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guile/libguile/numbers.h
Dirk Herrmann 7272f6d8b8 * Don't use SCM_SMOB_PREDICATE in header file.
2000-05-30 16:01:34 +00:00

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/* classes: h_files */
#ifndef NUMBERSH
#define NUMBERSH
/* Copyright (C) 1995, 1996, 1998, 2000 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.
*/
/* 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) ((SCM_UNPACK (x) < 0) ? ~((~SCM_UNPACK (x)) >> (y)) : (SCM_UNPACK (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 (((x) << 2) + 2L))
#define SCM_INUM(x) (SCM_SRS (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 expontent
* 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.
*/
#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)
/* 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_NIMP (x) && SCM_TYP16S (x) == scm_tc16_real)
#define SCM_REALP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_real)
#define SCM_COMPLEXP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
#define SCM_REAL_VALUE(x) (((scm_double_t *) SCM2PTR (x))->real)
#define SCM_COMPLEX_REAL(x) (((scm_complex_t *) SCM_CELL_WORD_1 (x))->real)
#define SCM_COMPLEX_IMAG(x) (((scm_complex_t *) SCM_CELL_WORD_1 (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 ((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
#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_NUMDIGS(x) ((scm_sizet) (SCM_CELL_WORD_0 (x) >> SCM_BIGSIZEFIELD))
#define SCM_SETNUMDIGS(x, v, sign) \
SCM_SET_CELL_WORD_0 (x, \
scm_tc16_big \
| ((sign) ? SCM_BIGSIGNFLAG : 0) \
| (((v) + 0L) << SCM_BIGSIZEFIELD))
typedef struct scm_double_t
{
SCM type;
SCM pad;
double real;
} scm_double_t;
typedef struct scm_complex_t
{
double real;
double imag;
} scm_complex_t;
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_sizet scm_iint2str (long num, int rad, char *p);
extern SCM scm_number_to_string (SCM x, SCM radix);
extern int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
extern int scm_print_complex (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_make_real (double x);
extern SCM scm_make_complex (double x, double y);
extern SCM scm_bigequal (SCM x, SCM y);
extern SCM scm_real_equalp (SCM x, SCM y);
extern SCM scm_complex_equalp (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);
#if (SCM_DEBUG_DEPRECATED == 0)
typedef struct scm_dblproc
{
char *scm_string;
double (*cproc) ();
} scm_dblproc;
#define SCM_NEWREAL(z, x) do { z = scm_make_real (x); } while (0)
#define SCM_NEWCOMPLEX(z, x, y) do { z = scm_make_complex (x, y); } while (0)
#define SCM_UNEGFIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM)
#define SCM_FLOBUFLEN (10+2*(sizeof(double)/sizeof(char)*SCM_CHAR_BIT*3+9)/10)
#define SCM_INEXP(x) SCM_INEXACTP(x)
#define SCM_CPLXP(x) SCM_COMPLEXP(x)
#define SCM_REAL(x) (SCM_SLOPPY_REALP (x) ? SCM_REAL_VALUE (x) : SCM_COMPLEX_REAL (x))
#define SCM_IMAG(x) (SCM_SLOPPY_REALP (x) ? 0.0 : SCM_COMPLEX_IMAG (x))
#define SCM_REALPART(x) (SCM_SLOPPY_REALP (x) ? SCM_REAL_VALUE (x) : SCM_COMPLEX_REAL (x))
#define scm_makdbl scm_make_complex
#define SCM_SINGP(x) 0
#define SCM_NUM2DBL(x) scm_num2dbl(x, "SCM_NUM2DBL")
#ifndef SCM_BIGDIG
# define SCM_NO_BIGDIG
#endif
#endif /* SCM_DEBUG_DEPRECATED == 0 */
#endif /* NUMBERSH */
/*
Local Variables:
c-file-style: "gnu"
End:
*/
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