void mpfr_taylor_nat_log(mpfr_t R, mpfr_t x, mpz_t n)
{
assert(mpz_cmp_ui(n, 0) > 0);
assert(mpfr_cmp_ui(x, 0) > 0);
mpfr_t a, t, tt;
mpfr_exp_t b;
mpz_t k;
unsigned int f = 1000, F = 1000;
mpfr_init(a);
mpfr_frexp(&b, a, x, MPFR_RNDN);
mpfr_ui_sub(a, 1, a, MPFR_RNDN);
mpfr_init_set(t, a, MPFR_RNDN);
mpfr_init(tt);
mpfr_set(R, a, MPFR_RNDN);
for(mpz_init_set_ui(k, 2); mpz_cmp(k, n) < 0; mpz_add_ui(k, k, 1))
{
mpfr_mul(t, t, a, MPFR_RNDN);
mpfr_div_z(tt, t, k, MPFR_RNDN);
mpfr_add(R, R, tt, MPFR_RNDN);
}
mpfr_mul_si(a, MPFR_NAT_LOG_2, b, MPFR_RNDN);
mpfr_sub(R, a, R, MPFR_RNDN);
}
void mpfr_squaring_int_exp(mpfr_t R, mpfr_t x, mpz_t a)
{
if(mpz_cmp_ui(a, 0) < 0)
{
mpz_t b;
mpz_init_set(b, a);
mpz_neg(b, b);
mpfr_squaring_int_exp(R, x, b);
mpfr_ui_div(R, 1, R, MPFR_RNDN);
}
else
{
mpfr_t y;
mpz_t n;
mpfr_init_set(y, x, MPFR_RNDN);
mpfr_set_ui(R, 1, MPFR_RNDN);
mpz_init_set(n, a);
while(mpz_cmp_ui(n, 0) > 0)
{
if(mpz_odd_p(n))
{
mpfr_mul(R, R, y, MPFR_RNDN);
mpz_sub_ui(n, n, 1);
}
mpfr_mul(y, y, y, MPFR_RNDN);
mpz_div_ui(n, n, 2);
}
}
}
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
mpfi_init_set (mpfi_ptr a, mpfi_srcptr b)
{
int inexact_left, inexact_right, inexact = 0;
inexact_left = mpfr_init_set (&(a->left), &(b->left), MPFI_RNDD);
inexact_right = mpfr_init_set (&(a->right), &(b->right), MPFI_RNDU);
if ( MPFI_NAN_P (a) )
MPFR_RET_NAN;
if (inexact_left)
inexact += 1;
if (inexact_right)
inexact += 2;
return inexact;
}
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;
}
void mpfr_taylor_sin_bounded(mpfr_t R, mpfr_t x, unsigned int N)
{
mpfr_printf("%.20RNF\n", x);
assert(mpfr_cmp_ui(x, 0) >= 0 && mpfr_cmp(x, MPFR_HALF_PI) <= 0);
mpfr_t t, x_2;
mpfr_init_set(R, x, MPFR_RNDN);
mpfr_init_set(t, x, MPFR_RNDN);
mpfr_init(x_2);
mpfr_mul(x_2, x, x, MPFR_RNDN);
for(int n = 1; n < N; n++)
{
mpfr_div_ui(t, t, (2*n+1)*(2*(n++)), MPFR_RNDN);
mpfr_mul(t, t, x_2, MPFR_RNDN);
mpfr_sub(R, R, t, MPFR_RNDN);
mpfr_div_ui(t, t, (2*n+1)*(2*n), MPFR_RNDN);
mpfr_mul(t, t, x_2, MPFR_RNDN);
mpfr_add(R, R, t, MPFR_RNDN);
}
}
APLVFP PrimFnMonQuoteDotVisV
(APLVFP aplVfpRht,
LPPRIMSPEC lpPrimSpec)
{
APLMPI mpzRes = {0};
APLVFP mpfRes = {0};
// Check for indeterminates: !N for integer N < 0
if (mpfr_integer_p (&aplVfpRht)
&& mpfr_cmp_ui (&aplVfpRht, 0) < 0)
return *mpfr_QuadICValue (&aplVfpRht, // No left arg
ICNDX_QDOTn,
&aplVfpRht,
&mpfRes,
FALSE);
// Check for PosInfinity
if (IsMpfPosInfinity (&aplVfpRht))
return mpfPosInfinity;
// If the arg is an integer,
// and it fits in a ULONG, ...
if (mpfr_integer_p (&aplVfpRht)
&& mpfr_fits_uint_p (&aplVfpRht, MPFR_RNDN))
{
mpz_init (&mpzRes);
mpfr_init0 (&mpfRes);
mpz_fac_ui (&mpzRes, mpfr_get_ui (&aplVfpRht, MPFR_RNDN));
mpfr_set_z (&mpfRes, &mpzRes, MPFR_RNDN);
Myz_clear (&mpzRes);
} else
{
// Initialize the result
mpfr_init_set (&mpfRes, &aplVfpRht, MPFR_RNDN);
mpfr_add_ui (&mpfRes, &mpfRes, 1, MPFR_RNDN);
// Let MPFR handle it
mpfr_gamma (&mpfRes, &mpfRes, MPFR_RNDN);
#ifdef DEBUG
mpfr_free_cache ();
#endif
} // End IF/ELSE
return mpfRes;
} // End PrimFnMonQuoteDotVisV
void mpfr_taylor_sin(mpfr_t R, mpfr_t x, unsigned int N)
{
mpfr_t y, t;
mpfr_init_set(y, x, MPFR_RNDN);
mpfr_init(t);
if(mpfr_cmp_ui(y, 0) >= 0)
{
while(mpfr_cmp(y, MPFR_TWO_PI) >= 0)
mpfr_sub(y, y, MPFR_TWO_PI, MPFR_RNDN);
if(mpfr_cmp(y, MPFR_PI) >= 0)
{
mpfr_sub(t, y, MPFR_PI, MPFR_RNDN);
if(mpfr_cmp(t, MPFR_PI) >= 0)
{
mpfr_sub(y, MPFR_TWO_PI, y, MPFR_RNDN);
mpfr_taylor_sin_bounded(R, y, N);
mpfr_neg(R, R, MPFR_RNDN);
}
else
{
mpfr_sub(y, y, MPFR_PI, MPFR_RNDN);
mpfr_taylor_sin_bounded(R, y, N);
mpfr_neg(R, R, MPFR_RNDN);
}
}
else
{
if(mpfr_cmp(y, MPFR_HALF_PI) >= 0)
{
mpfr_sub(y, MPFR_PI, y, MPFR_RNDN);
mpfr_taylor_sin_bounded(R, y, N);
}
else
{
mpfr_taylor_sin_bounded(R, y, N);
}
}
}
else
{
mpfr_neg(y, y, MPFR_RNDN);
mpfr_taylor_sin(R, y, N);
mpfr_neg(R, R, MPFR_RNDN);
}
}
void mpfr_naive_exp(mpfr_t R, mpfr_t x, mpz_t n)
{
assert(mpz_cmp_ui(n, 0) >= 0);
mpfr_t z;
mpfr_init_set(z, x, MPFR_RNDN);
mpfr_div_z(z, z, n, MPFR_RNDN);
mpfr_add_ui(z, z, 1, MPFR_RNDN);
if(mpfr_cmp_ui(z, 0) > 0)
mpfr_squaring_int_exp(R, z, n);
else
{
mpfr_neg(z, z, MPFR_RNDN);
mpfr_squaring_int_exp(R, z, n);
if(mpz_odd_p(n))
mpfr_neg(R, R, MPFR_RNDN);
}
}
void from_ring_elem(elem &result, const ring_elem &a) const
{
mpfr_init_set(&result, reinterpret_cast<mpfr_ptr>(a.poly_val), GMP_RNDN);
}
void init_set(elem &result, elem a) const { mpfr_init_set(&result, &a, GMP_RNDN); }
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 * );
}
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;
}
