void
print_fp (FILE *fout, mpfr_t f, const char *suffix)
{
if (mpfr_inf_p (f))
mpfr_fprintf (fout, "\t%sINF%s", mpfr_signbit (f) ? "-" : "", suffix);
else
mpfr_fprintf (fout, "\t%Ra%s", f, suffix);
}
static void
round_str (FILE *fout, const char *s, int prec, int emin, int emax,
bool ibm_ld)
{
mpfr_t f;
mpfr_set_default_prec (prec);
mpfr_set_emin (emin);
mpfr_set_emax (emax);
mpfr_init (f);
int r = string_to_fp (f, s, MPFR_RNDD);
if (ibm_ld)
{
assert (prec == 106 && emin == -1073 && emax == 1024);
/* The maximum value in IBM long double has discontiguous
mantissa bits. */
mpfr_t max_value;
mpfr_init2 (max_value, 107);
mpfr_set_str (max_value, "0x1.fffffffffffff7ffffffffffffcp+1023", 0,
MPFR_RNDN);
if (mpfr_cmpabs (f, max_value) > 0)
r = 1;
mpfr_clear (max_value);
}
mpfr_fprintf (fout, "\t%s,\n", r ? "false" : "true");
print_fp (fout, f, ",\n");
string_to_fp (f, s, MPFR_RNDN);
print_fp (fout, f, ",\n");
string_to_fp (f, s, MPFR_RNDZ);
print_fp (fout, f, ",\n");
string_to_fp (f, s, MPFR_RNDU);
print_fp (fout, f, "");
mpfr_clear (f);
}
static void
check (FILE *fout, char *fmt, mpfr_t x)
{
if (mpfr_fprintf (fout, fmt, x) == -1)
{
mpfr_printf ("Error in mpfr_fprintf(fout, \"%s\", %Re)\n",
fmt, x);
exit (1);
}
fputc ('\n', fout);
}
static void
round_for_all (FILE *fout, const char *s)
{
static const struct fmt {
int prec;
int emin;
int emax;
bool ibm_ld;
} formats[] = {
{ 24, -148, 128, false },
{ 53, -1073, 1024, false },
/* This is the Intel extended float format. */
{ 64, -16444, 16384, false },
/* This is the Motorola extended float format. */
{ 64, -16445, 16384, false },
{ 106, -1073, 1024, true },
{ 113, -16493, 16384, false },
};
mpfr_fprintf (fout, " TEST (\"");
const char *p;
for (p = s; *p; p++)
{
fputc (*p, fout);
if ((p - s) % 60 == 59 && p[1])
mpfr_fprintf (fout, "\"\n\t\"");
}
mpfr_fprintf (fout, "\",\n");
int i;
int n_formats = sizeof (formats) / sizeof (formats[0]);
for (i = 0; i < n_formats; i++)
{
round_str (fout, s, formats[i].prec, formats[i].emin,
formats[i].emax, formats[i].ibm_ld);
if (i < n_formats - 1)
mpfr_fprintf (fout, ",\n");
}
mpfr_fprintf (fout, "),\n");
}
void
arf_fprintd(FILE * file, const arf_t x, slong d)
{
if (arf_is_finite(x) && (ARF_EXP(x) <= MPFR_EMIN_MIN + 1 ||
ARF_EXP(x) >= MPFR_EMAX_MAX - 1))
{
arf_fprint(file, x);
}
else
{
mpfr_t t;
mpfr_init2(t, d * 3.33 + 10);
mpfr_set_emin(MPFR_EMIN_MIN);
mpfr_set_emax(MPFR_EMAX_MAX);
arf_get_mpfr(t, x, MPFR_RNDN);
mpfr_fprintf(file, "%.*Rg", FLINT_MAX(d, 1), t);
mpfr_clear(t);
}
}
void generate_2D_sample (FILE *output, struct speed_params2D param)
{
mpfr_t temp;
double incr_prec;
mpfr_t incr_x;
mpfr_t x, x2;
double prec;
struct speed_params s;
int i;
int test;
int nb_functions;
double *t; /* store the timing of each implementation */
/* We first determine how many implementations we have */
nb_functions = 0;
while (param.speed_funcs[nb_functions] != NULL)
nb_functions++;
t = malloc (nb_functions * sizeof (double));
if (t == NULL)
{
fprintf (stderr, "Can't allocate memory.\n");
abort ();
}
mpfr_init2 (temp, MPFR_SMALL_PRECISION);
/* The precision is sampled from min_prec to max_prec with */
/* approximately nb_points_prec points. If logarithmic_scale_prec */
/* is true, the precision is multiplied by incr_prec at each */
/* step. Otherwise, incr_prec is added at each step. */
if (param.logarithmic_scale_prec)
{
mpfr_set_ui (temp, (unsigned long int)param.max_prec, MPFR_RNDU);
mpfr_div_ui (temp, temp, (unsigned long int)param.min_prec, MPFR_RNDU);
mpfr_root (temp, temp,
(unsigned long int)param.nb_points_prec, MPFR_RNDU);
incr_prec = mpfr_get_d (temp, MPFR_RNDU);
}
else
{
incr_prec = (double)param.max_prec - (double)param.min_prec;
incr_prec = incr_prec/((double)param.nb_points_prec);
}
/* The points x are sampled according to the following rule: */
/* If logarithmic_scale_x = 0: */
/* nb_points_x points are equally distributed between min_x and max_x */
/* If logarithmic_scale_x = 1: */
/* nb_points_x points are sampled from 2^(min_x) to 2^(max_x). At */
/* each step, the current point is multiplied by incr_x. */
/* If logarithmic_scale_x = -1: */
/* nb_points_x/2 points are sampled from -2^(max_x) to -2^(min_x) */
/* (at each step, the current point is divided by incr_x); and */
/* nb_points_x/2 points are sampled from 2^(min_x) to 2^(max_x) */
/* (at each step, the current point is multiplied by incr_x). */
mpfr_init2 (incr_x, param.max_prec);
if (param.logarithmic_scale_x == 0)
{
mpfr_set_d (incr_x,
(param.max_x - param.min_x)/(double)param.nb_points_x,
MPFR_RNDU);
}
else if (param.logarithmic_scale_x == -1)
{
mpfr_set_d (incr_x,
2.*(param.max_x - param.min_x)/(double)param.nb_points_x,
MPFR_RNDU);
mpfr_exp2 (incr_x, incr_x, MPFR_RNDU);
}
else
{ /* other values of param.logarithmic_scale_x are considered as 1 */
mpfr_set_d (incr_x,
(param.max_x - param.min_x)/(double)param.nb_points_x,
MPFR_RNDU);
mpfr_exp2 (incr_x, incr_x, MPFR_RNDU);
}
/* Main loop */
mpfr_init2 (x, param.max_prec);
mpfr_init2 (x2, param.max_prec);
prec = (double)param.min_prec;
while (prec <= param.max_prec)
{
printf ("prec = %d\n", (int)prec);
if (param.logarithmic_scale_x == 0)
mpfr_set_d (temp, param.min_x, MPFR_RNDU);
else if (param.logarithmic_scale_x == -1)
{
mpfr_set_d (temp, param.max_x, MPFR_RNDD);
mpfr_exp2 (temp, temp, MPFR_RNDD);
mpfr_neg (temp, temp, MPFR_RNDU);
}
else
{
mpfr_set_d (temp, param.min_x, MPFR_RNDD);
mpfr_exp2 (temp, temp, MPFR_RNDD);
}
/* We perturb x a little bit, in order to avoid trailing zeros that */
/* might change the behavior of algorithms. */
mpfr_const_pi (x, MPFR_RNDN);
mpfr_div_2ui (x, x, 7, MPFR_RNDN);
mpfr_add_ui (x, x, 1, MPFR_RNDN);
mpfr_mul (x, x, temp, MPFR_RNDN);
test = 1;
while (test)
{
mpfr_fprintf (output, "%e\t", mpfr_get_d (x, MPFR_RNDN));
mpfr_fprintf (output, "%Pu\t", (mpfr_prec_t)prec);
s.r = (mp_limb_t)mpfr_get_exp (x);
s.size = (mpfr_prec_t)prec;
s.align_xp = (mpfr_sgn (x) > 0)?1:2;
mpfr_set_prec (x2, (mpfr_prec_t)prec);
mpfr_set (x2, x, MPFR_RNDU);
s.xp = x2->_mpfr_d;
for (i=0; i<nb_functions; i++)
{
t[i] = speed_measure (param.speed_funcs[i], &s);
mpfr_fprintf (output, "%e\t", t[i]);
}
fprintf (output, "%d\n", 1 + find_best (t, nb_functions));
if (param.logarithmic_scale_x == 0)
{
mpfr_add (x, x, incr_x, MPFR_RNDU);
if (mpfr_cmp_d (x, param.max_x) > 0)
test=0;
}
else
{
if (mpfr_sgn (x) < 0 )
{ /* if x<0, it means that logarithmic_scale_x=-1 */
mpfr_div (x, x, incr_x, MPFR_RNDU);
mpfr_abs (temp, x, MPFR_RNDD);
mpfr_log2 (temp, temp, MPFR_RNDD);
if (mpfr_cmp_d (temp, param.min_x) < 0)
mpfr_neg (x, x, MPFR_RNDN);
}
else
{
mpfr_mul (x, x, incr_x, MPFR_RNDU);
mpfr_set (temp, x, MPFR_RNDD);
mpfr_log2 (temp, temp, MPFR_RNDD);
if (mpfr_cmp_d (temp, param.max_x) > 0)
test=0;
}
}
}
prec = ( (param.logarithmic_scale_prec) ? (prec * incr_prec)
: (prec + incr_prec) );
fprintf (output, "\n");
}
free (t);
mpfr_clear (incr_x);
mpfr_clear (x);
mpfr_clear (x2);
mpfr_clear (temp);
return;
}
static void
check_random (FILE *fout, int nb_tests)
{
int i;
mpfr_t x;
mp_rnd_t rnd;
char flag[] =
{
'-',
'+',
' ',
'#',
'0', /* no ambiguity: first zeros are flag zero*/
'\''
};
char specifier[] =
{
'a',
'b',
'e',
'f',
'g'
};
mp_exp_t old_emin, old_emax;
old_emin = mpfr_get_emin ();
old_emax = mpfr_get_emax ();
mpfr_init (x);
for (i = 0; i < nb_tests; ++i)
{
int ret;
int j, jmax;
int spec, prec;
#define FMT_SIZE 13
char fmt[FMT_SIZE]; /* at most something like "%-+ #0'.*R*f" */
char *ptr = fmt;
tests_default_random (x, 256, MPFR_EMIN_MIN, MPFR_EMAX_MAX);
rnd = RND_RAND ();
spec = (int) (randlimb () % 5);
jmax = (spec == 3 || spec == 4) ? 6 : 5; /* ' flag only with %f or %g */
/* advantage small precision */
prec = (int) (randlimb () % ((randlimb () % 2) ? 10 : prec_max_printf));
if (spec == 3
&& (mpfr_get_exp (x) > prec_max_printf
|| mpfr_get_exp (x) < -prec_max_printf))
/* change style 'f' to style 'e' when number x is large */
--spec;
*ptr++ = '%';
for (j = 0; j < jmax; j++)
{
if (randlimb () % 3 == 0)
*ptr++ = flag[j];
}
*ptr++ = '.';
*ptr++ = '*';
*ptr++ = 'R';
*ptr++ = '*';
*ptr++ = specifier[spec];
*ptr = '\0';
MPFR_ASSERTD (ptr - fmt < FMT_SIZE);
mpfr_fprintf (fout, "mpfr_fprintf(fout, \"%s\", %d, %s, %Re)\n",
fmt, prec, mpfr_print_rnd_mode (rnd), x);
ret = mpfr_fprintf (fout, fmt, prec, rnd, x);
if (ret == -1)
{
if (spec == 3
&& (MPFR_GET_EXP (x) > INT_MAX || MPFR_GET_EXP (x) < -INT_MAX))
/* normal failure: x is too large to be output with full precision */
{
mpfr_fprintf (fout, "too large !");
}
else
{
mpfr_printf ("Error in mpfr_fprintf(fout, \"%s\", %d, %s, %Re)\n",
fmt, prec, mpfr_print_rnd_mode (rnd), x);
exit (1);
}
}
mpfr_fprintf (fout, "\n");
}
mpfr_set_emin (old_emin);
mpfr_set_emax (old_emax);
mpfr_clear (x);
}
static void
check_mixed (FILE *fout)
{
int ch = 'a';
#ifndef NPRINTF_HH
signed char sch = -1;
unsigned char uch = 1;
#endif
short sh = -1;
unsigned short ush = 1;
int i = -1;
int j = 1;
unsigned int ui = 1;
long lo = -1;
unsigned long ulo = 1;
float f = -1.25;
double d = -1.25;
#if !defined(NPRINTF_T) || !defined(NPRINTF_L)
long double ld = -1.25;
#endif
#ifndef NPRINTF_T
ptrdiff_t p = 1, saved_p;
#endif
size_t sz = 1;
mpz_t mpz;
mpq_t mpq;
mpf_t mpf;
mpfr_rnd_t rnd = MPFR_RNDN;
mp_size_t limb_size = 3;
mp_limb_t limb[3];
mpfr_t mpfr;
mpfr_prec_t prec = 53;
mpz_init (mpz);
mpz_set_ui (mpz, ulo);
mpq_init (mpq);
mpq_set_si (mpq, lo, ulo);
mpf_init (mpf);
mpf_set_q (mpf, mpq);
mpfr_init2 (mpfr, prec);
mpfr_set_f (mpfr, mpf, MPFR_RNDN);
limb[0] = limb[1] = limb[2] = ~ (mp_limb_t) 0;
check_vfprintf (fout, "a. %Ra, b. %u, c. %lx%n", mpfr, ui, ulo, &j);
check_length (1, j, 22, d);
check_vfprintf (fout, "a. %c, b. %Rb, c. %u, d. %li%ln", i, mpfr, i,
lo, &ulo);
check_length (2, ulo, 36, lu);
check_vfprintf (fout, "a. %hi, b. %*f, c. %Re%hn", ush, 3, f, mpfr, &ush);
check_length (3, ush, 29, hu);
check_vfprintf (fout, "a. %hi, b. %f, c. %#.2Rf%n", sh, d, mpfr, &i);
check_length (4, i, 29, d);
check_vfprintf (fout, "a. %R*A, b. %Fe, c. %i%zn", rnd, mpfr, mpf, sz,
&sz);
check_length (5, (unsigned long) sz, 34, lu); /* no format specifier "%zu" in C89 */
check_vfprintf (fout, "a. %Pu, b. %c, c. %Zi%Zn", prec, ch, mpz, &mpz);
check_length_with_cmp (6, mpz, 17, mpz_cmp_ui (mpz, 17), Zi);
check_vfprintf (fout, "%% a. %#.0RNg, b. %Qx%Rn, c. %p", mpfr, mpq, &mpfr,
(void *) &i);
check_length_with_cmp (7, mpfr, 15, mpfr_cmp_ui (mpfr, 15), Rg);
#ifndef NPRINTF_T
saved_p = p;
check_vfprintf (fout, "%% a. %RNg, b. %Qx, c. %td%tn", mpfr, mpq, p, &p);
if (p != 20)
mpfr_fprintf (stderr, "Error in test 8, got '%% a. %RNg, b. %Qx, c. %td'\n", mpfr, mpq, saved_p);
check_length (8, (long) p, 20, ld); /* no format specifier "%td" in C89 */
#endif
#ifndef NPRINTF_L
check_vfprintf (fout, "a. %RA, b. %Lf, c. %QX%zn", mpfr, ld, mpq, &sz);
check_length (9, (unsigned long) sz, 30, lu); /* no format specifier "%zu" in C89 */
#endif
#ifndef NPRINTF_HH
check_vfprintf (fout, "a. %hhi, b. %RA, c. %hhu%hhn", sch, mpfr, uch, &uch);
check_length (10, (unsigned int) uch, 22, u); /* no format specifier "%hhu" in C89 */
#endif
#if (__GNU_MP_VERSION * 10 + __GNU_MP_VERSION_MINOR) >= 42
/* The 'M' specifier was added in gmp 4.2.0 */
check_vfprintf (fout, "a. %Mx b. %Re%Mn", limb[0], mpfr, &limb[0]);
if (limb[0] != 14 + GMP_NUMB_BITS / 4 || limb[1] != ~ (mp_limb_t) 0
|| limb[2] != ~ (mp_limb_t) 0)
{
printf ("Error in test #11: mpfr_vfprintf did not print %d characters"
" as expected\n", 14 + (int) GMP_NUMB_BITS / 4);
exit (1);
}
limb[0] = ~ (mp_limb_t) 0;
/* we tell vfprintf that limb array is 2 cells wide
and check it doesn't go through */
check_vfprintf (fout, "a. %Re .b %Nx%Nn", mpfr, limb, limb_size, limb,
limb_size - 1);
if (limb[0] != 14 + 3 * GMP_NUMB_BITS / 4 || limb[1] != (mp_limb_t) 0
|| limb[2] != ~ (mp_limb_t) 0)
{
printf ("Error in test #12: mpfr_vfprintf did not print %d characters"
" as expected\n", 14 + (int) GMP_NUMB_BITS / 4);
exit (1);
}
#endif
#if defined(HAVE_LONG_LONG) && !defined(NPRINTF_LL)
{
long long llo = -1;
unsigned long long ullo = 1;
check_vfprintf (fout, "a. %Re, b. %llx%Qn", mpfr, ullo, &mpq);
check_length_with_cmp (21, mpq, 16, mpq_cmp_ui (mpq, 16, 1), Qu);
check_vfprintf (fout, "a. %lli, b. %Rf%Fn", llo, mpfr, &mpf);
check_length_with_cmp (22, mpf, 19, mpf_cmp_ui (mpf, 19), Fg);
}
#endif
#if defined(_MPFR_H_HAVE_INTMAX_T) && !defined(NPRINTF_J)
{
intmax_t im = -1;
uintmax_t uim = 1;
check_vfprintf (fout, "a. %*RA, b. %ji%Qn", 10, mpfr, im, &mpq);
check_length_with_cmp (31, mpq, 20, mpq_cmp_ui (mpq, 20, 1), Qu);
check_vfprintf (fout, "a. %.*Re, b. %jx%Fn", 10, mpfr, uim, &mpf);
check_length_with_cmp (32, mpf, 25, mpf_cmp_ui (mpf, 25), Fg);
}
#endif
mpfr_clear (mpfr);
mpf_clear (mpf);
mpq_clear (mpq);
mpz_clear (mpz);
}
static void
check_mixed (void)
{
int ch = 'a';
#ifndef NPRINTF_HH
signed char sch = -1;
unsigned char uch = 1;
#endif
short sh = -1;
unsigned short ush = 1;
int i = -1;
int j = 1;
unsigned int ui = 1;
long lo = -1;
unsigned long ulo = 1;
float f = -1.25;
double d = -1.25;
#if !defined(NPRINTF_T) || !defined(NPRINTF_L)
long double ld = -1.25;
#endif
#ifndef NPRINTF_T
ptrdiff_t p = 1, saved_p;
#endif
size_t sz = 1;
mpz_t mpz;
mpq_t mpq;
mpf_t mpf;
mpfr_rnd_t rnd = MPFR_RNDN;
mpfr_t mpfr;
mpfr_prec_t prec;
mpz_init (mpz);
mpz_set_ui (mpz, ulo);
mpq_init (mpq);
mpq_set_si (mpq, lo, ulo);
mpf_init (mpf);
mpf_set_q (mpf, mpq);
mpfr_init (mpfr);
mpfr_set_f (mpfr, mpf, MPFR_RNDN);
prec = mpfr_get_prec (mpfr);
check_vprintf ("a. %Ra, b. %u, c. %lx%n", mpfr, ui, ulo, &j);
check_length (1, j, 22, d);
check_vprintf ("a. %c, b. %Rb, c. %u, d. %li%ln", i, mpfr, i, lo, &ulo);
check_length (2, ulo, 36, lu);
check_vprintf ("a. %hi, b. %*f, c. %Re%hn", ush, 3, f, mpfr, &ush);
check_length (3, ush, 29, hu);
check_vprintf ("a. %hi, b. %f, c. %#.2Rf%n", sh, d, mpfr, &i);
check_length (4, i, 29, d);
check_vprintf ("a. %R*A, b. %Fe, c. %i%zn", rnd, mpfr, mpf, sz, &sz);
check_length (5, (unsigned long) sz, 34, lu); /* no format specifier '%zu' in C89 */
check_vprintf ("a. %Pu, b. %c, c. %RUG, d. %Zi%Zn", prec, ch, mpfr, mpz, &mpz);
check_length_with_cmp (6, mpz, 24, mpz_cmp_ui (mpz, 24), Zi);
check_vprintf ("%% a. %#.0RNg, b. %Qx%Rn c. %p",
mpfr, mpq, &mpfr, (void *) &i);
check_length_with_cmp (7, mpfr, 15, mpfr_cmp_ui (mpfr, 15), Rg);
#ifndef NPRINTF_T
saved_p = p;
check_vprintf ("%% a. %RNg, b. %Qx, c. %td%tn", mpfr, mpq, p, &p);
if (p != 20)
mpfr_fprintf (stderr, "Error in test 8, got '%% a. %RNg, b. %Qx, c. %td'\n", mpfr, mpq, saved_p);
check_length (8, (long) p, 20, ld); /* no format specifier '%td' in C89 */
#endif
#ifndef NPRINTF_L
check_vprintf ("a. %RA, b. %Lf, c. %QX%zn", mpfr, ld, mpq, &sz);
check_length (9, (unsigned long) sz, 30, lu); /* no format specifier '%zu' in C89 */
#endif
#ifndef NPRINTF_HH
check_vprintf ("a. %hhi, b. %Ra, c. %hhu%hhn", sch, mpfr, uch, &uch);
check_length (10, (unsigned int) uch, 22, u); /* no format specifier '%hhu' in C89 */
#endif
#if defined(HAVE_LONG_LONG) && !defined(NPRINTF_LL)
{
long long llo = -1;
unsigned long long ullo = 1;
check_vprintf ("a. %Re, b. %llx%Qn", mpfr, ullo, &mpq);
check_length_with_cmp (11, mpq, 16, mpq_cmp_ui (mpq, 16, 1), Qu);
check_vprintf ("a. %lli, b. %Rf%lln", llo, mpfr, &ullo);
check_length (12, ullo, 19, llu);
}
#endif
#if defined(_MPFR_H_HAVE_INTMAX_T) && !defined(NPRINTF_J)
{
intmax_t im = -1;
uintmax_t uim = 1;
check_vprintf ("a. %*RA, b. %ji%Fn", 10, mpfr, im, &mpf);
check_length_with_cmp (31, mpf, 20, mpf_cmp_ui (mpf, 20), Fg);
check_vprintf ("a. %.*Re, b. %jx%jn", 10, mpfr, uim, &im);
check_length (32, (long) im, 25, li); /* no format specifier "%ji" in C89 */
}
#endif
mpfr_clear (mpfr);
mpf_clear (mpf);
mpq_clear (mpq);
mpz_clear (mpz);
}
int fmpq_poly_oz_sqrt_approx_babylonian(fmpq_poly_t f_sqrt, const fmpq_poly_t f, const long n, const mpfr_prec_t prec, const mpfr_prec_t bound, oz_flag_t flags, const fmpq_poly_t init) {
fmpq_poly_t y; fmpq_poly_init(y);
fmpq_poly_t y_next; fmpq_poly_init(y_next);
mpfr_t norm; mpfr_init2(norm, prec);
mpfr_t prev_norm; mpfr_init2(prev_norm, prec);
if (init) {
fmpq_poly_set(y, init);
} else {
fmpq_poly_set(y, f);
}
mpfr_t log_f;
mpfr_init2(log_f, prec);
uint64_t t = oz_walltime(0);
int r = 0;
for(long k=0; ; k++) {
_fmpq_poly_oz_invert_approx(y_next, y, n, prec);
fmpq_poly_oz_mul(y_next, f, y_next, n);
fmpq_poly_add(y_next, y_next, y);
fmpq_poly_scalar_div_si(y_next, y_next, 2);
fmpq_poly_set(y, y_next);
r = _fmpq_poly_oz_sqrt_approx_break(norm, y, f, n, bound, prec);
if(flags & OZ_VERBOSE) {
mpfr_log2(log_f, norm, MPFR_RNDN);
mpfr_fprintf(stderr, "Computing sqrt(Σ):: k: %4d, Δ=|sqrt(Σ)^2-Σ|: %7.2Rf", k, log_f);
fprintf(stderr, " <? %4ld, ", -bound);
fprintf(stderr, "t: %8.2fs\n", oz_seconds(oz_walltime(t)));
fflush(0);
}
if(r) {
r = 0;
break;
}
if (k>0 && mpfr_cmp_ui_2exp(norm, 1, bound) >= 0) {
/* something went really wrong */
r = -1;
break;
}
mpfr_div_ui(prev_norm, prev_norm, 2, MPFR_RNDN);
if (k>0 && mpfr_cmp(norm, prev_norm) >= 0) {
/* we don't converge any more */
r = 1;
break;
}
mpfr_set(prev_norm, norm, MPFR_RNDN);
}
mpfr_clear(log_f);
fmpq_poly_set(f_sqrt, y);
mpfr_clear(norm);
mpfr_clear(prev_norm);
fmpq_poly_clear(y_next);
fmpq_poly_clear(y);
return r;
}
int fmpq_poly_oz_sqrt_approx_pade(fmpq_poly_t f_sqrt, const fmpq_poly_t f, const long n, const int p, const mpfr_prec_t prec, const mpfr_prec_t bound, oz_flag_t flags, const fmpq_poly_t init) {
fmpq_poly_t y; fmpq_poly_init(y);
fmpq_poly_t y_next; fmpq_poly_init(y_next);
fmpq_poly_t z; fmpq_poly_init(z);
fmpq_poly_t z_next; fmpq_poly_init(z_next);
mpfr_t norm; mpfr_init2(norm, prec);
mpfr_t prev_norm; mpfr_init2(prev_norm, prec);
mpfr_t log_f; mpfr_init2(log_f, prec);
if (init) {
// z = y/x
fmpq_poly_set(y, init);
_fmpq_poly_oz_invert_approx(z, f, n, prec);
fmpq_poly_oz_mul(z, z, y, n);
} else {
fmpq_poly_set(y, f);
fmpq_poly_set_coeff_si(z, 0, 1);
}
fmpq_t *xi = (fmpq_t*)calloc(p, sizeof(fmpq_t));
fmpq_t *a2 = (fmpq_t*)calloc(p, sizeof(fmpq_t));
fmpq_t *c = (fmpq_t*)calloc(p, sizeof(fmpq_t));
fmpq_poly_t *t_ = (fmpq_poly_t*)calloc(p, sizeof(fmpq_poly_t));
fmpq_poly_t *s_ = (fmpq_poly_t*)calloc(p, sizeof(fmpq_poly_t));
mpfr_t pi; mpfr_init2(pi, 4*prec);
mpfr_const_pi(pi, MPFR_RNDN);
#pragma omp parallel for
for(int i=0; i<p; i++) {
mpfr_t xi_r; mpfr_init2(xi_r, 4*prec);
mpfr_t a2_r; mpfr_init2(a2_r, 4*prec);
/* ζ_i = 1/2 * (1 + cos( (2·i -1)·π/(2·p) )) */
mpfr_set_si(xi_r, 2*i+1, MPFR_RNDN);
mpfr_mul(xi_r, xi_r, pi, MPFR_RNDN);
mpfr_div_si(xi_r, xi_r, 2*p, MPFR_RNDN);
mpfr_cos(xi_r, xi_r, MPFR_RNDN);
mpfr_add_si(xi_r, xi_r, 1, MPFR_RNDN);
mpfr_div_si(xi_r, xi_r, 2, MPFR_RNDN);
/* α_i^2 = 1/ζ_i -1 */
mpfr_set_si(a2_r, 1, MPFR_RNDN);
mpfr_div(a2_r, a2_r, xi_r, MPFR_RNDN);
mpfr_sub_si(a2_r, a2_r, 1, MPFR_RNDN);
fmpq_init(xi[i]);
fmpq_init(a2[i]);
fmpq_set_mpfr(xi[i], xi_r, MPFR_RNDN);
fmpq_set_mpfr(a2[i], a2_r, MPFR_RNDN);
fmpq_init(c[i]);
fmpq_poly_init(t_[i]);
fmpq_poly_init(s_[i]);
mpfr_clear(xi_r);
mpfr_clear(a2_r);
}
mpfr_clear(pi);
uint64_t t = oz_walltime(0);
int r = 0;
int cont = 1;
for(long k=0; cont; k++) {
if (k == 0 || mpfr_cmp_ui(prev_norm, 1) > 0)
_fmpq_poly_oz_sqrt_approx_scale(y, z, n, prec);
/* T = sum([1/xi[i] * ~(Z*Y + a2[i]) for i in range(p)]) */
#pragma omp parallel for
for(int i=0; i<p; i++) {
fmpq_poly_oz_mul(t_[i], z, y, n);
fmpq_poly_get_coeff_fmpq(c[i], t_[i], 0);
fmpq_add(c[i], c[i], a2[i]);
fmpq_poly_set_coeff_fmpq(t_[i], 0, c[i]);
fmpq_poly_scalar_mul_fmpq(t_[i], t_[i], xi[i]);
_fmpq_poly_oz_invert_approx(s_[i], t_[i], n, prec);
}
for(int i=1; i<p; i++)
fmpq_poly_add(s_[0], s_[0], s_[i]);
#pragma omp parallel sections
{
#pragma omp section
{
fmpq_poly_oz_mul(y_next, y, s_[0], n);
fmpq_poly_scalar_div_si(y_next, y_next, p);
fmpq_poly_set(y, y_next);
}
#pragma omp section
{
fmpq_poly_oz_mul(z_next, z, s_[0], n);
fmpq_poly_scalar_div_si(z_next, z_next, p);
fmpq_poly_set(z, z_next);
}
}
cont = !_fmpq_poly_oz_sqrt_approx_break(norm, y, f, n, bound, prec);
if(flags & OZ_VERBOSE) {
mpfr_log2(log_f, norm, MPFR_RNDN);
mpfr_fprintf(stderr, "Computing sqrt(Σ):: k: %4d, Δ=|sqrt(Σ)^2-Σ|: %7.2Rf", k, log_f);
fprintf(stderr, " <? %4ld, ", -bound);
fprintf(stderr, "t: %8.2fs\n", oz_seconds(oz_walltime(t)));
fflush(0);
}
if (cont) {
if (k>0 && mpfr_cmp_ui_2exp(norm, 1, bound) >= 0) {
/* something went really wrong */
r = -1;
break;
}
if (k>0 && mpfr_cmp(norm, prev_norm) >= 0) {
/* we don't converge any more */
r = 1;
break;
}
mpfr_set(prev_norm, norm, MPFR_RNDN);
}
}
for(int i=0; i<p; i++) {
fmpq_clear(xi[i]);
fmpq_clear(a2[i]);
fmpq_clear(c[i]);
fmpq_poly_clear(t_[i]);
fmpq_poly_clear(s_[i]);
}
free(xi);
free(a2);
free(c);
free(t_);
free(s_);
mpfr_clear(log_f);
fmpq_poly_set(f_sqrt, y);
mpfr_clear(norm);
mpfr_clear(prev_norm);
fmpq_poly_clear(y_next);
fmpq_poly_clear(y);
fmpq_poly_clear(z_next);
fmpq_poly_clear(z);
return r;
}
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;
}
/* VARARGS2 */
void
err(bool isfatal, const char *s, const char *emsg, va_list argp)
{
char *file;
const char *me;
static bool first = true;
static bool add_src_info = false;
if (first) {
first = false;
add_src_info = (getenv("GAWK_MSG_SRC") != NULL);
}
(void) fflush(output_fp);
me = myname;
(void) fprintf(stderr, "%s: ", me);
if (srcfile != NULL && add_src_info) {
fprintf(stderr, "%s:%d:", srcfile, srcline);
srcfile = NULL;
}
if (sourceline > 0) {
if (source != NULL)
(void) fprintf(stderr, "%s:", source);
else
(void) fprintf(stderr, _("cmd. line:"));
(void) fprintf(stderr, "%d: ", sourceline);
}
#ifdef HAVE_MPFR
if (FNR_node && is_mpg_number(FNR_node->var_value)) {
NODE *val;
val = mpg_update_var(FNR_node);
assert((val->flags & MPZN) != 0);
if (mpz_sgn(val->mpg_i) > 0) {
file = FILENAME_node->var_value->stptr;
(void) putc('(', stderr);
if (file)
(void) fprintf(stderr, "FILENAME=%s ", file);
(void) mpfr_fprintf(stderr, "FNR=%Zd) ", val->mpg_i);
}
} else
#endif
if (FNR > 0) {
file = FILENAME_node->var_value->stptr;
(void) putc('(', stderr);
if (file)
(void) fprintf(stderr, "FILENAME=%s ", file);
(void) fprintf(stderr, "FNR=%ld) ", FNR);
}
(void) fprintf(stderr, "%s", s);
vfprintf(stderr, emsg, argp);
(void) fprintf(stderr, "\n");
(void) fflush(stderr);
if (isfatal) {
#ifdef GAWKDEBUG
abort();
#endif
gawk_exit(EXIT_FATAL);
}
}
