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guile/libguile/numbers.h
Greg J. Badros c209c88e54 *.[ch]: make a distinction between SCM as a generic
name for a Scheme object (now a void*), and SCM as 32 bit word for
storing tags and immediates (now a long int).  Introduced
SCM_ASWORD and SCM_ASSCM for conversion. Fixed various dubious
code in the process: arbiter.c (use macros), unif.c (scm_array_p),
2000-03-09 18:58:58 +00:00

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/* classes: h_files */
#ifndef NUMBERSH
#define NUMBERSH
/* Copyright (C) 1995, 1996, 1998 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. */
/* Software engineering face-lift by Greg J. Badros, 11-Dec-1999,
gjb@cs.washington.edu, http://www.cs.washington.edu/homes/gjb */
#include "libguile/__scm.h"
#include "libguile/print.h"
/* Immediate Numbers
*
* Inums are exact integer data that fits within an SCM word.
*
* SCM_INUMP applies only to values known to be Scheme objects.
* In particular, SCM_INUMP (SCM_CAR (x)) is valid only if x is known
* to be a SCM_CONSP. If x is only known to be a SCM_NIMP,
* SCM_INUMP (SCM_CAR (x)) can give wrong answers.
*/
#define SCM_INUMP(x) (2 & (int)(x))
#define SCM_NINUMP(x) (!SCM_INUMP(x))
#ifdef __TURBOC__
/* shifts of more than one are done by a library call, single shifts are
* performed in registers
*/
# define SCM_MAKINUM(x) ((SCM) (((SCM_ASWORD(x)<<1)<<1)+2L))
#else
# define SCM_MAKINUM(x) ((SCM)((SCM_ASWORD(x)<<2)+2L))
#endif /* def __TURBOC__ */
/* SCM_SRS is signed right shift */
/* SCM_INUM makes a C int from an SCM immediate number. */
/* Turbo C++ v1.0 has a bug with right shifts of signed longs!
* It is believed to be fixed in Turbo C++ v1.01
*/
#if (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295)
# define SCM_SRS(x, y) (SCM_ASWORD (x)>>y)
# ifdef __TURBOC__
# define SCM_INUM(x) ((SCM_ASWORD(x) >>1) >>1)
# else
# define SCM_INUM(x) SCM_SRS(x, 2)
# endif /* def __TURBOC__ */
#else
# define SCM_SRS(x, y) ((SCM_ASWORD(x) < 0) ? ~( (~SCM_ASWORD(x)) >>y) : (SCM_ASWORD (x)>>y))
# define SCM_INUM(x) SCM_SRS(x, 2)
#endif /* (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295) */
/* A name for 0.
*/
#define SCM_INUM0 ((SCM) 2)
/* SCM_FIXABLE is non-0 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_UNEGFIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM)
#define SCM_FIXABLE(n) (SCM_POSFIXABLE(n) && SCM_NEGFIXABLE(n))
/* SCM_INTBUFLEN is the maximum number of characters neccessary for the
* printed or scm_string representation of an exact immediate.
*/
#ifndef SCM_CHAR_BIT
# define SCM_CHAR_BIT 8
#endif /* ndef SCM_CHAR_BIT */
#ifndef SCM_LONG_BIT
# define SCM_LONG_BIT (SCM_CHAR_BIT*sizeof(long)/sizeof(char))
#endif /* ndef SCM_LONG_BIT */
#define SCM_INTBUFLEN (5+SCM_LONG_BIT)
/* SCM_FLOBUFLEN is the maximum number of characters neccessary for the
* printed or scm_string representation of an inexact number.
*/
#define SCM_FLOBUFLEN (10+2*(sizeof(double)/sizeof(char)*SCM_CHAR_BIT*3+9)/10)
/* Numbers
*/
#define SCM_INEXP(x) (SCM_NIMP(x) && (SCM_TYP16(x)==scm_tc16_flo))
#define SCM_CPLXP(x) (SCM_NIMP(x) && (SCM_CARW (x)==scm_tc_dblc))
#define SCM_REAL(x) (*(((scm_dbl *) (SCM2PTR(x)))->real))
#define SCM_IMAG(x) (*((double *)(SCM_CHARS(x)+sizeof(double))))
/* ((&SCM_REAL(x))[1]) */
#ifdef SCM_SINGLES
#define SCM_REALP(x) (SCM_NIMP(x) && ((~SCM_REAL_PART & SCM_CARW (x))==scm_tc_flo))
#define SCM_SINGP(x) (SCM_NIMP(x) && (SCM_CARW (x)==scm_tc_flo))
#define SCM_FLO(x) (((scm_flo *)(SCM2PTR(x)))->num)
#define SCM_REALPART(x) (SCM_SINGP(x)?0.0+SCM_FLO(x):SCM_REAL(x))
#else /* SCM_SINGLES */
#define SCM_REALP(x) (SCM_NIMP(x) && (SCM_CAR(x)==scm_tc_dblr))
#define SCM_REALPART SCM_REAL
#endif /* SCM_SINGLES */
/* 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 ((scm_sizet)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
# define SCM_BIGUP(x) ((unsigned long)(x) << SCM_BITSPERDIG)
# define SCM_LONGLONGBIGUP(x) ((ulong_long)(x) << SCM_BITSPERDIG)
# 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
# define SCM_NO_BIGDIG
# ifndef SCM_FLOATS
# define SCM_INUMS_ONLY
# endif /* ndef SCM_FLOATS */
#endif /* ndef SCM_BIGDIG */
#ifdef SCM_FLOATS
#define SCM_NUMBERP(x) (SCM_INUMP(x) || (SCM_NIMP(x) && SCM_NUMP(x)))
#ifdef SCM_BIGDIG
#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
? (double) SCM_INUM (x) \
: (SCM_REALP (x) \
? SCM_REALPART (x) \
: scm_big2dbl (x)))
#else
#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
? (double) SCM_INUM (x) \
: SCM_REALPART (x))
#endif
#else
#ifdef SCM_BIGDIG
#define SCM_NUMBERP(x) (SCM_INUMP(x) || (SCM_NIMP(x) && SCM_NUMP(x)))
#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
? (double) SCM_INUM (x) \
: scm_big2dbl (x))
#else
#define SCM_NUMBERP SCM_INUMP
#define SCM_NUM2DBL(x) ((double) SCM_INUM (x))
#endif
#endif
#define SCM_NUMP(x) (SCM_NIMP(x) && (0xfcff & (int)SCM_CAR(x))==scm_tc7_smob)
#define SCM_BIGP(x) (SCM_NIMP(x) && SCM_TYP16S(x)==scm_tc16_bigpos)
#define SCM_BIGSIGN(x) (0x0100 & (int)SCM_CAR(x))
#define SCM_BDIGITS(x) ((SCM_BIGDIG *)(SCM_CDR(x)))
#define SCM_NUMDIGS(x) ((scm_sizet)(SCM_CARW (x)>>16))
#define SCM_SETNUMDIGS(x, v, t) SCM_SETCAR(x, (((v)+0L)<<16)+(t))
#ifdef SCM_FLOATS
typedef struct scm_dblproc
{
char *scm_string;
double (*cproc) ();
} scm_dblproc;
#ifdef SCM_SINGLES
typedef struct scm_flo
{
SCM type;
float num;
} scm_flo;
#endif
typedef struct scm_dbl
{
SCM type;
double *real;
} scm_dbl;
#endif
extern SCM scm_exact_p (SCM x);
extern SCM scm_odd_p (SCM n);
extern SCM scm_even_p (SCM n);
extern SCM scm_abs (SCM x);
extern SCM scm_quotient (SCM x, SCM y);
extern SCM scm_remainder (SCM x, SCM y);
extern SCM scm_modulo (SCM x, SCM y);
extern SCM scm_gcd (SCM x, SCM y);
extern SCM scm_lcm (SCM n1, SCM n2);
extern SCM scm_logand (SCM n1, SCM n2);
extern SCM scm_logior (SCM n1, SCM n2);
extern SCM scm_logxor (SCM n1, SCM n2);
extern SCM scm_logtest (SCM n1, SCM n2);
extern SCM scm_logbit_p (SCM n1, SCM n2);
extern SCM scm_lognot (SCM n);
extern SCM scm_integer_expt (SCM z1, SCM z2);
extern SCM scm_ash (SCM n, SCM cnt);
extern SCM scm_bit_extract (SCM n, SCM start, SCM end);
extern SCM scm_logcount (SCM n);
extern SCM scm_integer_length (SCM n);
extern SCM scm_mkbig (scm_sizet nlen, int sign);
extern SCM scm_big2inum (SCM b, scm_sizet l);
extern SCM scm_adjbig (SCM b, scm_sizet nlen);
extern SCM scm_normbig (SCM b);
extern SCM scm_copybig (SCM b, int sign);
extern SCM scm_long2big (long n);
extern SCM scm_long_long2big (long_long n);
extern SCM scm_2ulong2big (unsigned long * np);
extern SCM scm_ulong2big (unsigned long n);
extern int scm_bigcomp (SCM x, SCM y);
extern long scm_pseudolong (long x);
extern void scm_longdigs (long x, SCM_BIGDIG digs[]);
extern SCM scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny);
extern SCM scm_mulbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn);
extern unsigned int scm_divbigdig (SCM_BIGDIG *ds, scm_sizet h, SCM_BIGDIG div);
extern SCM scm_divbigint (SCM x, long z, int sgn, int mode);
extern SCM scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes);
extern scm_sizet scm_iint2str (long num, int rad, char *p);
extern SCM scm_number_to_string (SCM x, SCM radix);
extern int scm_floprint (SCM sexp, SCM port, scm_print_state *pstate);
extern int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
extern SCM scm_istr2int (char *str, long len, long radix);
extern SCM scm_istr2flo (char *str, long len, long radix);
extern SCM scm_istring2number (char *str, long len, long radix);
extern SCM scm_string_to_number (SCM str, SCM radix);
extern SCM scm_makdbl (double x, double y);
extern SCM scm_bigequal (SCM x, SCM y);
extern SCM scm_floequal (SCM x, SCM y);
extern SCM scm_number_p (SCM x);
extern SCM scm_real_p (SCM x);
extern SCM scm_integer_p (SCM x);
extern SCM scm_inexact_p (SCM x);
extern SCM scm_num_eq_p (SCM x, SCM y);
extern SCM scm_less_p (SCM x, SCM y);
extern SCM scm_gr_p (SCM x, SCM y);
extern SCM scm_leq_p (SCM x, SCM y);
extern SCM scm_geq_p (SCM x, SCM y);
extern SCM scm_zero_p (SCM z);
extern SCM scm_positive_p (SCM x);
extern SCM scm_negative_p (SCM x);
extern SCM scm_max (SCM x, SCM y);
extern SCM scm_min (SCM x, SCM y);
extern SCM scm_sum (SCM x, SCM y);
extern SCM scm_difference (SCM x, SCM y);
extern SCM scm_product (SCM x, SCM y);
extern double scm_num2dbl (SCM a, const char * why);
extern SCM scm_divide (SCM x, SCM y);
extern double scm_asinh (double x);
extern double scm_acosh (double x);
extern double scm_atanh (double x);
extern double scm_truncate (double x);
extern double scm_round (double x);
extern double scm_exact_to_inexact (double z);
extern SCM scm_sys_expt (SCM z1, SCM z2);
extern SCM scm_sys_atan2 (SCM z1, SCM z2);
extern SCM scm_make_rectangular (SCM z1, SCM z2);
extern SCM scm_make_polar (SCM z1, SCM z2);
extern SCM scm_real_part (SCM z);
extern SCM scm_imag_part (SCM z);
extern SCM scm_magnitude (SCM z);
extern SCM scm_angle (SCM z);
extern SCM scm_inexact_to_exact (SCM z);
extern SCM scm_trunc (SCM x);
extern SCM scm_dbl2big (double d);
extern double scm_big2dbl (SCM b);
extern SCM scm_long2num (long sl);
extern SCM scm_long_long2num (long_long sl);
extern SCM scm_ulong2num (unsigned long sl);
extern long scm_num2long (SCM num, char *pos, const char *s_caller);
extern long_long scm_num2long_long (SCM num, char *pos,
const char *s_caller);
extern unsigned long scm_num2ulong (SCM num, char *pos,
const char *s_caller);
extern void scm_init_numbers (void);
#endif /* NUMBERSH */