf\nvenus = %.10RNf\njupiter = %.10RNf\nflat_earth = %.10RNf\n",
mean_moon,
correction,
venus,
jupiter,
flat_earth);
#endif
#endif
mpfr_init(N);
nutation(&N, moment);
mpfr_add(*result, *result, N, GMP_RNDN);
mpfr_init_set_ui(fullangle, 360, GMP_RNDN);
#ifdef ANNOYING_DEBUG
#if (ANNOYING_DEBUG)
mpfr_fprintf(stderr, "lunar = mod(%.10RNf) = ", *result );
#endif
#endif
dt_astro_mod(result, result, &fullangle);
#ifdef ANNOYING_DEBUG
#if (ANNOYING_DEBUG)
mpfr_fprintf(stderr, "%.10RNf\n", *result );
#endif
#endif
mpfr_clear(C);
mpfr_clear(mean_moon);
mpfr_clear(elongation);
mpfr_clear(solar_anomaly);
mpfr_clear(lunar_anomaly);
mpfr_clear(moon_node);
mpfr_clear(E);
mpfr_clear(correction);
mpfr_clear(venus);
mpfr_clear(jupiter);
mpfr_clear(flat_earth);
mpfr_clear(N);
mpfr_clear(fullangle);
return 1;
}
int
main (void)
{
mp_prec_t p, q;
mpfr_t x, y, z, u;
int rnd;
int inexact, cmp;
mp_exp_t emax;
tests_start_mpfr ();
/* check prototypes of mpfr_init_set_* */
inexact = mpfr_init_set_si (x, -1, GMP_RNDN);
inexact = mpfr_init_set (y, x, GMP_RNDN);
inexact = mpfr_init_set_ui (z, 1, GMP_RNDN);
inexact = mpfr_init_set_d (u, 1.0, GMP_RNDN);
mpfr_set_nan (x);
(mpfr_set) (y, x, GMP_RNDN);
MPFR_ASSERTN(mpfr_nan_p (y));
mpfr_set_inf (x, 1);
mpfr_set (y, x, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (y) && mpfr_sgn (y) > 0);
mpfr_set_inf (x, -1);
mpfr_set (y, x, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (y) && mpfr_sgn (y) < 0);
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_set (y, x, GMP_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS(y));
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_neg (x, x, GMP_RNDN);
mpfr_set (y, x, GMP_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_NEG(y));
emax = mpfr_get_emax ();
set_emax (0);
mpfr_set_prec (x, 3);
mpfr_set_str_binary (x, "0.111");
mpfr_set_prec (y, 2);
mpfr_set (y, x, GMP_RNDU);
if (!(MPFR_IS_INF (y) && MPFR_SIGN (y) > 0))
{
printf ("Error for y=x=0.111 with px=3, py=2 and emax=0\nx=");
mpfr_dump (x);
printf ("y=");
mpfr_dump (y);
exit (1);
}
MPFR_ASSERTN (MPFR_IS_INF (y) && MPFR_SIGN (y) > 0);
set_emax (emax);
mpfr_set_prec (y, 11);
mpfr_set_str_binary (y, "0.11111111100E-8");
mpfr_set_prec (x, 2);
mpfr_set (x, y, GMP_RNDN);
mpfr_set_str_binary (y, "1.0E-8");
if (mpfr_cmp (x, y))
{
printf ("Error for y=0.11111111100E-8, prec=2, rnd=GMP_RNDN\n");
exit (1);
}
for (p=2; p<500; p++)
{
mpfr_set_prec (x, p);
mpfr_random (x);
if (randlimb () % 2)
mpfr_neg (x, x, GMP_RNDN);
for (q=2; q<2*p; q++)
{
mpfr_set_prec (y, q);
for (rnd = 0; rnd < GMP_RND_MAX; rnd++)
{
inexact = mpfr_set (y, x, (mp_rnd_t) rnd);
cmp = mpfr_cmp (y, x);
if (((inexact == 0) && (cmp != 0)) ||
((inexact > 0) && (cmp <= 0)) ||
((inexact < 0) && (cmp >= 0)))
{
printf ("Wrong inexact flag in mpfr_set: expected %d,"
" got %d\n", cmp, inexact);
exit (1);
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (u);
check_neg_special ();
tests_end_mpfr ();
return 0;
}
