#ifndef SCM_NUMBERS_H
#define SCM_NUMBERS_H
#include <gmp.h>
#include "libguile/__scm.h"
#include "libguile/print.h"
#ifndef SCM_T_WCHAR_DEFINED
typedef scm_t_int32 scm_t_wchar;
#define SCM_T_WCHAR_DEFINED
#endif
#define SCM_I_FIXNUM_BIT (SCM_LONG_BIT - 2)
#define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
#define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM-1)
#if (-1 >> 2 == -1) && (-4 >> 2 == -1) && (-5 >> 2 == -2) && (-8 >> 2 == -2)
# define SCM_SRS(x, y) ((x) >> (y))
#else
# define SCM_SRS(x, y) \
((x) < 0 \
? -1 - (scm_t_signed_bits) (~(scm_t_bits)(x) >> (y)) \
: ((x) >> (y)))
#endif
#ifdef __GNUC__
# define SCM_I_INUM(x) (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))
#else
# define SCM_I_INUM(x) \
(SCM_UNPACK (x) > LONG_MAX \
? -1 - (scm_t_signed_bits) (~SCM_UNPACK (x) >> 2) \
: (scm_t_signed_bits) (SCM_UNPACK (x) >> 2))
#endif
#define SCM_I_INUMP(x) (2 & SCM_UNPACK (x))
#define SCM_I_NINUMP(x) (!SCM_I_INUMP (x))
#define SCM_I_MAKINUM(x) \
(SCM_PACK ((((scm_t_bits) (x)) << 2) + scm_tc2_int))
#define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
#define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
#define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))
#define SCM_INUM0 (SCM_I_MAKINUM (0))
#define SCM_INUM1 (SCM_I_MAKINUM (1))
#if SCM_HAVE_STDC_HEADERS
# ifndef GO32
# include <float.h>
# ifdef __MINGW32__
# define copysign _copysign
# define finite _finite
# endif
# endif
#endif
#ifdef DBL_MAX_10_EXP
# define SCM_MAXEXP DBL_MAX_10_EXP
#else
# define SCM_MAXEXP 308
#endif
#ifdef FLT_MAX
# define SCM_FLTMAX FLT_MAX
#else
# define SCM_FLTMAX 1e+23
#endif
#define SCM_INTBUFLEN (5 + SCM_CHAR_BIT*sizeof(scm_t_intmax))
#define scm_tc16_big (scm_tc7_number + 1 * 256L)
#define scm_tc16_real (scm_tc7_number + 2 * 256L)
#define scm_tc16_complex (scm_tc7_number + 3 * 256L)
#define scm_tc16_fraction (scm_tc7_number + 4 * 256L)
#define SCM_INEXACTP(x) \
(!SCM_IMP (x) && (0xfeff & SCM_CELL_TYPE (x)) == scm_tc16_real)
#define SCM_REALP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_real)
#define SCM_COMPLEXP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
#define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
#define SCM_COMPLEX_REAL(x) (((scm_t_complex *) SCM2PTR (x))->real)
#define SCM_COMPLEX_IMAG(x) (((scm_t_complex *) SCM2PTR (x))->imag)
#define SCM_I_BIG_MPZ(x) (*((mpz_t *) (SCM_CELL_OBJECT_LOC((x),1))))
#define SCM_BIGP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_big)
#define SCM_NUMBERP(x) (SCM_I_INUMP(x) || SCM_NUMP(x))
#define SCM_NUMP(x) (!SCM_IMP(x) \
&& ((0x00ff & SCM_CELL_TYPE (x)) == scm_tc7_number))
#define SCM_FRACTIONP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_fraction)
#define SCM_FRACTION_NUMERATOR(x) (SCM_CELL_OBJECT_1 (x))
#define SCM_FRACTION_DENOMINATOR(x) (SCM_CELL_OBJECT_2 (x))
typedef struct scm_t_double
{
SCM type;
SCM pad;
double real;
} scm_t_double;
typedef struct scm_t_complex
{
SCM type;
SCM pad;
double real;
double imag;
} scm_t_complex;
SCM_API SCM scm_exact_p (SCM x);
SCM_API int scm_is_exact (SCM x);
SCM_API SCM scm_odd_p (SCM n);
SCM_API SCM scm_even_p (SCM n);
SCM_API SCM scm_finite_p (SCM x);
SCM_API SCM scm_inf_p (SCM x);
SCM_API SCM scm_nan_p (SCM x);
SCM_API SCM scm_inf (void);
SCM_API SCM scm_nan (void);
SCM_API SCM scm_abs (SCM x);
SCM_API SCM scm_quotient (SCM x, SCM y);
SCM_API SCM scm_remainder (SCM x, SCM y);
SCM_API SCM scm_modulo (SCM x, SCM y);
SCM_API void scm_euclidean_divide (SCM x, SCM y, SCM *q, SCM *r);
SCM_API SCM scm_euclidean_quotient (SCM x, SCM y);
SCM_API SCM scm_euclidean_remainder (SCM x, SCM y);
SCM_API void scm_floor_divide (SCM x, SCM y, SCM *q, SCM *r);
SCM_API SCM scm_floor_quotient (SCM x, SCM y);
SCM_API SCM scm_floor_remainder (SCM x, SCM y);
SCM_API void scm_ceiling_divide (SCM x, SCM y, SCM *q, SCM *r);
SCM_API SCM scm_ceiling_quotient (SCM x, SCM y);
SCM_API SCM scm_ceiling_remainder (SCM x, SCM y);
SCM_API void scm_truncate_divide (SCM x, SCM y, SCM *q, SCM *r);
SCM_API SCM scm_truncate_quotient (SCM x, SCM y);
SCM_API SCM scm_truncate_remainder (SCM x, SCM y);
SCM_API void scm_centered_divide (SCM x, SCM y, SCM *q, SCM *r);
SCM_API SCM scm_centered_quotient (SCM x, SCM y);
SCM_API SCM scm_centered_remainder (SCM x, SCM y);
SCM_API void scm_round_divide (SCM x, SCM y, SCM *q, SCM *r);
SCM_API SCM scm_round_quotient (SCM x, SCM y);
SCM_API SCM scm_round_remainder (SCM x, SCM y);
SCM_API SCM scm_gcd (SCM x, SCM y);
SCM_API SCM scm_lcm (SCM n1, SCM n2);
SCM_API SCM scm_logand (SCM n1, SCM n2);
SCM_API SCM scm_logior (SCM n1, SCM n2);
SCM_API SCM scm_logxor (SCM n1, SCM n2);
SCM_API SCM scm_logtest (SCM n1, SCM n2);
SCM_API SCM scm_logbit_p (SCM n1, SCM n2);
SCM_API SCM scm_lognot (SCM n);
SCM_API SCM scm_modulo_expt (SCM n, SCM k, SCM m);
SCM_API SCM scm_integer_expt (SCM z1, SCM z2);
SCM_API SCM scm_ash (SCM n, SCM count);
SCM_API SCM scm_round_ash (SCM n, SCM count);
SCM_API SCM scm_bit_extract (SCM n, SCM start, SCM end);
SCM_API SCM scm_logcount (SCM n);
SCM_API SCM scm_integer_length (SCM n);
SCM_INTERNAL SCM scm_i_euclidean_divide (SCM x, SCM y);
SCM_INTERNAL SCM scm_i_floor_divide (SCM x, SCM y);
SCM_INTERNAL SCM scm_i_ceiling_divide (SCM x, SCM y);
SCM_INTERNAL SCM scm_i_truncate_divide (SCM x, SCM y);
SCM_INTERNAL SCM scm_i_centered_divide (SCM x, SCM y);
SCM_INTERNAL SCM scm_i_round_divide (SCM x, SCM y);
SCM_INTERNAL SCM scm_i_gcd (SCM x, SCM y, SCM rest);
SCM_INTERNAL SCM scm_i_lcm (SCM x, SCM y, SCM rest);
SCM_INTERNAL SCM scm_i_logand (SCM x, SCM y, SCM rest);
SCM_INTERNAL SCM scm_i_logior (SCM x, SCM y, SCM rest);
SCM_INTERNAL SCM scm_i_logxor (SCM x, SCM y, SCM rest);
SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p);
SCM_API size_t scm_iuint2str (scm_t_uintmax num, int rad, char *p);
SCM_API SCM scm_number_to_string (SCM x, SCM radix);
SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
SCM_API SCM scm_c_locale_stringn_to_number (const char *mem, size_t len,
unsigned int radix);
SCM_INTERNAL SCM scm_i_string_to_number (SCM str, unsigned int radix);
SCM_API SCM scm_string_to_number (SCM str, SCM radix);
SCM_API SCM scm_bigequal (SCM x, SCM y);
SCM_API SCM scm_real_equalp (SCM x, SCM y);
SCM_API SCM scm_complex_equalp (SCM x, SCM y);
SCM_API SCM scm_number_p (SCM x);
SCM_API SCM scm_complex_p (SCM x);
SCM_API SCM scm_real_p (SCM x);
SCM_API SCM scm_rational_p (SCM z);
SCM_API SCM scm_integer_p (SCM x);
SCM_API SCM scm_exact_integer_p (SCM x);
SCM_API SCM scm_inexact_p (SCM x);
SCM_API int scm_is_inexact (SCM x);
SCM_API SCM scm_num_eq_p (SCM x, SCM y);
SCM_API SCM scm_less_p (SCM x, SCM y);
SCM_API SCM scm_gr_p (SCM x, SCM y);
SCM_API SCM scm_leq_p (SCM x, SCM y);
SCM_API SCM scm_geq_p (SCM x, SCM y);
SCM_API SCM scm_zero_p (SCM z);
SCM_API SCM scm_positive_p (SCM x);
SCM_API SCM scm_negative_p (SCM x);
SCM_API SCM scm_max (SCM x, SCM y);
SCM_API SCM scm_min (SCM x, SCM y);
SCM_API SCM scm_sum (SCM x, SCM y);
SCM_API SCM scm_oneplus (SCM x);
SCM_API SCM scm_difference (SCM x, SCM y);
SCM_API SCM scm_oneminus (SCM x);
SCM_API SCM scm_product (SCM x, SCM y);
SCM_API SCM scm_divide (SCM x, SCM y);
SCM_API SCM scm_floor (SCM x);
SCM_API SCM scm_ceiling (SCM x);
SCM_API double scm_c_truncate (double x);
SCM_API double scm_c_round (double x);
SCM_API SCM scm_truncate_number (SCM x);
SCM_API SCM scm_round_number (SCM x);
SCM_API SCM scm_expt (SCM z1, SCM z2);
SCM_API SCM scm_sin (SCM z);
SCM_API SCM scm_cos (SCM z);
SCM_API SCM scm_tan (SCM z);
SCM_API SCM scm_sinh (SCM z);
SCM_API SCM scm_cosh (SCM z);
SCM_API SCM scm_tanh (SCM z);
SCM_API SCM scm_asin (SCM z);
SCM_API SCM scm_acos (SCM z);
SCM_API SCM scm_atan (SCM x, SCM y);
SCM_API SCM scm_sys_asinh (SCM z);
SCM_API SCM scm_sys_acosh (SCM z);
SCM_API SCM scm_sys_atanh (SCM z);
SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
SCM_API SCM scm_make_polar (SCM z1, SCM z2);
SCM_API SCM scm_real_part (SCM z);
SCM_API SCM scm_imag_part (SCM z);
SCM_API SCM scm_magnitude (SCM z);
SCM_API SCM scm_angle (SCM z);
SCM_API SCM scm_exact_to_inexact (SCM z);
SCM_API SCM scm_inexact_to_exact (SCM z);
SCM_API SCM scm_trunc (SCM x);
SCM_API SCM scm_log (SCM z);
SCM_API SCM scm_log10 (SCM z);
SCM_API SCM scm_exp (SCM z);
SCM_API SCM scm_sqrt (SCM z);
SCM_API void scm_exact_integer_sqrt (SCM k, SCM *s, SCM *r);
SCM_INTERNAL SCM scm_i_min (SCM x, SCM y, SCM rest);
SCM_INTERNAL SCM scm_i_max (SCM x, SCM y, SCM rest);
SCM_INTERNAL SCM scm_i_sum (SCM x, SCM y, SCM rest);
SCM_INTERNAL SCM scm_i_difference (SCM x, SCM y, SCM rest);
SCM_INTERNAL SCM scm_i_product (SCM x, SCM y, SCM rest);
SCM_INTERNAL SCM scm_i_divide (SCM x, SCM y, SCM rest);
SCM_INTERNAL SCM scm_i_exact_integer_sqrt (SCM k);
SCM_INTERNAL SCM scm_i_mkbig (void);
SCM_API SCM scm_i_normbig (SCM x);
SCM_INTERNAL int scm_i_bigcmp (SCM a, SCM b);
SCM_INTERNAL SCM scm_i_dbl2big (double d);
SCM_INTERNAL SCM scm_i_dbl2num (double d);
SCM_API double scm_i_big2dbl (SCM b);
SCM_API SCM scm_i_long2big (long n);
SCM_API SCM scm_i_ulong2big (unsigned long n);
SCM_API SCM scm_i_clonebig (SCM src_big, int same_sign_p);
SCM_API SCM scm_rationalize (SCM x, SCM err);
SCM_API SCM scm_numerator (SCM z);
SCM_API SCM scm_denominator (SCM z);
SCM_INTERNAL double scm_i_fraction2double (SCM z);
SCM_INTERNAL SCM scm_i_fraction_equalp (SCM x, SCM y);
SCM_INTERNAL int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate);
SCM_INTERNAL void scm_i_print_double (double val, SCM port);
SCM_INTERNAL void scm_i_print_complex (double real, double imag, SCM port);
SCM_API int scm_is_integer (SCM val);
SCM_API int scm_is_exact_integer (SCM val);
SCM_API int scm_is_signed_integer (SCM val,
scm_t_intmax min, scm_t_intmax max);
SCM_API int scm_is_unsigned_integer (SCM val,
scm_t_uintmax min, scm_t_uintmax max);
SCM_API SCM scm_from_signed_integer (scm_t_intmax val);
SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val);
SCM_API scm_t_intmax scm_to_signed_integer (SCM val,
scm_t_intmax min,
scm_t_intmax max);
SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val,
scm_t_uintmax min,
scm_t_uintmax max);
SCM_API scm_t_int8 scm_to_int8 (SCM x);
SCM_API SCM scm_from_int8 (scm_t_int8 x);
SCM_API scm_t_uint8 scm_to_uint8 (SCM x);
SCM_API SCM scm_from_uint8 (scm_t_uint8 x);
SCM_API scm_t_int16 scm_to_int16 (SCM x);
SCM_API SCM scm_from_int16 (scm_t_int16 x);
SCM_API scm_t_uint16 scm_to_uint16 (SCM x);
SCM_API SCM scm_from_uint16 (scm_t_uint16 x);
SCM_API scm_t_int32 scm_to_int32 (SCM x);
SCM_API SCM scm_from_int32 (scm_t_int32 x);
SCM_API scm_t_uint32 scm_to_uint32 (SCM x);
SCM_API SCM scm_from_uint32 (scm_t_uint32 x);
SCM_API scm_t_wchar scm_to_wchar (SCM x);
SCM_API SCM scm_from_wchar (scm_t_wchar x);
SCM_API scm_t_int64 scm_to_int64 (SCM x);
SCM_API SCM scm_from_int64 (scm_t_int64 x);
SCM_API scm_t_uint64 scm_to_uint64 (SCM x);
SCM_API SCM scm_from_uint64 (scm_t_uint64 x);
SCM_API void scm_to_mpz (SCM x, mpz_t rop);
SCM_API SCM scm_from_mpz (mpz_t rop);
#if SCM_SIZEOF_CHAR == 1
#define scm_to_schar scm_to_int8
#define scm_from_schar scm_from_int8
#define scm_to_uchar scm_to_uint8
#define scm_from_uchar scm_from_uint8
#if CHAR_MIN == 0
#define scm_to_char scm_to_uint8
#define scm_from_char scm_from_uint8
#else
#define scm_to_char scm_to_int8
#define scm_from_char scm_from_int8
#endif
#else
#error sizeof(char) is not 1.
#endif
#if SCM_SIZEOF_SHORT == 1
#define scm_to_short scm_to_int8
#define scm_from_short scm_from_int8
#define scm_to_ushort scm_to_uint8
#define scm_from_ushort scm_from_uint8
#else
#if SCM_SIZEOF_SHORT == 2
#define scm_to_short scm_to_int16
#define scm_from_short scm_from_int16
#define scm_to_ushort scm_to_uint16
#define scm_from_ushort scm_from_uint16
#else
#if SCM_SIZEOF_SHORT == 4
#define scm_to_short scm_to_int32
#define scm_from_short scm_from_int32
#define scm_to_ushort scm_to_uint32
#define scm_from_ushort scm_from_uint32
#else
#error sizeof(short) is not 1, 2, or 4.
#endif
#endif
#endif
#if SCM_SIZEOF_INT == 4
#define scm_to_int scm_to_int32
#define scm_from_int scm_from_int32
#define scm_to_uint scm_to_uint32
#define scm_from_uint scm_from_uint32
#else
#if SCM_SIZEOF_INT == 8
#define scm_to_int scm_to_int64
#define scm_from_int scm_from_int64
#define scm_to_uint scm_to_uint64
#define scm_from_uint scm_from_uint64
#else
#error sizeof(int) is not 4 or 8.
#endif
#endif
#if SCM_SIZEOF_LONG == 4
#define scm_to_long scm_to_int32
#define scm_from_long scm_from_int32
#define scm_to_ulong scm_to_uint32
#define scm_from_ulong scm_from_uint32
#else
#if SCM_SIZEOF_LONG == 8
#define scm_to_long scm_to_int64
#define scm_from_long scm_from_int64
#define scm_to_ulong scm_to_uint64
#define scm_from_ulong scm_from_uint64
#else
#error sizeof(long) is not 4 or 8.
#endif
#endif
#if SCM_SIZEOF_INTMAX == 4
#define scm_to_intmax scm_to_int32
#define scm_from_intmax scm_from_int32
#define scm_to_uintmax scm_to_uint32
#define scm_from_uintmax scm_from_uint32
#else
#if SCM_SIZEOF_INTMAX == 8
#define scm_to_intmax scm_to_int64
#define scm_from_intmax scm_from_int64
#define scm_to_uintmax scm_to_uint64
#define scm_from_uintmax scm_from_uint64
#else
#error sizeof(scm_t_intmax) is not 4 or 8.
#endif
#endif
#if SCM_SIZEOF_LONG_LONG == 0
#else
#if SCM_SIZEOF_LONG_LONG == 8
#define scm_to_long_long scm_to_int64
#define scm_from_long_long scm_from_int64
#define scm_to_ulong_long scm_to_uint64
#define scm_from_ulong_long scm_from_uint64
#else
#error sizeof(long long) is not 8.
#endif
#endif
#if SCM_SIZEOF_SIZE_T == 4
#define scm_to_ssize_t scm_to_int32
#define scm_from_ssize_t scm_from_int32
#define scm_to_size_t scm_to_uint32
#define scm_from_size_t scm_from_uint32
#else
#if SCM_SIZEOF_SIZE_T == 8
#define scm_to_ssize_t scm_to_int64
#define scm_from_ssize_t scm_from_int64
#define scm_to_size_t scm_to_uint64
#define scm_from_size_t scm_from_uint64
#else
#error sizeof(size_t) is not 4 or 8.
#endif
#endif
#if SCM_SIZEOF_SCM_T_PTRDIFF == 4
#define scm_to_ptrdiff_t scm_to_int32
#define scm_from_ptrdiff_t scm_from_int32
#else
#if SCM_SIZEOF_SCM_T_PTRDIFF == 8
#define scm_to_ptrdiff_t scm_to_int64
#define scm_from_ptrdiff_t scm_from_int64
#else
#error sizeof(scm_t_ptrdiff) is not 4 or 8.
#endif
#endif
SCM_API int scm_is_real (SCM val);
SCM_API int scm_is_rational (SCM val);
SCM_API double scm_to_double (SCM val);
SCM_API SCM scm_from_double (double val);
SCM_API int scm_is_complex (SCM val);
SCM_API SCM scm_c_make_rectangular (double re, double im);
SCM_API SCM scm_c_make_polar (double mag, double ang);
SCM_API double scm_c_real_part (SCM z);
SCM_API double scm_c_imag_part (SCM z);
SCM_API double scm_c_magnitude (SCM z);
SCM_API double scm_c_angle (SCM z);
SCM_API int scm_is_number (SCM val);
SCM_API int scm_install_gmp_memory_functions;
SCM_INTERNAL void scm_init_numbers (void);
#endif