/* classes: h_files */ #ifndef SCM_NUMBERS_H #define SCM_NUMBERS_H /* Copyright (C) 1995,1996,1998,2000,2001,2002,2003,2004 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 2.1 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ #include "libguile/__scm.h" #include "libguile/print.h" #if SCM_HAVE_FLOATINGPOINT_H # include #endif #if SCM_HAVE_IEEEFP_H # include #endif #if SCM_HAVE_NAN_H # if defined (SCO) # define _IEEE 1 # endif # include # if defined (SCO) # undef _IEEE # endif #endif /* SCM_HAVE_NAN_H */ /* 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 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) + scm_tc2_int)) #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 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 isnan _isnan # 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 exact immediate. */ #define SCM_INTBUFLEN (5 + SCM_LONG_BIT) /* 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_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) /* 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_INUMP(x) || SCM_NUMP(x)) #define SCM_NUMP(x) (!SCM_IMP(x) \ && (((0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_number) \ || ((0xfbff & SCM_CELL_TYPE (x)) == scm_tc7_number))) /* 0xfcff (#b1100) for 0 free, 1 big, 2 real, 3 complex, then 0xfbff (#b1011) for 4 fraction */ #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)) #define SCM_FRACTION_SET_NUMERATOR(x, v) (SCM_SET_CELL_OBJECT_1 ((x), (v))) #define SCM_FRACTION_SET_DENOMINATOR(x, v) (SCM_SET_CELL_OBJECT_2 ((x), (v))) /* I think the left half word is free in the type, so I'll use bit 17 */ #define SCM_FRACTION_REDUCED_BIT 0x10000 #define SCM_FRACTION_REDUCED_SET(x) (SCM_SET_CELL_TYPE((x), (SCM_CELL_TYPE (x) | SCM_FRACTION_REDUCED_BIT))) #define SCM_FRACTION_REDUCED_CLEAR(x) (SCM_SET_CELL_TYPE((x), (SCM_CELL_TYPE (x) & ~SCM_FRACTION_REDUCED_BIT))) #define SCM_FRACTION_REDUCED(x) (0x10000 & SCM_CELL_TYPE (x)) 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; SCM_API SCM scm_exact_p (SCM x); SCM_API SCM scm_odd_p (SCM n); SCM_API SCM scm_even_p (SCM n); SCM_API SCM scm_inf_p (SCM n); SCM_API SCM scm_nan_p (SCM n); 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 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 cnt); 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_API size_t scm_iint2str (long 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_i_mem2number (const char *mem, size_t len, unsigned int radix); SCM_API SCM scm_string_to_number (SCM str, SCM radix); SCM_API SCM scm_make_real (double x); SCM_API SCM scm_make_complex (double x, double y); 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_real_p (SCM x); SCM_API SCM scm_integer_p (SCM x); SCM_API SCM scm_inexact_p (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_difference (SCM x, SCM y); SCM_API SCM scm_product (SCM x, SCM y); SCM_API double scm_num2dbl (SCM a, const char * why); 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_asinh (double x); SCM_API double scm_acosh (double x); SCM_API double scm_atanh (double x); SCM_API double scm_truncate (double x); SCM_API double scm_round (double x); SCM_API SCM scm_truncate_number (SCM x); SCM_API SCM scm_round_number (SCM x); SCM_API SCM scm_sys_expt (SCM z1, SCM z2); SCM_API SCM scm_sys_atan2 (SCM z1, SCM z2); 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_short2num (short n); SCM_API SCM scm_ushort2num (unsigned short n); SCM_API SCM scm_int2num (int n); SCM_API SCM scm_uint2num (unsigned int n); SCM_API SCM scm_long2num (long n); SCM_API SCM scm_ulong2num (unsigned long n); SCM_API SCM scm_size2num (size_t n); SCM_API SCM scm_ptrdiff2num (scm_t_ptrdiff n); SCM_API short scm_num2short (SCM num, unsigned long int pos, const char *s_caller); SCM_API unsigned short scm_num2ushort (SCM num, unsigned long int pos, const char *s_caller); SCM_API int scm_num2int (SCM num, unsigned long int pos, const char *s_caller); SCM_API unsigned int scm_num2uint (SCM num, unsigned long int pos, const char *s_caller); SCM_API long scm_num2long (SCM num, unsigned long int pos, const char *s_caller); SCM_API unsigned long scm_num2ulong (SCM num, unsigned long int pos, const char *s_caller); SCM_API scm_t_ptrdiff scm_num2ptrdiff (SCM num, unsigned long int pos, const char *s_caller); SCM_API size_t scm_num2size (SCM num, unsigned long int pos, const char *s_caller); #if SCM_SIZEOF_LONG_LONG != 0 SCM_API SCM scm_long_long2num (long long sl); SCM_API SCM scm_ulong_long2num (unsigned long long sl); SCM_API long long scm_num2long_long (SCM num, unsigned long int pos, const char *s_caller); SCM_API unsigned long long scm_num2ulong_long (SCM num, unsigned long int pos, const char *s_caller); #endif SCM_API SCM scm_float2num (float n); SCM_API SCM scm_double2num (double n); SCM_API float scm_num2float (SCM num, unsigned long int pos, const char *s_caller); SCM_API double scm_num2double (SCM num, unsigned long int pos, const char *s_caller); /* bignum internal functions */ SCM_API SCM scm_i_mkbig (void); SCM_API SCM scm_i_normbig (SCM x); SCM_API int scm_i_bigcmp (SCM a, SCM b); SCM_API SCM scm_i_dbl2big (double d); SCM_API SCM scm_i_dbl2num (double d); SCM_API double scm_i_big2dbl (SCM b); SCM_API SCM scm_i_short2big (short n); SCM_API SCM scm_i_ushort2big (unsigned short n); SCM_API SCM scm_i_int2big (int n); SCM_API SCM scm_i_uint2big (unsigned int n); SCM_API SCM scm_i_long2big (long n); SCM_API SCM scm_i_ulong2big (unsigned long n); SCM_API SCM scm_i_size2big (size_t n); SCM_API SCM scm_i_ptrdiff2big (scm_t_ptrdiff n); #if SCM_SIZEOF_LONG_LONG != 0 SCM_API SCM scm_i_long_long2big (long long n); SCM_API SCM scm_i_ulong_long2big (unsigned long long n); #endif /* ratio functions */ SCM_API SCM scm_make_ratio (SCM num, SCM den); SCM_API SCM scm_rationalize (SCM x, SCM err); SCM_API SCM scm_numerator (SCM z); SCM_API SCM scm_denominator (SCM z); SCM_API SCM scm_rational_p (SCM z); /* fraction internal functions */ SCM_API double scm_i_fraction2double (SCM z); SCM_API SCM scm_i_fraction_equalp (SCM x, SCM y); SCM_API int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate); #ifdef GUILE_DEBUG SCM_API SCM scm_sys_check_number_conversions (void); #endif SCM_API void scm_init_numbers (void); #endif /* SCM_NUMBERS_H */ /* Local Variables: c-file-style: "gnu" End: */