mirror of
https://git.savannah.gnu.org/git/guile.git
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0e0f3969a9
scm_round_number): New functions, replacing scm_tc7_cxr definitions, and ensuring exact arguments give exact results, as required by R5RS. Derived in part from the same by Marius in the cvs head. Reported by Ray Lehtiniemi.
373 lines
13 KiB
C
373 lines
13 KiB
C
/* classes: h_files */
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#ifndef NUMBERSH
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#define NUMBERSH
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/* Copyright (C) 1995,1996,1998,2000,2001, 2004 Free Software Foundation, Inc.
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2, or (at your option)
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* any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this software; see the file COPYING. If not, write to
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* the Free Software Foundation, Inc., 59 Temple Place, Suite 330,
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* Boston, MA 02111-1307 USA
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*
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* As a special exception, the Free Software Foundation gives permission
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* for additional uses of the text contained in its release of GUILE.
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*
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* The exception is that, if you link the GUILE library with other files
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* to produce an executable, this does not by itself cause the
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* resulting executable to be covered by the GNU General Public License.
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* Your use of that executable is in no way restricted on account of
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* linking the GUILE library code into it.
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*
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* This exception does not however invalidate any other reasons why
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* the executable file might be covered by the GNU General Public License.
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*
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* This exception applies only to the code released by the
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* Free Software Foundation under the name GUILE. If you copy
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* code from other Free Software Foundation releases into a copy of
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* GUILE, as the General Public License permits, the exception does
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* not apply to the code that you add in this way. To avoid misleading
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* anyone as to the status of such modified files, you must delete
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* this exception notice from them.
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*
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* If you write modifications of your own for GUILE, it is your choice
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* whether to permit this exception to apply to your modifications.
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* If you do not wish that, delete this exception notice. */
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#include "libguile/__scm.h"
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#include "libguile/print.h"
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/* Immediate Numbers, also known as fixnums
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*
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* Inums are exact integer data that fits within an SCM word. */
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#define SCM_I_FIXNUM_BIT \
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(SCM_LONG_BIT - 2)
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#define SCM_MOST_POSITIVE_FIXNUM \
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((((scm_t_signed_bits) 1) << (SCM_I_FIXNUM_BIT - 1)) - 1)
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#define SCM_MOST_NEGATIVE_FIXNUM \
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(-((scm_t_signed_bits) SCM_MOST_POSITIVE_FIXNUM) - 1)
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/* SCM_SRS is signed right shift */
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#if (-1 == (((-1) << 2) + 2) >> 2)
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# define SCM_SRS(x, y) ((x) >> (y))
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#else
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# define SCM_SRS(x, y) ((x) < 0 ? ~((~(x)) >> (y)) : ((x) >> (y)))
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#endif /* (-1 == (((-1) << 2) + 2) >> 2) */
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#define SCM_INUMP(x) (2 & SCM_UNPACK (x))
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#define SCM_NINUMP(x) (!SCM_INUMP (x))
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#define SCM_MAKINUM(x) (SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + 2))
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#define SCM_INUM(x) (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))
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/* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
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#define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
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#define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
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#define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))
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/* A name for 0. */
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#define SCM_INUM0 (SCM_MAKINUM (0))
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/* SCM_MAXEXP is the maximum double precision expontent
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* SCM_FLTMAX is less than or scm_equal the largest single precision float
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*/
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#ifdef STDC_HEADERS
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#ifndef GO32
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#include <float.h>
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#endif /* ndef GO32 */
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#endif /* def STDC_HEADERS */
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#ifdef DBL_MAX_10_EXP
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#define SCM_MAXEXP DBL_MAX_10_EXP
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#else
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#define SCM_MAXEXP 308 /* IEEE doubles */
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#endif /* def DBL_MAX_10_EXP */
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#ifdef FLT_MAX
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#define SCM_FLTMAX FLT_MAX
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#else
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#define SCM_FLTMAX 1e+23
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#endif /* def FLT_MAX */
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/* SCM_INTBUFLEN is the maximum number of characters neccessary for the
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* printed or scm_string representation of an exact immediate.
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*/
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#define SCM_INTBUFLEN (5 + SCM_LONG_BIT)
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/* Numbers
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*/
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#define SCM_SLOPPY_INEXACTP(x) (SCM_TYP16S (x) == scm_tc16_real)
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#define SCM_SLOPPY_REALP(x) (SCM_TYP16 (x) == scm_tc16_real)
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#define SCM_SLOPPY_COMPLEXP(x) (SCM_TYP16 (x) == scm_tc16_complex)
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#define SCM_INEXACTP(x) (SCM_NIMP (x) && SCM_TYP16S (x) == scm_tc16_real)
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#define SCM_REALP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_real)
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#define SCM_COMPLEXP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
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#define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
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#define SCM_COMPLEX_MEM(x) ((scm_t_complex *) SCM_CELL_WORD_1 (x))
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#define SCM_COMPLEX_REAL(x) (SCM_COMPLEX_MEM (x)->real)
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#define SCM_COMPLEX_IMAG(x) (SCM_COMPLEX_MEM (x)->imag)
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/* Define SCM_BIGDIG to an integer type whose size is smaller than long if
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* you want bignums. SCM_BIGRAD is one greater than the biggest SCM_BIGDIG.
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*
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* Define SCM_DIGSTOOBIG if the digits equivalent to a long won't fit in a long.
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*/
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#ifdef BIGNUMS
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# ifdef _UNICOS
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# define SCM_DIGSTOOBIG
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# if (1L << 31) <= SCM_USHRT_MAX
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# define SCM_BIGDIG unsigned short
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# else
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# define SCM_BIGDIG unsigned int
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# endif /* (1L << 31) <= USHRT_MAX */
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# define SCM_BITSPERDIG 32
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# else
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# define SCM_BIGDIG unsigned short
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# define SCM_BITSPERDIG (sizeof(SCM_BIGDIG)*SCM_CHAR_BIT)
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# endif /* def _UNICOS */
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# define SCM_BIGRAD (1L << SCM_BITSPERDIG)
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# define SCM_DIGSPERLONG ((size_t)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
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# define SCM_I_BIGUP(type, x) ((type)(x) << SCM_BITSPERDIG)
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# define SCM_BIGUP(x) SCM_I_BIGUP (unsigned long, x)
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# define SCM_LONGLONGBIGUP(x) SCM_I_BIGUP (unsigned long long, x)
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# define SCM_BIGDN(x) ((x) >> SCM_BITSPERDIG)
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# define SCM_BIGLO(x) ((x) & (SCM_BIGRAD-1))
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#endif /* def BIGNUMS */
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#ifndef SCM_BIGDIG
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/* Definition is not really used but helps various function
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* prototypes to compile with conditionalization.
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*/
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# define SCM_BIGDIG unsigned short
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#endif /* ndef SCM_BIGDIG */
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#define SCM_NUMBERP(x) (SCM_INUMP(x) || SCM_NUMP(x))
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#define SCM_NUMP(x) (!SCM_IMP(x) && (0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_smob)
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#define SCM_BIGP(x) (!SCM_IMP (x) && (SCM_TYP16 (x) == scm_tc16_big))
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#define SCM_BIGSIGNFLAG 0x10000L
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#define SCM_BIGSIZEFIELD 17
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#define SCM_BIGSIGN(x) (SCM_CELL_WORD_0 (x) & SCM_BIGSIGNFLAG)
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#define SCM_BDIGITS(x) ((SCM_BIGDIG *) (SCM_CELL_WORD_1 (x)))
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#define SCM_SET_BIGNUM_BASE(n, b) (SCM_SET_CELL_WORD_1 ((n), (b)))
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#define SCM_NUMDIGS(x) ((size_t) (SCM_CELL_WORD_0 (x) >> SCM_BIGSIZEFIELD))
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#define SCM_SETNUMDIGS(x, v, sign) \
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SCM_SET_CELL_WORD_0 (x, \
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scm_tc16_big \
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| ((sign) ? SCM_BIGSIGNFLAG : 0) \
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| (((v) + 0L) << SCM_BIGSIZEFIELD))
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typedef struct scm_t_double
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{
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SCM type;
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SCM pad;
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double real;
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} scm_t_double;
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typedef struct scm_t_complex
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{
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double real;
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double imag;
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} scm_t_complex;
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extern SCM scm_exact_p (SCM x);
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extern SCM scm_odd_p (SCM n);
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extern SCM scm_even_p (SCM n);
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extern SCM scm_abs (SCM x);
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extern SCM scm_quotient (SCM x, SCM y);
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extern SCM scm_remainder (SCM x, SCM y);
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extern SCM scm_modulo (SCM x, SCM y);
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extern SCM scm_gcd (SCM x, SCM y);
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extern SCM scm_lcm (SCM n1, SCM n2);
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extern SCM scm_logand (SCM n1, SCM n2);
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extern SCM scm_logior (SCM n1, SCM n2);
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extern SCM scm_logxor (SCM n1, SCM n2);
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extern SCM scm_logtest (SCM n1, SCM n2);
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extern SCM scm_logbit_p (SCM n1, SCM n2);
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extern SCM scm_lognot (SCM n);
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extern SCM scm_integer_expt (SCM z1, SCM z2);
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extern SCM scm_ash (SCM n, SCM cnt);
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extern SCM scm_bit_extract (SCM n, SCM start, SCM end);
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extern SCM scm_logcount (SCM n);
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extern SCM scm_integer_length (SCM n);
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extern SCM scm_i_mkbig (size_t nlen, int sign);
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extern SCM scm_i_big2inum (SCM b, size_t l);
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extern SCM scm_i_adjbig (SCM b, size_t nlen);
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extern SCM scm_i_normbig (SCM b);
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extern SCM scm_i_copybig (SCM b, int sign);
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extern SCM scm_i_short2big (short n);
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extern SCM scm_i_ushort2big (unsigned short n);
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extern SCM scm_i_int2big (int n);
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extern SCM scm_i_uint2big (unsigned int n);
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extern SCM scm_i_long2big (long n);
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extern SCM scm_i_ulong2big (unsigned long n);
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extern SCM scm_i_size2big (size_t n);
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extern SCM scm_i_ptrdiff2big (ptrdiff_t n);
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#if (SCM_DEBUG_DEPRECATED == 0)
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extern SCM scm_big2inum (SCM b, size_t l);
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extern SCM scm_mkbig (size_t nlen, int sign);
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extern SCM scm_adjbig (SCM b, size_t len);
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extern SCM scm_normbig (SCM b);
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extern SCM scm_copybig (SCM b, int sign);
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#define SCM_FIXNUM_BIT SCM_I_FIXNUM_BIT
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#endif
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#ifdef HAVE_LONG_LONGS
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extern SCM scm_i_long_long2big (long long n);
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extern SCM scm_i_ulong_long2big (unsigned long long n);
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#endif
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#if (SCM_DEBUG_DEPRECATED == 0)
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extern SCM scm_2ulong2big (unsigned long * np);
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#endif
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extern int scm_bigcomp (SCM x, SCM y);
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extern long scm_pseudolong (long x);
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extern void scm_longdigs (long x, SCM_BIGDIG digs[]);
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extern SCM scm_addbig (SCM_BIGDIG *x, size_t nx, int xsgn, SCM bigy, int sgny);
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extern SCM scm_mulbig (SCM_BIGDIG *x, size_t nx, SCM_BIGDIG *y, size_t ny, int sgn);
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extern unsigned int scm_divbigdig (SCM_BIGDIG *ds, size_t h, SCM_BIGDIG div);
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extern size_t scm_iint2str (long num, int rad, char *p);
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extern SCM scm_number_to_string (SCM x, SCM radix);
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extern int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
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extern int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
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extern int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
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extern SCM scm_istr2int (char *str, long len, long radix);
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extern SCM scm_istr2flo (char *str, long len, long radix);
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extern SCM scm_istring2number (char *str, long len, long radix);
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extern SCM scm_string_to_number (SCM str, SCM radix);
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extern SCM scm_make_real (double x);
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extern SCM scm_make_complex (double x, double y);
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extern SCM scm_bigequal (SCM x, SCM y);
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extern SCM scm_real_equalp (SCM x, SCM y);
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extern SCM scm_complex_equalp (SCM x, SCM y);
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extern SCM scm_number_p (SCM x);
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extern SCM scm_real_p (SCM x);
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extern SCM scm_integer_p (SCM x);
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extern SCM scm_inexact_p (SCM x);
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extern SCM scm_num_eq_p (SCM x, SCM y);
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extern SCM scm_less_p (SCM x, SCM y);
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extern SCM scm_gr_p (SCM x, SCM y);
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extern SCM scm_leq_p (SCM x, SCM y);
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extern SCM scm_geq_p (SCM x, SCM y);
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extern SCM scm_zero_p (SCM z);
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extern SCM scm_positive_p (SCM x);
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extern SCM scm_negative_p (SCM x);
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extern SCM scm_max (SCM x, SCM y);
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extern SCM scm_min (SCM x, SCM y);
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extern SCM scm_sum (SCM x, SCM y);
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extern SCM scm_difference (SCM x, SCM y);
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extern SCM scm_product (SCM x, SCM y);
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extern double scm_num2dbl (SCM a, const char * why);
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extern SCM scm_divide (SCM x, SCM y);
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extern double scm_asinh (double x);
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extern double scm_acosh (double x);
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extern double scm_atanh (double x);
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extern double scm_truncate (double x);
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extern double scm_round (double x);
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extern double scm_exact_to_inexact (double z);
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extern SCM scm_truncate_number (SCM x);
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extern SCM scm_round_number (SCM x);
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extern SCM scm_floor (SCM x);
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extern SCM scm_ceiling (SCM x);
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extern SCM scm_sys_expt (SCM z1, SCM z2);
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extern SCM scm_sys_atan2 (SCM z1, SCM z2);
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extern SCM scm_make_rectangular (SCM z1, SCM z2);
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extern SCM scm_make_polar (SCM z1, SCM z2);
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extern SCM scm_real_part (SCM z);
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extern SCM scm_imag_part (SCM z);
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extern SCM scm_magnitude (SCM z);
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extern SCM scm_angle (SCM z);
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extern SCM scm_inexact_to_exact (SCM z);
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extern SCM scm_trunc (SCM x);
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extern SCM scm_i_dbl2big (double d);
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#if (SCM_DEBUG_DEPRECATED == 0)
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extern SCM scm_dbl2big (double d);
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#endif
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extern double scm_i_big2dbl (SCM b);
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#if (SCM_DEBUG_DEPRECATED == 0)
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extern double scm_big2dbl (SCM b);
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#endif
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extern SCM scm_short2num (short n);
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extern SCM scm_ushort2num (unsigned short n);
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extern SCM scm_int2num (int n);
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extern SCM scm_uint2num (unsigned int n);
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extern SCM scm_long2num (long n);
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extern SCM scm_ulong2num (unsigned long n);
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extern SCM scm_size2num (size_t n);
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extern SCM scm_ptrdiff2num (ptrdiff_t n);
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extern short scm_num2short (SCM num, unsigned long int pos,
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const char *s_caller);
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extern unsigned short scm_num2ushort (SCM num, unsigned long int pos,
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const char *s_caller);
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extern int scm_num2int (SCM num, unsigned long int pos,
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const char *s_caller);
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extern unsigned int scm_num2uint (SCM num, unsigned long int pos,
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const char *s_caller);
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extern long scm_num2long (SCM num, unsigned long int pos,
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const char *s_caller);
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extern unsigned long scm_num2ulong (SCM num, unsigned long int pos,
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const char *s_caller);
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extern ptrdiff_t scm_num2ptrdiff (SCM num, unsigned long int pos,
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const char *s_caller);
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extern size_t scm_num2size (SCM num, unsigned long int pos,
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const char *s_caller);
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#ifdef HAVE_LONG_LONGS
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extern SCM scm_long_long2num (long long sl);
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extern SCM scm_ulong_long2num (unsigned long long sl);
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extern long long scm_num2long_long (SCM num, unsigned long int pos,
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const char *s_caller);
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extern unsigned long long scm_num2ulong_long (SCM num, unsigned long int pos,
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const char *s_caller);
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#endif
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extern float scm_num2float (SCM num, unsigned long int pos,
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const char *s_caller);
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extern SCM scm_float2num (float n);
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extern double scm_num2double (SCM num, unsigned long int pos,
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const char *s_caller);
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extern SCM scm_double2num (double n);
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extern void scm_init_numbers (void);
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#endif /* NUMBERSH */
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/*
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Local Variables:
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c-file-style: "gnu"
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End:
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*/
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