/* 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 */