/* classes: h_files */ #ifndef NUMBERSH #define NUMBERSH /* Copyright (C) 1995, 1996, 1998 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. */ /* Software engineering face-lift by Greg J. Badros, 11-Dec-1999, gjb@cs.washington.edu, http://www.cs.washington.edu/homes/gjb */ #include "libguile/__scm.h" #include "libguile/print.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) ((SCM) (((SCM_ASWORD(x)<<1)<<1)+2L)) #else # define SCM_MAKINUM(x) ((SCM)((SCM_ASWORD(x)<<2)+2L)) #endif /* def __TURBOC__ */ /* SCM_SRS is signed right shift */ /* SCM_INUM makes a C int from an SCM immediate number. */ /* 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) (SCM_ASWORD (x)>>y) # ifdef __TURBOC__ # define SCM_INUM(x) ((SCM_ASWORD(x) >>1) >>1) # else # define SCM_INUM(x) SCM_SRS(x, 2) # endif /* def __TURBOC__ */ #else # define SCM_SRS(x, y) ((SCM_ASWORD(x) < 0) ? ~( (~SCM_ASWORD(x)) >>y) : (SCM_ASWORD (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_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM) #define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM) #define SCM_UNEGFIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM) #define SCM_FIXABLE(n) (SCM_POSFIXABLE(n) && SCM_NEGFIXABLE(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_NIMP(x) && (SCM_TYP16(x)==scm_tc16_flo)) #define SCM_CPLXP(x) (SCM_NIMP(x) && (SCM_CARW (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_NIMP(x) && ((~SCM_REAL_PART & SCM_CARW (x))==scm_tc_flo)) #define SCM_SINGP(x) (SCM_NIMP(x) && (SCM_CARW (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_NIMP(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_BIGUP(x) ((unsigned long)(x) << SCM_BITSPERDIG) # define SCM_LONGLONGBIGUP(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 SCM_NO_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))) #ifdef SCM_BIGDIG #define SCM_NUM2DBL(x) (SCM_INUMP (x) \ ? (double) SCM_INUM (x) \ : (SCM_REALP (x) \ ? SCM_REALPART (x) \ : scm_big2dbl (x))) #else #define SCM_NUM2DBL(x) (SCM_INUMP (x) \ ? (double) SCM_INUM (x) \ : SCM_REALPART (x)) #endif #else #ifdef SCM_BIGDIG #define SCM_NUMBERP(x) (SCM_INUMP(x) || (SCM_NIMP(x) && SCM_NUMP(x))) #define SCM_NUM2DBL(x) (SCM_INUMP (x) \ ? (double) SCM_INUM (x) \ : scm_big2dbl (x)) #else #define SCM_NUMBERP SCM_INUMP #define SCM_NUM2DBL(x) ((double) SCM_INUM (x)) #endif #endif #define SCM_NUMP(x) (SCM_NIMP(x) && (0xfcff & (int)SCM_CAR(x))==scm_tc7_smob) #define SCM_BIGP(x) (SCM_NIMP(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_CARW (x)>>16)) #define SCM_SETNUMDIGS(x, v, t) SCM_SETCAR(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 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_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, scm_print_state *pstate); extern int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate); 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_integer_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, const char * why); 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, const char *s_caller); extern long_long scm_num2long_long (SCM num, char *pos, const char *s_caller); extern unsigned long scm_num2ulong (SCM num, char *pos, const char *s_caller); extern void scm_init_numbers (void); #endif /* NUMBERSH */