X-Git-Url: http://git.hcoop.net/bpt/guile.git/blobdiff_plain/b4309c3c5aaaf14b91c9adbec5a668e7013774fe..e50186ab08383002122e51b277898f3b8cb6cc75:/libguile/numbers.h diff --git a/libguile/numbers.h b/libguile/numbers.h dissimilarity index 77% index 170eeda98..c8ec73530 100644 --- a/libguile/numbers.h +++ b/libguile/numbers.h @@ -1,436 +1,371 @@ -/* classes: h_files */ - -#ifndef NUMBERSH -#define NUMBERSH -/* Copyright (C) 1995,1996 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, 675 Mass Ave, Cambridge, MA 02139, 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. - */ - - -#include "libguile/__scm.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) ((((x)<<1)<<1)+2L) -#else -# define SCM_MAKINUM(x) (((x)<<2)+2L) -#endif /* def __TURBOC__ */ - - -/* SCM_SRS is signed right shift */ -/* 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) ((x)>>y) -# ifdef __TURBOC__ -# define SCM_INUM(x) (((x)>>1)>>1) -# else -# define SCM_INUM(x) SCM_SRS(x, 2) -# endif /* def __TURBOC__ */ -#else -# define SCM_SRS(x, y) (((x)<0) ? ~((~(x))>>y) : (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_POSSCM_FIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM) -#define SCM_NEGSCM_FIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM) -#define SCM_UNEGSCM_FIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM) -#define SCM_FIXABLE(n) (SCM_POSSCM_FIXABLE(n) && SCM_NEGSCM_FIXABLE(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_TYP16(x)==scm_tc16_flo) -#define SCM_CPLXP(x) (SCM_CAR(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_REAL_PART & SCM_CAR(x))==scm_tc_flo) -#define SCM_SINGP(x) (SCM_CAR(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_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_DIGSPERLONGLONG ((scm_sizet)((sizeof(long long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG)) -# define SCM_BIGUP(x) ((unsigned long)(x) << SCM_BITSPERDIG) -# define SCM_LONGLONGSCM_BIGUP(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 NO_SCM_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))) -#else -#ifdef SCM_BIGDIG -#define SCM_NUMBERP(x) (SCM_INUMP(x) || (SCM_NIMP(x) && SCM_NUMP(x))) -#else -#define SCM_NUMBERP SCM_INUMP -#endif -#endif -#define SCM_NUMP(x) ((0xfcff & (int)SCM_CAR(x))==scm_tc7_smob) -#define SCM_BIGP(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_CAR(x)>>16)) -#define SCM_SETNUMDIGS(x, v, t) SCM_CAR(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 - - - - -#ifdef __STDC__ -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_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, int writing); -extern int scm_bigprint(SCM exp, SCM port, int writing); -extern SCM scm_istr2int(char *str, long len, long radix); -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_int_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, char * why); -extern SCM scm_fuck (SCM a); -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, char *s_caller); -extern long num2long(SCM num, char *pos, char *s_caller); -extern long_long scm_num2long_long(SCM num, char *pos, char *s_caller); -extern unsigned long scm_num2ulong(SCM num, char *pos, char *s_caller); -extern void scm_init_numbers (void); - -#else /* STDC */ -extern SCM scm_exact_p(); -extern SCM scm_odd_p(); -extern SCM scm_even_p(); -extern SCM scm_abs(); -extern SCM scm_quotient(); -extern SCM scm_remainder(); -extern SCM scm_modulo(); -extern SCM scm_gcd(); -extern SCM scm_lcm(); -extern SCM scm_logand(); -extern SCM scm_logior(); -extern SCM scm_logxor(); -extern SCM scm_logtest(); -extern SCM scm_logbit_p(); -extern SCM scm_logand(); -extern SCM scm_logior(); -extern SCM scm_logxor(); -extern SCM scm_logtest(); -extern SCM scm_logbit_p(); -extern SCM scm_lognot(); -extern SCM scm_integer_expt(); -extern SCM scm_ash(); -extern SCM scm_bit_extract(); -extern SCM scm_logcount (); -extern SCM scm_integer_length(); -extern SCM scm_mkbig(); -extern SCM scm_big2inum(); -extern SCM scm_adjbig(); -extern SCM scm_normbig(); -extern SCM scm_copybig(); -extern SCM scm_long2big(); -extern SCM scm_long_long2big(); -extern SCM scm_2ulong2big(); -extern SCM scm_ulong2big(); -extern int scm_bigcomp(); -extern long scm_pseudolong(); -extern void scm_longdigs(); -extern SCM scm_addbig(); -extern SCM scm_mulbig(); -extern unsigned int scm_divbigdig(); -extern SCM scm_divbigint(); -extern SCM scm_divbigbig(); -extern scm_sizet scm_iint2str(); -extern SCM scm_number_to_string(); -extern int scm_floprint(); -extern int scm_bigprint(); -extern SCM scm_istr2int(); -extern SCM scm_istr2int(); -extern SCM scm_istr2flo(); -extern SCM scm_istring2number(); -extern SCM scm_string_to_number(); -extern SCM scm_makdbl (); -extern SCM scm_bigequal(); -extern SCM scm_floequal(); -extern SCM scm_number_p(); -extern SCM scm_real_p(); -extern SCM scm_int_p(); -extern SCM scm_inexact_p(); -extern SCM scm_num_eq_p (); -extern SCM scm_less_p(); -extern SCM scm_gr_p(); -extern SCM scm_leq_p(); -extern SCM scm_geq_p(); -extern SCM scm_zero_p(); -extern SCM scm_positive_p(); -extern SCM scm_negative_p(); -extern SCM scm_max(); -extern SCM scm_min(); -extern SCM scm_sum(); -extern SCM scm_difference(); -extern SCM scm_product(); -extern double scm_num2dbl (); -extern SCM scm_fuck (); -extern SCM scm_divide(); -extern double scm_asinh(); -extern double scm_acosh(); -extern double scm_atanh(); -extern double scm_truncate(); -extern double scm_round(); -extern double scm_exact_to_inexact(); -extern SCM scm_sys_expt(); -extern SCM scm_sys_atan2(); -extern SCM scm_make_rectangular(); -extern SCM scm_make_polar(); -extern SCM scm_real_part(); -extern SCM scm_imag_part(); -extern SCM scm_magnitude(); -extern SCM scm_angle(); -extern SCM scm_inexact_to_exact(); -extern SCM scm_trunc(); -extern SCM scm_dbl2big(); -extern double scm_big2dbl(); -extern SCM scm_long2num(); -extern SCM scm_long_long2num(); -extern SCM scm_ulong2num(); -extern long scm_num2long(); -extern long num2long(); -extern long_long scm_num2long_long(); -extern unsigned long scm_num2ulong(); -extern void scm_init_numbers (); - -#endif /* STDC */ - - - -#endif /* NUMBERSH */ +/* 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. */ + + + +#include "libguile/__scm.h" +#include "libguile/print.h" + +#if defined (HAVE_FLOATINGPOINT_H) +#include +#endif + +#if defined (HAVE_IEEEFP_H) +#include +#endif + +#if defined (HAVE_NAN_H) +#if defined (SCO) +#define _IEEE 1 +#endif +#include +#if defined (SCO) +#undef _IEEE +#endif +#endif + + + +/* 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 +#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) + + + +/* 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)) + + + +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; + + + +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_inf_p (SCM n); +SCM_API SCM scm_nan_p (SCM n); +SCM_API SCM scm_inf (void); +SCM_API SCM scm_nan (void); +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: +*/