--- /dev/null
+/* classes: h_files */
+
+#ifndef SCM_NUMBERS_H
+#define SCM_NUMBERS_H
+
+/* Copyright (C) 1995,1996,1998,2000,2001,2002,2003,2004,2005, 2006, 2010 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ */
+
+\f
+
+#include <gmp.h>
+
+#include "libguile/__scm.h"
+#include "libguile/print.h"
+
+#if SCM_HAVE_FLOATINGPOINT_H
+# include <floatingpoint.h>
+#endif
+
+#if SCM_HAVE_IEEEFP_H
+# include <ieeefp.h>
+#endif
+
+#if SCM_HAVE_NAN_H
+# if defined (SCO)
+# define _IEEE 1
+# endif
+# include <nan.h>
+# if defined (SCO)
+# undef _IEEE
+# endif
+#endif /* SCM_HAVE_NAN_H */
+
+\f
+
+/* 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_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_signed_bits) (x)) << 2) + scm_tc2_int))
+#define SCM_I_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_I_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 <float.h>
+# 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))
+
+\f
+
+/* 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_I_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))
+
+\f
+
+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;
+
+\f
+
+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 (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_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_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_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_asinh (double x);
+SCM_API double scm_acosh (double x);
+SCM_API double scm_atanh (double 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_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_log (SCM z);
+SCM_API SCM scm_log10 (SCM z);
+SCM_API SCM scm_exp (SCM z);
+SCM_API SCM scm_sqrt (SCM z);
+
+/* 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_long2big (long n);
+SCM_API SCM scm_i_ulong2big (unsigned long n);
+SCM_API 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_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);
+
+/* general internal functions */
+SCM_API void scm_i_print_double (double val, SCM port);
+SCM_API 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_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_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
+
+/* 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);
+
+SCM_API void scm_init_numbers (void);
+
+#endif /* SCM_NUMBERS_H */
+
+/*
+ Local Variables:
+ c-file-style: "gnu"
+ End:
+*/
projects / lilypond.git / blobdiff