/* classes: h_files */ #ifndef NUMBERSH #define NUMBERSH /* Copyright (C) 1995,1996,1998,2000,2001, 2004 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" /* Immediate Numbers, also known as fixnums * * Inums are exact integer data that fits within an SCM word. */ #define SCM_I_FIXNUM_BIT \ (SCM_LONG_BIT - 2) #define SCM_MOST_POSITIVE_FIXNUM \ ((((scm_t_signed_bits) 1) << (SCM_I_FIXNUM_BIT - 1)) - 1) #define SCM_MOST_NEGATIVE_FIXNUM \ (-((scm_t_signed_bits) 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 expontent * 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_NIMP (x) && SCM_TYP16S (x) == scm_tc16_real) #define SCM_REALP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_real) #define SCM_COMPLEXP(x) (SCM_NIMP (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_SETNUMDIGS(x, v, sign) \ SCM_SET_CELL_WORD_0 (x, \ scm_tc16_big \ | ((sign) ? SCM_BIGSIGNFLAG : 0) \ | (((v) + 0L) << SCM_BIGSIZEFIELD)) 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; 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_i_mkbig (size_t nlen, int sign); extern SCM scm_i_big2inum (SCM b, size_t l); extern SCM scm_i_adjbig (SCM b, size_t nlen); extern SCM scm_i_normbig (SCM b); extern SCM scm_i_copybig (SCM b, int sign); extern SCM scm_i_short2big (short n); extern SCM scm_i_ushort2big (unsigned short n); extern SCM scm_i_int2big (int n); extern SCM scm_i_uint2big (unsigned int n); extern SCM scm_i_long2big (long n); extern SCM scm_i_ulong2big (unsigned long n); extern SCM scm_i_size2big (size_t n); extern SCM scm_i_ptrdiff2big (ptrdiff_t n); #if (SCM_DEBUG_DEPRECATED == 0) extern SCM scm_big2inum (SCM b, size_t l); extern SCM scm_mkbig (size_t nlen, int sign); extern SCM scm_adjbig (SCM b, size_t len); extern SCM scm_normbig (SCM b); extern SCM scm_copybig (SCM b, int sign); #define SCM_FIXNUM_BIT SCM_I_FIXNUM_BIT #endif #ifdef HAVE_LONG_LONGS extern SCM scm_i_long_long2big (long long n); extern SCM scm_i_ulong_long2big (unsigned long long n); #endif #if (SCM_DEBUG_DEPRECATED == 0) extern SCM scm_2ulong2big (unsigned long * np); #endif 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, size_t nx, int xsgn, SCM bigy, int sgny); extern SCM scm_mulbig (SCM_BIGDIG *x, size_t nx, SCM_BIGDIG *y, size_t ny, int sgn); extern unsigned int scm_divbigdig (SCM_BIGDIG *ds, size_t h, SCM_BIGDIG div); extern size_t scm_iint2str (long num, int rad, char *p); extern SCM scm_number_to_string (SCM x, SCM radix); extern int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate); extern int scm_print_complex (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_make_real (double x); extern SCM scm_make_complex (double x, double y); extern SCM scm_bigequal (SCM x, SCM y); extern SCM scm_real_equalp (SCM x, SCM y); extern SCM scm_complex_equalp (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_truncate_number (SCM x); extern SCM scm_round_number (SCM x); extern SCM scm_floor (SCM x); extern SCM scm_ceiling (SCM x); 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_i_dbl2big (double d); #if (SCM_DEBUG_DEPRECATED == 0) extern SCM scm_dbl2big (double d); #endif extern double scm_i_big2dbl (SCM b); #if (SCM_DEBUG_DEPRECATED == 0) extern double scm_big2dbl (SCM b); #endif extern SCM scm_short2num (short n); extern SCM scm_ushort2num (unsigned short n); extern SCM scm_int2num (int n); extern SCM scm_uint2num (unsigned int n); extern SCM scm_long2num (long n); extern SCM scm_ulong2num (unsigned long n); extern SCM scm_size2num (size_t n); extern SCM scm_ptrdiff2num (ptrdiff_t n); extern short scm_num2short (SCM num, unsigned long int pos, const char *s_caller); extern unsigned short scm_num2ushort (SCM num, unsigned long int pos, const char *s_caller); extern int scm_num2int (SCM num, unsigned long int pos, const char *s_caller); extern unsigned int scm_num2uint (SCM num, unsigned long int pos, const char *s_caller); extern long scm_num2long (SCM num, unsigned long int pos, const char *s_caller); extern unsigned long scm_num2ulong (SCM num, unsigned long int pos, const char *s_caller); extern ptrdiff_t scm_num2ptrdiff (SCM num, unsigned long int pos, const char *s_caller); extern size_t scm_num2size (SCM num, unsigned long int pos, const char *s_caller); #ifdef HAVE_LONG_LONGS extern SCM scm_long_long2num (long long sl); extern SCM scm_ulong_long2num (unsigned long long sl); extern long long scm_num2long_long (SCM num, unsigned long int pos, const char *s_caller); extern unsigned long long scm_num2ulong_long (SCM num, unsigned long int pos, const char *s_caller); #endif extern float scm_num2float (SCM num, unsigned long int pos, const char *s_caller); extern SCM scm_float2num (float n); extern double scm_num2double (SCM num, unsigned long int pos, const char *s_caller); extern SCM scm_double2num (double n); extern void scm_init_numbers (void); #endif /* NUMBERSH */ /* Local Variables: c-file-style: "gnu" End: */