[bpt/guile.git] / libguile / numbers.h

/* classes: h_files */

#ifndef SCM_NUMBERS_H
#define SCM_NUMBERS_H

/* Copyright (C) 1995,1996,1998,2000,2001 Free Software Foundation, Inc.
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2, or (at your option)
 * any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this software; see the file COPYING.  If not, write to
 * the Free Software Foundation, Inc., 59 Temple Place, Suite 330,
 * Boston, MA 02111-1307 USA
 *
 * As a special exception, the Free Software Foundation gives permission
 * for additional uses of the text contained in its release of GUILE.
 *
 * The exception is that, if you link the GUILE library with other files
 * to produce an executable, this does not by itself cause the
 * resulting executable to be covered by the GNU General Public License.
 * Your use of that executable is in no way restricted on account of
 * linking the GUILE library code into it.
 *
 * This exception does not however invalidate any other reasons why
 * the executable file might be covered by the GNU General Public License.
 *
 * This exception applies only to the code released by the
 * Free Software Foundation under the name GUILE.  If you copy
 * code from other Free Software Foundation releases into a copy of
 * GUILE, as the General Public License permits, the exception does
 * not apply to the code that you add in this way.  To avoid misleading
 * anyone as to the status of such modified files, you must delete
 * this exception notice from them.
 *
 * If you write modifications of your own for GUILE, it is your choice
 * whether to permit this exception to apply to your modifications.
 * If you do not wish that, delete this exception notice.  */

\f

#include "libguile/__scm.h"
#include "libguile/print.h"

\f

/* Immediate Numbers, also known as fixnums
 *
 * Inums are exact integer data that fits within an SCM word.  */

/* SCM_T_SIGNED_MAX is                 (- (expt 2 n) 1),
 * SCM_MOST_POSITIVE_FIXNUM should be  (- (expt 2 (- n 2)) 1)
 * which is the same as                (/ (- (expt 2 n) 4) 4)
 */

#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)

/* SCM_SRS is signed right shift */
#if (-1 == (((-1) << 2) + 2) >> 2)
# define SCM_SRS(x, y) ((x) >> (y))
#else
# define SCM_SRS(x, y) ((x) < 0 ? ~((~(x)) >> (y)) : ((x) >> (y)))
#endif /* (-1 == (((-1) << 2) + 2) >> 2) */


#define SCM_INUMP(x)	(2 & SCM_UNPACK (x))
#define SCM_NINUMP(x) 	(!SCM_INUMP (x))
#define SCM_MAKINUM(x)  (SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + 2))
#define SCM_INUM(x)     (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))


/* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
#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))


/* A name for 0. */
#define SCM_INUM0 (SCM_MAKINUM (0))


/* SCM_MAXEXP is the maximum double precision exponent
 * SCM_FLTMAX is less than or scm_equal the largest single precision float
 */

#ifdef STDC_HEADERS
#ifndef GO32
#include <float.h>
#endif /* ndef GO32 */
#endif /* def STDC_HEADERS */
#ifdef DBL_MAX_10_EXP
#define SCM_MAXEXP DBL_MAX_10_EXP
#else
#define SCM_MAXEXP 308		/* IEEE doubles */
#endif /* def DBL_MAX_10_EXP */
#ifdef FLT_MAX
#define SCM_FLTMAX FLT_MAX
#else
#define SCM_FLTMAX 1e+23
#endif /* def FLT_MAX */


/* SCM_INTBUFLEN is the maximum number of characters neccessary for the
 * printed or scm_string representation of an exact immediate.
 */
#define SCM_INTBUFLEN (5 + SCM_LONG_BIT)

\f

/* Numbers 
 */

#define SCM_SLOPPY_INEXACTP(x) (SCM_TYP16S (x) == scm_tc16_real)
#define SCM_SLOPPY_REALP(x) (SCM_TYP16 (x) == scm_tc16_real)
#define SCM_SLOPPY_COMPLEXP(x) (SCM_TYP16 (x) == scm_tc16_complex)
#define SCM_INEXACTP(x) (!SCM_IMP (x) && SCM_TYP16S (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_MEM(x) ((scm_t_complex *) SCM_CELL_WORD_1 (x))
#define SCM_COMPLEX_REAL(x) (SCM_COMPLEX_MEM (x)->real)
#define SCM_COMPLEX_IMAG(x) (SCM_COMPLEX_MEM (x)->imag)

/* Define SCM_BIGDIG to an integer type whose size is smaller than long if
 * you want bignums.  SCM_BIGRAD is one greater than the biggest SCM_BIGDIG. 
 *
 * Define SCM_DIGSTOOBIG if the digits equivalent to a long won't fit in a long. 
 */
#ifdef BIGNUMS
# ifdef _UNICOS
#  define SCM_DIGSTOOBIG
#  if (1L << 31) <= SCM_USHRT_MAX
#   define SCM_BIGDIG unsigned  short
#  else
#   define SCM_BIGDIG unsigned int
#  endif /*  (1L << 31) <= USHRT_MAX */
#  define SCM_BITSPERDIG 32
# else
#  define SCM_BIGDIG unsigned short
#  define SCM_BITSPERDIG (sizeof(SCM_BIGDIG)*SCM_CHAR_BIT)
# endif /* def _UNICOS */

# define SCM_BIGRAD (1L << SCM_BITSPERDIG)
# define SCM_DIGSPERLONG ((size_t)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
# define SCM_I_BIGUP(type, x) ((type)(x) << SCM_BITSPERDIG)
# define SCM_BIGUP(x) SCM_I_BIGUP (unsigned long, x)
# define SCM_LONGLONGBIGUP(x) SCM_I_BIGUP (unsigned long long, x)
# define SCM_BIGDN(x) ((x) >> SCM_BITSPERDIG)
# define SCM_BIGLO(x) ((x) & (SCM_BIGRAD-1))
#endif /* def BIGNUMS */

#ifndef SCM_BIGDIG
/* Definition is not really used but helps various function
 * prototypes to compile with conditionalization.
 */
# define SCM_BIGDIG unsigned short
#endif /* ndef SCM_BIGDIG */

#define SCM_NUMBERP(x) (SCM_INUMP(x) || SCM_NUMP(x))
#define SCM_NUMP(x) (!SCM_IMP(x) && (0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_smob)
#define SCM_BIGP(x) (!SCM_IMP (x) && (SCM_TYP16 (x) == scm_tc16_big))
#define SCM_BIGSIGNFLAG 0x10000L
#define SCM_BIGSIZEFIELD 17
#define SCM_BIGSIGN(x) (SCM_CELL_WORD_0 (x) & SCM_BIGSIGNFLAG)
#define SCM_BDIGITS(x) ((SCM_BIGDIG *) (SCM_CELL_WORD_1 (x)))
#define SCM_SET_BIGNUM_BASE(n, b) (SCM_SET_CELL_WORD_1 ((n), (b)))
#define SCM_NUMDIGS(x) ((size_t) (SCM_CELL_WORD_0 (x) >> SCM_BIGSIZEFIELD))
#define SCM_MAKE_BIGNUM_TAG(v, sign)              \
	      (scm_tc16_big                       \
	       | ((sign) ? SCM_BIGSIGNFLAG : 0)   \
	       | (((v) + 0L) << SCM_BIGSIZEFIELD))
#define SCM_SETNUMDIGS(x, v, sign) \
  SCM_SET_CELL_WORD_0 (x, SCM_MAKE_BIGNUM_TAG (v, sign))

\f

typedef struct scm_t_double
{
  SCM type;
  SCM pad;
  double real;
} scm_t_double;

typedef struct scm_t_complex
{
  double real;
  double imag;
} scm_t_complex;

\f

SCM_API SCM scm_exact_p (SCM x);
SCM_API SCM scm_odd_p (SCM n);
SCM_API SCM scm_even_p (SCM n);
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 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_integer_expt (SCM z1, SCM z2);
SCM_API SCM scm_ash (SCM n, SCM cnt);
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_API SCM scm_i_mkbig (size_t nlen, int sign);
SCM_API SCM scm_i_big2inum (SCM b, size_t l);
SCM_API SCM scm_i_adjbig (SCM b, size_t nlen);
SCM_API SCM scm_i_normbig (SCM b);
SCM_API SCM scm_i_copybig (SCM b, int sign);
SCM_API SCM scm_i_short2big (short n);
SCM_API SCM scm_i_ushort2big (unsigned short n);
SCM_API SCM scm_i_int2big (int n);
SCM_API SCM scm_i_uint2big (unsigned int n);
SCM_API SCM scm_i_long2big (long n);
SCM_API SCM scm_i_ulong2big (unsigned long n);
SCM_API SCM scm_i_size2big (size_t n);
SCM_API SCM scm_i_ptrdiff2big (ptrdiff_t n);

#ifdef HAVE_LONG_LONGS
SCM_API SCM scm_i_long_long2big (long long n);
SCM_API SCM scm_i_ulong_long2big (unsigned long long n);
#endif

SCM_API int scm_bigcomp (SCM x, SCM y);
SCM_API long scm_pseudolong (long x);
SCM_API void scm_longdigs (long x, SCM_BIGDIG digs[]);
SCM_API SCM scm_addbig (SCM_BIGDIG *x, size_t nx, int xsgn, SCM bigy, int sgny);
SCM_API SCM scm_mulbig (SCM_BIGDIG *x, size_t nx, SCM_BIGDIG *y, size_t ny, int sgn);
SCM_API unsigned int scm_divbigdig (SCM_BIGDIG *ds, size_t h, SCM_BIGDIG div);
SCM_API size_t scm_iint2str (long 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_i_mem2number (const char *mem, size_t len, unsigned int radix);
SCM_API SCM scm_string_to_number (SCM str, SCM radix);
SCM_API SCM scm_make_real (double x);
SCM_API SCM scm_make_complex (double x, double y);
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_real_p (SCM x);
SCM_API SCM scm_integer_p (SCM x);
SCM_API SCM scm_inexact_p (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_difference (SCM x, SCM y);
SCM_API SCM scm_product (SCM x, SCM y);
SCM_API double scm_num2dbl (SCM a, const char * why);
SCM_API SCM scm_divide (SCM x, SCM y);
SCM_API double scm_asinh (double x);
SCM_API double scm_acosh (double x);
SCM_API double scm_atanh (double x);
SCM_API double scm_truncate (double x);
SCM_API double scm_round (double x);
SCM_API SCM scm_sys_expt (SCM z1, SCM z2);
SCM_API SCM scm_sys_atan2 (SCM z1, SCM z2);
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_i_dbl2big (double d);
SCM_API double scm_i_big2dbl (SCM b);

SCM_API SCM scm_short2num (short n);
SCM_API SCM scm_ushort2num (unsigned short n);
SCM_API SCM scm_int2num (int n);
SCM_API SCM scm_uint2num (unsigned int n);
SCM_API SCM scm_long2num (long n);
SCM_API SCM scm_ulong2num (unsigned long n);
SCM_API SCM scm_size2num (size_t n);
SCM_API SCM scm_ptrdiff2num (ptrdiff_t n);
SCM_API short scm_num2short (SCM num, unsigned long int pos,
			     const char *s_caller);
SCM_API unsigned short scm_num2ushort (SCM num, unsigned long int pos,
				       const char *s_caller);
SCM_API int scm_num2int (SCM num, unsigned long int pos,
			 const char *s_caller);
SCM_API unsigned int scm_num2uint (SCM num, unsigned long int pos,
				   const char *s_caller);
SCM_API long scm_num2long (SCM num, unsigned long int pos,
			   const char *s_caller);
SCM_API unsigned long scm_num2ulong (SCM num, unsigned long int pos,
				     const char *s_caller);
SCM_API ptrdiff_t scm_num2ptrdiff (SCM num, unsigned long int pos,
				   const char *s_caller);
SCM_API size_t scm_num2size (SCM num, unsigned long int pos,
			     const char *s_caller);
#ifdef HAVE_LONG_LONGS
SCM_API SCM scm_long_long2num (long long sl);
SCM_API SCM scm_ulong_long2num (unsigned long long sl);
SCM_API long long scm_num2long_long (SCM num, unsigned long int pos,
				     const char *s_caller);
SCM_API unsigned long long scm_num2ulong_long (SCM num, unsigned long int pos,
					       const char *s_caller);
#endif

SCM_API SCM scm_float2num (float n);
SCM_API SCM scm_double2num (double n);
SCM_API float scm_num2float (SCM num, unsigned long int pos,
			     const char *s_caller);
SCM_API double scm_num2double (SCM num, unsigned long int pos,
			       const char *s_caller);

#ifdef GUILE_DEBUG
SCM_API SCM scm_sys_check_number_conversions (void);
#endif

SCM_API void scm_init_numbers (void);

#endif  /* SCM_NUMBERS_H */

/*
  Local Variables:
  c-file-style: "gnu"
  End:
*/
Commit	Line	Data
0f2d19dd JB	1	/* classes: h_files */
0f2d19dd JB	2
3c9a524f DH	3	#ifndef SCM_NUMBERS_H
3c9a524f DH	4	#define SCM_NUMBERS_H
dee01b01	5
e4b265d8	6	/* Copyright (C) 1995,1996,1998,2000,2001 Free Software Foundation, Inc.
dee01b01	7	*
0f2d19dd JB	8	* This program is free software; you can redistribute it and/or modify
	9	* it under the terms of the GNU General Public License as published by
	10	* the Free Software Foundation; either version 2, or (at your option)
	11	* any later version.
dee01b01	12	*
0f2d19dd JB	13	* This program is distributed in the hope that it will be useful,
	14	* but WITHOUT ANY WARRANTY; without even the implied warranty of
	15	* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
	16	* GNU General Public License for more details.
dee01b01	17	*
0f2d19dd JB	18	* You should have received a copy of the GNU General Public License
0f2d19dd JB	19	* along with this software; see the file COPYING. If not, write to
82892bed JB	20	* the Free Software Foundation, Inc., 59 Temple Place, Suite 330,
82892bed JB	21	* Boston, MA 02111-1307 USA
0f2d19dd JB	22	*
	23	* As a special exception, the Free Software Foundation gives permission
	24	* for additional uses of the text contained in its release of GUILE.
	25	*
	26	* The exception is that, if you link the GUILE library with other files
	27	* to produce an executable, this does not by itself cause the
	28	* resulting executable to be covered by the GNU General Public License.
	29	* Your use of that executable is in no way restricted on account of
	30	* linking the GUILE library code into it.
	31	*
	32	* This exception does not however invalidate any other reasons why
	33	* the executable file might be covered by the GNU General Public License.
	34	*
	35	* This exception applies only to the code released by the
	36	* Free Software Foundation under the name GUILE. If you copy
	37	* code from other Free Software Foundation releases into a copy of
	38	* GUILE, as the General Public License permits, the exception does
	39	* not apply to the code that you add in this way. To avoid misleading
	40	* anyone as to the status of such modified files, you must delete
	41	* this exception notice from them.
	42	*
	43	* If you write modifications of your own for GUILE, it is your choice
	44	* whether to permit this exception to apply to your modifications.
82892bed	45	* If you do not wish that, delete this exception notice. */
d3a6bc94	46
0f2d19dd JB	47	\f
0f2d19dd JB	48
b4309c3c	49	#include "libguile/__scm.h"
34f74fe1 MD	50	#include "libguile/print.h"
34f74fe1 MD	51
0f2d19dd JB	52	\f
0f2d19dd JB	53
14282d0f	54	/* Immediate Numbers, also known as fixnums
0f2d19dd	55	*
14282d0f	56	* Inums are exact integer data that fits within an SCM word. */
0f2d19dd	57
c0060c95 MV	58	/* SCM_T_SIGNED_MAX is (- (expt 2 n) 1),
	59	* SCM_MOST_POSITIVE_FIXNUM should be (- (expt 2 (- n 2)) 1)
	60	* which is the same as (/ (- (expt 2 n) 4) 4)
	61	*/
	62
004c0902	63	#define SCM_I_FIXNUM_BIT (SCM_LONG_BIT - 2)
c0060c95	64	#define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
004c0902	65	#define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM-1)
5c75b29f	66
56100716 DH	67	/* SCM_SRS is signed right shift */
56100716 DH	68	#if (-1 == (((-1) << 2) + 2) >> 2)
14282d0f	69	# define SCM_SRS(x, y) ((x) >> (y))
0f2d19dd	70	#else
14282d0f	71	# define SCM_SRS(x, y) ((x) < 0 ? ~((~(x)) >> (y)) : ((x) >> (y)))
56100716	72	#endif /* (-1 == (((-1) << 2) + 2) >> 2) */
0f2d19dd JB	73
0f2d19dd JB	74
56100716 DH	75	#define SCM_INUMP(x) (2 & SCM_UNPACK (x))
56100716 DH	76	#define SCM_NINUMP(x) (!SCM_INUMP (x))
14282d0f DH	77	#define SCM_MAKINUM(x) (SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + 2))
14282d0f DH	78	#define SCM_INUM(x) (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))
0f2d19dd JB	79
0f2d19dd JB	80
894a712b DH	81	/* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
	82	#define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
	83	#define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
14282d0f	84	#define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))
894a712b DH	85
894a712b DH	86
56100716	87	/* A name for 0. */
b82c6ce0	88	#define SCM_INUM0 (SCM_MAKINUM (0))
0f2d19dd JB	89
0f2d19dd JB	90
c0060c95	91	/* SCM_MAXEXP is the maximum double precision exponent
88eb6852 MD	92	* SCM_FLTMAX is less than or scm_equal the largest single precision float
	93	*/
	94
	95	#ifdef STDC_HEADERS
	96	#ifndef GO32
	97	#include <float.h>
	98	#endif /* ndef GO32 */
	99	#endif /* def STDC_HEADERS */
	100	#ifdef DBL_MAX_10_EXP
	101	#define SCM_MAXEXP DBL_MAX_10_EXP
	102	#else
	103	#define SCM_MAXEXP 308 /* IEEE doubles */
	104	#endif /* def DBL_MAX_10_EXP */
	105	#ifdef FLT_MAX
	106	#define SCM_FLTMAX FLT_MAX
	107	#else
	108	#define SCM_FLTMAX 1e+23
	109	#endif /* def FLT_MAX */
	110
0f2d19dd	111
0f2d19dd JB	112	/* SCM_INTBUFLEN is the maximum number of characters neccessary for the
	113	* printed or scm_string representation of an exact immediate.
	114	*/
c014a02e	115	#define SCM_INTBUFLEN (5 + SCM_LONG_BIT)
0f2d19dd JB	116
	117	\f
	118
	119	/* Numbers
	120	*/
	121
88eb6852 MD	122	#define SCM_SLOPPY_INEXACTP(x) (SCM_TYP16S (x) == scm_tc16_real)
	123	#define SCM_SLOPPY_REALP(x) (SCM_TYP16 (x) == scm_tc16_real)
	124	#define SCM_SLOPPY_COMPLEXP(x) (SCM_TYP16 (x) == scm_tc16_complex)
3c9a524f DH	125	#define SCM_INEXACTP(x) (!SCM_IMP (x) && SCM_TYP16S (x) == scm_tc16_real)
	126	#define SCM_REALP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_real)
	127	#define SCM_COMPLEXP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
88eb6852	128
92c2555f MV	129	#define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
92c2555f MV	130	#define SCM_COMPLEX_MEM(x) ((scm_t_complex *) SCM_CELL_WORD_1 (x))
405aaef9 DH	131	#define SCM_COMPLEX_REAL(x) (SCM_COMPLEX_MEM (x)->real)
405aaef9 DH	132	#define SCM_COMPLEX_IMAG(x) (SCM_COMPLEX_MEM (x)->imag)
0f2d19dd JB	133
	134	/* Define SCM_BIGDIG to an integer type whose size is smaller than long if
	135	* you want bignums. SCM_BIGRAD is one greater than the biggest SCM_BIGDIG.
	136	*
	137	* Define SCM_DIGSTOOBIG if the digits equivalent to a long won't fit in a long.
	138	*/
	139	#ifdef BIGNUMS
	140	# ifdef _UNICOS
	141	# define SCM_DIGSTOOBIG
	142	# if (1L << 31) <= SCM_USHRT_MAX
	143	# define SCM_BIGDIG unsigned short
	144	# else
	145	# define SCM_BIGDIG unsigned int
	146	# endif /* (1L << 31) <= USHRT_MAX */
	147	# define SCM_BITSPERDIG 32
	148	# else
	149	# define SCM_BIGDIG unsigned short
	150	# define SCM_BITSPERDIG (sizeof(SCM_BIGDIG)*SCM_CHAR_BIT)
	151	# endif /* def _UNICOS */
	152
	153	# define SCM_BIGRAD (1L << SCM_BITSPERDIG)
1be6b49c ML	154	# define SCM_DIGSPERLONG ((size_t)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
	155	# define SCM_I_BIGUP(type, x) ((type)(x) << SCM_BITSPERDIG)
	156	# define SCM_BIGUP(x) SCM_I_BIGUP (unsigned long, x)
	157	# define SCM_LONGLONGBIGUP(x) SCM_I_BIGUP (unsigned long long, x)
0f2d19dd JB	158	# define SCM_BIGDN(x) ((x) >> SCM_BITSPERDIG)
	159	# define SCM_BIGLO(x) ((x) & (SCM_BIGRAD-1))
	160	#endif /* def BIGNUMS */
	161
	162	#ifndef SCM_BIGDIG
	163	/* Definition is not really used but helps various function
	164	* prototypes to compile with conditionalization.
	165	*/
	166	# define SCM_BIGDIG unsigned short
0f2d19dd JB	167	#endif /* ndef SCM_BIGDIG */
0f2d19dd JB	168
7a710745	169	#define SCM_NUMBERP(x) (SCM_INUMP(x) \|\| SCM_NUMP(x))
47457e8a	170	#define SCM_NUMP(x) (!SCM_IMP(x) && (0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_smob)
7272f6d8	171	#define SCM_BIGP(x) (!SCM_IMP (x) && (SCM_TYP16 (x) == scm_tc16_big))
88eb6852 MD	172	#define SCM_BIGSIGNFLAG 0x10000L
88eb6852 MD	173	#define SCM_BIGSIZEFIELD 17
47457e8a DH	174	#define SCM_BIGSIGN(x) (SCM_CELL_WORD_0 (x) & SCM_BIGSIGNFLAG)
47457e8a DH	175	#define SCM_BDIGITS(x) ((SCM_BIGDIG *) (SCM_CELL_WORD_1 (x)))
6a0476fd	176	#define SCM_SET_BIGNUM_BASE(n, b) (SCM_SET_CELL_WORD_1 ((n), (b)))
c014a02e	177	#define SCM_NUMDIGS(x) ((size_t) (SCM_CELL_WORD_0 (x) >> SCM_BIGSIZEFIELD))
760eb0ce MV	178	#define SCM_MAKE_BIGNUM_TAG(v, sign) \
	179	(scm_tc16_big \
	180	\| ((sign) ? SCM_BIGSIGNFLAG : 0) \
	181	\| (((v) + 0L) << SCM_BIGSIZEFIELD))
88eb6852	182	#define SCM_SETNUMDIGS(x, v, sign) \
760eb0ce	183	SCM_SET_CELL_WORD_0 (x, SCM_MAKE_BIGNUM_TAG (v, sign))
88eb6852	184
0f2d19dd JB	185	\f
0f2d19dd JB	186
92c2555f	187	typedef struct scm_t_double
0f2d19dd JB	188	{
0f2d19dd JB	189	SCM type;
88eb6852 MD	190	SCM pad;
88eb6852 MD	191	double real;
92c2555f	192	} scm_t_double;
0f2d19dd	193
92c2555f	194	typedef struct scm_t_complex
0f2d19dd	195	{
88eb6852 MD	196	double real;
88eb6852 MD	197	double imag;
92c2555f	198	} scm_t_complex;
0f2d19dd	199
0f2d19dd	200	\f
0f2d19dd	201
33b001fd MV	202	SCM_API SCM scm_exact_p (SCM x);
	203	SCM_API SCM scm_odd_p (SCM n);
	204	SCM_API SCM scm_even_p (SCM n);
	205	SCM_API SCM scm_abs (SCM x);
	206	SCM_API SCM scm_quotient (SCM x, SCM y);
	207	SCM_API SCM scm_remainder (SCM x, SCM y);
	208	SCM_API SCM scm_modulo (SCM x, SCM y);
	209	SCM_API SCM scm_gcd (SCM x, SCM y);
	210	SCM_API SCM scm_lcm (SCM n1, SCM n2);
	211	SCM_API SCM scm_logand (SCM n1, SCM n2);
	212	SCM_API SCM scm_logior (SCM n1, SCM n2);
	213	SCM_API SCM scm_logxor (SCM n1, SCM n2);
	214	SCM_API SCM scm_logtest (SCM n1, SCM n2);
	215	SCM_API SCM scm_logbit_p (SCM n1, SCM n2);
	216	SCM_API SCM scm_lognot (SCM n);
	217	SCM_API SCM scm_integer_expt (SCM z1, SCM z2);
	218	SCM_API SCM scm_ash (SCM n, SCM cnt);
	219	SCM_API SCM scm_bit_extract (SCM n, SCM start, SCM end);
	220	SCM_API SCM scm_logcount (SCM n);
	221	SCM_API SCM scm_integer_length (SCM n);
	222	SCM_API SCM scm_i_mkbig (size_t nlen, int sign);
	223	SCM_API SCM scm_i_big2inum (SCM b, size_t l);
	224	SCM_API SCM scm_i_adjbig (SCM b, size_t nlen);
	225	SCM_API SCM scm_i_normbig (SCM b);
	226	SCM_API SCM scm_i_copybig (SCM b, int sign);
	227	SCM_API SCM scm_i_short2big (short n);
	228	SCM_API SCM scm_i_ushort2big (unsigned short n);
	229	SCM_API SCM scm_i_int2big (int n);
	230	SCM_API SCM scm_i_uint2big (unsigned int n);
	231	SCM_API SCM scm_i_long2big (long n);
	232	SCM_API SCM scm_i_ulong2big (unsigned long n);
	233	SCM_API SCM scm_i_size2big (size_t n);
	234	SCM_API SCM scm_i_ptrdiff2big (ptrdiff_t n);
1be6b49c	235
9ea8cdcb	236	#ifdef HAVE_LONG_LONGS
33b001fd MV	237	SCM_API SCM scm_i_long_long2big (long long n);
33b001fd MV	238	SCM_API SCM scm_i_ulong_long2big (unsigned long long n);
9ea8cdcb	239	#endif
1be6b49c	240
33b001fd MV	241	SCM_API int scm_bigcomp (SCM x, SCM y);
	242	SCM_API long scm_pseudolong (long x);
	243	SCM_API void scm_longdigs (long x, SCM_BIGDIG digs[]);
	244	SCM_API SCM scm_addbig (SCM_BIGDIG *x, size_t nx, int xsgn, SCM bigy, int sgny);
	245	SCM_API SCM scm_mulbig (SCM_BIGDIG x, size_t nx, SCM_BIGDIG y, size_t ny, int sgn);
	246	SCM_API unsigned int scm_divbigdig (SCM_BIGDIG *ds, size_t h, SCM_BIGDIG div);
	247	SCM_API size_t scm_iint2str (long num, int rad, char *p);
	248	SCM_API SCM scm_number_to_string (SCM x, SCM radix);
	249	SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
	250	SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
	251	SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
	252	SCM_API SCM scm_i_mem2number (const char *mem, size_t len, unsigned int radix);
	253	SCM_API SCM scm_string_to_number (SCM str, SCM radix);
	254	SCM_API SCM scm_make_real (double x);
	255	SCM_API SCM scm_make_complex (double x, double y);
	256	SCM_API SCM scm_bigequal (SCM x, SCM y);
	257	SCM_API SCM scm_real_equalp (SCM x, SCM y);
	258	SCM_API SCM scm_complex_equalp (SCM x, SCM y);
	259	SCM_API SCM scm_number_p (SCM x);
	260	SCM_API SCM scm_real_p (SCM x);
	261	SCM_API SCM scm_integer_p (SCM x);
	262	SCM_API SCM scm_inexact_p (SCM x);
	263	SCM_API SCM scm_num_eq_p (SCM x, SCM y);
	264	SCM_API SCM scm_less_p (SCM x, SCM y);
	265	SCM_API SCM scm_gr_p (SCM x, SCM y);
	266	SCM_API SCM scm_leq_p (SCM x, SCM y);
	267	SCM_API SCM scm_geq_p (SCM x, SCM y);
	268	SCM_API SCM scm_zero_p (SCM z);
	269	SCM_API SCM scm_positive_p (SCM x);
	270	SCM_API SCM scm_negative_p (SCM x);
	271	SCM_API SCM scm_max (SCM x, SCM y);
	272	SCM_API SCM scm_min (SCM x, SCM y);
	273	SCM_API SCM scm_sum (SCM x, SCM y);
	274	SCM_API SCM scm_difference (SCM x, SCM y);
	275	SCM_API SCM scm_product (SCM x, SCM y);
	276	SCM_API double scm_num2dbl (SCM a, const char * why);
	277	SCM_API SCM scm_divide (SCM x, SCM y);
	278	SCM_API double scm_asinh (double x);
	279	SCM_API double scm_acosh (double x);
	280	SCM_API double scm_atanh (double x);
	281	SCM_API double scm_truncate (double x);
	282	SCM_API double scm_round (double x);
	283	SCM_API SCM scm_sys_expt (SCM z1, SCM z2);
	284	SCM_API SCM scm_sys_atan2 (SCM z1, SCM z2);
	285	SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
	286	SCM_API SCM scm_make_polar (SCM z1, SCM z2);
	287	SCM_API SCM scm_real_part (SCM z);
	288	SCM_API SCM scm_imag_part (SCM z);
	289	SCM_API SCM scm_magnitude (SCM z);
	290	SCM_API SCM scm_angle (SCM z);
	291	SCM_API SCM scm_exact_to_inexact (SCM z);
	292	SCM_API SCM scm_inexact_to_exact (SCM z);
	293	SCM_API SCM scm_trunc (SCM x);
	294	SCM_API SCM scm_i_dbl2big (double d);
	295	SCM_API double scm_i_big2dbl (SCM b);
	296
	297	SCM_API SCM scm_short2num (short n);
	298	SCM_API SCM scm_ushort2num (unsigned short n);
	299	SCM_API SCM scm_int2num (int n);
	300	SCM_API SCM scm_uint2num (unsigned int n);
	301	SCM_API SCM scm_long2num (long n);
	302	SCM_API SCM scm_ulong2num (unsigned long n);
	303	SCM_API SCM scm_size2num (size_t n);
	304	SCM_API SCM scm_ptrdiff2num (ptrdiff_t n);
305	SCM_API short scm_num2short (SCM num, unsigned long int pos,
306	const char *s_caller);
307	SCM_API unsigned short scm_num2ushort (SCM num, unsigned long int pos,
308	const char *s_caller);
309	SCM_API int scm_num2int (SCM num, unsigned long int pos,
310	const char *s_caller);
311	SCM_API unsigned int scm_num2uint (SCM num, unsigned long int pos,
312	const char *s_caller);
313	SCM_API long scm_num2long (SCM num, unsigned long int pos,
314	const char *s_caller);
315	SCM_API unsigned long scm_num2ulong (SCM num, unsigned long int pos,
316	const char *s_caller);
317	SCM_API ptrdiff_t scm_num2ptrdiff (SCM num, unsigned long int pos,
318	const char *s_caller);
319	SCM_API size_t scm_num2size (SCM num, unsigned long int pos,
320	const char *s_caller);
9ea8cdcb	321	#ifdef HAVE_LONG_LONGS
33b001fd MV	322	SCM_API SCM scm_long_long2num (long long sl);
	323	SCM_API SCM scm_ulong_long2num (unsigned long long sl);
	324	SCM_API long long scm_num2long_long (SCM num, unsigned long int pos,
	325	const char *s_caller);
	326	SCM_API unsigned long long scm_num2ulong_long (SCM num, unsigned long int pos,
	327	const char *s_caller);
9ea8cdcb	328	#endif
1be6b49c	329
33b001fd MV	330	SCM_API SCM scm_float2num (float n);
	331	SCM_API SCM scm_double2num (double n);
	332	SCM_API float scm_num2float (SCM num, unsigned long int pos,
	333	const char *s_caller);
	334	SCM_API double scm_num2double (SCM num, unsigned long int pos,
	335	const char *s_caller);
581ded70	336
b4e15479 SJ	337	#ifdef GUILE_DEBUG
	338	SCM_API SCM scm_sys_check_number_conversions (void);
	339	#endif
	340
33b001fd	341	SCM_API void scm_init_numbers (void);
0f2d19dd	342
3c9a524f	343	#endif /* SCM_NUMBERS_H */
89e00824 ML	344
	345	/*
	346	Local Variables:
	347	c-file-style: "gnu"
	348	End:
	349	*/