from sage.libs.gmp.all cimport mp_exp_t, mp_size_t, gmp_randstate_t, mpz_t, mpq_t
cdef extern from "mpfr.h":
ctypedef struct __mpfr_struct:
pass
#ctypedef __mpfr_struct mpfr_t[1]
ctypedef __mpfr_struct* mpfr_t
ctypedef mpfr_t mpfr_ptr
ctypedef mpfr_t mpfr_srcptr
ctypedef enum mpfr_rnd_t:
GMP_RNDN = 0
GMP_RNDZ = 1
GMP_RNDU = 2
GMP_RNDD = 3
GMP_RND_MAX = 4
GMP_RNDNA = -1
ctypedef mpfr_rnd_t mp_rnd_t
ctypedef long mp_prec_t
int MPFR_PREC_MIN, MPFR_PREC_MAX
# Initialization Functions
void mpfr_init2 (mpfr_t x, mp_prec_t prec)
void mpfr_clear (mpfr_t x)
void mpfr_init (mpfr_t x)
void mpfr_set_default_prec (mp_prec_t prec)
mp_prec_t mpfr_get_default_prec ()
void mpfr_set_prec (mpfr_t x, mp_prec_t prec)
mp_prec_t mpfr_get_prec (mpfr_t x)
# Assignment Functions
int mpfr_set (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_set_ui (mpfr_t rop, unsigned long int op, mp_rnd_t rnd)
int mpfr_set_si (mpfr_t rop, long int op, mp_rnd_t rnd)
# int mpfr_set_uj (mpfr_t rop, uintmax_t op, mp_rnd_t rnd)
# int mpfr_set_sj (mpfr_t rop, intmax_t op, mp_rnd_t rnd)
int mpfr_set_d (mpfr_t rop, double op, mp_rnd_t rnd)
int mpfr_set_ld (mpfr_t rop, long double op, mp_rnd_t rnd)
# int mpfr_set_decimal64 (mpfr_t rop, _Decimal64 op, mp_rnd_t rnd)
int mpfr_set_z (mpfr_t rop, mpz_t op, mp_rnd_t rnd)
int mpfr_set_q (mpfr_t rop, mpq_t op, mp_rnd_t rnd)
# int mpfr_set_f (mpfr_t rop, mpf_t op, mp_rnd_t rnd)
int mpfr_set_ui_2exp (mpfr_t rop, unsigned long int op, mp_exp_t e, mp_rnd_t rnd)
int mpfr_set_si_2exp (mpfr_t rop, long int op, mp_exp_t e, mp_rnd_t rnd)
# int mpfr_set_uj_2exp (mpfr_t rop, uintmax_t op, intmax_t e, mp_rnd_t rnd)
# int mpfr_set_sj_2exp (mpfr_t rop, intmax_t op, intmax_t e, mp_rnd_t rnd)
int mpfr_set_str (mpfr_t rop, char *s, int base, mp_rnd_t rnd)
int mpfr_strtofr (mpfr_t rop, char *nptr, char **endptr, int base, mp_rnd_t rnd)
void mpfr_set_inf (mpfr_t x, int sign)
void mpfr_set_nan (mpfr_t x)
void mpfr_swap (mpfr_t x, mpfr_t y)
# Combined Initialization and Assignment Functions
int mpfr_init_set (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_init_set_ui (mpfr_t rop, unsigned long int op, mp_rnd_t rnd)
int mpfr_init_set_si (mpfr_t rop, signed long int op, mp_rnd_t rnd)
int mpfr_init_set_d (mpfr_t rop, double op, mp_rnd_t rnd)
int mpfr_init_set_ld (mpfr_t rop, long double op, mp_rnd_t rnd)
int mpfr_init_set_z (mpfr_t rop, mpz_t op, mp_rnd_t rnd)
int mpfr_init_set_q (mpfr_t rop, mpq_t op, mp_rnd_t rnd)
# int mpfr_init_set_f (mpfr_t rop, mpf_t op, mp_rnd_t rnd)
int mpfr_init_set_str (mpfr_t x, char *s, int base, mp_rnd_t rnd)
# Conversion Functions
double mpfr_get_d (mpfr_t op, mp_rnd_t rnd)
long double mpfr_get_ld (mpfr_t op, mp_rnd_t rnd)
# _Decimal64 mpfr_get_decimal64 (mpfr_t op, mp_rnd_t rnd)
double mpfr_get_d_2exp (long *exp, mpfr_t op, mp_rnd_t rnd)
long double mpfr_get_ld_2exp (long *exp, mpfr_t op, mp_rnd_t rnd)
long mpfr_get_si (mpfr_t op, mp_rnd_t rnd)
unsigned long mpfr_get_ui (mpfr_t op, mp_rnd_t rnd)
# intmax_t mpfr_get_sj (mpfr_t op, mp_rnd_t rnd)
# uintmax_t mpfr_get_uj (mpfr_t op, mp_rnd_t rnd)
mp_exp_t mpfr_get_z_exp (mpz_t rop, mpfr_t op)
void mpfr_get_z (mpz_t rop, mpfr_t op, mp_rnd_t rnd)
# int mpfr_get_f (mpf_t rop, mpfr_t op, mp_rnd_t rnd)
char * mpfr_get_str (char *str, mp_exp_t *expptr, int b, size_t n, mpfr_t op, mp_rnd_t rnd)
void mpfr_free_str (char *str)
bint mpfr_fits_ulong_p (mpfr_t op, mp_rnd_t rnd)
bint mpfr_fits_slong_p (mpfr_t op, mp_rnd_t rnd)
bint mpfr_fits_uint_p (mpfr_t op, mp_rnd_t rnd)
bint mpfr_fits_sint_p (mpfr_t op, mp_rnd_t rnd)
bint mpfr_fits_ushort_p (mpfr_t op, mp_rnd_t rnd)
bint mpfr_fits_sshort_p (mpfr_t op, mp_rnd_t rnd)
bint mpfr_fits_intmax_p (mpfr_t op, mp_rnd_t rnd)
bint mpfr_fits_uintmax_p (mpfr_t op, mp_rnd_t rnd)
# Basic Arithmetic Functions
int mpfr_add (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_add_ui (mpfr_t rop, mpfr_t op1, unsigned long int op2, mp_rnd_t rnd)
int mpfr_add_si (mpfr_t rop, mpfr_t op1, long int op2, mp_rnd_t rnd)
int mpfr_add_z (mpfr_t rop, mpfr_t op1, mpz_t op2, mp_rnd_t rnd)
int mpfr_add_q (mpfr_t rop, mpfr_t op1, mpq_t op2, mp_rnd_t rnd)
int mpfr_sub (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_ui_sub (mpfr_t rop, unsigned long int op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_sub_ui (mpfr_t rop, mpfr_t op1, unsigned long int op2, mp_rnd_t rnd)
int mpfr_si_sub (mpfr_t rop, long int op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_sub_si (mpfr_t rop, mpfr_t op1, long int op2, mp_rnd_t rnd)
int mpfr_sub_z (mpfr_t rop, mpfr_t op1, mpz_t op2, mp_rnd_t rnd)
int mpfr_sub_q (mpfr_t rop, mpfr_t op1, mpq_t op2, mp_rnd_t rnd)
int mpfr_mul (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_mul_ui (mpfr_t rop, mpfr_t op1, unsigned long int op2, mp_rnd_t rnd)
int mpfr_mul_si (mpfr_t rop, mpfr_t op1, long int op2, mp_rnd_t rnd)
int mpfr_mul_z (mpfr_t rop, mpfr_t op1, mpz_t op2, mp_rnd_t rnd)
int mpfr_mul_q (mpfr_t rop, mpfr_t op1, mpq_t op2, mp_rnd_t rnd)
int mpfr_sqr (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_div (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_ui_div (mpfr_t rop, unsigned long int op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_div_ui (mpfr_t rop, mpfr_t op1, unsigned long int op2, mp_rnd_t rnd)
int mpfr_si_div (mpfr_t rop, long int op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_div_si (mpfr_t rop, mpfr_t op1, long int op2, mp_rnd_t rnd)
int mpfr_div_z (mpfr_t rop, mpfr_t op1, mpz_t op2, mp_rnd_t rnd)
int mpfr_div_q (mpfr_t rop, mpfr_t op1, mpq_t op2, mp_rnd_t rnd)
int mpfr_sqrt (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_sqrt_ui (mpfr_t rop, unsigned long int op, mp_rnd_t rnd)
int mpfr_cbrt (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_root (mpfr_t rop, mpfr_t op, unsigned long int k, mp_rnd_t rnd)
int mpfr_pow (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_pow_ui (mpfr_t rop, mpfr_t op1, unsigned long int op2, mp_rnd_t rnd)
int mpfr_pow_si (mpfr_t rop, mpfr_t op1, long int op2, mp_rnd_t rnd)
int mpfr_pow_z (mpfr_t rop, mpfr_t op1, mpz_t op2, mp_rnd_t rnd)
int mpfr_ui_pow_ui (mpfr_t rop, unsigned long int op1, unsigned long int op2, mp_rnd_t rnd)
int mpfr_ui_pow (mpfr_t rop, unsigned long int op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_neg (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_abs (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_dim (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_mul_2ui (mpfr_t rop, mpfr_t op1, unsigned long int op2, mp_rnd_t rnd)
int mpfr_mul_2si (mpfr_t rop, mpfr_t op1, long int op2, mp_rnd_t rnd)
int mpfr_div_2ui (mpfr_t rop, mpfr_t op1, unsigned long int op2, mp_rnd_t rnd)
int mpfr_div_2si (mpfr_t rop, mpfr_t op1, long int op2, mp_rnd_t rnd)
# Comparison Functions
int mpfr_cmp (mpfr_t op1, mpfr_t op2)
int mpfr_cmp_ui (mpfr_t op1, unsigned long int op2)
int mpfr_cmp_si (mpfr_t op1, signed long int op2)
int mpfr_cmp_d (mpfr_t op1, double op2)
int mpfr_cmp_ld (mpfr_t op1, long double op2)
int mpfr_cmp_z (mpfr_t op1, mpz_t op2)
int mpfr_cmp_q (mpfr_t op1, mpq_t op2)
# int mpfr_cmp_f (mpfr_t op1, mpf_t op2)
int mpfr_cmp_ui_2exp (mpfr_t op1, unsigned long int op2, mp_exp_t e)
int mpfr_cmp_si_2exp (mpfr_t op1, long int op2, mp_exp_t e)
int mpfr_cmpabs (mpfr_t op1, mpfr_t op2)
bint mpfr_nan_p (mpfr_t op)
bint mpfr_inf_p (mpfr_t op)
bint mpfr_number_p (mpfr_t op)
bint mpfr_zero_p (mpfr_t op)
int mpfr_sgn (mpfr_t op)
bint mpfr_greater_p (mpfr_t op1, mpfr_t op2)
bint mpfr_greaterequal_p (mpfr_t op1, mpfr_t op2)
bint mpfr_less_p (mpfr_t op1, mpfr_t op2)
bint mpfr_lessequal_p (mpfr_t op1, mpfr_t op2)
bint mpfr_lessgreater_p (mpfr_t op1, mpfr_t op2)
bint mpfr_equal_p (mpfr_t op1, mpfr_t op2)
bint mpfr_unordered_p (mpfr_t op1, mpfr_t op2)
# Special Functions
int mpfr_log (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_log2 (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_log10 (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_exp (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_exp2 (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_exp10 (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_cos (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_sin (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_tan (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_sec (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_csc (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_cot (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_sin_cos (mpfr_t sop, mpfr_t cop, mpfr_t op, mp_rnd_t rnd)
int mpfr_acos (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_asin (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_atan (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_atan2 (mpfr_t rop, mpfr_t y, mpfr_t x, mp_rnd_t rnd)
int mpfr_cosh (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_sinh (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_tanh (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_sech (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_csch (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_coth (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_acosh (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_asinh (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_atanh (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_fac_ui (mpfr_t rop, unsigned long int op, mp_rnd_t rnd)
int mpfr_log1p (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_expm1 (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_eint (mpfr_t y, mpfr_t x, mp_rnd_t rnd)
int mpfr_gamma (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_lngamma (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_lgamma (mpfr_t rop, int *signp, mpfr_t op, mp_rnd_t rnd)
int mpfr_zeta (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_zeta_ui (mpfr_t rop, unsigned long op, mp_rnd_t rnd)
int mpfr_erf (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_erfc (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_j0 (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_j1 (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_jn (mpfr_t rop, long n, mpfr_t op, mp_rnd_t rnd)
int mpfr_y0 (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_y1 (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_yn (mpfr_t rop, long n, mpfr_t op, mp_rnd_t rnd)
int mpfr_fma (mpfr_t rop, mpfr_t op1, mpfr_t op2, mpfr_t op3, mp_rnd_t rnd)
int mpfr_fms (mpfr_t rop, mpfr_t op1, mpfr_t op2, mpfr_t op3, mp_rnd_t rnd)
int mpfr_agm (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_hypot (mpfr_t rop, mpfr_t x, mpfr_t y, mp_rnd_t rnd)
int mpfr_const_log2 (mpfr_t rop, mp_rnd_t rnd)
int mpfr_const_pi (mpfr_t rop, mp_rnd_t rnd)
int mpfr_const_euler (mpfr_t rop, mp_rnd_t rnd)
int mpfr_const_catalan (mpfr_t rop, mp_rnd_t rnd)
void mpfr_free_cache ()
int mpfr_sum (mpfr_t rop, mpfr_ptr tab[], unsigned long n, mp_rnd_t rnd)
# Input and Output Functions
# size_t mpfr_out_str (file *stream, int base, size_t n, mpfr_t op, mp_rnd_t rnd)
# size_t mpfr_inp_str (mpfr_t rop, file *stream, int base, mp_rnd_t rnd)
# Integer Related Functions
int mpfr_rint (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_ceil (mpfr_t rop, mpfr_t op)
int mpfr_floor (mpfr_t rop, mpfr_t op)
int mpfr_round (mpfr_t rop, mpfr_t op)
int mpfr_trunc (mpfr_t rop, mpfr_t op)
int mpfr_rint_ceil (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_rint_floor (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_rint_round (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_rint_trunc (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_frac (mpfr_t rop, mpfr_t op, mp_rnd_t rnd)
int mpfr_remainder (mpfr_t r, mpfr_t x, mpfr_t y, mp_rnd_t rnd)
int mpfr_remquo (mpfr_t r, long* q, mpfr_t x, mpfr_t y, mp_rnd_t rnd)
bint mpfr_integer_p (mpfr_t op)
# Miscellaneous Functions
void mpfr_nexttoward (mpfr_t x, mpfr_t y)
void mpfr_nextabove (mpfr_t x)
void mpfr_nextbelow (mpfr_t x)
int mpfr_min (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_max (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_urandomb (mpfr_t rop, gmp_randstate_t state)
void mpfr_random (mpfr_t rop)
void mpfr_random2 (mpfr_t rop, mp_size_t size, mp_exp_t exp)
mp_exp_t mpfr_get_exp (mpfr_t x)
int mpfr_set_exp (mpfr_t x, mp_exp_t e)
int mpfr_signbit (mpfr_t op)
int mpfr_setsign (mpfr_t rop, mpfr_t op, int s, mp_rnd_t rnd)
int mpfr_copysign (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
char * mpfr_get_version ()
long MPFR_VERSION_NUM (major, minor, patchlevel)
char * mpfr_get_patches ()
# Rounding Mode Related Functions
void mpfr_set_default_rounding_mode (mp_rnd_t rnd)
mp_rnd_t mpfr_get_default_rounding_mode ()
int mpfr_prec_round (mpfr_t x, mp_prec_t prec, mp_rnd_t rnd)
int mpfr_round_prec (mpfr_t x, mp_rnd_t rnd, mp_prec_t prec)
char * mpfr_print_rnd_mode (mp_rnd_t rnd)
# Exception Related Functions
mp_exp_t mpfr_get_emin ()
mp_exp_t mpfr_get_emax ()
int mpfr_set_emin (mp_exp_t exp)
int mpfr_set_emax (mp_exp_t exp)
mp_exp_t mpfr_get_emin_min ()
mp_exp_t mpfr_get_emin_max ()
mp_exp_t mpfr_get_emax_min ()
mp_exp_t mpfr_get_emax_max ()
int mpfr_check_range (mpfr_t x, int t, mp_rnd_t rnd)
int mpfr_subnormalize (mpfr_t x, int t, mp_rnd_t rnd)
void mpfr_clear_underflow ()
void mpfr_clear_overflow ()
void mpfr_clear_nanflag ()
void mpfr_clear_inexflag ()
void mpfr_clear_erangeflag ()
void mpfr_set_underflow ()
void mpfr_set_overflow ()
void mpfr_set_nanflag ()
void mpfr_set_inexflag ()
void mpfr_set_erangeflag ()
void mpfr_clear_flags ()
bint mpfr_underflow_p ()
bint mpfr_overflow_p ()
bint mpfr_nanflag_p ()
bint mpfr_inexflag_p ()
bint mpfr_erangeflag_p ()
# Advanced Functions
MPFR_DECL_INIT (name, prec)
void mpfr_inits (mpfr_t x, ...)
void mpfr_inits2 (mp_prec_t prec, mpfr_t x, ...)
void mpfr_clears (mpfr_t x, ...)
# Compatibility With MPF
void mpfr_set_prec_raw (mpfr_t x, mp_prec_t prec)
int mpfr_eq (mpfr_t op1, mpfr_t op2, unsigned long int op3)
void mpfr_reldiff (mpfr_t rop, mpfr_t op1, mpfr_t op2, mp_rnd_t rnd)
int mpfr_mul_2exp (mpfr_t rop, mpfr_t op1, unsigned long int op2, mp_rnd_t rnd)
int mpfr_div_2exp (mpfr_t rop, mpfr_t op1, unsigned long int op2, mp_rnd_t rnd)
# Custom Interface
size_t mpfr_custom_get_size (mp_prec_t prec)
void mpfr_custom_init (void *significand, mp_prec_t prec)
void mpfr_custom_init_set (mpfr_t x, int kind, mp_exp_t exp, mp_prec_t prec, void *significand)
int mpfr_custom_get_kind (mpfr_t x)
void * mpfr_custom_get_mantissa (mpfr_t x)
mp_exp_t mpfr_custom_get_exp (mpfr_t x)
void mpfr_custom_move (mpfr_t x, void *new_position)
# Internals
int mpfr_can_round (mpfr_t b, mp_exp_t err, mp_rnd_t rnd1, mp_rnd_t rnd2, mp_prec_t prec)
double mpfr_get_d1 (mpfr_t op)
