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Diffstat (limited to 'libguile/numbers.h')
-rw-r--r-- | libguile/numbers.h | 436 |
1 files changed, 436 insertions, 0 deletions
diff --git a/libguile/numbers.h b/libguile/numbers.h new file mode 100644 index 000000000..abd1e7a24 --- /dev/null +++ b/libguile/numbers.h @@ -0,0 +1,436 @@ +/* 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 "__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 */ |