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318 lines
10 KiB
C
318 lines
10 KiB
C
/* classes: h_files */
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#ifndef SCM_NUMBERS_H
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#define SCM_NUMBERS_H
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/* Copyright (C) 1995,1996,1998,2000,2001 Free Software Foundation, Inc.
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*
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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*
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* This library 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 GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with this library; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*/
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#include "libguile/__scm.h"
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#include "libguile/print.h"
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#if SCM_HAVE_FLOATINGPOINT_H
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# include <floatingpoint.h>
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#endif
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#if SCM_HAVE_IEEEFP_H
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# include <ieeefp.h>
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#endif
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#if SCM_HAVE_NAN_H
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# if defined (SCO)
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# define _IEEE 1
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# endif
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# include <nan.h>
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# if defined (SCO)
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# undef _IEEE
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# endif
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#endif /* SCM_HAVE_NAN_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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/* SCM_T_SIGNED_MAX is (- (expt 2 n) 1),
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* SCM_MOST_POSITIVE_FIXNUM should be (- (expt 2 (- n 2)) 1)
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* which is the same as (/ (- (expt 2 n) 4) 4)
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*/
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#define SCM_I_FIXNUM_BIT (SCM_LONG_BIT - 2)
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#define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
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#define SCM_MOST_NEGATIVE_FIXNUM (-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) \
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(SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + scm_tc2_int))
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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 exponent
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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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#if SCM_HAVE_STDC_HEADERS
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# ifndef GO32
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# include <float.h>
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# ifdef __MINGW32__
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# define copysign _copysign
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# define isnan _isnan
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# define finite _finite
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# endif /* __MINGW32__ */
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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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/* Note that scm_tc16_real and scm_tc16_complex are given tc16-codes that only
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* differ in one bit: This way, checking if an object is an inexact number can
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* be done quickly (using the TYP16S macro). */
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/* Number subtype 1 to 3 (note the dependency on the predicates SCM_INEXACTP
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* and SCM_NUMP) */
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#define scm_tc16_big (scm_tc7_number + 1 * 256L)
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#define scm_tc16_real (scm_tc7_number + 2 * 256L)
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#define scm_tc16_complex (scm_tc7_number + 3 * 256L)
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#define SCM_INEXACTP(x) \
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(!SCM_IMP (x) && (0xfeff & SCM_CELL_TYPE (x)) == scm_tc16_real)
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#define SCM_REALP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_real)
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#define SCM_COMPLEXP(x) (!SCM_IMP (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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/* Each bignum is just an mpz_t stored in a double cell starting at word 1. */
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#define SCM_I_BIG_MPZ(x) (*((mpz_t *) (&(SCM_CELL_WORD_1(x)))))
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#define SCM_BIGP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_big)
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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) \
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&& (0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_number)
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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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SCM_API SCM scm_exact_p (SCM x);
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SCM_API SCM scm_odd_p (SCM n);
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SCM_API SCM scm_even_p (SCM n);
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SCM_API SCM scm_inf_p (SCM n);
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SCM_API SCM scm_nan_p (SCM n);
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SCM_API SCM scm_inf (void);
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SCM_API SCM scm_nan (void);
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SCM_API SCM scm_abs (SCM x);
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SCM_API SCM scm_quotient (SCM x, SCM y);
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SCM_API SCM scm_remainder (SCM x, SCM y);
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SCM_API SCM scm_modulo (SCM x, SCM y);
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SCM_API SCM scm_gcd (SCM x, SCM y);
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SCM_API SCM scm_lcm (SCM n1, SCM n2);
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SCM_API SCM scm_logand (SCM n1, SCM n2);
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SCM_API SCM scm_logior (SCM n1, SCM n2);
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SCM_API SCM scm_logxor (SCM n1, SCM n2);
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SCM_API SCM scm_logtest (SCM n1, SCM n2);
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SCM_API SCM scm_logbit_p (SCM n1, SCM n2);
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SCM_API SCM scm_lognot (SCM n);
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SCM_API SCM scm_integer_expt (SCM z1, SCM z2);
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SCM_API SCM scm_ash (SCM n, SCM cnt);
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SCM_API SCM scm_bit_extract (SCM n, SCM start, SCM end);
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SCM_API SCM scm_logcount (SCM n);
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SCM_API SCM scm_integer_length (SCM n);
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SCM_API size_t scm_iint2str (long num, int rad, char *p);
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SCM_API SCM scm_number_to_string (SCM x, SCM radix);
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SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
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SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
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SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
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SCM_API SCM scm_i_mem2number (const char *mem, size_t len, unsigned int radix);
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SCM_API SCM scm_string_to_number (SCM str, SCM radix);
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SCM_API SCM scm_make_real (double x);
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SCM_API SCM scm_make_complex (double x, double y);
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SCM_API SCM scm_bigequal (SCM x, SCM y);
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SCM_API SCM scm_real_equalp (SCM x, SCM y);
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SCM_API SCM scm_complex_equalp (SCM x, SCM y);
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SCM_API SCM scm_number_p (SCM x);
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SCM_API SCM scm_real_p (SCM x);
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SCM_API SCM scm_integer_p (SCM x);
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SCM_API SCM scm_inexact_p (SCM x);
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SCM_API SCM scm_num_eq_p (SCM x, SCM y);
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SCM_API SCM scm_less_p (SCM x, SCM y);
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SCM_API SCM scm_gr_p (SCM x, SCM y);
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SCM_API SCM scm_leq_p (SCM x, SCM y);
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SCM_API SCM scm_geq_p (SCM x, SCM y);
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SCM_API SCM scm_zero_p (SCM z);
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SCM_API SCM scm_positive_p (SCM x);
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SCM_API SCM scm_negative_p (SCM x);
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SCM_API SCM scm_max (SCM x, SCM y);
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SCM_API SCM scm_min (SCM x, SCM y);
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SCM_API SCM scm_sum (SCM x, SCM y);
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SCM_API SCM scm_difference (SCM x, SCM y);
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SCM_API SCM scm_product (SCM x, SCM y);
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SCM_API double scm_num2dbl (SCM a, const char * why);
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SCM_API SCM scm_divide (SCM x, SCM y);
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SCM_API double scm_asinh (double x);
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SCM_API double scm_acosh (double x);
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SCM_API double scm_atanh (double x);
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SCM_API double scm_truncate (double x);
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SCM_API double scm_round (double x);
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SCM_API SCM scm_sys_expt (SCM z1, SCM z2);
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SCM_API SCM scm_sys_atan2 (SCM z1, SCM z2);
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SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
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SCM_API SCM scm_make_polar (SCM z1, SCM z2);
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SCM_API SCM scm_real_part (SCM z);
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SCM_API SCM scm_imag_part (SCM z);
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SCM_API SCM scm_magnitude (SCM z);
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SCM_API SCM scm_angle (SCM z);
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SCM_API SCM scm_exact_to_inexact (SCM z);
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SCM_API SCM scm_inexact_to_exact (SCM z);
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SCM_API SCM scm_trunc (SCM x);
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SCM_API SCM scm_short2num (short n);
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SCM_API SCM scm_ushort2num (unsigned short n);
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SCM_API SCM scm_int2num (int n);
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SCM_API SCM scm_uint2num (unsigned int n);
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SCM_API SCM scm_long2num (long n);
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SCM_API SCM scm_ulong2num (unsigned long n);
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SCM_API SCM scm_size2num (size_t n);
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SCM_API SCM scm_ptrdiff2num (scm_t_ptrdiff n);
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SCM_API short scm_num2short (SCM num, unsigned long int pos,
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const char *s_caller);
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SCM_API unsigned short scm_num2ushort (SCM num, unsigned long int pos,
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const char *s_caller);
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SCM_API int scm_num2int (SCM num, unsigned long int pos,
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const char *s_caller);
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SCM_API unsigned int scm_num2uint (SCM num, unsigned long int pos,
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const char *s_caller);
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SCM_API long scm_num2long (SCM num, unsigned long int pos,
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const char *s_caller);
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SCM_API unsigned long scm_num2ulong (SCM num, unsigned long int pos,
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const char *s_caller);
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SCM_API scm_t_ptrdiff scm_num2ptrdiff (SCM num, unsigned long int pos,
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const char *s_caller);
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SCM_API size_t scm_num2size (SCM num, unsigned long int pos,
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const char *s_caller);
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#if SCM_SIZEOF_LONG_LONG != 0
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SCM_API SCM scm_long_long2num (long long sl);
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SCM_API SCM scm_ulong_long2num (unsigned long long sl);
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SCM_API long long scm_num2long_long (SCM num, unsigned long int pos,
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const char *s_caller);
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SCM_API 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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SCM_API SCM scm_float2num (float n);
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SCM_API SCM scm_double2num (double n);
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SCM_API float scm_num2float (SCM num, unsigned long int pos,
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const char *s_caller);
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SCM_API double scm_num2double (SCM num, unsigned long int pos,
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const char *s_caller);
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/* bignum internal functions */
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SCM_API SCM scm_i_mkbig (void);
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SCM_API SCM scm_i_normbig (SCM x);
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SCM_API int scm_i_bigcmp (SCM a, SCM b);
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SCM_API SCM scm_i_dbl2big (double d);
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SCM_API double scm_i_big2dbl (SCM b);
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SCM_API SCM scm_i_short2big (short n);
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SCM_API SCM scm_i_ushort2big (unsigned short n);
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SCM_API SCM scm_i_int2big (int n);
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SCM_API SCM scm_i_uint2big (unsigned int n);
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SCM_API SCM scm_i_long2big (long n);
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SCM_API SCM scm_i_ulong2big (unsigned long n);
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SCM_API SCM scm_i_size2big (size_t n);
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SCM_API SCM scm_i_ptrdiff2big (scm_t_ptrdiff n);
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#if SCM_SIZEOF_LONG_LONG != 0
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SCM_API SCM scm_i_long_long2big (long long n);
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SCM_API SCM scm_i_ulong_long2big (unsigned long long n);
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#endif
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#ifdef GUILE_DEBUG
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SCM_API SCM scm_sys_check_number_conversions (void);
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#endif
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SCM_API void scm_init_numbers (void);
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#endif /* SCM_NUMBERS_H */
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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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