X-Git-Url: https://git.hcoop.net/bpt/guile.git/blobdiff_plain/14282d0f5c839816aff0e83466b6ea46e51cdac0..01a301d1b606b84d986b735049e7155d2f4cd6aa:/libguile/numbers.h?ds=inline diff --git a/libguile/numbers.h b/libguile/numbers.h dissimilarity index 88% index d12578127..b929b7a4a 100644 --- a/libguile/numbers.h +++ b/libguile/numbers.h @@ -1,343 +1,574 @@ -/* 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" - - - -/* 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_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_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); - -#ifdef HAVE_LONG_LONGS -extern SCM scm_i_long_long2big (long long n); -extern SCM scm_i_ulong_long2big (unsigned long long n); -#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_i_mem2number (const char *mem, size_t len, unsigned int 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 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_exact_to_inexact (SCM z); -extern SCM scm_inexact_to_exact (SCM z); -extern SCM scm_trunc (SCM x); -extern SCM scm_i_dbl2big (double d); -extern double scm_i_big2dbl (SCM b); - -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 SCM scm_float2num (float n); -extern SCM scm_double2num (double n); -extern float scm_num2float (SCM num, unsigned long int pos, - const char *s_caller); -extern double scm_num2double (SCM num, unsigned long int pos, - const char *s_caller); - -extern void scm_init_numbers (void); - -#endif /* SCM_NUMBERS_H */ - -/* - Local Variables: - c-file-style: "gnu" - End: -*/ +/* classes: h_files */ + +#ifndef SCM_NUMBERS_H +#define SCM_NUMBERS_H + +/* Copyright (C) 1995,1996,1998,2000,2001,2002,2003,2004,2005, 2006, + * 2008, 2009, 2010, 2011, 2013, 2014 Free Software Foundation, Inc. + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public License + * as published by the Free Software Foundation; either version 3 of + * the License, or (at your option) any later version. + * + * This library 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 + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA + * 02110-1301 USA + */ + + + +#include + +#include "libguile/__scm.h" +#include "libguile/print.h" + +#ifndef SCM_T_WCHAR_DEFINED +typedef scm_t_int32 scm_t_wchar; +#define SCM_T_WCHAR_DEFINED +#endif /* SCM_T_WCHAR_DEFINED */ + + + +/* 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 (X, Y) is signed right shift, defined as floor (X / 2^Y), + where Y must be non-negative and less than the width in bits of X. + It's common for >> to do this, but the C standards do not specify + what happens when X is negative. + + NOTE: X must not perform side effects. */ +#if (-1 >> 2 == -1) && (-4 >> 2 == -1) && (-5 >> 2 == -2) && (-8 >> 2 == -2) +# define SCM_SRS(x, y) ((x) >> (y)) +#else +# define SCM_SRS(x, y) \ + ((x) < 0 \ + ? -1 - (scm_t_signed_bits) (~(scm_t_bits)(x) >> (y)) \ + : ((x) >> (y))) +#endif + + +/* The first implementation of SCM_I_INUM below depends on behavior that + is specified by GNU C but not by C standards, namely that when + casting to a signed integer of width N, the value is reduced modulo + 2^N to be within range of the type. The second implementation below + should be portable to all conforming C implementations, but may be + less efficient if the compiler is not sufficiently clever. + + NOTE: X must not perform side effects. */ +#ifdef __GNUC__ +# define SCM_I_INUM(x) (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2)) +#else +# define SCM_I_INUM(x) \ + (SCM_UNPACK (x) > LONG_MAX \ + ? -1 - (scm_t_signed_bits) (~SCM_UNPACK (x) >> 2) \ + : (scm_t_signed_bits) (SCM_UNPACK (x) >> 2)) +#endif + +#define SCM_I_INUMP(x) (2 & SCM_UNPACK (x)) +#define SCM_I_NINUMP(x) (!SCM_I_INUMP (x)) +#define SCM_I_MAKINUM(x) \ + (SCM_PACK ((((scm_t_bits) (x)) << 2) + scm_tc2_int)) + +/* 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)) + + +#define SCM_INUM0 (SCM_I_MAKINUM (0)) /* A name for 0 */ +#define SCM_INUM1 (SCM_I_MAKINUM (1)) /* A name for 1 */ + + +/* SCM_MAXEXP is the maximum double precision exponent + * SCM_FLTMAX is less than or scm_equal the largest single precision float + */ + +#if SCM_HAVE_STDC_HEADERS +# ifndef GO32 +# include +# ifdef __MINGW32__ +# define copysign _copysign +# define finite _finite +# endif /* __MINGW32__ */ +# 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 scm_t_intmax in + * radix 2. The buffer passed to scm_iint2str and scm_iuint2str must + * be of this size, for example. + */ +#define SCM_INTBUFLEN (5 + SCM_CHAR_BIT*sizeof(scm_t_intmax)) + + + +/* Numbers + */ + + +/* Note that scm_tc16_real and scm_tc16_complex are given tc16-codes that only + * differ in one bit: This way, checking if an object is an inexact number can + * be done quickly (using the TYP16S macro). */ + +/* Number subtype 1 to 3 (note the dependency on the predicates SCM_INEXACTP + * and SCM_NUMP) */ +#define scm_tc16_big (scm_tc7_number + 1 * 256L) +#define scm_tc16_real (scm_tc7_number + 2 * 256L) +#define scm_tc16_complex (scm_tc7_number + 3 * 256L) +#define scm_tc16_fraction (scm_tc7_number + 4 * 256L) + +#define SCM_INEXACTP(x) \ + (!SCM_IMP (x) && (0xfeff & SCM_CELL_TYPE (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_REAL(x) (((scm_t_complex *) SCM2PTR (x))->real) +#define SCM_COMPLEX_IMAG(x) (((scm_t_complex *) SCM2PTR (x))->imag) + +/* Each bignum is just an mpz_t stored in a double cell starting at word 1. */ +#define SCM_I_BIG_MPZ(x) (*((mpz_t *) (SCM_CELL_OBJECT_LOC((x),1)))) +#define SCM_BIGP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_big) + +#define SCM_NUMBERP(x) (SCM_I_INUMP(x) || SCM_NUMP(x)) +#define SCM_NUMP(x) (!SCM_IMP(x) \ + && ((0x00ff & SCM_CELL_TYPE (x)) == scm_tc7_number)) + +#define SCM_FRACTIONP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_fraction) +#define SCM_FRACTION_NUMERATOR(x) (SCM_CELL_OBJECT_1 (x)) +#define SCM_FRACTION_DENOMINATOR(x) (SCM_CELL_OBJECT_2 (x)) + + + +typedef struct scm_t_double +{ + SCM type; + SCM pad; + double real; +} scm_t_double; + +typedef struct scm_t_complex +{ + SCM type; + SCM pad; + double real; + double imag; +} scm_t_complex; + + + + +SCM_API SCM scm_exact_p (SCM x); +SCM_API int scm_is_exact (SCM x); +SCM_API SCM scm_odd_p (SCM n); +SCM_API SCM scm_even_p (SCM n); +SCM_API SCM scm_finite_p (SCM x); +SCM_API SCM scm_inf_p (SCM x); +SCM_API SCM scm_nan_p (SCM x); +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 void scm_euclidean_divide (SCM x, SCM y, SCM *q, SCM *r); +SCM_API SCM scm_euclidean_quotient (SCM x, SCM y); +SCM_API SCM scm_euclidean_remainder (SCM x, SCM y); +SCM_API void scm_floor_divide (SCM x, SCM y, SCM *q, SCM *r); +SCM_API SCM scm_floor_quotient (SCM x, SCM y); +SCM_API SCM scm_floor_remainder (SCM x, SCM y); +SCM_API void scm_ceiling_divide (SCM x, SCM y, SCM *q, SCM *r); +SCM_API SCM scm_ceiling_quotient (SCM x, SCM y); +SCM_API SCM scm_ceiling_remainder (SCM x, SCM y); +SCM_API void scm_truncate_divide (SCM x, SCM y, SCM *q, SCM *r); +SCM_API SCM scm_truncate_quotient (SCM x, SCM y); +SCM_API SCM scm_truncate_remainder (SCM x, SCM y); +SCM_API void scm_centered_divide (SCM x, SCM y, SCM *q, SCM *r); +SCM_API SCM scm_centered_quotient (SCM x, SCM y); +SCM_API SCM scm_centered_remainder (SCM x, SCM y); +SCM_API void scm_round_divide (SCM x, SCM y, SCM *q, SCM *r); +SCM_API SCM scm_round_quotient (SCM x, SCM y); +SCM_API SCM scm_round_remainder (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_modulo_expt (SCM n, SCM k, SCM m); +SCM_API SCM scm_integer_expt (SCM z1, SCM z2); +SCM_API SCM scm_ash (SCM n, SCM count); +SCM_API SCM scm_round_ash (SCM n, SCM count); +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_INTERNAL SCM scm_i_euclidean_divide (SCM x, SCM y); +SCM_INTERNAL SCM scm_i_floor_divide (SCM x, SCM y); +SCM_INTERNAL SCM scm_i_ceiling_divide (SCM x, SCM y); +SCM_INTERNAL SCM scm_i_truncate_divide (SCM x, SCM y); +SCM_INTERNAL SCM scm_i_centered_divide (SCM x, SCM y); +SCM_INTERNAL SCM scm_i_round_divide (SCM x, SCM y); + +SCM_INTERNAL SCM scm_i_gcd (SCM x, SCM y, SCM rest); +SCM_INTERNAL SCM scm_i_lcm (SCM x, SCM y, SCM rest); +SCM_INTERNAL SCM scm_i_logand (SCM x, SCM y, SCM rest); +SCM_INTERNAL SCM scm_i_logior (SCM x, SCM y, SCM rest); +SCM_INTERNAL SCM scm_i_logxor (SCM x, SCM y, SCM rest); + +SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p); +SCM_API size_t scm_iuint2str (scm_t_uintmax 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_c_locale_stringn_to_number (const char *mem, size_t len, + unsigned int radix); +SCM_INTERNAL SCM scm_i_string_to_number (SCM str, unsigned int radix); +SCM_API SCM scm_string_to_number (SCM str, SCM radix); +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_complex_p (SCM x); +SCM_API SCM scm_real_p (SCM x); +SCM_API SCM scm_rational_p (SCM z); +SCM_API SCM scm_integer_p (SCM x); +SCM_API SCM scm_exact_integer_p (SCM x); +SCM_API SCM scm_inexact_p (SCM x); +SCM_API int scm_is_inexact (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_oneplus (SCM x); +SCM_API SCM scm_difference (SCM x, SCM y); +SCM_API SCM scm_oneminus (SCM x); +SCM_API SCM scm_product (SCM x, SCM y); +SCM_API SCM scm_divide (SCM x, SCM y); +SCM_API SCM scm_floor (SCM x); +SCM_API SCM scm_ceiling (SCM x); +SCM_API double scm_c_truncate (double x); +SCM_API double scm_c_round (double x); +SCM_API SCM scm_truncate_number (SCM x); +SCM_API SCM scm_round_number (SCM x); +SCM_API SCM scm_expt (SCM z1, SCM z2); +SCM_API SCM scm_sin (SCM z); +SCM_API SCM scm_cos (SCM z); +SCM_API SCM scm_tan (SCM z); +SCM_API SCM scm_sinh (SCM z); +SCM_API SCM scm_cosh (SCM z); +SCM_API SCM scm_tanh (SCM z); +SCM_API SCM scm_asin (SCM z); +SCM_API SCM scm_acos (SCM z); +SCM_API SCM scm_atan (SCM x, SCM y); +SCM_API SCM scm_sys_asinh (SCM z); +SCM_API SCM scm_sys_acosh (SCM z); +SCM_API SCM scm_sys_atanh (SCM z); +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_log (SCM z); +SCM_API SCM scm_log10 (SCM z); +SCM_API SCM scm_exp (SCM z); +SCM_API SCM scm_sqrt (SCM z); +SCM_API void scm_exact_integer_sqrt (SCM k, SCM *s, SCM *r); + +SCM_INTERNAL SCM scm_i_min (SCM x, SCM y, SCM rest); +SCM_INTERNAL SCM scm_i_max (SCM x, SCM y, SCM rest); +SCM_INTERNAL SCM scm_i_sum (SCM x, SCM y, SCM rest); +SCM_INTERNAL SCM scm_i_difference (SCM x, SCM y, SCM rest); +SCM_INTERNAL SCM scm_i_product (SCM x, SCM y, SCM rest); +SCM_INTERNAL SCM scm_i_divide (SCM x, SCM y, SCM rest); +SCM_INTERNAL SCM scm_i_exact_integer_sqrt (SCM k); + +/* bignum internal functions */ +SCM_INTERNAL SCM scm_i_mkbig (void); +SCM_API /* FIXME: not internal */ SCM scm_i_normbig (SCM x); +SCM_INTERNAL int scm_i_bigcmp (SCM a, SCM b); +SCM_INTERNAL SCM scm_i_dbl2big (double d); +SCM_INTERNAL SCM scm_i_dbl2num (double d); +SCM_API /* FIXME: not internal */ double scm_i_big2dbl (SCM b); +SCM_API /* FIXME: not internal */ SCM scm_i_long2big (long n); +SCM_API /* FIXME: not internal */ SCM scm_i_ulong2big (unsigned long n); +SCM_API /* FIXME: not internal */ SCM scm_i_clonebig (SCM src_big, int same_sign_p); + +/* ratio functions */ +SCM_API SCM scm_rationalize (SCM x, SCM err); +SCM_API SCM scm_numerator (SCM z); +SCM_API SCM scm_denominator (SCM z); + +/* fraction internal functions */ +SCM_INTERNAL double scm_i_fraction2double (SCM z); +SCM_INTERNAL SCM scm_i_fraction_equalp (SCM x, SCM y); +SCM_INTERNAL int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate); + +/* general internal functions */ +SCM_INTERNAL void scm_i_print_double (double val, SCM port); +SCM_INTERNAL void scm_i_print_complex (double real, double imag, SCM port); + +/* conversion functions for integers */ + +SCM_API int scm_is_integer (SCM val); +SCM_API int scm_is_exact_integer (SCM val); +SCM_API int scm_is_signed_integer (SCM val, + scm_t_intmax min, scm_t_intmax max); +SCM_API int scm_is_unsigned_integer (SCM val, + scm_t_uintmax min, scm_t_uintmax max); + +SCM_API SCM scm_from_signed_integer (scm_t_intmax val); +SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val); + +SCM_API scm_t_intmax scm_to_signed_integer (SCM val, + scm_t_intmax min, + scm_t_intmax max); +SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val, + scm_t_uintmax min, + scm_t_uintmax max); + +SCM_API scm_t_int8 scm_to_int8 (SCM x); +SCM_API SCM scm_from_int8 (scm_t_int8 x); + +SCM_API scm_t_uint8 scm_to_uint8 (SCM x); +SCM_API SCM scm_from_uint8 (scm_t_uint8 x); + +SCM_API scm_t_int16 scm_to_int16 (SCM x); +SCM_API SCM scm_from_int16 (scm_t_int16 x); + +SCM_API scm_t_uint16 scm_to_uint16 (SCM x); +SCM_API SCM scm_from_uint16 (scm_t_uint16 x); + +SCM_API scm_t_int32 scm_to_int32 (SCM x); +SCM_API SCM scm_from_int32 (scm_t_int32 x); + +SCM_API scm_t_uint32 scm_to_uint32 (SCM x); +SCM_API SCM scm_from_uint32 (scm_t_uint32 x); + +SCM_API scm_t_wchar scm_to_wchar (SCM x); +SCM_API SCM scm_from_wchar (scm_t_wchar x); + +SCM_API scm_t_int64 scm_to_int64 (SCM x); +SCM_API SCM scm_from_int64 (scm_t_int64 x); + +SCM_API scm_t_uint64 scm_to_uint64 (SCM x); +SCM_API SCM scm_from_uint64 (scm_t_uint64 x); + +SCM_API void scm_to_mpz (SCM x, mpz_t rop); +SCM_API SCM scm_from_mpz (mpz_t rop); + + +/* The conversion functions for other types are aliased to the + appropriate ones from above. We pick the right one based on the + size of the type. + + Not each and every possibility is covered by the code below, and + while it is trivial to complete the tests, it might be better to + just test for the 'sane' possibilities. When one of the tests + below fails, chances are good that some silent assumption somewhere + else will also fail. +*/ + +#if SCM_SIZEOF_CHAR == 1 +#define scm_to_schar scm_to_int8 +#define scm_from_schar scm_from_int8 +#define scm_to_uchar scm_to_uint8 +#define scm_from_uchar scm_from_uint8 +#if CHAR_MIN == 0 +#define scm_to_char scm_to_uint8 +#define scm_from_char scm_from_uint8 +#else +#define scm_to_char scm_to_int8 +#define scm_from_char scm_from_int8 +#endif +#else +#error sizeof(char) is not 1. +#endif + +#if SCM_SIZEOF_SHORT == 1 +#define scm_to_short scm_to_int8 +#define scm_from_short scm_from_int8 +#define scm_to_ushort scm_to_uint8 +#define scm_from_ushort scm_from_uint8 +#else +#if SCM_SIZEOF_SHORT == 2 +#define scm_to_short scm_to_int16 +#define scm_from_short scm_from_int16 +#define scm_to_ushort scm_to_uint16 +#define scm_from_ushort scm_from_uint16 +#else +#if SCM_SIZEOF_SHORT == 4 +#define scm_to_short scm_to_int32 +#define scm_from_short scm_from_int32 +#define scm_to_ushort scm_to_uint32 +#define scm_from_ushort scm_from_uint32 +#else +#error sizeof(short) is not 1, 2, or 4. +#endif +#endif +#endif + +#if SCM_SIZEOF_INT == 4 +#define scm_to_int scm_to_int32 +#define scm_from_int scm_from_int32 +#define scm_to_uint scm_to_uint32 +#define scm_from_uint scm_from_uint32 +#else +#if SCM_SIZEOF_INT == 8 +#define scm_to_int scm_to_int64 +#define scm_from_int scm_from_int64 +#define scm_to_uint scm_to_uint64 +#define scm_from_uint scm_from_uint64 +#else +#error sizeof(int) is not 4 or 8. +#endif +#endif + +#if SCM_SIZEOF_LONG == 4 +#define scm_to_long scm_to_int32 +#define scm_from_long scm_from_int32 +#define scm_to_ulong scm_to_uint32 +#define scm_from_ulong scm_from_uint32 +#else +#if SCM_SIZEOF_LONG == 8 +#define scm_to_long scm_to_int64 +#define scm_from_long scm_from_int64 +#define scm_to_ulong scm_to_uint64 +#define scm_from_ulong scm_from_uint64 +#else +#error sizeof(long) is not 4 or 8. +#endif +#endif + +#if SCM_SIZEOF_INTMAX == 4 +#define scm_to_intmax scm_to_int32 +#define scm_from_intmax scm_from_int32 +#define scm_to_uintmax scm_to_uint32 +#define scm_from_uintmax scm_from_uint32 +#else +#if SCM_SIZEOF_INTMAX == 8 +#define scm_to_intmax scm_to_int64 +#define scm_from_intmax scm_from_int64 +#define scm_to_uintmax scm_to_uint64 +#define scm_from_uintmax scm_from_uint64 +#else +#error sizeof(scm_t_intmax) is not 4 or 8. +#endif +#endif + +#if SCM_SIZEOF_LONG_LONG == 0 +#else +#if SCM_SIZEOF_LONG_LONG == 8 +#define scm_to_long_long scm_to_int64 +#define scm_from_long_long scm_from_int64 +#define scm_to_ulong_long scm_to_uint64 +#define scm_from_ulong_long scm_from_uint64 +#else +#error sizeof(long long) is not 8. +#endif +#endif + +#if SCM_SIZEOF_SIZE_T == 4 +#define scm_to_ssize_t scm_to_int32 +#define scm_from_ssize_t scm_from_int32 +#define scm_to_size_t scm_to_uint32 +#define scm_from_size_t scm_from_uint32 +#else +#if SCM_SIZEOF_SIZE_T == 8 +#define scm_to_ssize_t scm_to_int64 +#define scm_from_ssize_t scm_from_int64 +#define scm_to_size_t scm_to_uint64 +#define scm_from_size_t scm_from_uint64 +#else +#error sizeof(size_t) is not 4 or 8. +#endif +#endif + +#if SCM_SIZEOF_SCM_T_PTRDIFF == 4 +#define scm_to_ptrdiff_t scm_to_int32 +#define scm_from_ptrdiff_t scm_from_int32 +#else +#if SCM_SIZEOF_SCM_T_PTRDIFF == 8 +#define scm_to_ptrdiff_t scm_to_int64 +#define scm_from_ptrdiff_t scm_from_int64 +#else +#error sizeof(scm_t_ptrdiff) is not 4 or 8. +#endif +#endif + +/* conversion functions for double */ + +SCM_API int scm_is_real (SCM val); +SCM_API int scm_is_rational (SCM val); +SCM_API double scm_to_double (SCM val); +SCM_API SCM scm_from_double (double val); + +/* conversion functions for complex */ + +SCM_API int scm_is_complex (SCM val); +SCM_API SCM scm_c_make_rectangular (double re, double im); +SCM_API SCM scm_c_make_polar (double mag, double ang); +SCM_API double scm_c_real_part (SCM z); +SCM_API double scm_c_imag_part (SCM z); +SCM_API double scm_c_magnitude (SCM z); +SCM_API double scm_c_angle (SCM z); + +SCM_API int scm_is_number (SCM val); + +/* If nonzero, tell gmp to use GC_malloc for its allocations. */ +SCM_API int scm_install_gmp_memory_functions; + +SCM_INTERNAL void scm_init_numbers (void); + +#endif /* SCM_NUMBERS_H */ + +/* + Local Variables: + c-file-style: "gnu" + End: +*/