-/* Copyright (C) 1995,1996,1997,1998 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. */
-\f
-
-#include <stdio.h>
-#include <math.h>
-#include "_scm.h"
-#include "genio.h"
-#include "unif.h"
-#include "feature.h"
-#include "smob.h"
-
-#include "numbers.h"
-\f
-#define DIGITS '0':case '1':case '2':case '3':case '4':\
- case '5':case '6':case '7':case '8':case '9'
-
-
-/* IS_INF tests its floating point number for infiniteness
- */
-#ifndef IS_INF
-#define IS_INF(x) ((x) == (x) / 2)
-#endif
-
-/* Return true if X is not infinite and is not a NaN
- */
-#ifndef isfinite
-#define isfinite(x) (!IS_INF (x) && (x) == (x))
-#endif
-
-/* MAXEXP is the maximum double precision expontent
- * FLTMAX is less than or scm_equal the largest single precision float
- */
-
-#ifdef SCM_FLOATS
-#ifdef STDC_HEADERS
-#ifndef GO32
-#include <float.h>
-#endif /* ndef GO32 */
-#endif /* def STDC_HEADERS */
-#ifdef DBL_MAX_10_EXP
-#define MAXEXP DBL_MAX_10_EXP
-#else
-#define MAXEXP 308 /* IEEE doubles */
-#endif /* def DBL_MAX_10_EXP */
-#ifdef FLT_MAX
-#define FLTMAX FLT_MAX
-#else
-#define FLTMAX 1e+23
-#endif /* def FLT_MAX */
-#endif /* def SCM_FLOATS */
-\f
-
-
-SCM_PROC (s_exact_p, "exact?", 1, 0, 0, scm_exact_p);
-
-SCM
-scm_exact_p (x)
- SCM x;
-{
- if (SCM_INUMP (x))
- return SCM_BOOL_T;
-#ifdef SCM_BIGDIG
- if (SCM_NIMP (x) && SCM_BIGP (x))
- return SCM_BOOL_T;
-#endif
- return SCM_BOOL_F;
-}
-
-SCM_PROC (s_odd_p, "odd?", 1, 0, 0, scm_odd_p);
-
-SCM
-scm_odd_p (n)
- SCM n;
-{
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (n))
- {
- SCM_ASSERT (SCM_NIMP (n) && SCM_BIGP (n), n, SCM_ARG1, s_odd_p);
- return (1 & SCM_BDIGITS (n)[0]) ? SCM_BOOL_T : SCM_BOOL_F;
- }
-#else
- SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_odd_p);
-#endif
- return (4 & (int) n) ? SCM_BOOL_T : SCM_BOOL_F;
-}
-
-SCM_PROC (s_even_p, "even?", 1, 0, 0, scm_even_p);
-
-SCM
-scm_even_p (n)
- SCM n;
-{
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (n))
- {
- SCM_ASSERT (SCM_NIMP (n) && SCM_BIGP (n), n, SCM_ARG1, s_even_p);
- return (1 & SCM_BDIGITS (n)[0]) ? SCM_BOOL_F : SCM_BOOL_T;
- }
-#else
- SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_even_p);
-#endif
- return (4 & (int) n) ? SCM_BOOL_F : SCM_BOOL_T;
-}
-
-SCM_PROC (s_abs, "abs", 1, 0, 0, scm_abs);
-
-SCM
-scm_abs (x)
- SCM x;
-{
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_abs);
- if (SCM_TYP16 (x) == scm_tc16_bigpos)
- return x;
- return scm_copybig (x, 0);
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_abs);
-#endif
- if (SCM_INUM (x) >= 0)
- return x;
- x = - SCM_INUM (x);
- if (!SCM_POSFIXABLE (x))
-#ifdef SCM_BIGDIG
- return scm_long2big (x);
-#else
- scm_num_overflow (s_abs);
-#endif
- return SCM_MAKINUM (x);
-}
-
-SCM_PROC (s_quotient, "quotient", 2, 0, 0, scm_quotient);
-
-SCM
-scm_quotient (x, y)
- SCM x;
- SCM y;
-{
- register long z;
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- long w;
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_quotient);
- if (SCM_NINUMP (y))
- {
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2);
- }
- z = SCM_INUM (y);
- SCM_ASRTGO (z, ov);
- if (1 == z)
- return x;
- if (z < 0)
- z = -z;
- if (z < SCM_BIGRAD)
- {
- w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0));
- scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), (SCM_BIGDIG) z);
- return scm_normbig (w);
- }
-#ifndef SCM_DIGSTOOBIG
- w = scm_pseudolong (z);
- return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- (SCM_BIGDIG *) & w, SCM_DIGSPERLONG,
- SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2);
-#else
- {
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (z, zdigs);
- return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- zdigs, SCM_DIGSPERLONG,
- SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2);
- }
-#endif
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_quotient);
- }
-#endif
- return SCM_INUM0;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_quotient);
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_quotient);
-#endif
- if ((z = SCM_INUM (y)) == 0)
- {
- ov:
- scm_num_overflow (s_quotient);
- }
- z = SCM_INUM (x) / z;
-#ifdef BADIVSGNS
- {
-#if (__TURBOC__ == 1)
- long t = ((y < 0) ? -SCM_INUM (x) : SCM_INUM (x)) % SCM_INUM (y);
-#else
- long t = SCM_INUM (x) % SCM_INUM (y);
-#endif
- if (t == 0);
- else if (t < 0)
- if (x < 0);
- else
- z--;
- else if (x < 0)
- z++;
- }
-#endif
- if (!SCM_FIXABLE (z))
-#ifdef SCM_BIGDIG
- return scm_long2big (z);
-#else
- scm_num_overflow (s_quotient);
-#endif
- return SCM_MAKINUM (z);
-}
-
-SCM_PROC (s_remainder, "remainder", 2, 0, 0, scm_remainder);
-
-SCM
-scm_remainder (x, y)
- SCM x;
- SCM y;
-{
- register long z;
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_remainder);
- if (SCM_NINUMP (y))
- {
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (x), 0);
- }
- if (!(z = SCM_INUM (y)))
- goto ov;
- return scm_divbigint (x, z, SCM_BIGSIGN (x), 0);
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_remainder);
- }
-#endif
- return x;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_remainder);
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_remainder);
-#endif
- if (!(z = SCM_INUM (y)))
- {
- ov:
- scm_num_overflow (s_remainder);
- }
-#if (__TURBOC__ == 1)
- if (z < 0)
- z = -z;
-#endif
- z = SCM_INUM (x) % z;
-#ifdef BADIVSGNS
- if (!z);
- else if (z < 0)
- if (x < 0);
- else
- z += SCM_INUM (y);
- else if (x < 0)
- z -= SCM_INUM (y);
-#endif
- return SCM_MAKINUM (z);
-}
-
-SCM_PROC (s_modulo, "modulo", 2, 0, 0, scm_modulo);
-
-SCM
-scm_modulo (x, y)
- SCM x;
- SCM y;
-{
- register long yy, z;
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_modulo);
- if (SCM_NINUMP (y))
- {
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (y),
- (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0);
- }
- if (!(z = SCM_INUM (y)))
- goto ov;
- return scm_divbigint (x, z, y < 0,
- (SCM_BIGSIGN (x) ? (y > 0) : (y < 0)) ? 1 : 0);
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_modulo);
- }
-#endif
- return (SCM_BIGSIGN (y) ? (x > 0) : (x < 0)) ? scm_sum (x, y) : x;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_modulo);
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_modulo);
-#endif
- if (!(yy = SCM_INUM (y)))
- {
- ov:
- scm_num_overflow (s_modulo);
- }
-#if (__TURBOC__==1)
- z = SCM_INUM (x);
- z = ((yy < 0) ? -z : z) % yy;
-#else
- z = SCM_INUM (x) % yy;
-#endif
- return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z);
-}
-
-SCM_PROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd);
-
-SCM
-scm_gcd (x, y)
- SCM x;
- SCM y;
-{
- register long u, v, k, t;
- if (SCM_UNBNDP (y))
- return SCM_UNBNDP (x) ? SCM_INUM0 : x;
- tailrec:
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- big_gcd:
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_gcd);
- if (SCM_BIGSIGN (x))
- x = scm_copybig (x, 0);
- newy:
- if (SCM_NINUMP (y))
- {
- SCM_ASSERT (SCM_NIMP (y) && SCM_BIGP (y), y, SCM_ARG2, s_gcd);
- if (SCM_BIGSIGN (y))
- y = scm_copybig (y, 0);
- switch (scm_bigcomp (x, y))
- {
- case -1:
- swaprec:
- t = scm_remainder (x, y);
- x = y;
- y = t;
- goto tailrec;
- case 0:
- return x;
- case 1:
- y = scm_remainder (y, x);
- goto newy;
- }
- /* instead of the switch, we could just
- return scm_gcd (y, scm_modulo (x, y)); */
- }
- if (SCM_INUM0 == y)
- return x;
- goto swaprec;
- }
- if (SCM_NINUMP (y))
- {
- t = x;
- x = y;
- y = t;
- goto big_gcd;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_gcd);
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_gcd);
-#endif
- u = SCM_INUM (x);
- if (u < 0)
- u = -u;
- v = SCM_INUM (y);
- if (v < 0)
- v = -v;
- else if (0 == v)
- goto getout;
- if (0 == u)
- {
- u = v;
- goto getout;
- }
- for (k = 1; !(1 & ((int) u | (int) v)); k <<= 1, u >>= 1, v >>= 1);
- if (1 & (int) u)
- t = -v;
- else
- {
- t = u;
- b3:
- t = SCM_SRS (t, 1);
- }
- if (!(1 & (int) t))
- goto b3;
- if (t > 0)
- u = t;
- else
- v = -t;
- if ((t = u - v))
- goto b3;
- u = u * k;
- getout:
- if (!SCM_POSFIXABLE (u))
-#ifdef SCM_BIGDIG
- return scm_long2big (u);
-#else
- scm_num_overflow (s_gcd);
-#endif
- return SCM_MAKINUM (u);
-}
-
-SCM_PROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm);
-
-SCM
-scm_lcm (n1, n2)
- SCM n1;
- SCM n2;
-{
- SCM d;
- if (SCM_UNBNDP (n2))
- {
- n2 = SCM_MAKINUM (1L);
- if (SCM_UNBNDP (n1))
- return n2;
- }
- d = scm_gcd (n1, n2);
- if (SCM_INUM0 == d)
- return d;
- return scm_abs (scm_product (n1, scm_quotient (n2, d)));
-}
-
-#ifndef SCM_BIGDIG
-#ifndef SCM_FLOATS
-#define scm_long2num SCM_MAKINUM
-#endif
-#endif
-
-#ifndef scm_long2num
-SCM_PROC1 (s_logand, "logand", scm_tc7_asubr, scm_logand);
-
-SCM
-scm_logand (n1, n2)
- SCM n1;
- SCM n2;
-{
- if (SCM_UNBNDP (n2))
- {
- if (SCM_UNBNDP (n1))
- return SCM_MAKINUM (-1);
- return n1;
- }
- return scm_ulong2num (scm_num2ulong (n1, (char *) SCM_ARG1, s_logand)
- & scm_num2ulong (n2, (char *) SCM_ARG2, s_logand));
-}
-
-SCM_PROC1 (s_logior, "logior", scm_tc7_asubr, scm_logior);
-
-SCM
-scm_logior (n1, n2)
- SCM n1;
- SCM n2;
-{
- if (SCM_UNBNDP (n2))
- {
- if (SCM_UNBNDP (n1))
- return SCM_INUM0;
- return n1;
- }
- return scm_ulong2num (scm_num2ulong (n1, (char *) SCM_ARG1, s_logior)
- | scm_num2ulong (n2, (char *) SCM_ARG2, s_logior));
-}
-
-SCM_PROC1 (s_logxor, "logxor", scm_tc7_asubr, scm_logxor);
-
-SCM
-scm_logxor (n1, n2)
- SCM n1;
- SCM n2;
-{
- if (SCM_UNBNDP (n2))
- {
- if (SCM_UNBNDP (n1))
- return SCM_INUM0;
- return n1;
- }
- return scm_ulong2num (scm_num2ulong (n1, (char *) SCM_ARG1, s_logxor)
- ^ scm_num2ulong (n2, (char *) SCM_ARG2, s_logxor));
-}
-
-SCM_PROC (s_logtest, "logtest", 2, 0, 0, scm_logtest);
-
-SCM
-scm_logtest (n1, n2)
- SCM n1;
- SCM n2;
-{
- return ((scm_num2ulong (n1, (char *) SCM_ARG1, s_logtest)
- & scm_num2ulong (n2, (char *) SCM_ARG2, s_logtest))
- ? SCM_BOOL_T : SCM_BOOL_F);
-}
-
-
-SCM_PROC (s_logbit_p, "logbit?", 2, 0, 0, scm_logbit_p);
-
-SCM
-scm_logbit_p (n1, n2)
- SCM n1;
- SCM n2;
-{
- return (((1 << scm_num2long (n1, (char *) SCM_ARG1, s_logtest))
- & scm_num2ulong (n2, (char *) SCM_ARG2, s_logtest))
- ? SCM_BOOL_T : SCM_BOOL_F);
-}
-
-#else
-
-SCM_PROC1 (s_logand, "logand", scm_tc7_asubr, scm_logand);
-
-SCM
-scm_logand (n1, n2)
- SCM n1;
- SCM n2;
-{
- if (SCM_UNBNDP (n2))
- {
- if (SCM_UNBNDP (n1))
- return SCM_MAKINUM (-1);
- return n1;
- }
- return SCM_MAKINUM (SCM_INUM (n1) & SCM_INUM (n2));
-}
-
-SCM_PROC1 (s_logior, "logior", scm_tc7_asubr, scm_logior);
-
-SCM
-scm_logior (n1, n2)
- SCM n1;
- SCM n2;
-{
- if (SCM_UNBNDP (n2))
- {
- if (SCM_UNBNDP (n1))
- return SCM_INUM0;
- return n1;
- }
- return SCM_MAKINUM (SCM_INUM (n1) | SCM_INUM (n2));
-}
-
-SCM_PROC1 (s_logxor, "logxor", scm_tc7_asubr, scm_logxor);
-
-SCM
-scm_logxor (n1, n2)
- SCM n1;
- SCM n2;
-{
- if (SCM_UNBNDP (n2))
- {
- if (SCM_UNBNDP (n1))
- return SCM_INUM0;
- return n1;
- }
- return SCM_MAKINUM (SCM_INUM (n1) ^ SCM_INUM (n2));
-}
-
-SCM_PROC (s_logtest, "logtest", 2, 0, 0, scm_logtest);
-
-SCM
-scm_logtest (n1, n2)
- SCM n1;
- SCM n2;
-{
- SCM_ASSERT (SCM_INUMP (n1), n1, SCM_ARG1, s_logtest);
- SCM_ASSERT (SCM_INUMP (n2), n2, SCM_ARG2, s_logtest);
- return (SCM_INUM (n1) & SCM_INUM (n2)) ? SCM_BOOL_T : SCM_BOOL_F;
-}
-
-SCM_PROC (s_logbit_p, "logbit?", 2, 0, 0, scm_logbit_p);
-
-SCM
-scm_logbit_p (n1, n2)
- SCM n1;
- SCM n2;
-{
- SCM_ASSERT (SCM_INUMP (n1) && SCM_INUM (n1) >= 0, n1, SCM_ARG1, s_logbit_p);
- SCM_ASSERT (SCM_INUMP (n2), n2, SCM_ARG2, s_logbit_p);
- return ((1 << SCM_INUM (n1)) & SCM_INUM (n2)) ? SCM_BOOL_T : SCM_BOOL_F;
-}
-#endif
-
-SCM_PROC (s_lognot, "lognot", 1, 0, 0, scm_lognot);
-
-SCM
-scm_lognot (n)
- SCM n;
-{
- SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_lognot);
- return scm_difference (SCM_MAKINUM (-1L), n);
-}
-
-SCM_PROC (s_integer_expt, "integer-expt", 2, 0, 0, scm_integer_expt);
-
-SCM
-scm_integer_expt (z1, z2)
- SCM z1;
- SCM z2;
-{
- SCM acc = SCM_MAKINUM (1L);
-#ifdef SCM_BIGDIG
- if (SCM_INUM0 == z1 || acc == z1)
- return z1;
- else if (SCM_MAKINUM (-1L) == z1)
- return SCM_BOOL_F == scm_even_p (z2) ? z1 : acc;
-#endif
- SCM_ASSERT (SCM_INUMP (z2), z2, SCM_ARG2, s_integer_expt);
- z2 = SCM_INUM (z2);
- if (z2 < 0)
- {
- z2 = -z2;
- z1 = scm_divide (z1, SCM_UNDEFINED);
- }
- while (1)
- {
- if (0 == z2)
- return acc;
- if (1 == z2)
- return scm_product (acc, z1);
- if (z2 & 1)
- acc = scm_product (acc, z1);
- z1 = scm_product (z1, z1);
- z2 >>= 1;
- }
-}
-
-SCM_PROC (s_ash, "ash", 2, 0, 0, scm_ash);
-
-SCM
-scm_ash (n, cnt)
- SCM n;
- SCM cnt;
-{
- SCM res = SCM_INUM (n);
- SCM_ASSERT (SCM_INUMP (cnt), cnt, SCM_ARG2, s_ash);
-#ifdef SCM_BIGDIG
- if (cnt < 0)
- {
- res = scm_integer_expt (SCM_MAKINUM (2), SCM_MAKINUM (-SCM_INUM (cnt)));
- if (SCM_NFALSEP (scm_negative_p (n)))
- return scm_sum (SCM_MAKINUM (-1L),
- scm_quotient (scm_sum (SCM_MAKINUM (1L), n), res));
- else
- return scm_quotient (n, res);
- }
- else
- return scm_product (n, scm_integer_expt (SCM_MAKINUM (2), cnt));
-#else
- SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_ash);
- cnt = SCM_INUM (cnt);
- if (cnt < 0)
- return SCM_MAKINUM (SCM_SRS (res, -cnt));
- res = SCM_MAKINUM (res << cnt);
- if (SCM_INUM (res) >> cnt != SCM_INUM (n))
- scm_num_overflow (s_ash);
- return res;
-#endif
-}
-
-SCM_PROC (s_bit_extract, "bit-extract", 3, 0, 0, scm_bit_extract);
-
-SCM
-scm_bit_extract (n, start, end)
- SCM n;
- SCM start;
- SCM end;
-{
- SCM_ASSERT (SCM_INUMP (start), start, SCM_ARG2, s_bit_extract);
- SCM_ASSERT (SCM_INUMP (end), end, SCM_ARG3, s_bit_extract);
- start = SCM_INUM (start);
- end = SCM_INUM (end);
- SCM_ASSERT (end >= start, SCM_MAKINUM (end), SCM_OUTOFRANGE, s_bit_extract);
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (n))
- return
- scm_logand (scm_difference (scm_integer_expt (SCM_MAKINUM (2),
- SCM_MAKINUM (end - start)),
- SCM_MAKINUM (1L)),
- scm_ash (n, SCM_MAKINUM (-start)));
-#else
- SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_bit_extract);
-#endif
- return SCM_MAKINUM ((SCM_INUM (n) >> start) & ((1L << (end - start)) - 1));
-}
-
-static const char scm_logtab[] = {
- 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4
-};
-SCM_PROC (s_logcount, "logcount", 1, 0, 0, scm_logcount);
-
-SCM
-scm_logcount (n)
- SCM n;
-{
- register unsigned long c = 0;
- register long nn;
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (n))
- {
- scm_sizet i;
- SCM_BIGDIG *ds, d;
- SCM_ASSERT (SCM_NIMP (n) && SCM_BIGP (n), n, SCM_ARG1, s_logcount);
- if (SCM_BIGSIGN (n))
- return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n));
- ds = SCM_BDIGITS (n);
- for (i = SCM_NUMDIGS (n); i--;)
- for (d = ds[i]; d; d >>= 4)
- c += scm_logtab[15 & d];
- return SCM_MAKINUM (c);
- }
-#else
- SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_logcount);
-#endif
- if ((nn = SCM_INUM (n)) < 0)
- nn = -1 - nn;
- for (; nn; nn >>= 4)
- c += scm_logtab[15 & nn];
- return SCM_MAKINUM (c);
-}
-
-static const char scm_ilentab[] = {
- 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4
-};
-SCM_PROC (s_integer_length, "integer-length", 1, 0, 0, scm_integer_length);
-
-SCM
-scm_integer_length (n)
- SCM n;
-{
- register unsigned long c = 0;
- register long nn;
- unsigned int l = 4;
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (n))
- {
- SCM_BIGDIG *ds, d;
- SCM_ASSERT (SCM_NIMP (n) && SCM_BIGP (n), n, SCM_ARG1, s_integer_length);
- if (SCM_BIGSIGN (n))
- return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n));
- ds = SCM_BDIGITS (n);
- d = ds[c = SCM_NUMDIGS (n) - 1];
- for (c *= SCM_BITSPERDIG; d; d >>= 4)
- {
- c += 4;
- l = scm_ilentab[15 & d];
- }
- return SCM_MAKINUM (c - 4 + l);
- }
-#else
- SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_integer_length);
-#endif
- if ((nn = SCM_INUM (n)) < 0)
- nn = -1 - nn;
- for (; nn; nn >>= 4)
- {
- c += 4;
- l = scm_ilentab[15 & nn];
- }
- return SCM_MAKINUM (c - 4 + l);
-}
-
-
-#ifdef SCM_BIGDIG
-static const char s_bignum[] = "bignum";
-
-SCM
-scm_mkbig (nlen, sign)
- scm_sizet nlen;
- int sign;
-{
- SCM v = nlen;
- /* Cast to SCM to avoid signed/unsigned comparison warnings. */
- if (((v << 16) >> 16) != (SCM) nlen)
- scm_wta (SCM_MAKINUM (nlen), (char *) SCM_NALLOC, s_bignum);
- SCM_NEWCELL (v);
- SCM_DEFER_INTS;
- SCM_SETCHARS (v, scm_must_malloc ((long) (nlen * sizeof (SCM_BIGDIG)),
- s_bignum));
- SCM_SETNUMDIGS (v, nlen, sign ? scm_tc16_bigneg : scm_tc16_bigpos);
- SCM_ALLOW_INTS;
- return v;
-}
-
-
-SCM
-scm_big2inum (b, l)
- SCM b;
- scm_sizet l;
-{
- unsigned long num = 0;
- SCM_BIGDIG *tmp = SCM_BDIGITS (b);
- while (l--)
- num = SCM_BIGUP (num) + tmp[l];
- if (SCM_TYP16 (b) == scm_tc16_bigpos)
- {
- if (SCM_POSFIXABLE (num))
- return SCM_MAKINUM (num);
- }
- else if (SCM_UNEGFIXABLE (num))
- return SCM_MAKINUM (-num);
- return b;
-}
-
-
-static const char s_adjbig[] = "scm_adjbig";
-
-SCM
-scm_adjbig (b, nlen)
- SCM b;
- scm_sizet nlen;
-{
- scm_sizet nsiz = nlen;
- if (((nsiz << 16) >> 16) != nlen)
- scm_wta (scm_ulong2num (nsiz), (char *) SCM_NALLOC, s_adjbig);
-
- SCM_DEFER_INTS;
- {
- SCM_BIGDIG *digits
- = ((SCM_BIGDIG *)
- scm_must_realloc ((char *) SCM_CHARS (b),
- (long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)),
- (long) (nsiz * sizeof (SCM_BIGDIG)), s_adjbig));
-
- SCM_SETCHARS (b, digits);
- SCM_SETNUMDIGS (b, nsiz, SCM_TYP16 (b));
- }
- SCM_ALLOW_INTS;
- return b;
-}
-
-
-
-SCM
-scm_normbig (b)
- SCM b;
-{
-#ifndef _UNICOS
- scm_sizet nlen = SCM_NUMDIGS (b);
-#else
- int nlen = SCM_NUMDIGS (b); /* unsigned nlen breaks on Cray when nlen => 0 */
-#endif
- SCM_BIGDIG *zds = SCM_BDIGITS (b);
- while (nlen-- && !zds[nlen]);
- nlen++;
- if (nlen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM))
- if (SCM_INUMP (b = scm_big2inum (b, (scm_sizet) nlen)))
- return b;
- if (SCM_NUMDIGS (b) == nlen)
- return b;
- return scm_adjbig (b, (scm_sizet) nlen);
-}
-
-
-
-SCM
-scm_copybig (b, sign)
- SCM b;
- int sign;
-{
- scm_sizet i = SCM_NUMDIGS (b);
- SCM ans = scm_mkbig (i, sign);
- SCM_BIGDIG *src = SCM_BDIGITS (b), *dst = SCM_BDIGITS (ans);
- while (i--)
- dst[i] = src[i];
- return ans;
-}
-
-
-
-SCM
-scm_long2big (n)
- long n;
-{
- scm_sizet i = 0;
- SCM_BIGDIG *digits;
- SCM ans = scm_mkbig (SCM_DIGSPERLONG, n < 0);
- digits = SCM_BDIGITS (ans);
- if (n < 0)
- n = -n;
- while (i < SCM_DIGSPERLONG)
- {
- digits[i++] = SCM_BIGLO (n);
- n = SCM_BIGDN ((unsigned long) n);
- }
- return ans;
-}
-
-#ifdef LONGLONGS
-
-SCM
-scm_long_long2big (n)
- long_long n;
-{
- scm_sizet i;
- SCM_BIGDIG *digits;
- SCM ans;
- int n_digits;
-
- {
- long tn;
- tn = (long) n;
- if ((long long) tn == n)
- return scm_long2big (tn);
- }
-
- {
- long_long tn;
-
- for (tn = n, n_digits = 0;
- tn;
- ++n_digits, tn = SCM_BIGDN ((ulong_long) tn))
- ;
- }
-
- i = 0;
- ans = scm_mkbig (n_digits, n < 0);
- digits = SCM_BDIGITS (ans);
- if (n < 0)
- n = -n;
- while (i < n_digits)
- {
- digits[i++] = SCM_BIGLO (n);
- n = SCM_BIGDN ((ulong_long) n);
- }
- return ans;
-}
-#endif
-
-
-SCM
-scm_2ulong2big (np)
- unsigned long *np;
-{
- unsigned long n;
- scm_sizet i;
- SCM_BIGDIG *digits;
- SCM ans;
-
- ans = scm_mkbig (2 * SCM_DIGSPERLONG, 0);
- digits = SCM_BDIGITS (ans);
-
- n = np[0];
- for (i = 0; i < SCM_DIGSPERLONG; ++i)
- {
- digits[i] = SCM_BIGLO (n);
- n = SCM_BIGDN ((unsigned long) n);
- }
- n = np[1];
- for (i = 0; i < SCM_DIGSPERLONG; ++i)
- {
- digits[i + SCM_DIGSPERLONG] = SCM_BIGLO (n);
- n = SCM_BIGDN ((unsigned long) n);
- }
- return ans;
-}
-
-
-
-SCM
-scm_ulong2big (n)
- unsigned long n;
-{
- scm_sizet i = 0;
- SCM_BIGDIG *digits;
- SCM ans = scm_mkbig (SCM_DIGSPERLONG, 0);
- digits = SCM_BDIGITS (ans);
- while (i < SCM_DIGSPERLONG)
- {
- digits[i++] = SCM_BIGLO (n);
- n = SCM_BIGDN (n);
- }
- return ans;
-}
-
-
-
-int
-scm_bigcomp (x, y)
- SCM x;
- SCM y;
-{
- int xsign = SCM_BIGSIGN (x);
- int ysign = SCM_BIGSIGN (y);
- scm_sizet xlen, ylen;
-
- /* Look at the signs, first. */
- if (ysign < xsign)
- return 1;
- if (ysign > xsign)
- return -1;
-
- /* They're the same sign, so see which one has more digits. Note
- that, if they are negative, the longer number is the lesser. */
- ylen = SCM_NUMDIGS (y);
- xlen = SCM_NUMDIGS (x);
- if (ylen > xlen)
- return (xsign) ? -1 : 1;
- if (ylen < xlen)
- return (xsign) ? 1 : -1;
-
- /* They have the same number of digits, so find the most significant
- digit where they differ. */
- while (xlen)
- {
- --xlen;
- if (SCM_BDIGITS (y)[xlen] != SCM_BDIGITS (x)[xlen])
- /* Make the discrimination based on the digit that differs. */
- return ((SCM_BDIGITS (y)[xlen] > SCM_BDIGITS (x)[xlen])
- ? (xsign ? -1 : 1)
- : (xsign ? 1 : -1));
- }
-
- /* The numbers are identical. */
- return 0;
-}
-
-#ifndef SCM_DIGSTOOBIG
-
-
-long
-scm_pseudolong (x)
- long x;
-{
- union
- {
- long l;
- SCM_BIGDIG bd[SCM_DIGSPERLONG];
- }
- p;
- scm_sizet i = 0;
- if (x < 0)
- x = -x;
- while (i < SCM_DIGSPERLONG)
- {
- p.bd[i++] = SCM_BIGLO (x);
- x = SCM_BIGDN (x);
- }
- /* p.bd[0] = SCM_BIGLO(x); p.bd[1] = SCM_BIGDN(x); */
- return p.l;
-}
-
-#else
-
-
-void
-scm_longdigs (x, digs)
- long x;
- SCM_BIGDIG digs[];
-{
- scm_sizet i = 0;
- if (x < 0)
- x = -x;
- while (i < SCM_DIGSPERLONG)
- {
- digs[i++] = SCM_BIGLO (x);
- x = SCM_BIGDN (x);
- }
-}
-#endif
-
-
-
-SCM
-scm_addbig (x, nx, xsgn, bigy, sgny)
- SCM_BIGDIG *x;
- scm_sizet nx;
- int xsgn;
- SCM bigy;
- int sgny;
-{
- /* Assumes nx <= SCM_NUMDIGS(bigy) */
- /* Assumes xsgn and sgny scm_equal either 0 or 0x0100 */
- long num = 0;
- scm_sizet i = 0, ny = SCM_NUMDIGS (bigy);
- SCM z = scm_copybig (bigy, SCM_BIGSIGN (bigy) ^ sgny);
- SCM_BIGDIG *zds = SCM_BDIGITS (z);
- if (xsgn ^ SCM_BIGSIGN (z))
- {
- do
- {
- num += (long) zds[i] - x[i];
- if (num < 0)
- {
- zds[i] = num + SCM_BIGRAD;
- num = -1;
- }
- else
- {
- zds[i] = SCM_BIGLO (num);
- num = 0;
- }
- }
- while (++i < nx);
- if (num && nx == ny)
- {
- num = 1;
- i = 0;
- SCM_SETCAR (z, SCM_CAR (z) ^ 0x0100);
- do
- {
- num += (SCM_BIGRAD - 1) - zds[i];
- zds[i++] = SCM_BIGLO (num);
- num = SCM_BIGDN (num);
- }
- while (i < ny);
- }
- else
- while (i < ny)
- {
- num += zds[i];
- if (num < 0)
- {
- zds[i++] = num + SCM_BIGRAD;
- num = -1;
- }
- else
- {
- zds[i++] = SCM_BIGLO (num);
- num = 0;
- }
- }
- }
- else
- {
- do
- {
- num += (long) zds[i] + x[i];
- zds[i++] = SCM_BIGLO (num);
- num = SCM_BIGDN (num);
- }
- while (i < nx);
- if (!num)
- return z;
- while (i < ny)
- {
- num += zds[i];
- zds[i++] = SCM_BIGLO (num);
- num = SCM_BIGDN (num);
- if (!num)
- return z;
- }
- if (num)
- {
- z = scm_adjbig (z, ny + 1);
- SCM_BDIGITS (z)[ny] = num;
- return z;
- }
- }
- return scm_normbig (z);
-}
-
-
-SCM
-scm_mulbig (x, nx, y, ny, sgn)
- SCM_BIGDIG *x;
- scm_sizet nx;
- SCM_BIGDIG *y;
- scm_sizet ny;
- int sgn;
-{
- scm_sizet i = 0, j = nx + ny;
- unsigned long n = 0;
- SCM z = scm_mkbig (j, sgn);
- SCM_BIGDIG *zds = SCM_BDIGITS (z);
- while (j--)
- zds[j] = 0;
- do
- {
- j = 0;
- if (x[i])
- {
- do
- {
- n += zds[i + j] + ((unsigned long) x[i] * y[j]);
- zds[i + j++] = SCM_BIGLO (n);
- n = SCM_BIGDN (n);
- }
- while (j < ny);
- if (n)
- {
- zds[i + j] = n;
- n = 0;
- }
- }
- }
- while (++i < nx);
- return scm_normbig (z);
-}
-
-
-/* Sun's compiler complains about the fact that this function has an
- ANSI prototype in numbers.h, but a K&R declaration here, and the
- two specify different promotions for the third argument. I'm going
- to turn this into an ANSI declaration, and see if anyone complains
- about it not being K&R. */
-
-unsigned int
-scm_divbigdig (SCM_BIGDIG * ds,
- scm_sizet h,
- SCM_BIGDIG div)
-{
- register unsigned long t2 = 0;
- while (h--)
- {
- t2 = SCM_BIGUP (t2) + ds[h];
- ds[h] = t2 / div;
- t2 %= div;
- }
- return t2;
-}
-
-
-
-SCM
-scm_divbigint (x, z, sgn, mode)
- SCM x;
- long z;
- int sgn;
- int mode;
-{
- if (z < 0)
- z = -z;
- if (z < SCM_BIGRAD)
- {
- register unsigned long t2 = 0;
- register SCM_BIGDIG *ds = SCM_BDIGITS (x);
- scm_sizet nd = SCM_NUMDIGS (x);
- while (nd--)
- t2 = (SCM_BIGUP (t2) + ds[nd]) % z;
- if (mode && t2)
- t2 = z - t2;
- return SCM_MAKINUM (sgn ? -t2 : t2);
- }
- {
-#ifndef SCM_DIGSTOOBIG
- unsigned long t2 = scm_pseudolong (z);
- return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- (SCM_BIGDIG *) & t2, SCM_DIGSPERLONG,
- sgn, mode);
-#else
- SCM_BIGDIG t2[SCM_DIGSPERLONG];
- scm_longdigs (z, t2);
- return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- t2, SCM_DIGSPERLONG,
- sgn, mode);
-#endif
- }
-}
-
-
-SCM
-scm_divbigbig (x, nx, y, ny, sgn, modes)
- SCM_BIGDIG *x;
- scm_sizet nx;
- SCM_BIGDIG *y;
- scm_sizet ny;
- int sgn;
- int modes;
-{
- /* modes description
- 0 remainder
- 1 scm_modulo
- 2 quotient
- 3 quotient but returns 0 if division is not exact. */
- scm_sizet i = 0, j = 0;
- long num = 0;
- unsigned long t2 = 0;
- SCM z, newy;
- SCM_BIGDIG d = 0, qhat, *zds, *yds;
- /* algorithm requires nx >= ny */
- if (nx < ny)
- switch (modes)
- {
- case 0: /* remainder -- just return x */
- z = scm_mkbig (nx, sgn);
- zds = SCM_BDIGITS (z);
- do
- {
- zds[i] = x[i];
- }
- while (++i < nx);
- return z;
- case 1: /* scm_modulo -- return y-x */
- z = scm_mkbig (ny, sgn);
- zds = SCM_BDIGITS (z);
- do
- {
- num += (long) y[i] - x[i];
- if (num < 0)
- {
- zds[i] = num + SCM_BIGRAD;
- num = -1;
- }
- else
- {
- zds[i] = num;
- num = 0;
- }
- }
- while (++i < nx);
- while (i < ny)
- {
- num += y[i];
- if (num < 0)
- {
- zds[i++] = num + SCM_BIGRAD;
- num = -1;
- }
- else
- {
- zds[i++] = num;
- num = 0;
- }
- }
- goto doadj;
- case 2:
- return SCM_INUM0; /* quotient is zero */
- case 3:
- return 0; /* the division is not exact */
- }
-
- z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn);
- zds = SCM_BDIGITS (z);
- if (nx == ny)
- zds[nx + 1] = 0;
- while (!y[ny - 1])
- ny--; /* in case y came in as a psuedolong */
- if (y[ny - 1] < (SCM_BIGRAD >> 1))
- { /* normalize operands */
- d = SCM_BIGRAD / (y[ny - 1] + 1);
- newy = scm_mkbig (ny, 0);
- yds = SCM_BDIGITS (newy);
- while (j < ny)
- {
- t2 += (unsigned long) y[j] * d;
- yds[j++] = SCM_BIGLO (t2);
- t2 = SCM_BIGDN (t2);
- }
- y = yds;
- j = 0;
- t2 = 0;
- while (j < nx)
- {
- t2 += (unsigned long) x[j] * d;
- zds[j++] = SCM_BIGLO (t2);
- t2 = SCM_BIGDN (t2);
- }
- zds[j] = t2;
- }
- else
- {
- zds[j = nx] = 0;
- while (j--)
- zds[j] = x[j];
- }
- j = nx == ny ? nx + 1 : nx; /* dividend needs more digits than divisor */
- do
- { /* loop over digits of quotient */
- if (zds[j] == y[ny - 1])
- qhat = SCM_BIGRAD - 1;
- else
- qhat = (SCM_BIGUP (zds[j]) + zds[j - 1]) / y[ny - 1];
- if (!qhat)
- continue;
- i = 0;
- num = 0;
- t2 = 0;
- do
- { /* multiply and subtract */
- t2 += (unsigned long) y[i] * qhat;
- num += zds[j - ny + i] - SCM_BIGLO (t2);
- if (num < 0)
- {
- zds[j - ny + i] = num + SCM_BIGRAD;
- num = -1;
- }
- else
- {
- zds[j - ny + i] = num;
- num = 0;
- }
- t2 = SCM_BIGDN (t2);
- }
- while (++i < ny);
- num += zds[j - ny + i] - t2; /* borrow from high digit; don't update */
- while (num)
- { /* "add back" required */
- i = 0;
- num = 0;
- qhat--;
- do
- {
- num += (long) zds[j - ny + i] + y[i];
- zds[j - ny + i] = SCM_BIGLO (num);
- num = SCM_BIGDN (num);
- }
- while (++i < ny);
- num--;
- }
- if (modes & 2)
- zds[j] = qhat;
- }
- while (--j >= ny);
- switch (modes)
- {
- case 3: /* check that remainder==0 */
- for (j = ny; j && !zds[j - 1]; --j);
- if (j)
- return 0;
- case 2: /* move quotient down in z */
- j = (nx == ny ? nx + 2 : nx + 1) - ny;
- for (i = 0; i < j; i++)
- zds[i] = zds[i + ny];
- ny = i;
- break;
- case 1: /* subtract for scm_modulo */
- i = 0;
- num = 0;
- j = 0;
- do
- {
- num += y[i] - zds[i];
- j = j | zds[i];
- if (num < 0)
- {
- zds[i] = num + SCM_BIGRAD;
- num = -1;
- }
- else
- {
- zds[i] = num;
- num = 0;
- }
- }
- while (++i < ny);
- if (!j)
- return SCM_INUM0;
- case 0: /* just normalize remainder */
- if (d)
- scm_divbigdig (zds, ny, d);
- }
- doadj:
- for (j = ny; j && !zds[j - 1]; --j);
- if (j * SCM_BITSPERDIG <= sizeof (SCM) * SCM_CHAR_BIT)
- if (SCM_INUMP (z = scm_big2inum (z, j)))
- return z;
- return scm_adjbig (z, j);
-}
-#endif
-\f
-
-
-
-
-/*** NUMBERS -> STRINGS ***/
-#ifdef SCM_FLOATS
-int scm_dblprec;
-static const double fx[] =
-{ 0.0, 5e-1, 5e-2, 5e-3, 5e-4, 5e-5,
- 5e-6, 5e-7, 5e-8, 5e-9, 5e-10,
- 5e-11, 5e-12, 5e-13, 5e-14, 5e-15,
- 5e-16, 5e-17, 5e-18, 5e-19, 5e-20};
-
-
-
-
-static scm_sizet idbl2str SCM_P ((double f, char *a));
-
-static scm_sizet
-idbl2str (f, a)
- double f;
- char *a;
-{
- int efmt, dpt, d, i, wp = scm_dblprec;
- scm_sizet ch = 0;
- int exp = 0;
-
- if (f == 0.0)
- goto zero; /*{a[0]='0'; a[1]='.'; a[2]='0'; return 3;} */
- if (f < 0.0)
- {
- f = -f;
- a[ch++] = '-';
- }
- else if (f > 0.0);
- else
- goto funny;
- if (IS_INF (f))
- {
- if (ch == 0)
- a[ch++] = '+';
- funny:
- a[ch++] = '#';
- a[ch++] = '.';
- a[ch++] = '#';
- return ch;
- }
-#ifdef DBL_MIN_10_EXP /* Prevent unnormalized values, as from
- make-uniform-vector, from causing infinite loops. */
- while (f < 1.0)
- {
- f *= 10.0;
- if (exp-- < DBL_MIN_10_EXP)
- goto funny;
- }
- while (f > 10.0)
- {
- f *= 0.10;
- if (exp++ > DBL_MAX_10_EXP)
- goto funny;
- }
-#else
- while (f < 1.0)
- {
- f *= 10.0;
- exp--;
- }
- while (f > 10.0)
- {
- f /= 10.0;
- exp++;
- }
-#endif
- if (f + fx[wp] >= 10.0)
- {
- f = 1.0;
- exp++;
- }
- zero:
-#ifdef ENGNOT
- dpt = (exp + 9999) % 3;
- exp -= dpt++;
- efmt = 1;
-#else
- efmt = (exp < -3) || (exp > wp + 2);
- if (!efmt)
- {
- if (exp < 0)
- {
- a[ch++] = '0';
- a[ch++] = '.';
- dpt = exp;
- while (++dpt)
- a[ch++] = '0';
- }
- else
- dpt = exp + 1;
- }
- else
- dpt = 1;
-#endif
-
- do
- {
- d = f;
- f -= d;
- a[ch++] = d + '0';
- if (f < fx[wp])
- break;
- if (f + fx[wp] >= 1.0)
- {
- a[ch - 1]++;
- break;
- }
- f *= 10.0;
- if (!(--dpt))
- a[ch++] = '.';
- }
- while (wp--);
-
- if (dpt > 0)
- {
-#ifndef ENGNOT
- if ((dpt > 4) && (exp > 6))
- {
- d = (a[0] == '-' ? 2 : 1);
- for (i = ch++; i > d; i--)
- a[i] = a[i - 1];
- a[d] = '.';
- efmt = 1;
- }
- else
-#endif
- {
- while (--dpt)
- a[ch++] = '0';
- a[ch++] = '.';
- }
- }
- if (a[ch - 1] == '.')
- a[ch++] = '0'; /* trailing zero */
- if (efmt && exp)
- {
- a[ch++] = 'e';
- if (exp < 0)
- {
- exp = -exp;
- a[ch++] = '-';
- }
- for (i = 10; i <= exp; i *= 10);
- for (i /= 10; i; i /= 10)
- {
- a[ch++] = exp / i + '0';
- exp %= i;
- }
- }
- return ch;
-}
-
-
-static scm_sizet iflo2str SCM_P ((SCM flt, char *str));
-
-static scm_sizet
-iflo2str (flt, str)
- SCM flt;
- char *str;
-{
- scm_sizet i;
-#ifdef SCM_SINGLES
- if (SCM_SINGP (flt))
- i = idbl2str (SCM_FLO (flt), str);
- else
-#endif
- i = idbl2str (SCM_REAL (flt), str);
- if (SCM_CPLXP (flt))
- {
- if (0 <= SCM_IMAG (flt)) /* jeh */
- str[i++] = '+'; /* jeh */
- i += idbl2str (SCM_IMAG (flt), &str[i]);
- str[i++] = 'i';
- }
- return i;
-}
-#endif /* SCM_FLOATS */
-
-
-scm_sizet
-scm_iint2str (num, rad, p)
- long num;
- int rad;
- char *p;
-{
- scm_sizet j;
- register int i = 1, d;
- register long n = num;
- if (n < 0)
- {
- n = -n;
- i++;
- }
- for (n /= rad; n > 0; n /= rad)
- i++;
- j = i;
- n = num;
- if (n < 0)
- {
- n = -n;
- *p++ = '-';
- i--;
- }
- while (i--)
- {
- d = n % rad;
- n /= rad;
- p[i] = d + ((d < 10) ? '0' : 'a' - 10);
- }
- return j;
-}
-
-
-#ifdef SCM_BIGDIG
-
-static SCM big2str SCM_P ((SCM b, register unsigned int radix));
-
-static SCM
-big2str (b, radix)
- SCM b;
- register unsigned int radix;
-{
- SCM t = scm_copybig (b, 0); /* sign of temp doesn't matter */
- register SCM_BIGDIG *ds = SCM_BDIGITS (t);
- scm_sizet i = SCM_NUMDIGS (t);
- scm_sizet j = radix == 16 ? (SCM_BITSPERDIG * i) / 4 + 2
- : radix >= 10 ? (SCM_BITSPERDIG * i * 241L) / 800 + 2
- : (SCM_BITSPERDIG * i) + 2;
- scm_sizet k = 0;
- scm_sizet radct = 0;
- scm_sizet ch; /* jeh */
- SCM_BIGDIG radpow = 1, radmod = 0;
- SCM ss = scm_makstr ((long) j, 0);
- char *s = SCM_CHARS (ss), c;
- while ((long) radpow * radix < SCM_BIGRAD)
- {
- radpow *= radix;
- radct++;
- }
- s[0] = scm_tc16_bigneg == SCM_TYP16 (b) ? '-' : '+';
- while ((i || radmod) && j)
- {
- if (k == 0)
- {
- radmod = (SCM_BIGDIG) scm_divbigdig (ds, i, radpow);
- k = radct;
- if (!ds[i - 1])
- i--;
- }
- c = radmod % radix;
- radmod /= radix;
- k--;
- s[--j] = c < 10 ? c + '0' : c + 'a' - 10;
- }
- ch = s[0] == '-' ? 1 : 0; /* jeh */
- if (ch < j)
- { /* jeh */
- for (i = j; j < SCM_LENGTH (ss); j++)
- s[ch + j - i] = s[j]; /* jeh */
- scm_vector_set_length_x (ss, /* jeh */
- (SCM) SCM_MAKINUM (ch + SCM_LENGTH (ss) - i));
- }
-
- return scm_return_first (ss, t);
-}
-#endif
-
-
-SCM_PROC (s_number_to_string, "number->string", 1, 1, 0, scm_number_to_string);
-
-SCM
-scm_number_to_string (x, radix)
- SCM x;
- SCM radix;
-{
- if (SCM_UNBNDP (radix))
- radix = SCM_MAKINUM (10L);
- else
- SCM_ASSERT (SCM_INUMP (radix), radix, SCM_ARG2, s_number_to_string);
-#ifdef SCM_FLOATS
- if (SCM_NINUMP (x))
- {
- char num_buf[SCM_FLOBUFLEN];
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (x), badx);
- if (SCM_BIGP (x))
- return big2str (x, (unsigned int) SCM_INUM (radix));
-#ifndef SCM_RECKLESS
- if (!(SCM_INEXP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_number_to_string);
- }
-#endif
-#else
- SCM_ASSERT (SCM_NIMP (x) && SCM_INEXP (x),
- x, SCM_ARG1, s_number_to_string);
-#endif
- return scm_makfromstr (num_buf, iflo2str (x, num_buf), 0);
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x),
- x, SCM_ARG1, s_number_to_string);
- return big2str (x, (unsigned int) SCM_INUM (radix));
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_number_to_string);
-#endif
-#endif
- {
- char num_buf[SCM_INTBUFLEN];
- return scm_makfromstr (num_buf,
- scm_iint2str (SCM_INUM (x),
- (int) SCM_INUM (radix),
- num_buf),
- 0);
- }
-}
-
-
-/* These print routines are stubbed here so that scm_repl.c doesn't need
- SCM_FLOATS or SCM_BIGDIGs conditionals */
-
-int
-scm_floprint (sexp, port, pstate)
- SCM sexp;
- SCM port;
- scm_print_state *pstate;
-{
-#ifdef SCM_FLOATS
- char num_buf[SCM_FLOBUFLEN];
- scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port);
-#else
- scm_ipruk ("float", sexp, port);
-#endif
- return !0;
-}
-
-
-
-int
-scm_bigprint (exp, port, pstate)
- SCM exp;
- SCM port;
- scm_print_state *pstate;
-{
-#ifdef SCM_BIGDIG
- exp = big2str (exp, (unsigned int) 10);
- scm_lfwrite (SCM_CHARS (exp), (scm_sizet) SCM_LENGTH (exp), port);
-#else
- scm_ipruk ("bignum", exp, port);
-#endif
- return !0;
-}
-/*** END nums->strs ***/
-
-/*** STRINGS -> NUMBERS ***/
-
-static SCM scm_small_istr2int SCM_P ((char *str, long len, long radix));
-
-static SCM
-scm_small_istr2int (str, len, radix)
- char *str;
- long len;
- long radix;
-{
- register long n = 0, ln;
- register int c;
- register int i = 0;
- int lead_neg = 0;
- if (0 >= len)
- return SCM_BOOL_F; /* zero scm_length */
- switch (*str)
- { /* leading sign */
- case '-':
- lead_neg = 1;
- case '+':
- if (++i == len)
- return SCM_BOOL_F; /* bad if lone `+' or `-' */
- }
-
- do
- {
- switch (c = str[i++])
- {
- case DIGITS:
- c = c - '0';
- goto accumulate;
- case 'A':
- case 'B':
- case 'C':
- case 'D':
- case 'E':
- case 'F':
- c = c - 'A' + 10;
- goto accumulate;
- case 'a':
- case 'b':
- case 'c':
- case 'd':
- case 'e':
- case 'f':
- c = c - 'a' + 10;
- accumulate:
- if (c >= radix)
- return SCM_BOOL_F; /* bad digit for radix */
- ln = n;
- n = n * radix - c;
- /* Negation is a workaround for HP700 cc bug */
- if (n > ln || (-n > -SCM_MOST_NEGATIVE_FIXNUM))
- goto ovfl;
- break;
- default:
- return SCM_BOOL_F; /* not a digit */
- }
- }
- while (i < len);
- if (!lead_neg)
- if ((n = -n) > SCM_MOST_POSITIVE_FIXNUM)
- goto ovfl;
- return SCM_MAKINUM (n);
- ovfl: /* overflow scheme integer */
- return SCM_BOOL_F;
-}
-
-
-
-SCM
-scm_istr2int (str, len, radix)
- char *str;
- long len;
- long radix;
-{
- scm_sizet j;
- register scm_sizet k, blen = 1;
- scm_sizet i = 0;
- int c;
- SCM res;
- register SCM_BIGDIG *ds;
- register unsigned long t2;
-
- if (0 >= len)
- return SCM_BOOL_F; /* zero scm_length */
-
- /* Short numbers we parse directly into an int, to avoid the overhead
- of creating a bignum. */
- if (len < 6)
- return scm_small_istr2int (str, len, radix);
-
- if (16 == radix)
- j = 1 + (4 * len * sizeof (char)) / (SCM_BITSPERDIG);
- else if (10 <= radix)
- j = 1 + (84 * len * sizeof (char)) / (SCM_BITSPERDIG * 25);
- else
- j = 1 + (len * sizeof (char)) / (SCM_BITSPERDIG);
- switch (str[0])
- { /* leading sign */
- case '-':
- case '+':
- if (++i == (unsigned) len)
- return SCM_BOOL_F; /* bad if lone `+' or `-' */
- }
- res = scm_mkbig (j, '-' == str[0]);
- ds = SCM_BDIGITS (res);
- for (k = j; k--;)
- ds[k] = 0;
- do
- {
- switch (c = str[i++])
- {
- case DIGITS:
- c = c - '0';
- goto accumulate;
- case 'A':
- case 'B':
- case 'C':
- case 'D':
- case 'E':
- case 'F':
- c = c - 'A' + 10;
- goto accumulate;
- case 'a':
- case 'b':
- case 'c':
- case 'd':
- case 'e':
- case 'f':
- c = c - 'a' + 10;
- accumulate:
- if (c >= radix)
- return SCM_BOOL_F; /* bad digit for radix */
- k = 0;
- t2 = c;
- moretodo:
- while (k < blen)
- {
-/* printf ("k = %d, blen = %d, t2 = %ld, ds[k] = %d\n", k, blen, t2, ds[k]); */
- t2 += ds[k] * radix;
- ds[k++] = SCM_BIGLO (t2);
- t2 = SCM_BIGDN (t2);
- }
- if (blen > j)
- scm_num_overflow ("bignum");
- if (t2)
- {
- blen++;
- goto moretodo;
- }
- break;
- default:
- return SCM_BOOL_F; /* not a digit */
- }
- }
- while (i < (unsigned) len);
- if (blen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM))
- if (SCM_INUMP (res = scm_big2inum (res, blen)))
- return res;
- if (j == blen)
- return res;
- return scm_adjbig (res, blen);
-}
-
-#ifdef SCM_FLOATS
-
-SCM
-scm_istr2flo (str, len, radix)
- char *str;
- long len;
- long radix;
-{
- register int c, i = 0;
- double lead_sgn;
- double res = 0.0, tmp = 0.0;
- int flg = 0;
- int point = 0;
- SCM second;
-
- if (i >= len)
- return SCM_BOOL_F; /* zero scm_length */
-
- switch (*str)
- { /* leading sign */
- case '-':
- lead_sgn = -1.0;
- i++;
- break;
- case '+':
- lead_sgn = 1.0;
- i++;
- break;
- default:
- lead_sgn = 0.0;
- }
- if (i == len)
- return SCM_BOOL_F; /* bad if lone `+' or `-' */
-
- if (str[i] == 'i' || str[i] == 'I')
- { /* handle `+i' and `-i' */
- if (lead_sgn == 0.0)
- return SCM_BOOL_F; /* must have leading sign */
- if (++i < len)
- return SCM_BOOL_F; /* `i' not last character */
- return scm_makdbl (0.0, lead_sgn);
- }
- do
- { /* check initial digits */
- switch (c = str[i])
- {
- case DIGITS:
- c = c - '0';
- goto accum1;
- case 'D':
- case 'E':
- case 'F':
- if (radix == 10)
- goto out1; /* must be exponent */
- case 'A':
- case 'B':
- case 'C':
- c = c - 'A' + 10;
- goto accum1;
- case 'd':
- case 'e':
- case 'f':
- if (radix == 10)
- goto out1;
- case 'a':
- case 'b':
- case 'c':
- c = c - 'a' + 10;
- accum1:
- if (c >= radix)
- return SCM_BOOL_F; /* bad digit for radix */
- res = res * radix + c;
- flg = 1; /* res is valid */
- break;
- default:
- goto out1;
- }
- }
- while (++i < len);
- out1:
-
- /* if true, then we did see a digit above, and res is valid */
- if (i == len)
- goto done;
-
- /* By here, must have seen a digit,
- or must have next char be a `.' with radix==10 */
- if (!flg)
- if (!(str[i] == '.' && radix == 10))
- return SCM_BOOL_F;
-
- while (str[i] == '#')
- { /* optional sharps */
- res *= radix;
- if (++i == len)
- goto done;
- }
-
- if (str[i] == '/')
- {
- while (++i < len)
- {
- switch (c = str[i])
- {
- case DIGITS:
- c = c - '0';
- goto accum2;
- case 'A':
- case 'B':
- case 'C':
- case 'D':
- case 'E':
- case 'F':
- c = c - 'A' + 10;
- goto accum2;
- case 'a':
- case 'b':
- case 'c':
- case 'd':
- case 'e':
- case 'f':
- c = c - 'a' + 10;
- accum2:
- if (c >= radix)
- return SCM_BOOL_F;
- tmp = tmp * radix + c;
- break;
- default:
- goto out2;
- }
- }
- out2:
- if (tmp == 0.0)
- return SCM_BOOL_F; /* `slash zero' not allowed */
- if (i < len)
- while (str[i] == '#')
- { /* optional sharps */
- tmp *= radix;
- if (++i == len)
- break;
- }
- res /= tmp;
- goto done;
- }
-
- if (str[i] == '.')
- { /* decimal point notation */
- if (radix != 10)
- return SCM_BOOL_F; /* must be radix 10 */
- while (++i < len)
- {
- switch (c = str[i])
- {
- case DIGITS:
- point--;
- res = res * 10.0 + c - '0';
- flg = 1;
- break;
- default:
- goto out3;
- }
- }
- out3:
- if (!flg)
- return SCM_BOOL_F; /* no digits before or after decimal point */
- if (i == len)
- goto adjust;
- while (str[i] == '#')
- { /* ignore remaining sharps */
- if (++i == len)
- goto adjust;
- }
- }
-
- switch (str[i])
- { /* exponent */
- case 'd':
- case 'D':
- case 'e':
- case 'E':
- case 'f':
- case 'F':
- case 'l':
- case 'L':
- case 's':
- case 'S':
- {
- int expsgn = 1, expon = 0;
- if (radix != 10)
- return SCM_BOOL_F; /* only in radix 10 */
- if (++i == len)
- return SCM_BOOL_F; /* bad exponent */
- switch (str[i])
- {
- case '-':
- expsgn = (-1);
- case '+':
- if (++i == len)
- return SCM_BOOL_F; /* bad exponent */
- }
- if (str[i] < '0' || str[i] > '9')
- return SCM_BOOL_F; /* bad exponent */
- do
- {
- switch (c = str[i])
- {
- case DIGITS:
- expon = expon * 10 + c - '0';
- if (expon > MAXEXP)
- return SCM_BOOL_F; /* exponent too large */
- break;
- default:
- goto out4;
- }
- }
- while (++i < len);
- out4:
- point += expsgn * expon;
- }
- }
-
- adjust:
- if (point >= 0)
- while (point--)
- res *= 10.0;
- else
-#ifdef _UNICOS
- while (point++)
- res *= 0.1;
-#else
- while (point++)
- res /= 10.0;
-#endif
-
- done:
- /* at this point, we have a legitimate floating point result */
- if (lead_sgn == -1.0)
- res = -res;
- if (i == len)
- return scm_makdbl (res, 0.0);
-
- if (str[i] == 'i' || str[i] == 'I')
- { /* pure imaginary number */
- if (lead_sgn == 0.0)
- return SCM_BOOL_F; /* must have leading sign */
- if (++i < len)
- return SCM_BOOL_F; /* `i' not last character */
- return scm_makdbl (0.0, res);
- }
-
- switch (str[i++])
- {
- case '-':
- lead_sgn = -1.0;
- break;
- case '+':
- lead_sgn = 1.0;
- break;
- case '@':
- { /* polar input for complex number */
- /* get a `real' for scm_angle */
- second = scm_istr2flo (&str[i], (long) (len - i), radix);
- if (!(SCM_INEXP (second)))
- return SCM_BOOL_F; /* not `real' */
- if (SCM_CPLXP (second))
- return SCM_BOOL_F; /* not `real' */
- tmp = SCM_REALPART (second);
- return scm_makdbl (res * cos (tmp), res * sin (tmp));
- }
- default:
- return SCM_BOOL_F;
- }
-
- /* at this point, last char must be `i' */
- if (str[len - 1] != 'i' && str[len - 1] != 'I')
- return SCM_BOOL_F;
- /* handles `x+i' and `x-i' */
- if (i == (len - 1))
- return scm_makdbl (res, lead_sgn);
- /* get a `ureal' for complex part */
- second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix);
- if (!(SCM_INEXP (second)))
- return SCM_BOOL_F; /* not `ureal' */
- if (SCM_CPLXP (second))
- return SCM_BOOL_F; /* not `ureal' */
- tmp = SCM_REALPART (second);
- if (tmp < 0.0)
- return SCM_BOOL_F; /* not `ureal' */
- return scm_makdbl (res, (lead_sgn * tmp));
-}
-#endif /* SCM_FLOATS */
-
-
-
-SCM
-scm_istring2number (str, len, radix)
- char *str;
- long len;
- long radix;
-{
- int i = 0;
- char ex = 0;
- char ex_p = 0, rx_p = 0; /* Only allow 1 exactness and 1 radix prefix */
- SCM res;
- if (len == 1)
- if (*str == '+' || *str == '-') /* Catches lone `+' and `-' for speed */
- return SCM_BOOL_F;
-
- while ((len - i) >= 2 && str[i] == '#' && ++i)
- switch (str[i++])
- {
- case 'b':
- case 'B':
- if (rx_p++)
- return SCM_BOOL_F;
- radix = 2;
- break;
- case 'o':
- case 'O':
- if (rx_p++)
- return SCM_BOOL_F;
- radix = 8;
- break;
- case 'd':
- case 'D':
- if (rx_p++)
- return SCM_BOOL_F;
- radix = 10;
- break;
- case 'x':
- case 'X':
- if (rx_p++)
- return SCM_BOOL_F;
- radix = 16;
- break;
- case 'i':
- case 'I':
- if (ex_p++)
- return SCM_BOOL_F;
- ex = 2;
- break;
- case 'e':
- case 'E':
- if (ex_p++)
- return SCM_BOOL_F;
- ex = 1;
- break;
- default:
- return SCM_BOOL_F;
- }
-
- switch (ex)
- {
- case 1:
- return scm_istr2int (&str[i], len - i, radix);
- case 0:
- res = scm_istr2int (&str[i], len - i, radix);
- if (SCM_NFALSEP (res))
- return res;
-#ifdef SCM_FLOATS
- case 2:
- return scm_istr2flo (&str[i], len - i, radix);
-#endif
- }
- return SCM_BOOL_F;
-}
-
-
-SCM_PROC (s_string_to_number, "string->number", 1, 1, 0, scm_string_to_number);
-
-SCM
-scm_string_to_number (str, radix)
- SCM str;
- SCM radix;
-{
- SCM answer;
- if (SCM_UNBNDP (radix))
- radix = SCM_MAKINUM (10L);
- else
- SCM_ASSERT (SCM_INUMP (radix), radix, SCM_ARG2, s_string_to_number);
- SCM_ASSERT (SCM_NIMP (str) && SCM_ROSTRINGP (str),
- str, SCM_ARG1, s_string_to_number);
- answer = scm_istring2number (SCM_ROCHARS (str),
- SCM_ROLENGTH (str),
- SCM_INUM (radix));
- return scm_return_first (answer, str);
-}
-/*** END strs->nums ***/
-
-#ifdef SCM_FLOATS
-
-SCM
-scm_makdbl (x, y)
- double x;
- double y;
-{
- SCM z;
- if ((y == 0.0) && (x == 0.0))
- return scm_flo0;
- SCM_DEFER_INTS;
- if (y == 0.0)
- {
-#ifdef SCM_SINGLES
- float fx = x;
-#ifndef SCM_SINGLESONLY
- if ((-FLTMAX < x) && (x < FLTMAX) && (fx == x))
-#endif
- {
- SCM_NEWSMOB(z,scm_tc_flo,NULL);
- SCM_FLO (z) = x;
- SCM_ALLOW_INTS;
- return z;
- }
-#endif /* def SCM_SINGLES */
- SCM_NEWSMOB(z,scm_tc_dblr,scm_must_malloc (1L * sizeof (double), "real"));
- }
- else
- {
- SCM_NEWSMOB(z,scm_tc_dblc,scm_must_malloc (2L * sizeof (double), "comkplex"));
- SCM_IMAG (z) = y;
- }
- SCM_REAL (z) = x;
- SCM_ALLOW_INTS;
- return z;
-}
-#endif
-
-
-
-SCM
-scm_bigequal (x, y)
- SCM x;
- SCM y;
-{
-#ifdef SCM_BIGDIG
- if (0 == scm_bigcomp (x, y))
- return SCM_BOOL_T;
-#endif
- return SCM_BOOL_F;
-}
-
-
-
-SCM
-scm_floequal (x, y)
- SCM x;
- SCM y;
-{
-#ifdef SCM_FLOATS
- if (SCM_REALPART (x) != SCM_REALPART (y))
- return SCM_BOOL_F;
- if (!(SCM_CPLXP (x) && (SCM_IMAG (x) != SCM_IMAG (y))))
- return SCM_BOOL_T;
-#endif
- return SCM_BOOL_F;
-}
-
-
-
-
-SCM_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p);
-SCM_PROC (s_complex_p, "complex?", 1, 0, 0, scm_number_p);
-
-SCM
-scm_number_p (x)
- SCM x;
-{
- if (SCM_INUMP (x))
- return SCM_BOOL_T;
-#ifdef SCM_FLOATS
- if (SCM_NIMP (x) && SCM_NUMP (x))
- return SCM_BOOL_T;
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NIMP (x) && SCM_NUMP (x))
- return SCM_BOOL_T;
-#endif
-#endif
- return SCM_BOOL_F;
-}
-
-
-
-#ifdef SCM_FLOATS
-SCM_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p);
-SCM_PROC (s_rational_p, "rational?", 1, 0, 0, scm_real_p);
-
-SCM
-scm_real_p (x)
- SCM x;
-{
- if (SCM_INUMP (x))
- return SCM_BOOL_T;
- if (SCM_IMP (x))
- return SCM_BOOL_F;
- if (SCM_REALP (x))
- return SCM_BOOL_T;
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (x))
- return SCM_BOOL_T;
-#endif
- return SCM_BOOL_F;
-}
-
-
-
-SCM_PROC (s_int_p, "integer?", 1, 0, 0, scm_integer_p);
-
-SCM
-scm_integer_p (x)
- SCM x;
-{
- double r;
- if (SCM_INUMP (x))
- return SCM_BOOL_T;
- if (SCM_IMP (x))
- return SCM_BOOL_F;
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (x))
- return SCM_BOOL_T;
-#endif
- if (!SCM_INEXP (x))
- return SCM_BOOL_F;
- if (SCM_CPLXP (x))
- return SCM_BOOL_F;
- r = SCM_REALPART (x);
- if (r == floor (r))
- return SCM_BOOL_T;
- return SCM_BOOL_F;
-}
-
-
-
-#endif /* SCM_FLOATS */
-
-SCM_PROC (s_inexact_p, "inexact?", 1, 0, 0, scm_inexact_p);
-
-SCM
-scm_inexact_p (x)
- SCM x;
-{
-#ifdef SCM_FLOATS
- if (SCM_NIMP (x) && SCM_INEXP (x))
- return SCM_BOOL_T;
-#endif
- return SCM_BOOL_F;
-}
-
-
-
-
-SCM_PROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p);
-
-SCM
-scm_num_eq_p (x, y)
- SCM x;
- SCM y;
-{
-#ifdef SCM_FLOATS
- SCM t;
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_eq_p);
- }
-#endif
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- return SCM_BOOL_F;
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return (0 == scm_bigcomp (x, y)) ? SCM_BOOL_T : SCM_BOOL_F;
- SCM_ASRTGO (SCM_INEXP (y), bady);
- bigreal:
- return ((SCM_REALP (y) && (scm_big2dbl (x) == SCM_REALPART (y)))
- ? SCM_BOOL_T
- : SCM_BOOL_F);
- }
- SCM_ASRTGO (SCM_INEXP (x), badx);
-#else
- SCM_ASSERT (SCM_NIMP (x) && SCM_INEXP (x), x, SCM_ARG1, s_eq_p);
-#endif
- if (SCM_INUMP (y))
- {
- t = x;
- x = y;
- y = t;
- goto realint;
- }
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- t = x;
- x = y;
- y = t;
- goto bigreal;
- }
- SCM_ASRTGO (SCM_INEXP (y), bady);
-#else
- SCM_ASRTGO (SCM_NIMP (y) && SCM_INEXP (y), bady);
-#endif
- if (SCM_REALPART (x) != SCM_REALPART (y))
- return SCM_BOOL_F;
- if (SCM_CPLXP (x))
- return ((SCM_CPLXP (y) && (SCM_IMAG (x) == SCM_IMAG (y)))
- ? SCM_BOOL_T
- : SCM_BOOL_F);
- return SCM_CPLXP (y) ? SCM_BOOL_F : SCM_BOOL_T;
- }
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_BOOL_F;
-#ifndef SCM_RECKLESS
- if (!(SCM_INEXP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_eq_p);
- }
-#endif
-#else
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_INEXP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_eq_p);
- }
-#endif
-#endif
- realint:
- return ((SCM_REALP (y) && (((double) SCM_INUM (x)) == SCM_REALPART (y)))
- ? SCM_BOOL_T
- : SCM_BOOL_F);
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_eq_p);
- if (SCM_INUMP (y))
- return SCM_BOOL_F;
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- return (0 == scm_bigcomp (x, y)) ? SCM_BOOL_T : SCM_BOOL_F;
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_eq_p);
- }
-#endif
- return SCM_BOOL_F;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_eq_p);
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_eq_p);
-#endif
-#endif
- return ((long) x == (long) y) ? SCM_BOOL_T : SCM_BOOL_F;
-}
-
-
-
-SCM_PROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p);
-
-SCM
-scm_less_p (x, y)
- SCM x;
- SCM y;
-{
-#ifdef SCM_FLOATS
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_less_p);
- }
-#endif
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- return SCM_BIGSIGN (x) ? SCM_BOOL_T : SCM_BOOL_F;
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return (1 == scm_bigcomp (x, y)) ? SCM_BOOL_T : SCM_BOOL_F;
- SCM_ASRTGO (SCM_REALP (y), bady);
- return ((scm_big2dbl (x) < SCM_REALPART (y))
- ? SCM_BOOL_T
- : SCM_BOOL_F);
- }
- SCM_ASRTGO (SCM_REALP (x), badx);
-#else
- SCM_ASSERT (SCM_NIMP (x) && SCM_REALP (x), x, SCM_ARG1, s_less_p);
-#endif
- if (SCM_INUMP (y))
- return ((SCM_REALPART (x) < ((double) SCM_INUM (y)))
- ? SCM_BOOL_T
- : SCM_BOOL_F);
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return (SCM_REALPART (x) < scm_big2dbl (y)) ? SCM_BOOL_T : SCM_BOOL_F;
- SCM_ASRTGO (SCM_REALP (y), bady);
-#else
- SCM_ASRTGO (SCM_NIMP (y) && SCM_REALP (y), bady);
-#endif
- return (SCM_REALPART (x) < SCM_REALPART (y)) ? SCM_BOOL_T : SCM_BOOL_F;
- }
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_BIGSIGN (y) ? SCM_BOOL_F : SCM_BOOL_T;
-#ifndef SCM_RECKLESS
- if (!(SCM_REALP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_less_p);
- }
-#endif
-#else
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_REALP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_less_p);
- }
-#endif
-#endif
- return ((((double) SCM_INUM (x)) < SCM_REALPART (y))
- ? SCM_BOOL_T
- : SCM_BOOL_F);
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_less_p);
- if (SCM_INUMP (y))
- return SCM_BIGSIGN (x) ? SCM_BOOL_T : SCM_BOOL_F;
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- return (1 == scm_bigcomp (x, y)) ? SCM_BOOL_T : SCM_BOOL_F;
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_less_p);
- }
-#endif
- return SCM_BIGSIGN (y) ? SCM_BOOL_F : SCM_BOOL_T;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_less_p);
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_less_p);
-#endif
-#endif
- return ((long) x < (long) y) ? SCM_BOOL_T : SCM_BOOL_F;
-}
-
-
-SCM_PROC1 (s_gr_p, ">", scm_tc7_rpsubr, scm_gr_p);
-
-SCM
-scm_gr_p (x, y)
- SCM x;
- SCM y;
-{
- return scm_less_p (y, x);
-}
-
-
-
-SCM_PROC1 (s_leq_p, "<=", scm_tc7_rpsubr, scm_leq_p);
-
-SCM
-scm_leq_p (x, y)
- SCM x;
- SCM y;
-{
- return SCM_BOOL_NOT (scm_less_p (y, x));
-}
-
-
-
-SCM_PROC1 (s_geq_p, ">=", scm_tc7_rpsubr, scm_geq_p);
-
-SCM
-scm_geq_p (x, y)
- SCM x;
- SCM y;
-{
- return SCM_BOOL_NOT (scm_less_p (x, y));
-}
-
-
-
-SCM_PROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p);
-
-SCM
-scm_zero_p (z)
- SCM z;
-{
-#ifdef SCM_FLOATS
- if (SCM_NINUMP (z))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
- return SCM_BOOL_F;
-#ifndef SCM_RECKLESS
- if (!(SCM_INEXP (z)))
- {
- badz:
- scm_wta (z, (char *) SCM_ARG1, s_zero_p);
- }
-#endif
-#else
- SCM_ASSERT (SCM_NIMP (z) && SCM_INEXP (z), z, SCM_ARG1, s_zero_p);
-#endif
- return (z == scm_flo0) ? SCM_BOOL_T : SCM_BOOL_F;
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (z))
- {
- SCM_ASSERT (SCM_NIMP (z) && SCM_BIGP (z), z, SCM_ARG1, s_zero_p);
- return SCM_BOOL_F;
- }
-#else
- SCM_ASSERT (SCM_INUMP (z), z, SCM_ARG1, s_zero_p);
-#endif
-#endif
- return (z == SCM_INUM0) ? SCM_BOOL_T : SCM_BOOL_F;
-}
-
-
-
-SCM_PROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p);
-
-SCM
-scm_positive_p (x)
- SCM x;
-{
-#ifdef SCM_FLOATS
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (x), badx);
- if (SCM_BIGP (x))
- return SCM_TYP16 (x) == scm_tc16_bigpos ? SCM_BOOL_T : SCM_BOOL_F;
-#ifndef SCM_RECKLESS
- if (!(SCM_REALP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_positive_p);
- }
-#endif
-#else
- SCM_ASSERT (SCM_NIMP (x) && SCM_REALP (x), x, SCM_ARG1, s_positive_p);
-#endif
- return (SCM_REALPART (x) > 0.0) ? SCM_BOOL_T : SCM_BOOL_F;
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_positive_p);
- return SCM_TYP16 (x) == scm_tc16_bigpos ? SCM_BOOL_T : SCM_BOOL_F;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_positive_p);
-#endif
-#endif
- return (x > SCM_INUM0) ? SCM_BOOL_T : SCM_BOOL_F;
-}
-
-
-
-SCM_PROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p);
-
-SCM
-scm_negative_p (x)
- SCM x;
-{
-#ifdef SCM_FLOATS
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (x), badx);
- if (SCM_BIGP (x))
- return SCM_TYP16 (x) == scm_tc16_bigpos ? SCM_BOOL_F : SCM_BOOL_T;
-#ifndef SCM_RECKLESS
- if (!(SCM_REALP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_negative_p);
- }
-#endif
-#else
- SCM_ASSERT (SCM_NIMP (x) && SCM_REALP (x), x, SCM_ARG1, s_negative_p);
-#endif
- return (SCM_REALPART (x) < 0.0) ? SCM_BOOL_T : SCM_BOOL_F;
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_negative_p);
- return (SCM_TYP16 (x) == scm_tc16_bigneg) ? SCM_BOOL_T : SCM_BOOL_F;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_negative_p);
-#endif
-#endif
- return (x < SCM_INUM0) ? SCM_BOOL_T : SCM_BOOL_F;
-}
-
-
-SCM_PROC1 (s_max, "max", scm_tc7_asubr, scm_max);
-
-SCM
-scm_max (x, y)
- SCM x;
- SCM y;
-{
-#ifdef SCM_FLOATS
- double z;
-#endif
- if (SCM_UNBNDP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NUMBERP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_max);
- }
-#endif
- return x;
- }
-#ifdef SCM_FLOATS
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (x), badx);
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- return SCM_BIGSIGN (x) ? y : x;
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return (1 == scm_bigcomp (x, y)) ? y : x;
- SCM_ASRTGO (SCM_REALP (y), bady);
- z = scm_big2dbl (x);
- return (z < SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0);
- }
- SCM_ASRTGO (SCM_REALP (x), badx);
-#else
- SCM_ASSERT (SCM_NIMP (x) && SCM_REALP (x), x, SCM_ARG1, s_max);
-#endif
- if (SCM_INUMP (y))
- return ((SCM_REALPART (x) < (z = SCM_INUM (y)))
- ? scm_makdbl (z, 0.0)
- : x);
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return ((SCM_REALPART (x) < (z = scm_big2dbl (y)))
- ? scm_makdbl (z, 0.0)
- : x);
- SCM_ASRTGO (SCM_REALP (y), bady);
-#else
- SCM_ASRTGO (SCM_NIMP (y) && SCM_REALP (y), bady);
-#endif
- return (SCM_REALPART (x) < SCM_REALPART (y)) ? y : x;
- }
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_BIGSIGN (y) ? x : y;
-#ifndef SCM_RECKLESS
- if (!(SCM_REALP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_max);
- }
-#endif
-#else
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_REALP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_max);
- }
-#endif
-#endif
- return (((z = SCM_INUM (x)) < SCM_REALPART (y))
- ? y
- : scm_makdbl (z, 0.0));
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_max);
- if (SCM_INUMP (y))
- return SCM_BIGSIGN (x) ? y : x;
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- return (1 == scm_bigcomp (x, y)) ? y : x;
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_max);
- }
-#endif
- return SCM_BIGSIGN (y) ? x : y;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_max);
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_max);
-#endif
-#endif
- return ((long) x < (long) y) ? y : x;
-}
-
-
-
-
-SCM_PROC1 (s_min, "min", scm_tc7_asubr, scm_min);
-
-SCM
-scm_min (x, y)
- SCM x;
- SCM y;
-{
-#ifdef SCM_FLOATS
- double z;
-#endif
- if (SCM_UNBNDP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NUMBERP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_min);
- }
-#endif
- return x;
- }
-#ifdef SCM_FLOATS
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (x), badx);
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- return SCM_BIGSIGN (x) ? x : y;
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return (-1 == scm_bigcomp (x, y)) ? y : x;
- SCM_ASRTGO (SCM_REALP (y), bady);
- z = scm_big2dbl (x);
- return (z > SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0);
- }
- SCM_ASRTGO (SCM_REALP (x), badx);
-#else
- SCM_ASSERT (SCM_NIMP (x) && SCM_REALP (x), x, SCM_ARG1, s_min);
-#endif
- if (SCM_INUMP (y))
- return ((SCM_REALPART (x) > (z = SCM_INUM (y)))
- ? scm_makdbl (z, 0.0)
- : x);
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return ((SCM_REALPART (x) > (z = scm_big2dbl (y)))
- ? scm_makdbl (z, 0.0)
- : x);
- SCM_ASRTGO (SCM_REALP (y), bady);
-#else
- SCM_ASRTGO (SCM_NIMP (y) && SCM_REALP (y), bady);
-#endif
- return (SCM_REALPART (x) > SCM_REALPART (y)) ? y : x;
- }
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_BIGSIGN (y) ? y : x;
-#ifndef SCM_RECKLESS
- if (!(SCM_REALP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_min);
- }
-#endif
-#else
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_REALP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_min);
- }
-#endif
-#endif
- return (((z = SCM_INUM (x)) > SCM_REALPART (y))
- ? y
- : scm_makdbl (z, 0.0));
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_min);
- if (SCM_INUMP (y))
- return SCM_BIGSIGN (x) ? x : y;
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- return (-1 == scm_bigcomp (x, y)) ? y : x;
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_min);
- }
-#endif
- return SCM_BIGSIGN (y) ? y : x;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_min);
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_min);
-#endif
-#endif
- return ((long) x > (long) y) ? y : x;
-}
-
-
-
-
-SCM_PROC1 (s_sum, "+", scm_tc7_asubr, scm_sum);
-
-SCM
-scm_sum (x, y)
- SCM x;
- SCM y;
-{
- if (SCM_UNBNDP (y))
- {
- if (SCM_UNBNDP (x))
- return SCM_INUM0;
-#ifndef SCM_RECKLESS
- if (!(SCM_NUMBERP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_sum);
- }
-#endif
- return x;
- }
-#ifdef SCM_FLOATS
- if (SCM_NINUMP (x))
- {
- SCM t;
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (x), badx);
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- {
- t = x;
- x = y;
- y = t;
- goto intbig;
- }
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y))
- {
- t = x;
- x = y;
- y = t;
- }
- return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BIGSIGN (x),
- y, 0);
- }
- SCM_ASRTGO (SCM_INEXP (y), bady);
- bigreal:
- return scm_makdbl (scm_big2dbl (x) + SCM_REALPART (y),
- SCM_CPLXP (y) ? SCM_IMAG (y) : 0.0);
- }
- SCM_ASRTGO (SCM_INEXP (x), badx);
-#else
- SCM_ASRTGO (SCM_NIMP (x) && SCM_INEXP (x), badx);
-#endif
- if (SCM_INUMP (y))
- {
- t = x;
- x = y;
- y = t;
- goto intreal;
- }
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- t = x;
- x = y;
- y = t;
- goto bigreal;
- }
-#ifndef SCM_RECKLESS
- else if (!(SCM_INEXP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_sum);
- }
-#endif
-#else
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_INEXP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_sum);
- }
-#endif
-#endif
- {
- double i = 0.0;
- if (SCM_CPLXP (x))
- i = SCM_IMAG (x);
- if (SCM_CPLXP (y))
- i += SCM_IMAG (y);
- return scm_makdbl (SCM_REALPART (x) + SCM_REALPART (y), i);
- }
- }
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- intbig:
- {
-#ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong (SCM_INUM (x));
- return scm_addbig ((SCM_BIGDIG *) & z,
- SCM_DIGSPERLONG,
- (x < 0) ? 0x0100 : 0,
- y, 0);
-#else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (SCM_INUM (x), zdigs);
- return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0,
- y, 0);
-#endif
- }
- }
- SCM_ASRTGO (SCM_INEXP (y), bady);
-#else
- SCM_ASRTGO (SCM_NIMP (y) && SCM_INEXP (y), bady);
-#endif
- intreal:
- return scm_makdbl (SCM_INUM (x) + SCM_REALPART (y),
- SCM_CPLXP (y) ? SCM_IMAG (y) : 0.0);
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM t;
- SCM_ASRTGO (SCM_NIMP (x) && SCM_BIGP (x), badx);
- if (SCM_INUMP (y))
- {
- t = x;
- x = y;
- y = t;
- goto intbig;
- }
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y))
- {
- t = x;
- x = y;
- y = t;
- }
- return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), SCM_BIGSIGN (x),
- y, 0);
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_sum);
- }
-#endif
- intbig:
- {
-#ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong (SCM_INUM (x));
- return scm_addbig (&z, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, y, 0);
-#else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (SCM_INUM (x), zdigs);
- return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, y, 0);
-#endif
- }
- }
-#else
- SCM_ASRTGO (SCM_INUMP (x), badx);
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_sum);
-#endif
-#endif
- x = SCM_INUM (x) + SCM_INUM (y);
- if (SCM_FIXABLE (x))
- return SCM_MAKINUM (x);
-#ifdef SCM_BIGDIG
- return scm_long2big (x);
-#else
-#ifdef SCM_FLOATS
- return scm_makdbl ((double) x, 0.0);
-#else
- scm_num_overflow (s_sum);
- return SCM_UNSPECIFIED;
-#endif
-#endif
-}
-
-
-
-
-SCM_PROC1 (s_difference, "-", scm_tc7_asubr, scm_difference);
-
-SCM
-scm_difference (x, y)
- SCM x;
- SCM y;
-{
-#ifdef SCM_FLOATS
- if (SCM_NINUMP (x))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_difference);
- }
-#endif
- if (SCM_UNBNDP (y))
- {
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (x))
- {
- x = scm_copybig (x, !SCM_BIGSIGN (x));
- return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT
- <= sizeof (SCM)
- ? scm_big2inum (x, SCM_NUMDIGS (x))
- : x);
- }
-#endif
- SCM_ASRTGO (SCM_INEXP (x), badx);
- return scm_makdbl (- SCM_REALPART (x),
- SCM_CPLXP (x) ? -SCM_IMAG (x) : 0.0);
- }
- if (SCM_INUMP (y))
- return scm_sum (x, SCM_MAKINUM (- SCM_INUM (y)));
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (x))
- {
- if (SCM_BIGP (y))
- return ((SCM_NUMDIGS (x) < SCM_NUMDIGS (y))
- ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BIGSIGN (x),
- y, 0x0100)
- : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (y) ^ 0x0100,
- x, 0));
- SCM_ASRTGO (SCM_INEXP (y), bady);
- return scm_makdbl (scm_big2dbl (x) - SCM_REALPART (y),
- SCM_CPLXP (y) ? -SCM_IMAG (y) : 0.0);
- }
- SCM_ASRTGO (SCM_INEXP (x), badx);
- if (SCM_BIGP (y))
- return scm_makdbl (SCM_REALPART (x) - scm_big2dbl (y),
- SCM_CPLXP (x) ? SCM_IMAG (x) : 0.0);
- SCM_ASRTGO (SCM_INEXP (y), bady);
-#else
- SCM_ASRTGO (SCM_INEXP (x), badx);
- SCM_ASRTGO (SCM_NIMP (y) && SCM_INEXP (y), bady);
-#endif
- if (SCM_CPLXP (x))
- {
- if (SCM_CPLXP (y))
- return scm_makdbl (SCM_REAL (x) - SCM_REAL (y),
- SCM_IMAG (x) - SCM_IMAG (y));
- else
- return scm_makdbl (SCM_REAL (x) - SCM_REALPART (y), SCM_IMAG (x));
- }
- return scm_makdbl (SCM_REALPART (x) - SCM_REALPART (y),
- SCM_CPLXP (y) ? - SCM_IMAG (y) : 0.0);
- }
- if (SCM_UNBNDP (y))
- {
- x = -SCM_INUM (x);
- goto checkx;
- }
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
-#ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong (SCM_INUM (x));
- return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
- (x < 0) ? 0x0100 : 0,
- y, 0x0100);
-#else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (SCM_INUM (x), zdigs);
- return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0,
- y, 0x0100);
-#endif
- }
-#ifndef SCM_RECKLESS
- if (!(SCM_INEXP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_difference);
- }
-#endif
-#else
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_INEXP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_difference);
- }
-#endif
-#endif
- return scm_makdbl (SCM_INUM (x) - SCM_REALPART (y),
- SCM_CPLXP (y) ? -SCM_IMAG (y) : 0.0);
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_difference);
- if (SCM_UNBNDP (y))
- {
- x = scm_copybig (x, !SCM_BIGSIGN (x));
- return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT
- <= sizeof (SCM)
- ? scm_big2inum (x, SCM_NUMDIGS (x))
- : x);
- }
- if (SCM_INUMP (y))
- {
-#ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong (SCM_INUM (y));
- return scm_addbig (&z, SCM_DIGSPERLONG, (y < 0) ? 0 : 0x0100, x, 0);
-#else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (SCM_INUM (x), zdigs);
- return scm_addbig (zdigs, SCM_DIGSPERLONG, (y < 0) ? 0 : 0x0100,
- x, 0);
-#endif
- }
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- return (SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) ?
- scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), SCM_BIGSIGN (x),
- y, 0x0100) :
- scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), SCM_BIGSIGN (y) ^ 0x0100,
- x, 0);
- }
- if (SCM_UNBNDP (y))
- {
- x = -SCM_INUM (x);
- goto checkx;
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_difference);
- }
-#endif
- {
-#ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong (SCM_INUM (x));
- return scm_addbig (&z, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0,
- y, 0x0100);
-#else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (SCM_INUM (x), zdigs);
- return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0,
- y, 0x0100);
-#endif
- }
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_difference);
- if (SCM_UNBNDP (y))
- {
- x = -SCM_INUM (x);
- goto checkx;
- }
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_difference);
-#endif
-#endif
- x = SCM_INUM (x) - SCM_INUM (y);
- checkx:
- if (SCM_FIXABLE (x))
- return SCM_MAKINUM (x);
-#ifdef SCM_BIGDIG
- return scm_long2big (x);
-#else
-#ifdef SCM_FLOATS
- return scm_makdbl ((double) x, 0.0);
-#else
- scm_num_overflow (s_difference);
- return SCM_UNSPECIFIED;
-#endif
-#endif
-}
-
-
-
-
-SCM_PROC1 (s_product, "*", scm_tc7_asubr, scm_product);
-
-SCM
-scm_product (x, y)
- SCM x;
- SCM y;
-{
- if (SCM_UNBNDP (y))
- {
- if (SCM_UNBNDP (x))
- return SCM_MAKINUM (1L);
-#ifndef SCM_RECKLESS
- if (!(SCM_NUMBERP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_product);
- }
-#endif
- return x;
- }
-#ifdef SCM_FLOATS
- if (SCM_NINUMP (x))
- {
- SCM t;
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (x), badx);
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- {
- t = x;
- x = y;
- y = t;
- goto intbig;
- }
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y));
- SCM_ASRTGO (SCM_INEXP (y), bady);
- bigreal:
- {
- double bg = scm_big2dbl (x);
- return scm_makdbl (bg * SCM_REALPART (y),
- SCM_CPLXP (y) ? bg * SCM_IMAG (y) : 0.0);
- }
- }
- SCM_ASRTGO (SCM_INEXP (x), badx);
-#else
- SCM_ASRTGO (SCM_NIMP (x) && SCM_INEXP (x), badx);
-#endif
- if (SCM_INUMP (y))
- {
- t = x;
- x = y;
- y = t;
- goto intreal;
- }
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- t = x;
- x = y;
- y = t;
- goto bigreal;
- }
-#ifndef SCM_RECKLESS
- else if (!(SCM_INEXP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_product);
- }
-#endif
-#else
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_INEXP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_product);
- }
-#endif
-#endif
- if (SCM_CPLXP (x))
- {
- if (SCM_CPLXP (y))
- return scm_makdbl (SCM_REAL (x) * SCM_REAL (y)
- - SCM_IMAG (x) * SCM_IMAG (y),
- SCM_REAL (x) * SCM_IMAG (y)
- + SCM_IMAG (x) * SCM_REAL (y));
- else
- return scm_makdbl (SCM_REAL (x) * SCM_REALPART (y),
- SCM_IMAG (x) * SCM_REALPART (y));
- }
- return scm_makdbl (SCM_REALPART (x) * SCM_REALPART (y),
- SCM_CPLXP (y)
- ? SCM_REALPART (x) * SCM_IMAG (y)
- : 0.0);
- }
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- intbig:
- if (SCM_INUM0 == x)
- return x;
- if (SCM_MAKINUM (1L) == x)
- return y;
- {
-#ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong (SCM_INUM (x));
- return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (y) ? (x > 0) : (x < 0));
-#else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (SCM_INUM (x), zdigs);
- return scm_mulbig (zdigs, SCM_DIGSPERLONG,
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (y) ? (x > 0) : (x < 0));
-#endif
- }
- }
- SCM_ASRTGO (SCM_INEXP (y), bady);
-#else
- SCM_ASRTGO (SCM_NIMP (y) && SCM_INEXP (y), bady);
-#endif
- intreal:
- return scm_makdbl (SCM_INUM (x) * SCM_REALPART (y),
- SCM_CPLXP (y) ? SCM_INUM (x) * SCM_IMAG (y) : 0.0);
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_ASRTGO (SCM_NIMP (x) && SCM_BIGP (x), badx);
- if (SCM_INUMP (y))
- {
- SCM t = x;
- x = y;
- y = t;
- goto intbig;
- }
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y));
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_product);
- }
-#endif
- intbig:
- if (SCM_INUM0 == x)
- return x;
- if (SCM_MAKINUM (1L) == x)
- return y;
- {
-#ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong (SCM_INUM (x));
- return scm_mulbig (&z, SCM_DIGSPERLONG,
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (y) ? (x > 0) : (x < 0));
-#else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (SCM_INUM (x), zdigs);
- return scm_mulbig (zdigs, SCM_DIGSPERLONG,
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (y) ? (x > 0) : (x < 0));
-#endif
- }
- }
-#else
- SCM_ASRTGO (SCM_INUMP (x), badx);
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_product);
-#endif
-#endif
- {
- long i, j, k;
- i = SCM_INUM (x);
- if (0 == i)
- return x;
- j = SCM_INUM (y);
- k = i * j;
- y = SCM_MAKINUM (k);
- if (k != SCM_INUM (y) || k / i != j)
-#ifdef SCM_BIGDIG
- {
- int sgn = (i < 0) ^ (j < 0);
-#ifndef SCM_DIGSTOOBIG
- i = scm_pseudolong (i);
- j = scm_pseudolong (j);
- return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG,
- (SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn);
-#else /* SCM_DIGSTOOBIG */
- SCM_BIGDIG idigs[SCM_DIGSPERLONG];
- SCM_BIGDIG jdigs[SCM_DIGSPERLONG];
- scm_longdigs (i, idigs);
- scm_longdigs (j, jdigs);
- return scm_mulbig (idigs, SCM_DIGSPERLONG,
- jdigs, SCM_DIGSPERLONG,
- sgn);
-#endif
- }
-#else
-#ifdef SCM_FLOATS
- return scm_makdbl (((double) i) * ((double) j), 0.0);
-#else
- scm_num_overflow (s_product);
-#endif
-#endif
- return y;
- }
-}
-
-
-
-double
-scm_num2dbl (a, why)
- SCM a;
- const char *why;
-{
- if (SCM_INUMP (a))
- return (double) SCM_INUM (a);
-#ifdef SCM_FLOATS
- SCM_ASSERT (SCM_NIMP (a), a, "wrong type argument", why);
- if (SCM_REALP (a))
- return (SCM_REALPART (a));
-#endif
-#ifdef SCM_BIGDIG
- return scm_big2dbl (a);
-#endif
- SCM_ASSERT (0, a, "wrong type argument", why);
- return SCM_UNSPECIFIED;
-}
-
-
-SCM_PROC1 (s_divide, "/", scm_tc7_asubr, scm_divide);
-
-SCM
-scm_divide (x, y)
- SCM x;
- SCM y;
-{
-#ifdef SCM_FLOATS
- double d, r, i, a;
- if (SCM_NINUMP (x))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (x)))
- {
- badx:
- scm_wta (x, (char *) SCM_ARG1, s_divide);
- }
-#endif
- if (SCM_UNBNDP (y))
- {
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (x))
- return scm_makdbl (1.0 / scm_big2dbl (x), 0.0);
-#endif
- SCM_ASRTGO (SCM_INEXP (x), badx);
- if (SCM_REALP (x))
- return scm_makdbl (1.0 / SCM_REALPART (x), 0.0);
- r = SCM_REAL (x);
- i = SCM_IMAG (x);
- d = r * r + i * i;
- return scm_makdbl (r / d, -i / d);
- }
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (x))
- {
- SCM z;
- if (SCM_INUMP (y))
- {
- z = SCM_INUM (y);
-#ifndef SCM_RECKLESS
- if (!z)
- scm_num_overflow (s_divide);
-#endif
- if (1 == z)
- return x;
- if (z < 0)
- z = -z;
- if (z < SCM_BIGRAD)
- {
- SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0));
- return (scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w),
- (SCM_BIGDIG) z)
- ? scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0)
- : scm_normbig (w));
- }
-#ifndef SCM_DIGSTOOBIG
- z = scm_pseudolong (z);
- z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- (SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
- SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3);
-#else
- {
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (z, zdigs);
- z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- zdigs, SCM_DIGSPERLONG,
- SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3);
- }
-#endif
- return z ? z : scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0);
- }
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3);
- return z ? z : scm_makdbl (scm_big2dbl (x) / scm_big2dbl (y),
- 0.0);
- }
- SCM_ASRTGO (SCM_INEXP (y), bady);
- if (SCM_REALP (y))
- return scm_makdbl (scm_big2dbl (x) / SCM_REALPART (y), 0.0);
- a = scm_big2dbl (x);
- goto complex_div;
- }
-#endif
- SCM_ASRTGO (SCM_INEXP (x), badx);
- if (SCM_INUMP (y))
- {
- d = SCM_INUM (y);
- goto basic_div;
- }
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- d = scm_big2dbl (y);
- goto basic_div;
- }
- SCM_ASRTGO (SCM_INEXP (y), bady);
-#else
- SCM_ASRTGO (SCM_NIMP (y) && SCM_INEXP (y), bady);
-#endif
- if (SCM_REALP (y))
- {
- d = SCM_REALPART (y);
- basic_div:
- return scm_makdbl (SCM_REALPART (x) / d,
- SCM_CPLXP (x) ? SCM_IMAG (x) / d : 0.0);
- }
- a = SCM_REALPART (x);
- if (SCM_REALP (x))
- goto complex_div;
- r = SCM_REAL (y);
- i = SCM_IMAG (y);
- d = r * r + i * i;
- return scm_makdbl ((a * r + SCM_IMAG (x) * i) / d,
- (SCM_IMAG (x) * r - a * i) / d);
- }
- if (SCM_UNBNDP (y))
- {
- if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x))
- return x;
- return scm_makdbl (1.0 / ((double) SCM_INUM (x)), 0.0);
- }
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return scm_makdbl (SCM_INUM (x) / scm_big2dbl (y), 0.0);
-#ifndef SCM_RECKLESS
- if (!(SCM_INEXP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_divide);
- }
-#endif
-#else
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_INEXP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_divide);
- }
-#endif
-#endif
- if (SCM_REALP (y))
- return scm_makdbl (SCM_INUM (x) / SCM_REALPART (y), 0.0);
- a = SCM_INUM (x);
- complex_div:
- r = SCM_REAL (y);
- i = SCM_IMAG (y);
- d = r * r + i * i;
- return scm_makdbl ((a * r) / d, (-a * i) / d);
- }
-#else
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM z;
- SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_divide);
- if (SCM_UNBNDP (y))
- goto ov;
- if (SCM_INUMP (y))
- {
- z = SCM_INUM (y);
- if (!z)
- goto ov;
- if (1 == z)
- return x;
- if (z < 0)
- z = -z;
- if (z < SCM_BIGRAD)
- {
- SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0));
- if (scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w),
- (SCM_BIGDIG) z))
- goto ov;
- return w;
- }
-#ifndef SCM_DIGSTOOBIG
- z = scm_pseudolong (z);
- z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- &z, SCM_DIGSPERLONG,
- SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3);
-#else
- {
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (z, zdigs);
- z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- zdigs, SCM_DIGSPERLONG,
- SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3);
- }
-#endif
- }
- else
- {
- SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady);
- z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3);
- }
- if (!z)
- goto ov;
- return z;
- }
- if (SCM_UNBNDP (y))
- {
- if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x))
- return x;
- goto ov;
- }
- if (SCM_NINUMP (y))
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_NIMP (y) && SCM_BIGP (y)))
- {
- bady:
- scm_wta (y, (char *) SCM_ARG2, s_divide);
- }
-#endif
- goto ov;
- }
-#else
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_divide);
- if (SCM_UNBNDP (y))
- {
- if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x))
- return x;
- goto ov;
- }
- SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_divide);
-#endif
-#endif
- {
- long z = SCM_INUM (y);
- if ((0 == z) || SCM_INUM (x) % z)
- goto ov;
- z = SCM_INUM (x) / z;
- if (SCM_FIXABLE (z))
- return SCM_MAKINUM (z);
-#ifdef SCM_BIGDIG
- return scm_long2big (z);
-#endif
-#ifdef SCM_FLOATS
- ov:
- return scm_makdbl (((double) SCM_INUM (x)) / ((double) SCM_INUM (y)), 0.0);
-#else
- ov:
- scm_num_overflow (s_divide);
- return SCM_UNSPECIFIED;
-#endif
- }
-}
-
-
-
-
-#ifdef SCM_FLOATS
-SCM_PROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh);
-
-double
-scm_asinh (x)
- double x;
-{
- return log (x + sqrt (x * x + 1));
-}
-
-
-
-
-SCM_PROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh);
-
-double
-scm_acosh (x)
- double x;
-{
- return log (x + sqrt (x * x - 1));
-}
-
-
-
-
-SCM_PROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh);
-
-double
-scm_atanh (x)
- double x;
-{
- return 0.5 * log ((1 + x) / (1 - x));
-}
-
-
-
-
-SCM_PROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate);
-
-double
-scm_truncate (x)
- double x;
-{
- if (x < 0.0)
- return -floor (-x);
- return floor (x);
-}
-
-
-
-SCM_PROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round);
-
-double
-scm_round (x)
- double x;
-{
- double plus_half = x + 0.5;
- double result = floor (plus_half);
- /* Adjust so that the scm_round is towards even. */
- return (plus_half == result && plus_half / 2 != floor (plus_half / 2))
- ? result - 1 : result;
-}
-
-
-
-SCM_PROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact);
-
-double
-scm_exact_to_inexact (z)
- double z;
-{
- return z;
-}
-
-
-SCM_PROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor);
-SCM_PROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil);
-SCM_PROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt);
-SCM_PROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs);
-SCM_PROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp);
-SCM_PROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log);
-SCM_PROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin);
-SCM_PROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos);
-SCM_PROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan);
-SCM_PROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin);
-SCM_PROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos);
-SCM_PROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan);
-SCM_PROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh);
-SCM_PROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh);
-SCM_PROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh);
-
-struct dpair
-{
- double x, y;
-};
-
-static void scm_two_doubles (SCM z1,
- SCM z2,
- const char *sstring,
- struct dpair * xy);
-
-static void
-scm_two_doubles (z1, z2, sstring, xy)
- SCM z1, z2;
- const char *sstring;
- struct dpair *xy;
-{
- if (SCM_INUMP (z1))
- xy->x = SCM_INUM (z1);
- else
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z1), badz1);
- if (SCM_BIGP (z1))
- xy->x = scm_big2dbl (z1);
- else
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_REALP (z1)))
- badz1:scm_wta (z1, (char *) SCM_ARG1, sstring);
-#endif
- xy->x = SCM_REALPART (z1);
- }
-#else
- {
- SCM_ASSERT (SCM_NIMP (z1) && SCM_REALP (z1), z1, SCM_ARG1, sstring);
- xy->x = SCM_REALPART (z1);
- }
-#endif
- }
- if (SCM_INUMP (z2))
- xy->y = SCM_INUM (z2);
- else
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z2), badz2);
- if (SCM_BIGP (z2))
- xy->y = scm_big2dbl (z2);
- else
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_REALP (z2)))
- badz2:scm_wta (z2, (char *) SCM_ARG2, sstring);
-#endif
- xy->y = SCM_REALPART (z2);
- }
-#else
- {
- SCM_ASSERT (SCM_NIMP (z2) && SCM_REALP (z2), z2, SCM_ARG2, sstring);
- xy->y = SCM_REALPART (z2);
- }
-#endif
- }
-}
-
-
-
-
-SCM_PROC (s_sys_expt, "$expt", 2, 0, 0, scm_sys_expt);
-
-SCM
-scm_sys_expt (z1, z2)
- SCM z1;
- SCM z2;
-{
- struct dpair xy;
- scm_two_doubles (z1, z2, s_sys_expt, &xy);
- return scm_makdbl (pow (xy.x, xy.y), 0.0);
-}
-
-
-
-SCM_PROC (s_sys_atan2, "$atan2", 2, 0, 0, scm_sys_atan2);
-
-SCM
-scm_sys_atan2 (z1, z2)
- SCM z1;
- SCM z2;
-{
- struct dpair xy;
- scm_two_doubles (z1, z2, s_sys_atan2, &xy);
- return scm_makdbl (atan2 (xy.x, xy.y), 0.0);
-}
-
-
-
-SCM_PROC (s_make_rectangular, "make-rectangular", 2, 0, 0, scm_make_rectangular);
-
-SCM
-scm_make_rectangular (z1, z2)
- SCM z1;
- SCM z2;
-{
- struct dpair xy;
- scm_two_doubles (z1, z2, s_make_rectangular, &xy);
- return scm_makdbl (xy.x, xy.y);
-}
-
-
-
-SCM_PROC (s_make_polar, "make-polar", 2, 0, 0, scm_make_polar);
-
-SCM
-scm_make_polar (z1, z2)
- SCM z1;
- SCM z2;
-{
- struct dpair xy;
- scm_two_doubles (z1, z2, s_make_polar, &xy);
- return scm_makdbl (xy.x * cos (xy.y), xy.x * sin (xy.y));
-}
-
-
-
-
-SCM_PROC (s_real_part, "real-part", 1, 0, 0, scm_real_part);
-
-SCM
-scm_real_part (z)
- SCM z;
-{
- if (SCM_NINUMP (z))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
- return z;
-#ifndef SCM_RECKLESS
- if (!(SCM_INEXP (z)))
- {
- badz:
- scm_wta (z, (char *) SCM_ARG1, s_real_part);
- }
-#endif
-#else
- SCM_ASSERT (SCM_NIMP (z) && SCM_INEXP (z), z, SCM_ARG1, s_real_part);
-#endif
- if (SCM_CPLXP (z))
- return scm_makdbl (SCM_REAL (z), 0.0);
- }
- return z;
-}
-
-
-
-SCM_PROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part);
-
-SCM
-scm_imag_part (z)
- SCM z;
-{
- if (SCM_INUMP (z))
- return SCM_INUM0;
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
- return SCM_INUM0;
-#ifndef SCM_RECKLESS
- if (!(SCM_INEXP (z)))
- {
- badz:
- scm_wta (z, (char *) SCM_ARG1, s_imag_part);
- }
-#endif
-#else
- SCM_ASSERT (SCM_NIMP (z) && SCM_INEXP (z), z, SCM_ARG1, s_imag_part);
-#endif
- if (SCM_CPLXP (z))
- return scm_makdbl (SCM_IMAG (z), 0.0);
- return scm_flo0;
-}
-
-
-
-SCM_PROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude);
-
-SCM
-scm_magnitude (z)
- SCM z;
-{
- if (SCM_INUMP (z))
- return scm_abs (z);
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
- return scm_abs (z);
-#ifndef SCM_RECKLESS
- if (!(SCM_INEXP (z)))
- {
- badz:
- scm_wta (z, (char *) SCM_ARG1, s_magnitude);
- }
-#endif
-#else
- SCM_ASSERT (SCM_NIMP (z) && SCM_INEXP (z), z, SCM_ARG1, s_magnitude);
-#endif
- if (SCM_CPLXP (z))
- {
- double i = SCM_IMAG (z), r = SCM_REAL (z);
- return scm_makdbl (sqrt (i * i + r * r), 0.0);
- }
- return scm_makdbl (fabs (SCM_REALPART (z)), 0.0);
-}
-
-
-
-
-SCM_PROC (s_angle, "angle", 1, 0, 0, scm_angle);
-
-SCM
-scm_angle (z)
- SCM z;
-{
- double x, y = 0.0;
- if (SCM_INUMP (z))
- {
- x = (z >= SCM_INUM0) ? 1.0 : -1.0;
- goto do_angle;
- }
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
- {
- x = (SCM_TYP16 (z) == scm_tc16_bigpos) ? 1.0 : -1.0;
- goto do_angle;
- }
-#ifndef SCM_RECKLESS
- if (!(SCM_INEXP (z)))
- {
- badz:
- scm_wta (z, (char *) SCM_ARG1, s_angle);
- }
-#endif
-#else
- SCM_ASSERT (SCM_NIMP (z) && SCM_INEXP (z), z, SCM_ARG1, s_angle);
-#endif
- if (SCM_REALP (z))
- {
- x = SCM_REALPART (z);
- goto do_angle;
- }
- x = SCM_REAL (z);
- y = SCM_IMAG (z);
- do_angle:
- return scm_makdbl (atan2 (y, x), 0.0);
-}
-
-
-SCM_PROC (s_inexact_to_exact, "inexact->exact", 1, 0, 0, scm_inexact_to_exact);
-
-SCM
-scm_inexact_to_exact (z)
- SCM z;
-{
- if (SCM_INUMP (z))
- return z;
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
- return z;
-#ifndef SCM_RECKLESS
- if (!(SCM_REALP (z)))
- {
- badz:
- scm_wta (z, (char *) SCM_ARG1, s_inexact_to_exact);
- }
-#endif
-#else
- SCM_ASSERT (SCM_NIMP (z) && SCM_REALP (z), z, SCM_ARG1, s_inexact_to_exact);
-#endif
-#ifdef SCM_BIGDIG
- {
- double u = floor (SCM_REALPART (z) + 0.5);
- if ((u <= SCM_MOST_POSITIVE_FIXNUM) && (-u <= -SCM_MOST_NEGATIVE_FIXNUM))
- {
- /* Negation is a workaround for HP700 cc bug */
- SCM ans = SCM_MAKINUM ((long) u);
- if (SCM_INUM (ans) == (long) u)
- return ans;
- }
- SCM_ASRTGO (isfinite (u), badz); /* problem? */
- return scm_dbl2big (u);
- }
-#else
- return SCM_MAKINUM ((long) floor (SCM_REALPART (z) + 0.5));
-#endif
-}
-
-
-
-#else /* ~SCM_FLOATS */
-SCM_PROC (s_trunc, "truncate", 1, 0, 0, scm_trunc);
-
-SCM
-scm_trunc (x)
- SCM x;
-{
- SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_truncate);
- return x;
-}
-
-
-
-#endif /* SCM_FLOATS */
-
-#ifdef SCM_BIGDIG
-#ifdef SCM_FLOATS
-/* d must be integer */
-
-SCM
-scm_dbl2big (d)
- double d;
-{
- scm_sizet i = 0;
- long c;
- SCM_BIGDIG *digits;
- SCM ans;
- double u = (d < 0) ? -d : d;
- while (0 != floor (u))
- {
- u /= SCM_BIGRAD;
- i++;
- }
- ans = scm_mkbig (i, d < 0);
- digits = SCM_BDIGITS (ans);
- while (i--)
- {
- u *= SCM_BIGRAD;
- c = floor (u);
- u -= c;
- digits[i] = c;
- }
-#ifndef SCM_RECKLESS
- if (u != 0)
- scm_num_overflow ("dbl2big");
-#endif
- return ans;
-}
-
-
-
-double
-scm_big2dbl (b)
- SCM b;
-{
- double ans = 0.0;
- scm_sizet i = SCM_NUMDIGS (b);
- SCM_BIGDIG *digits = SCM_BDIGITS (b);
- while (i--)
- ans = digits[i] + SCM_BIGRAD * ans;
- if (scm_tc16_bigneg == SCM_TYP16 (b))
- return -ans;
- return ans;
-}
-#endif
-#endif
-
-
-SCM
-scm_long2num (sl)
- long sl;
-{
- if (!SCM_FIXABLE (sl))
- {
-#ifdef SCM_BIGDIG
- return scm_long2big (sl);
-#else
-#ifdef SCM_FLOATS
- return scm_makdbl ((double) sl, 0.0);
-#else
- return SCM_BOOL_F;
-#endif
-#endif
- }
- return SCM_MAKINUM (sl);
-}
-
-
-#ifdef LONGLONGS
-
-SCM
-scm_long_long2num (sl)
- long_long sl;
-{
- if (!SCM_FIXABLE (sl))
- {
-#ifdef SCM_BIGDIG
- return scm_long_long2big (sl);
-#else
-#ifdef SCM_FLOATS
- return scm_makdbl ((double) sl, 0.0);
-#else
- return SCM_BOOL_F;
-#endif
-#endif
- }
- return SCM_MAKINUM (sl);
-}
-#endif
-
-
-
-SCM
-scm_ulong2num (sl)
- unsigned long sl;
-{
- if (!SCM_POSFIXABLE (sl))
- {
-#ifdef SCM_BIGDIG
- return scm_ulong2big (sl);
-#else
-#ifdef SCM_FLOATS
- return scm_makdbl ((double) sl, 0.0);
-#else
- return SCM_BOOL_F;
-#endif
-#endif
- }
- return SCM_MAKINUM (sl);
-}
-
-
-long
-scm_num2long (num, pos, s_caller)
- SCM num;
- char *pos;
- const char *s_caller;
-{
- long res;
- if (SCM_INUMP (num))
- {
- res = SCM_INUM (num);
- return res;
- }
- SCM_ASRTGO (SCM_NIMP (num), errout);
-#ifdef SCM_FLOATS
- if (SCM_REALP (num))
- {
- double u = SCM_REALPART (num);
- res = u;
- if ((double) res == u)
- {
- return res;
- }
- }
-#endif
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (num))
- {
- long oldres;
- scm_sizet l;
- res = 0;
- oldres = 0;
- for (l = SCM_NUMDIGS (num); l--;)
- {
- res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l];
- if (res < oldres)
- goto errout;
- oldres = res;
- }
- if (SCM_TYP16 (num) == scm_tc16_bigpos)
- return res;
- else
- return -res;
- }
-#endif
- errout:
- scm_wta (num, pos, s_caller);
- return SCM_UNSPECIFIED;
-}
-
-
-
-#ifdef LONGLONGS
-
-long_long
-scm_num2long_long (num, pos, s_caller)
- SCM num;
- char *pos;
- const char *s_caller;
-{
- long_long res;
- if (SCM_INUMP (num))
- {
- res = SCM_INUM ((long_long) num);
- return res;
- }
- SCM_ASRTGO (SCM_NIMP (num), errout);
-#ifdef SCM_FLOATS
- if (SCM_REALP (num))
- {
- double u = SCM_REALPART (num);
- if (((SCM_MOST_NEGATIVE_FIXNUM * 4) <= u)
- && (u <= (SCM_MOST_POSITIVE_FIXNUM * 4 + 3)))
- {
- res = u;
- return res;
- }
- }
-#endif
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (num))
- {
- scm_sizet l = SCM_NUMDIGS (num);
- SCM_ASRTGO (SCM_DIGSPERLONGLONG >= l, errout);
- res = 0;
- for (; l--;)
- res = SCM_LONGLONGBIGUP (res) + SCM_BDIGITS (num)[l];
- return res;
- }
-#endif
- errout:
- scm_wta (num, pos, s_caller);
- return SCM_UNSPECIFIED;
-}
-#endif
-
-
-
-unsigned long
-scm_num2ulong (num, pos, s_caller)
- SCM num;
- char *pos;
- const char *s_caller;
-{
- unsigned long res;
- if (SCM_INUMP (num))
- {
- res = SCM_INUM ((unsigned long) num);
- return res;
- }
- SCM_ASRTGO (SCM_NIMP (num), errout);
-#ifdef SCM_FLOATS
- if (SCM_REALP (num))
- {
- double u = SCM_REALPART (num);
- if ((0 <= u) && (u <= (unsigned long) ~0L))
- {
- res = u;
- return res;
- }
- }
-#endif
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (num))
- {
- unsigned long oldres;
- scm_sizet l;
- res = 0;
- oldres = 0;
- for (l = SCM_NUMDIGS (num); l--;)
- {
- res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l];
- if (res < oldres)
- goto errout;
- oldres = res;
- }
- return res;
- }
-#endif
- errout:
- scm_wta (num, pos, s_caller);
- return SCM_UNSPECIFIED;
-}
-
-
-#ifdef SCM_FLOATS
-#ifndef DBL_DIG
-static void add1 SCM_P ((double f, double *fsum));
-static void
-add1 (f, fsum)
- double f, *fsum;
-{
- *fsum = f + 1.0;
-}
-#endif
-#endif
-
-
-
-void
-scm_init_numbers ()
-{
-#ifdef SCM_FLOATS
- scm_add_feature("inexact");
-#ifdef SCM_SINGLES
- SCM_NEWSMOB(scm_flo0,scm_tc_flo,NULL);
-#else
- SCM_NEWSMOB(scm_flo0,scm_tc_dblr,scm_must_malloc (1L * sizeof (double), "real"));
- SCM_REAL (scm_flo0) = 0.0;
-#endif
-#ifdef DBL_DIG
- scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG;
-#else
- { /* determine floating point precision */
- double f = 0.1;
- double fsum = 1.0 + f;
- while (fsum != 1.0)
- {
- f /= 10.0;
- if (++scm_dblprec > 20)
- break;
- add1 (f, &fsum);
- }
- scm_dblprec = scm_dblprec - 1;
- }
-#endif /* DBL_DIG */
-#endif
-#include "numbers.x"
-}
+/* Copyright (C) 1995,1996,1997,1998,1999,2000 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 */
+
+\f
+
+#include <math.h>
+#include "libguile/_scm.h"
+#include "libguile/feature.h"
+#include "libguile/ports.h"
+#include "libguile/root.h"
+#include "libguile/smob.h"
+#include "libguile/strings.h"
+
+#include "libguile/validate.h"
+#include "libguile/numbers.h"
+
+\f
+
+static SCM scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes);
+static SCM scm_divbigint (SCM x, long z, int sgn, int mode);
+
+
+#define DIGITS '0':case '1':case '2':case '3':case '4':\
+ case '5':case '6':case '7':case '8':case '9'
+
+
+#define SCM_SWAP(x,y) do { SCM __t = x; x = y; y = __t; } while (0)
+
+
+#if (SCM_DEBUG_DEPRECATED == 1) /* not defined in header yet? */
+
+/* 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)
+
+#endif /* SCM_DEBUG_DEPRECATED == 1 */
+
+
+/* IS_INF tests its floating point number for infiniteness
+ Dirk:FIXME:: This test does not work if x == 0
+ */
+#ifndef IS_INF
+#define IS_INF(x) ((x) == (x) / 2)
+#endif
+
+
+/* Return true if X is not infinite and is not a NaN
+ Dirk:FIXME:: Since IS_INF is broken, this test does not work if x == 0
+ */
+#ifndef isfinite
+#define isfinite(x) (!IS_INF (x) && (x) == (x))
+#endif
+
+\f
+
+static SCM abs_most_negative_fixnum;
+
+\f
+
+
+SCM_DEFINE (scm_exact_p, "exact?", 1, 0, 0,
+ (SCM x),
+ "Return @code{#t} if @var{x} is an exact number, @code{#f}\n"
+ "otherwise.")
+#define FUNC_NAME s_scm_exact_p
+{
+ if (SCM_INUMP (x)) {
+ return SCM_BOOL_T;
+ } else if (SCM_BIGP (x)) {
+ return SCM_BOOL_T;
+ } else {
+ return SCM_BOOL_F;
+ }
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE (scm_odd_p, "odd?", 1, 0, 0,
+ (SCM n),
+ "Return @code{#t} if @var{n} is an odd number, @code{#f}\n"
+ "otherwise.")
+#define FUNC_NAME s_scm_odd_p
+{
+ if (SCM_INUMP (n)) {
+ return SCM_BOOL ((4 & SCM_UNPACK (n)) != 0);
+ } else if (SCM_BIGP (n)) {
+ return SCM_BOOL ((1 & SCM_BDIGITS (n) [0]) != 0);
+ } else {
+ SCM_WRONG_TYPE_ARG (1, n);
+ }
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE (scm_even_p, "even?", 1, 0, 0,
+ (SCM n),
+ "Return @code{#t} if @var{n} is an even number, @code{#f}\n"
+ "otherwise.")
+#define FUNC_NAME s_scm_even_p
+{
+ if (SCM_INUMP (n)) {
+ return SCM_BOOL ((4 & SCM_UNPACK (n)) == 0);
+ } else if (SCM_BIGP (n)) {
+ return SCM_BOOL ((1 & SCM_BDIGITS (n) [0]) == 0);
+ } else {
+ SCM_WRONG_TYPE_ARG (1, n);
+ }
+}
+#undef FUNC_NAME
+
+
+SCM_GPROC (s_abs, "abs", 1, 0, 0, scm_abs, g_abs);
+/* "Return the absolute value of @var{x}."
+ */
+SCM
+scm_abs (SCM x)
+{
+ if (SCM_INUMP (x)) {
+ long int xx = SCM_INUM (x);
+ if (xx >= 0) {
+ return x;
+ } else if (SCM_POSFIXABLE (-xx)) {
+ return SCM_MAKINUM (-xx);
+ } else {
+#ifdef SCM_BIGDIG
+ return scm_long2big (-xx);
+#else
+ scm_num_overflow (s_abs);
+#endif
+ }
+ } else if (SCM_BIGP (x)) {
+ if (!SCM_BIGSIGN (x)) {
+ return x;
+ } else {
+ return scm_copybig (x, 0);
+ }
+ } else if (SCM_REALP (x)) {
+ return scm_make_real (fabs (SCM_REAL_VALUE (x)));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_abs, x, 1, s_abs);
+ }
+}
+
+
+SCM_GPROC (s_quotient, "quotient", 2, 0, 0, scm_quotient, g_quotient);
+/* "Return the quotient of the numbers @var{x} and @var{y}."
+ */
+SCM
+scm_quotient (SCM x, SCM y)
+{
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_quotient);
+ } else {
+ long z = xx / yy;
+ if (SCM_FIXABLE (z)) {
+ return SCM_MAKINUM (z);
+ } else {
+#ifdef SCM_BIGDIG
+ return scm_long2big (z);
+#else
+ scm_num_overflow (s_quotient);
+#endif
+ }
+ }
+ } else if (SCM_BIGP (y)) {
+ if (SCM_INUM (x) == SCM_MOST_NEGATIVE_FIXNUM
+ && scm_bigcomp (abs_most_negative_fixnum, y) == 0)
+ {
+ /* Special case: x == fixnum-min && y == abs (fixnum-min) */
+ return SCM_MAKINUM (-1);
+ }
+ else
+ return SCM_MAKINUM (0);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_quotient);
+ } else if (yy == 1) {
+ return x;
+ } else {
+ long z = yy < 0 ? -yy : yy;
+
+ if (z < SCM_BIGRAD) {
+ SCM sw = scm_copybig (x, SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0));
+ scm_divbigdig (SCM_BDIGITS (sw), SCM_NUMDIGS (sw), (SCM_BIGDIG) z);
+ return scm_normbig (sw);
+ } else {
+#ifndef SCM_DIGSTOOBIG
+ long w = scm_pseudolong (z);
+ return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ (SCM_BIGDIG *) & w, SCM_DIGSPERLONG,
+ SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 2);
+#else
+ SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
+ scm_longdigs (z, zdigs);
+ return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ zdigs, SCM_DIGSPERLONG,
+ SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 2);
+#endif
+ }
+ }
+ } else if (SCM_BIGP (y)) {
+ return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG1, s_quotient);
+ }
+}
+
+
+SCM_GPROC (s_remainder, "remainder", 2, 0, 0, scm_remainder, g_remainder);
+/* "Return the remainder of the numbers @var{x} and @var{y}.\n"
+ * "@lisp\n"
+ * "(remainder 13 4) @result{} 1\n"
+ * "(remainder -13 4) @result{} -1\n"
+ * "@end lisp"
+ */
+SCM
+scm_remainder (SCM x, SCM y)
+{
+ if (SCM_INUMP (x)) {
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_remainder);
+ } else {
+ long z = SCM_INUM (x) % yy;
+ return SCM_MAKINUM (z);
+ }
+ } else if (SCM_BIGP (y)) {
+ if (SCM_INUM (x) == SCM_MOST_NEGATIVE_FIXNUM
+ && scm_bigcomp (abs_most_negative_fixnum, y) == 0)
+ {
+ /* Special case: x == fixnum-min && y == abs (fixnum-min) */
+ return SCM_MAKINUM (0);
+ }
+ else
+ return x;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_remainder);
+ } else {
+ return scm_divbigint (x, yy, SCM_BIGSIGN (x), 0);
+ }
+ } else if (SCM_BIGP (y)) {
+ return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (x), 0);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG1, s_remainder);
+ }
+}
+
+
+SCM_GPROC (s_modulo, "modulo", 2, 0, 0, scm_modulo, g_modulo);
+/* "Return the modulo of the numbers @var{x} and @var{y}.\n"
+ * "@lisp\n"
+ * "(modulo 13 4) @result{} 1\n"
+ * "(modulo -13 4) @result{} 3\n"
+ * "@end lisp"
+ */
+SCM
+scm_modulo (SCM x, SCM y)
+{
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_modulo);
+ } else {
+ long z = xx % yy;
+ return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z);
+ }
+ } else if (SCM_BIGP (y)) {
+ return (SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)) ? scm_sum (x, y) : x;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_modulo);
+ } else {
+ return scm_divbigint (x, yy, yy < 0,
+ (SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)) ? 1 : 0);
+ }
+ } else if (SCM_BIGP (y)) {
+ return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (y),
+ (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG1, s_modulo);
+ }
+}
+
+
+SCM_GPROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd, g_gcd);
+/* "Return the greatest common divisor of all arguments.\n"
+ * "If called without arguments, 0 is returned."
+ */
+SCM
+scm_gcd (SCM x, SCM y)
+{
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ return SCM_INUM0;
+ } else {
+ return x;
+ }
+ }
+
+ tailrec:
+ if (SCM_INUMP (x)) {
+ if (SCM_INUMP (y)) {
+ long xx = SCM_INUM (x);
+ long yy = SCM_INUM (y);
+ long u = xx < 0 ? -xx : xx;
+ long v = yy < 0 ? -yy : yy;
+ long result;
+
+ if (xx == 0) {
+ result = v;
+ } else if (yy == 0) {
+ result = u;
+ } else {
+ int k = 1;
+ long t;
+
+ /* Determine a common factor 2^k */
+ while (!(1 & (u | v))) {
+ k <<= 1;
+ u >>= 1;
+ v >>= 1;
+ }
+
+ /* Now, any factor 2^n can be eliminated */
+ if (u & 1) {
+ t = -v;
+ } else {
+ t = u;
+ b3:
+ t = SCM_SRS (t, 1);
+ }
+ if (!(1 & t))
+ goto b3;
+ if (t > 0)
+ u = t;
+ else
+ v = -t;
+ t = u - v;
+ if (t != 0)
+ goto b3;
+
+ result = u * k;
+ }
+ if (SCM_POSFIXABLE (result)) {
+ return SCM_MAKINUM (result);
+ } else {
+#ifdef SCM_BIGDIG
+ return scm_long2big (result);
+#else
+ scm_num_overflow (s_gcd);
+#endif
+ }
+ } else if (SCM_BIGP (y)) {
+ SCM_SWAP (x, y);
+ goto big_gcd;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG2, s_gcd);
+ }
+ } else if (SCM_BIGP (x)) {
+ big_gcd:
+ if (SCM_BIGSIGN (x))
+ x = scm_copybig (x, 0);
+ newy:
+ if (SCM_INUMP (y)) {
+ if (SCM_EQ_P (y, SCM_INUM0)) {
+ return x;
+ } else {
+ goto swaprec;
+ }
+ } else if (SCM_BIGP (y)) {
+ if (SCM_BIGSIGN (y))
+ y = scm_copybig (y, 0);
+ switch (scm_bigcomp (x, y))
+ {
+ case -1: /* x > y */
+ swaprec:
+ {
+ SCM t = scm_remainder (x, y);
+ x = y;
+ y = t;
+ }
+ goto tailrec;
+ case 1: /* x < y */
+ y = scm_remainder (y, x);
+ goto newy;
+ default: /* x == y */
+ return x;
+ }
+ /* instead of the switch, we could just
+ return scm_gcd (y, scm_modulo (x, y)); */
+ } else {
+ SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG2, s_gcd);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG1, s_gcd);
+ }
+}
+
+
+SCM_GPROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm, g_lcm);
+/* "Return the least common multiple of the arguments.\n"
+ * "If called without arguments, 1 is returned."
+ */
+SCM
+scm_lcm (SCM n1, SCM n2)
+{
+ if (SCM_UNBNDP (n2)) {
+ if (SCM_UNBNDP (n1)) {
+ return SCM_MAKINUM (1L);
+ } else {
+ n2 = SCM_MAKINUM (1L);
+ }
+ };
+
+#ifndef SCM_BIGDIG
+ SCM_GASSERT2 (SCM_INUMP (n1), g_lcm, n1, n2, SCM_ARG1, s_lcm);
+ SCM_GASSERT2 (SCM_INUMP (n2), g_lcm, n1, n2, SCM_ARGn, s_lcm);
+#else
+ SCM_GASSERT2 (SCM_INUMP (n1) || SCM_BIGP (n1),
+ g_lcm, n1, n2, SCM_ARG1, s_lcm);
+ SCM_GASSERT2 (SCM_INUMP (n2) || SCM_BIGP (n2),
+ g_lcm, n1, n2, SCM_ARGn, s_lcm);
+#endif
+
+ {
+ SCM d = scm_gcd (n1, n2);
+ if (SCM_EQ_P (d, SCM_INUM0)) {
+ return d;
+ } else {
+ return scm_abs (scm_product (n1, scm_quotient (n2, d)));
+ }
+ }
+}
+
+
+#ifndef scm_long2num
+#define SCM_LOGOP_RETURN(x) scm_ulong2num(x)
+#else
+#define SCM_LOGOP_RETURN(x) SCM_MAKINUM(x)
+#endif
+
+
+/* Emulating 2's complement bignums with sign magnitude arithmetic:
+
+ Logand:
+ X Y Result Method:
+ (len)
+ + + + x (map digit:logand X Y)
+ + - + x (map digit:logand X (lognot (+ -1 Y)))
+ - + + y (map digit:logand (lognot (+ -1 X)) Y)
+ - - - (+ 1 (map digit:logior (+ -1 X) (+ -1 Y)))
+
+ Logior:
+ X Y Result Method:
+
+ + + + (map digit:logior X Y)
+ + - - y (+ 1 (map digit:logand (lognot X) (+ -1 Y)))
+ - + - x (+ 1 (map digit:logand (+ -1 X) (lognot Y)))
+ - - - x (+ 1 (map digit:logand (+ -1 X) (+ -1 Y)))
+
+ Logxor:
+ X Y Result Method:
+
+ + + + (map digit:logxor X Y)
+ + - - (+ 1 (map digit:logxor X (+ -1 Y)))
+ - + - (+ 1 (map digit:logxor (+ -1 X) Y))
+ - - + (map digit:logxor (+ -1 X) (+ -1 Y))
+
+ Logtest:
+ X Y Result
+
+ + + (any digit:logand X Y)
+ + - (any digit:logand X (lognot (+ -1 Y)))
+ - + (any digit:logand (lognot (+ -1 X)) Y)
+ - - #t
+
+*/
+
+#ifdef SCM_BIGDIG
+
+SCM scm_copy_big_dec(SCM b, int sign);
+SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn);
+SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy);
+SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy);
+SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn);
+SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy);
+
+SCM scm_copy_big_dec(SCM b, int sign)
+{
+ long num = -1;
+ scm_sizet nx = SCM_NUMDIGS(b);
+ scm_sizet i = 0;
+ SCM ans = scm_mkbig(nx, sign);
+ SCM_BIGDIG *src = SCM_BDIGITS(b), *dst = SCM_BDIGITS(ans);
+ if SCM_BIGSIGN(b) do {
+ num += src[i];
+ if (num < 0) {dst[i] = num + SCM_BIGRAD; num = -1;}
+ else {dst[i] = SCM_BIGLO(num); num = 0;}
+ } while (++i < nx);
+ else
+ while (nx--) dst[nx] = src[nx];
+ return ans;
+}
+
+SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn)
+{
+ long num = -1;
+ scm_sizet i = 0;
+ SCM z = scm_mkbig(nx, zsgn);
+ SCM_BIGDIG *zds = SCM_BDIGITS(z);
+ if (zsgn) do {
+ num += x[i];
+ if (num < 0) {zds[i] = num + SCM_BIGRAD; num = -1;}
+ else {zds[i] = SCM_BIGLO(num); num = 0;}
+ } while (++i < nx);
+ else do zds[i] = x[i]; while (++i < nx);
+ return z;
+}
+
+SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy)
+/* Assumes nx <= SCM_NUMDIGS(bigy) */
+/* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */
+{
+ long num = -1;
+ scm_sizet i = 0, ny = SCM_NUMDIGS(bigy);
+ SCM z = scm_copy_big_dec (bigy, xsgn & SCM_BIGSIGN (bigy));
+ SCM_BIGDIG *zds = SCM_BDIGITS(z);
+ if (xsgn) {
+ do {
+ num += x[i];
+ if (num < 0) {zds[i] |= num + SCM_BIGRAD; num = -1;}
+ else {zds[i] |= SCM_BIGLO(num); num = 0;}
+ } while (++i < nx);
+ /* ========= Need to increment zds now =========== */
+ i = 0; num = 1;
+ while (i < ny) {
+ num += zds[i];
+ zds[i++] = SCM_BIGLO(num);
+ num = SCM_BIGDN(num);
+ if (!num) return z;
+ }
+ scm_adjbig(z, 1 + ny); /* OOPS, overflowed into next digit. */
+ SCM_BDIGITS(z)[ny] = 1;
+ return z;
+ }
+ else do zds[i] = zds[i] | x[i]; while (++i < nx);
+ return z;
+}
+
+SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy)
+/* Assumes nx <= SCM_NUMDIGS(bigy) */
+/* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */
+{
+ long num = -1;
+ scm_sizet i = 0, ny = SCM_NUMDIGS(bigy);
+ SCM z = scm_copy_big_dec(bigy, xsgn ^ SCM_BIGSIGN(bigy));
+ SCM_BIGDIG *zds = SCM_BDIGITS(z);
+ if (xsgn) do {
+ num += x[i];
+ if (num < 0) {zds[i] ^= num + SCM_BIGRAD; num = -1;}
+ else {zds[i] ^= SCM_BIGLO(num); num = 0;}
+ } while (++i < nx);
+ else do {
+ zds[i] = zds[i] ^ x[i];
+ } while (++i < nx);
+
+ if (xsgn ^ SCM_BIGSIGN(bigy)) {
+ /* ========= Need to increment zds now =========== */
+ i = 0; num = 1;
+ while (i < ny) {
+ num += zds[i];
+ zds[i++] = SCM_BIGLO(num);
+ num = SCM_BIGDN(num);
+ if (!num) return scm_normbig(z);
+ }
+ }
+ return scm_normbig(z);
+}
+
+SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn)
+/* Assumes nx <= SCM_NUMDIGS(bigy) */
+/* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */
+/* return sign equals either 0 or SCM_BIGSIGNFLAG */
+{
+ long num = -1;
+ scm_sizet i = 0;
+ SCM z;
+ SCM_BIGDIG *zds;
+ if (xsgn==zsgn) {
+ z = scm_copy_smaller(x, nx, zsgn);
+ x = SCM_BDIGITS(bigy);
+ xsgn = SCM_BIGSIGN(bigy);
+ }
+ else z = scm_copy_big_dec(bigy, zsgn);
+ zds = SCM_BDIGITS(z);
+
+ if (zsgn) {
+ if (xsgn) do {
+ num += x[i];
+ if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;}
+ else {zds[i] &= SCM_BIGLO(num); num = 0;}
+ } while (++i < nx);
+ else do zds[i] = zds[i] & ~x[i]; while (++i < nx);
+ /* ========= need to increment zds now =========== */
+ i = 0; num = 1;
+ while (i < nx) {
+ num += zds[i];
+ zds[i++] = SCM_BIGLO(num);
+ num = SCM_BIGDN(num);
+ if (!num) return scm_normbig(z);
+ }
+ }
+ else if (xsgn) {
+ unsigned long int carry = 1;
+ do {
+ unsigned long int mask = (SCM_BIGDIG) ~x[i] + carry;
+ zds[i] = zds[i] & (SCM_BIGDIG) mask;
+ carry = (mask >= SCM_BIGRAD) ? 1 : 0;
+ } while (++i < nx);
+ } else do zds[i] = zds[i] & x[i]; while (++i < nx);
+ return scm_normbig(z);
+}
+
+SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy)
+/* Assumes nx <= SCM_NUMDIGS(bigy) */
+/* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */
+{
+ SCM_BIGDIG *y;
+ scm_sizet i = 0;
+ long num = -1;
+ if (SCM_BIGSIGN(bigy) & xsgn) return SCM_BOOL_T;
+ if (SCM_NUMDIGS(bigy) != nx && xsgn) return SCM_BOOL_T;
+ y = SCM_BDIGITS(bigy);
+ if (xsgn)
+ do {
+ num += x[i];
+ if (num < 0) {
+ if (y[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T;
+ num = -1;
+ }
+ else {
+ if (y[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T;
+ num = 0;
+ }
+ } while (++i < nx);
+ else if SCM_BIGSIGN(bigy)
+ do {
+ num += y[i];
+ if (num < 0) {
+ if (x[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T;
+ num = -1;
+ }
+ else {
+ if (x[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T;
+ num = 0;
+ }
+ } while (++i < nx);
+ else
+ do if (x[i] & y[i]) return SCM_BOOL_T;
+ while (++i < nx);
+ return SCM_BOOL_F;
+}
+
+#endif
+
+
+SCM_DEFINE1 (scm_logand, "logand", scm_tc7_asubr,
+ (SCM n1, SCM n2),
+ "Returns the integer which is the bit-wise AND of the two integer\n"
+ "arguments.\n\n"
+ "Example:\n"
+ "@lisp\n"
+ "(number->string (logand #b1100 #b1010) 2)\n"
+ " @result{} \"1000\"\n"
+ "@end lisp")
+#define FUNC_NAME s_scm_logand
+{
+ long int nn1;
+
+ if (SCM_UNBNDP (n2)) {
+ if (SCM_UNBNDP (n1)) {
+ return SCM_MAKINUM (-1);
+ } else if (!SCM_NUMBERP (n1)) {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+#ifndef SCM_RECKLESS
+ } else if (SCM_NUMBERP (n1)) {
+ return n1;
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+#else
+ } else {
+ return n1;
+#endif
+ }
+ }
+
+ if (SCM_INUMP (n1)) {
+ nn1 = SCM_INUM (n1);
+ if (SCM_INUMP (n2)) {
+ long nn2 = SCM_INUM (n2);
+ return SCM_MAKINUM (nn1 & nn2);
+ } else if SCM_BIGP (n2) {
+ intbig:
+ {
+# ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (nn1);
+ if ((nn1 < 0) && SCM_BIGSIGN (n2)) {
+ return scm_big_ior ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ SCM_BIGSIGNFLAG, n2);
+ } else {
+ return scm_big_and ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0);
+ }
+# else
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (nn1, zdigs);
+ if ((nn1 < 0) && SCM_BIGSIGN (n2)) {
+ return scm_big_ior (zdigs, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2);
+ } else {
+ return scm_big_and (zdigs, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0);
+ }
+# endif
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else if (SCM_BIGP (n1)) {
+ if (SCM_INUMP (n2)) {
+ SCM_SWAP (n1, n2);
+ nn1 = SCM_INUM (n1);
+ goto intbig;
+ } else if (SCM_BIGP (n2)) {
+ if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) {
+ SCM_SWAP (n1, n2);
+ };
+ if ((SCM_BIGSIGN (n1)) && SCM_BIGSIGN (n2)) {
+ return scm_big_ior (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGNFLAG, n2);
+ } else {
+ return scm_big_and (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGN (n1), n2, 0);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+ }
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE1 (scm_logior, "logior", scm_tc7_asubr,
+ (SCM n1, SCM n2),
+ "Returns the integer which is the bit-wise OR of the two integer\n"
+ "arguments.\n\n"
+ "Example:\n"
+ "@lisp\n"
+ "(number->string (logior #b1100 #b1010) 2)\n"
+ " @result{} \"1110\"\n"
+ "@end lisp")
+#define FUNC_NAME s_scm_logior
+{
+ long int nn1;
+
+ if (SCM_UNBNDP (n2)) {
+ if (SCM_UNBNDP (n1)) {
+ return SCM_INUM0;
+#ifndef SCM_RECKLESS
+ } else if (SCM_NUMBERP (n1)) {
+ return n1;
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+#else
+ } else {
+ return n1;
+#endif
+ }
+ }
+
+ if (SCM_INUMP (n1)) {
+ nn1 = SCM_INUM (n1);
+ if (SCM_INUMP (n2)) {
+ long nn2 = SCM_INUM (n2);
+ return SCM_MAKINUM (nn1 | nn2);
+ } else if (SCM_BIGP (n2)) {
+ intbig:
+ {
+# ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (nn1);
+ if ((!(nn1 < 0)) && !SCM_BIGSIGN (n2)) {
+ return scm_big_ior ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+ } else {
+ return scm_big_and ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG);
+ }
+# else
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (nn1, zdigs);
+ if ((!(nn1 < 0)) && !SCM_BIGSIGN (n2)) {
+ return scm_big_ior (zdigs, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+ } else {
+ return scm_big_and (zdigs, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG);
+ }
+# endif
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else if (SCM_BIGP (n1)) {
+ if (SCM_INUMP (n2)) {
+ SCM_SWAP (n1, n2);
+ nn1 = SCM_INUM (n1);
+ goto intbig;
+ } else if (SCM_BIGP (n2)) {
+ if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) {
+ SCM_SWAP (n1, n2);
+ };
+ if ((!SCM_BIGSIGN (n1)) && !SCM_BIGSIGN (n2)) {
+ return scm_big_ior (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGN (n1), n2);
+ } else {
+ return scm_big_and (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGN (n1), n2, SCM_BIGSIGNFLAG);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+ }
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE1 (scm_logxor, "logxor", scm_tc7_asubr,
+ (SCM n1, SCM n2),
+ "Returns the integer which is the bit-wise XOR of the two integer\n"
+ "arguments.\n\n"
+ "Example:\n"
+ "@lisp\n"
+ "(number->string (logxor #b1100 #b1010) 2)\n"
+ " @result{} \"110\"\n"
+ "@end lisp")
+#define FUNC_NAME s_scm_logxor
+{
+ long int nn1;
+
+ if (SCM_UNBNDP (n2)) {
+ if (SCM_UNBNDP (n1)) {
+ return SCM_INUM0;
+#ifndef SCM_RECKLESS
+ } else if (SCM_NUMBERP (n1)) {
+ return n1;
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+#else
+ } else {
+ return n1;
+#endif
+ }
+ }
+
+ if (SCM_INUMP (n1)) {
+ nn1 = SCM_INUM (n1);
+ if (SCM_INUMP (n2)) {
+ long nn2 = SCM_INUM (n2);
+ return SCM_MAKINUM (nn1 ^ nn2);
+ } else if (SCM_BIGP (n2)) {
+ intbig:
+ {
+# ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (nn1);
+ return scm_big_xor ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+# else
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (nn1, zdigs);
+ return scm_big_xor (zdigs, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+# endif
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else if (SCM_BIGP (n1)) {
+ if (SCM_INUMP (n2)) {
+ SCM_SWAP (n1, n2);
+ nn1 = SCM_INUM (n1);
+ goto intbig;
+ } else if (SCM_BIGP (n2)) {
+ if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {
+ SCM_SWAP (n1, n2);
+ }
+ return scm_big_xor (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGN (n1), n2);
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+ }
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE (scm_logtest, "logtest", 2, 0, 0,
+ (SCM n1, SCM n2),
+ "@example\n"
+ "(logtest j k) @equiv{} (not (zero? (logand j k)))\n\n"
+ "(logtest #b0100 #b1011) @result{} #f\n"
+ "(logtest #b0100 #b0111) @result{} #t\n"
+ "@end example")
+#define FUNC_NAME s_scm_logtest
+{
+ long int nn1;
+
+ if (SCM_INUMP (n1)) {
+ nn1 = SCM_INUM (n1);
+ if (SCM_INUMP (n2)) {
+ long nn2 = SCM_INUM (n2);
+ return SCM_BOOL (nn1 & nn2);
+ } else if (SCM_BIGP (n2)) {
+ intbig:
+ {
+# ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (nn1);
+ return scm_big_test ((SCM_BIGDIG *)&z, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+# else
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (nn1, zdigs);
+ return scm_big_test (zdigs, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+# endif
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else if (SCM_BIGP (n1)) {
+ if (SCM_INUMP (n2)) {
+ SCM_SWAP (n1, n2);
+ nn1 = SCM_INUM (n1);
+ goto intbig;
+ } else if (SCM_BIGP (n2)) {
+ if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) {
+ SCM_SWAP (n1, n2);
+ }
+ return scm_big_test (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGN (n1), n2);
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+ }
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE (scm_logbit_p, "logbit?", 2, 0, 0,
+ (SCM index, SCM j),
+ "@example\n"
+ "(logbit? index j) @equiv{} (logtest (integer-expt 2 index) j)\n\n"
+ "(logbit? 0 #b1101) @result{} #t\n"
+ "(logbit? 1 #b1101) @result{} #f\n"
+ "(logbit? 2 #b1101) @result{} #t\n"
+ "(logbit? 3 #b1101) @result{} #t\n"
+ "(logbit? 4 #b1101) @result{} #f\n"
+ "@end example")
+#define FUNC_NAME s_scm_logbit_p
+{
+ unsigned long int iindex;
+
+ SCM_VALIDATE_INUM_MIN (SCM_ARG1, index, 0);
+ iindex = (unsigned long int) SCM_INUM (index);
+
+ if (SCM_INUMP (j)) {
+ return SCM_BOOL ((1L << iindex) & SCM_INUM (j));
+ } else if (SCM_BIGP (j)) {
+ if (SCM_NUMDIGS (j) * SCM_BITSPERDIG < iindex) {
+ return SCM_BOOL_F;
+ } else if (SCM_BIGSIGN (j)) {
+ long num = -1;
+ scm_sizet i = 0;
+ SCM_BIGDIG * x = SCM_BDIGITS (j);
+ scm_sizet nx = iindex / SCM_BITSPERDIG;
+ while (1) {
+ num += x[i];
+ if (nx == i++) {
+ return SCM_BOOL (((1L << (iindex % SCM_BITSPERDIG)) & num) == 0);
+ } else if (num < 0) {
+ num = -1;
+ } else {
+ num = 0;
+ }
+ }
+ } else {
+ return SCM_BOOL (SCM_BDIGITS (j) [iindex / SCM_BITSPERDIG]
+ & (1L << (iindex % SCM_BITSPERDIG)));
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, j);
+ }
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE (scm_lognot, "lognot", 1, 0, 0,
+ (SCM n),
+ "Returns the integer which is the 2s-complement of the integer argument.\n\n"
+ "Example:\n"
+ "@lisp\n"
+ "(number->string (lognot #b10000000) 2)\n"
+ " @result{} \"-10000001\"\n"
+ "(number->string (lognot #b0) 2)\n"
+ " @result{} \"-1\"\n"
+ "@end lisp\n")
+#define FUNC_NAME s_scm_lognot
+{
+ return scm_difference (SCM_MAKINUM (-1L), n);
+}
+#undef FUNC_NAME
+
+SCM_DEFINE (scm_integer_expt, "integer-expt", 2, 0, 0,
+ (SCM n, SCM k),
+ "Returns @var{n} raised to the non-negative integer exponent @var{k}.\n\n"
+ "Example:\n"
+ "@lisp\n"
+ "(integer-expt 2 5)\n"
+ " @result{} 32\n"
+ "(integer-expt -3 3)\n"
+ " @result{} -27\n"
+ "@end lisp")
+#define FUNC_NAME s_scm_integer_expt
+{
+ SCM acc = SCM_MAKINUM (1L);
+ int i2;
+#ifdef SCM_BIGDIG
+ if (SCM_EQ_P (n, SCM_INUM0) || SCM_EQ_P (n, acc))
+ return n;
+ else if (SCM_EQ_P (n, SCM_MAKINUM (-1L)))
+ return SCM_FALSEP (scm_even_p (k)) ? n : acc;
+#endif
+ SCM_VALIDATE_ULONG_COPY (2,k,i2);
+ if (i2 < 0)
+ {
+ i2 = -i2;
+ n = scm_divide (n, SCM_UNDEFINED);
+ }
+ while (1)
+ {
+ if (0 == i2)
+ return acc;
+ if (1 == i2)
+ return scm_product (acc, n);
+ if (i2 & 1)
+ acc = scm_product (acc, n);
+ n = scm_product (n, n);
+ i2 >>= 1;
+ }
+}
+#undef FUNC_NAME
+
+SCM_DEFINE (scm_ash, "ash", 2, 0, 0,
+ (SCM n, SCM cnt),
+ "The function ash performs an arithmetic shift left by @var{CNT}\n"
+ "bits (or shift right, if @var{cnt} is negative).\n"
+ "'Arithmetic' means, that the function does not guarantee to\n"
+ "keep the bit structure of @var{n}, but rather guarantees that\n"
+ "the result will always be rounded towards minus infinity.\n"
+ "Therefore, the results of ash and a corresponding bitwise\n"
+ "shift will differ if N is negative.\n\n"
+ "Formally, the function returns an integer equivalent to\n"
+ "@code{(inexact->exact (floor (* @var{n} (expt 2 @var{cnt}))))}.\n\n"
+ "Example:\n"
+ "@lisp\n"
+ "(number->string (ash #b1 3) 2)\n"
+ " @result{} \"1000\"\n"
+ "(number->string (ash #b1010 -1) 2)\n"
+ " @result{} \"101\"\n"
+ "@end lisp")
+#define FUNC_NAME s_scm_ash
+{
+ long bits_to_shift;
+
+#ifndef SCM_BIGDIG
+ SCM_VALIDATE_INUM (1, n)
+#endif
+ SCM_VALIDATE_INUM (2, cnt);
+
+ bits_to_shift = SCM_INUM (cnt);
+#ifdef SCM_BIGDIG
+ if (bits_to_shift < 0) {
+ /* Shift right by abs(cnt) bits. This is realized as a division by
+ div:=2^abs(cnt). However, to guarantee the floor rounding, negative
+ values require some special treatment.
+ */
+ SCM div = scm_integer_expt (SCM_MAKINUM (2), SCM_MAKINUM (-bits_to_shift));
+ if (SCM_FALSEP (scm_negative_p (n)))
+ return scm_quotient (n, div);
+ else
+ return scm_sum (SCM_MAKINUM (-1L),
+ scm_quotient (scm_sum (SCM_MAKINUM (1L), n), div));
+ } else
+ /* Shift left is done by multiplication with 2^CNT */
+ return scm_product (n, scm_integer_expt (SCM_MAKINUM (2), cnt));
+#else
+ if (bits_to_shift < 0)
+ /* Signed right shift (SCM_SRS does it right) by abs(cnt) bits. */
+ return SCM_MAKINUM (SCM_SRS (SCM_INUM (n), -bits_to_shift));
+ else {
+ /* Shift left, but make sure not to leave the range of inums */
+ SCM res = SCM_MAKINUM (SCM_INUM (n) << cnt);
+ if (SCM_INUM (res) >> cnt != SCM_INUM (n))
+ scm_num_overflow (FUNC_NAME);
+ return res;
+ }
+#endif
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE (scm_bit_extract, "bit-extract", 3, 0, 0,
+ (SCM n, SCM start, SCM end),
+ "Returns the integer composed of the @var{start} (inclusive) through\n"
+ "@var{end} (exclusive) bits of @var{n}. The @var{start}th bit becomes\n"
+ "the 0-th bit in the result.@refill\n\n"
+ "Example:\n"
+ "@lisp\n"
+ "(number->string (bit-extract #b1101101010 0 4) 2)\n"
+ " @result{} \"1010\"\n"
+ "(number->string (bit-extract #b1101101010 4 9) 2)\n"
+ " @result{} \"10110\"\n"
+ "@end lisp")
+#define FUNC_NAME s_scm_bit_extract
+{
+ unsigned long int istart, iend;
+ SCM_VALIDATE_INUM_MIN_COPY (2,start,0,istart);
+ SCM_VALIDATE_INUM_MIN_COPY (3, end, 0, iend);
+ SCM_ASSERT_RANGE (3, end, (iend >= istart));
+
+ if (SCM_INUMP (n)) {
+ long int in = SCM_INUM (n);
+ unsigned long int bits = iend - istart;
+
+ if (in < 0 && bits >= SCM_FIXNUM_BIT)
+ {
+ /* Since we emulate two's complement encoded numbers, this special
+ * case requires us to produce a result that has more bits than can be
+ * stored in a fixnum. Thus, we fall back to the more general
+ * algorithm that is used for bignums.
+ */
+ goto generalcase;
+ }
+
+ if (istart < SCM_FIXNUM_BIT)
+ {
+ in = in >> istart;
+ if (bits < SCM_FIXNUM_BIT)
+ return SCM_MAKINUM (in & ((1L << bits) - 1));
+ else /* we know: in >= 0 */
+ return SCM_MAKINUM (in);
+ }
+ else if (in < 0)
+ {
+ return SCM_MAKINUM (-1L & ((1L << bits) - 1));
+ }
+ else
+ {
+ return SCM_MAKINUM (0);
+ }
+ } else if (SCM_BIGP (n)) {
+ generalcase:
+ {
+ SCM num1 = SCM_MAKINUM (1L);
+ SCM num2 = SCM_MAKINUM (2L);
+ SCM bits = SCM_MAKINUM (iend - istart);
+ SCM mask = scm_difference (scm_integer_expt (num2, bits), num1);
+ return scm_logand (mask, scm_ash (n, SCM_MAKINUM (-istart)));
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n);
+ }
+}
+#undef FUNC_NAME
+
+
+static const char scm_logtab[] = {
+ 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4
+};
+
+SCM_DEFINE (scm_logcount, "logcount", 1, 0, 0,
+ (SCM n),
+ "Returns the number of bits in integer @var{n}. If integer is positive,\n"
+ "the 1-bits in its binary representation are counted. If negative, the\n"
+ "0-bits in its two's-complement binary representation are counted. If 0,\n"
+ "0 is returned.\n\n"
+ "Example:\n"
+ "@lisp\n"
+ "(logcount #b10101010)\n"
+ " @result{} 4\n"
+ "(logcount 0)\n"
+ " @result{} 0\n"
+ "(logcount -2)\n"
+ " @result{} 1\n"
+ "@end lisp")
+#define FUNC_NAME s_scm_logcount
+{
+ if (SCM_INUMP (n)) {
+ unsigned long int c = 0;
+ long int nn = SCM_INUM (n);
+ if (nn < 0) {
+ nn = -1 - nn;
+ };
+ while (nn) {
+ c += scm_logtab[15 & nn];
+ nn >>= 4;
+ };
+ return SCM_MAKINUM (c);
+ } else if (SCM_BIGP (n)) {
+ if (SCM_BIGSIGN (n)) {
+ return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n));
+ } else {
+ unsigned long int c = 0;
+ scm_sizet i = SCM_NUMDIGS (n);
+ SCM_BIGDIG * ds = SCM_BDIGITS (n);
+ while (i--) {
+ SCM_BIGDIG d;
+ for (d = ds[i]; d; d >>= 4) {
+ c += scm_logtab[15 & d];
+ }
+ }
+ return SCM_MAKINUM (c);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n);
+ }
+}
+#undef FUNC_NAME
+
+
+static const char scm_ilentab[] = {
+ 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4
+};
+
+SCM_DEFINE (scm_integer_length, "integer-length", 1, 0, 0,
+ (SCM n),
+ "Returns the number of bits neccessary to represent @var{n}.\n\n"
+ "Example:\n"
+ "@lisp\n"
+ "(integer-length #b10101010)\n"
+ " @result{} 8\n"
+ "(integer-length 0)\n"
+ " @result{} 0\n"
+ "(integer-length #b1111)\n"
+ " @result{} 4\n"
+ "@end lisp")
+#define FUNC_NAME s_scm_integer_length
+{
+ if (SCM_INUMP (n)) {
+ unsigned long int c = 0;
+ unsigned int l = 4;
+ long int nn = SCM_INUM (n);
+ if (nn < 0) {
+ nn = -1 - nn;
+ };
+ while (nn) {
+ c += 4;
+ l = scm_ilentab [15 & nn];
+ nn >>= 4;
+ };
+ return SCM_MAKINUM (c - 4 + l);
+ } else if (SCM_BIGP (n)) {
+ if (SCM_BIGSIGN (n)) {
+ return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n));
+ } else {
+ unsigned long int digs = SCM_NUMDIGS (n) - 1;
+ unsigned long int c = digs * SCM_BITSPERDIG;
+ unsigned int l = 4;
+ SCM_BIGDIG * ds = SCM_BDIGITS (n);
+ SCM_BIGDIG d = ds [digs];
+ while (d) {
+ c += 4;
+ l = scm_ilentab [15 & d];
+ d >>= 4;
+ };
+ return SCM_MAKINUM (c - 4 + l);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n);
+ }
+}
+#undef FUNC_NAME
+
+
+#ifdef SCM_BIGDIG
+static const char s_bignum[] = "bignum";
+
+SCM
+scm_mkbig (scm_sizet nlen, int sign)
+{
+ SCM v;
+ /* Cast to long int to avoid signed/unsigned comparison warnings. */
+ if ((( ((long int) nlen) << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD)
+ != (long int) nlen)
+ scm_memory_error (s_bignum);
+
+ SCM_NEWCELL (v);
+ SCM_DEFER_INTS;
+ SCM_SET_BIGNUM_BASE (v, scm_must_malloc (nlen * sizeof (SCM_BIGDIG), s_bignum));
+ SCM_SETNUMDIGS (v, nlen, sign);
+ SCM_ALLOW_INTS;
+ return v;
+}
+
+
+SCM
+scm_big2inum (SCM b, scm_sizet l)
+{
+ unsigned long num = 0;
+ SCM_BIGDIG *tmp = SCM_BDIGITS (b);
+ while (l--)
+ num = SCM_BIGUP (num) + tmp[l];
+ if (!SCM_BIGSIGN (b))
+ {
+ if (SCM_POSFIXABLE (num))
+ return SCM_MAKINUM (num);
+ }
+ else if (num <= -SCM_MOST_NEGATIVE_FIXNUM)
+ return SCM_MAKINUM (-num);
+ return b;
+}
+
+
+static const char s_adjbig[] = "scm_adjbig";
+
+SCM
+scm_adjbig (SCM b, scm_sizet nlen)
+{
+ scm_sizet nsiz = nlen;
+ if (((nsiz << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) != nlen)
+ scm_memory_error (s_adjbig);
+
+ SCM_DEFER_INTS;
+ {
+ SCM_BIGDIG *digits
+ = ((SCM_BIGDIG *)
+ scm_must_realloc ((char *) SCM_BDIGITS (b),
+ (long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)),
+ (long) (nsiz * sizeof (SCM_BIGDIG)), s_bignum));
+
+ SCM_SET_BIGNUM_BASE (b, digits);
+ SCM_SETNUMDIGS (b, nsiz, SCM_BIGSIGN (b));
+ }
+ SCM_ALLOW_INTS;
+ return b;
+}
+
+
+
+SCM
+scm_normbig (SCM b)
+{
+#ifndef _UNICOS
+ scm_sizet nlen = SCM_NUMDIGS (b);
+#else
+ int nlen = SCM_NUMDIGS (b); /* unsigned nlen breaks on Cray when nlen => 0 */
+#endif
+ SCM_BIGDIG *zds = SCM_BDIGITS (b);
+ while (nlen-- && !zds[nlen]);
+ nlen++;
+ if (nlen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM))
+ if (SCM_INUMP (b = scm_big2inum (b, (scm_sizet) nlen)))
+ return b;
+ if (SCM_NUMDIGS (b) == nlen)
+ return b;
+ return scm_adjbig (b, (scm_sizet) nlen);
+}
+
+
+
+SCM
+scm_copybig (SCM b, int sign)
+{
+ scm_sizet i = SCM_NUMDIGS (b);
+ SCM ans = scm_mkbig (i, sign);
+ SCM_BIGDIG *src = SCM_BDIGITS (b), *dst = SCM_BDIGITS (ans);
+ while (i--)
+ dst[i] = src[i];
+ return ans;
+}
+
+
+
+SCM
+scm_long2big (long n)
+{
+ scm_sizet i = 0;
+ SCM_BIGDIG *digits;
+ SCM ans = scm_mkbig (SCM_DIGSPERLONG, n < 0);
+ digits = SCM_BDIGITS (ans);
+ if (n < 0)
+ n = -n;
+ while (i < SCM_DIGSPERLONG)
+ {
+ digits[i++] = SCM_BIGLO (n);
+ n = SCM_BIGDN ((unsigned long) n);
+ }
+ return ans;
+}
+
+#ifdef HAVE_LONG_LONGS
+
+SCM
+scm_long_long2big (long_long n)
+{
+ scm_sizet i;
+ SCM_BIGDIG *digits;
+ SCM ans;
+ int n_digits;
+
+ {
+ long tn;
+ tn = (long) n;
+ if ((long long) tn == n)
+ return scm_long2big (tn);
+ }
+
+ {
+ long_long tn;
+
+ for (tn = n, n_digits = 0;
+ tn;
+ ++n_digits, tn = SCM_BIGDN ((ulong_long) tn))
+ ;
+ }
+
+ i = 0;
+ ans = scm_mkbig (n_digits, n < 0);
+ digits = SCM_BDIGITS (ans);
+ if (n < 0)
+ n = -n;
+ while (i < n_digits)
+ {
+ digits[i++] = SCM_BIGLO (n);
+ n = SCM_BIGDN ((ulong_long) n);
+ }
+ return ans;
+}
+#endif /* HAVE_LONG_LONGS */
+
+
+SCM
+scm_2ulong2big (unsigned long *np)
+{
+ unsigned long n;
+ scm_sizet i;
+ SCM_BIGDIG *digits;
+ SCM ans;
+
+ ans = scm_mkbig (2 * SCM_DIGSPERLONG, 0);
+ digits = SCM_BDIGITS (ans);
+
+ n = np[0];
+ for (i = 0; i < SCM_DIGSPERLONG; ++i)
+ {
+ digits[i] = SCM_BIGLO (n);
+ n = SCM_BIGDN ((unsigned long) n);
+ }
+ n = np[1];
+ for (i = 0; i < SCM_DIGSPERLONG; ++i)
+ {
+ digits[i + SCM_DIGSPERLONG] = SCM_BIGLO (n);
+ n = SCM_BIGDN ((unsigned long) n);
+ }
+ return ans;
+}
+
+
+
+SCM
+scm_ulong2big (unsigned long n)
+{
+ scm_sizet i = 0;
+ SCM_BIGDIG *digits;
+ SCM ans = scm_mkbig (SCM_DIGSPERLONG, 0);
+ digits = SCM_BDIGITS (ans);
+ while (i < SCM_DIGSPERLONG)
+ {
+ digits[i++] = SCM_BIGLO (n);
+ n = SCM_BIGDN (n);
+ }
+ return ans;
+}
+
+
+
+int
+scm_bigcomp (SCM x, SCM y)
+{
+ int xsign = SCM_BIGSIGN (x);
+ int ysign = SCM_BIGSIGN (y);
+ scm_sizet xlen, ylen;
+
+ /* Look at the signs, first. */
+ if (ysign < xsign)
+ return 1;
+ if (ysign > xsign)
+ return -1;
+
+ /* They're the same sign, so see which one has more digits. Note
+ that, if they are negative, the longer number is the lesser. */
+ ylen = SCM_NUMDIGS (y);
+ xlen = SCM_NUMDIGS (x);
+ if (ylen > xlen)
+ return (xsign) ? -1 : 1;
+ if (ylen < xlen)
+ return (xsign) ? 1 : -1;
+
+ /* They have the same number of digits, so find the most significant
+ digit where they differ. */
+ while (xlen)
+ {
+ --xlen;
+ if (SCM_BDIGITS (y)[xlen] != SCM_BDIGITS (x)[xlen])
+ /* Make the discrimination based on the digit that differs. */
+ return ((SCM_BDIGITS (y)[xlen] > SCM_BDIGITS (x)[xlen])
+ ? (xsign ? -1 : 1)
+ : (xsign ? 1 : -1));
+ }
+
+ /* The numbers are identical. */
+ return 0;
+}
+
+#ifndef SCM_DIGSTOOBIG
+
+
+long
+scm_pseudolong (long x)
+{
+ union
+ {
+ long l;
+ SCM_BIGDIG bd[SCM_DIGSPERLONG];
+ }
+ p;
+ scm_sizet i = 0;
+ if (x < 0)
+ x = -x;
+ while (i < SCM_DIGSPERLONG)
+ {
+ p.bd[i++] = SCM_BIGLO (x);
+ x = SCM_BIGDN (x);
+ }
+ /* p.bd[0] = SCM_BIGLO(x); p.bd[1] = SCM_BIGDN(x); */
+ return p.l;
+}
+
+#else
+
+
+void
+scm_longdigs (long x, SCM_BIGDIG digs[])
+{
+ scm_sizet i = 0;
+ if (x < 0)
+ x = -x;
+ while (i < SCM_DIGSPERLONG)
+ {
+ digs[i++] = SCM_BIGLO (x);
+ x = SCM_BIGDN (x);
+ }
+}
+#endif
+
+
+
+SCM
+scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny)
+{
+ /* Assumes nx <= SCM_NUMDIGS(bigy) */
+ /* Assumes xsgn and sgny scm_equal either 0 or SCM_BIGSIGNFLAG */
+ long num = 0;
+ scm_sizet i = 0, ny = SCM_NUMDIGS (bigy);
+ SCM z = scm_copybig (bigy, SCM_BIGSIGN (bigy) ^ sgny);
+ SCM_BIGDIG *zds = SCM_BDIGITS (z);
+ if (xsgn ^ SCM_BIGSIGN (z))
+ {
+ do
+ {
+ num += (long) zds[i] - x[i];
+ if (num < 0)
+ {
+ zds[i] = num + SCM_BIGRAD;
+ num = -1;
+ }
+ else
+ {
+ zds[i] = SCM_BIGLO (num);
+ num = 0;
+ }
+ }
+ while (++i < nx);
+ if (num && nx == ny)
+ {
+ num = 1;
+ i = 0;
+ SCM_SET_CELL_WORD_0 (z, SCM_CELL_WORD_0 (z) ^ SCM_BIGSIGNFLAG);
+ do
+ {
+ num += (SCM_BIGRAD - 1) - zds[i];
+ zds[i++] = SCM_BIGLO (num);
+ num = SCM_BIGDN (num);
+ }
+ while (i < ny);
+ }
+ else
+ while (i < ny)
+ {
+ num += zds[i];
+ if (num < 0)
+ {
+ zds[i++] = num + SCM_BIGRAD;
+ num = -1;
+ }
+ else
+ {
+ zds[i++] = SCM_BIGLO (num);
+ num = 0;
+ }
+ }
+ }
+ else
+ {
+ do
+ {
+ num += (long) zds[i] + x[i];
+ zds[i++] = SCM_BIGLO (num);
+ num = SCM_BIGDN (num);
+ }
+ while (i < nx);
+ if (!num)
+ return z;
+ while (i < ny)
+ {
+ num += zds[i];
+ zds[i++] = SCM_BIGLO (num);
+ num = SCM_BIGDN (num);
+ if (!num)
+ return z;
+ }
+ if (num)
+ {
+ z = scm_adjbig (z, ny + 1);
+ SCM_BDIGITS (z)[ny] = num;
+ return z;
+ }
+ }
+ return scm_normbig (z);
+}
+
+
+SCM
+scm_mulbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn)
+{
+ scm_sizet i = 0, j = nx + ny;
+ unsigned long n = 0;
+ SCM z = scm_mkbig (j, sgn);
+ SCM_BIGDIG *zds = SCM_BDIGITS (z);
+ while (j--)
+ zds[j] = 0;
+ do
+ {
+ j = 0;
+ if (x[i])
+ {
+ do
+ {
+ n += zds[i + j] + ((unsigned long) x[i] * y[j]);
+ zds[i + j++] = SCM_BIGLO (n);
+ n = SCM_BIGDN (n);
+ }
+ while (j < ny);
+ if (n)
+ {
+ zds[i + j] = n;
+ n = 0;
+ }
+ }
+ }
+ while (++i < nx);
+ return scm_normbig (z);
+}
+
+
+unsigned int
+scm_divbigdig (SCM_BIGDIG * ds, scm_sizet h, SCM_BIGDIG div)
+{
+ register unsigned long t2 = 0;
+ while (h--)
+ {
+ t2 = SCM_BIGUP (t2) + ds[h];
+ ds[h] = t2 / div;
+ t2 %= div;
+ }
+ return t2;
+}
+
+
+
+static SCM
+scm_divbigint (SCM x, long z, int sgn, int mode)
+{
+ if (z < 0)
+ z = -z;
+ if (z < SCM_BIGRAD)
+ {
+ register unsigned long t2 = 0;
+ register SCM_BIGDIG *ds = SCM_BDIGITS (x);
+ scm_sizet nd = SCM_NUMDIGS (x);
+ while (nd--)
+ t2 = (SCM_BIGUP (t2) + ds[nd]) % z;
+ if (mode && t2)
+ t2 = z - t2;
+ return SCM_MAKINUM (sgn ? -t2 : t2);
+ }
+ {
+#ifndef SCM_DIGSTOOBIG
+ unsigned long t2 = scm_pseudolong (z);
+ return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ (SCM_BIGDIG *) & t2, SCM_DIGSPERLONG,
+ sgn, mode);
+#else
+ SCM_BIGDIG t2[SCM_DIGSPERLONG];
+ scm_longdigs (z, t2);
+ return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ t2, SCM_DIGSPERLONG,
+ sgn, mode);
+#endif
+ }
+}
+
+
+static SCM
+scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes)
+{
+ /* modes description
+ 0 remainder
+ 1 scm_modulo
+ 2 quotient
+ 3 quotient but returns SCM_UNDEFINED if division is not exact. */
+ scm_sizet i = 0, j = 0;
+ long num = 0;
+ unsigned long t2 = 0;
+ SCM z, newy;
+ SCM_BIGDIG d = 0, qhat, *zds, *yds;
+ /* algorithm requires nx >= ny */
+ if (nx < ny)
+ switch (modes)
+ {
+ case 0: /* remainder -- just return x */
+ z = scm_mkbig (nx, sgn);
+ zds = SCM_BDIGITS (z);
+ do
+ {
+ zds[i] = x[i];
+ }
+ while (++i < nx);
+ return z;
+ case 1: /* scm_modulo -- return y-x */
+ z = scm_mkbig (ny, sgn);
+ zds = SCM_BDIGITS (z);
+ do
+ {
+ num += (long) y[i] - x[i];
+ if (num < 0)
+ {
+ zds[i] = num + SCM_BIGRAD;
+ num = -1;
+ }
+ else
+ {
+ zds[i] = num;
+ num = 0;
+ }
+ }
+ while (++i < nx);
+ while (i < ny)
+ {
+ num += y[i];
+ if (num < 0)
+ {
+ zds[i++] = num + SCM_BIGRAD;
+ num = -1;
+ }
+ else
+ {
+ zds[i++] = num;
+ num = 0;
+ }
+ }
+ goto doadj;
+ case 2:
+ return SCM_INUM0; /* quotient is zero */
+ case 3:
+ return SCM_UNDEFINED; /* the division is not exact */
+ }
+
+ z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn);
+ zds = SCM_BDIGITS (z);
+ if (nx == ny)
+ zds[nx + 1] = 0;
+ while (!y[ny - 1])
+ ny--; /* in case y came in as a psuedolong */
+ if (y[ny - 1] < (SCM_BIGRAD >> 1))
+ { /* normalize operands */
+ d = SCM_BIGRAD / (y[ny - 1] + 1);
+ newy = scm_mkbig (ny, 0);
+ yds = SCM_BDIGITS (newy);
+ while (j < ny)
+ {
+ t2 += (unsigned long) y[j] * d;
+ yds[j++] = SCM_BIGLO (t2);
+ t2 = SCM_BIGDN (t2);
+ }
+ y = yds;
+ j = 0;
+ t2 = 0;
+ while (j < nx)
+ {
+ t2 += (unsigned long) x[j] * d;
+ zds[j++] = SCM_BIGLO (t2);
+ t2 = SCM_BIGDN (t2);
+ }
+ zds[j] = t2;
+ }
+ else
+ {
+ zds[j = nx] = 0;
+ while (j--)
+ zds[j] = x[j];
+ }
+ j = nx == ny ? nx + 1 : nx; /* dividend needs more digits than divisor */
+ do
+ { /* loop over digits of quotient */
+ if (zds[j] == y[ny - 1])
+ qhat = SCM_BIGRAD - 1;
+ else
+ qhat = (SCM_BIGUP (zds[j]) + zds[j - 1]) / y[ny - 1];
+ if (!qhat)
+ continue;
+ i = 0;
+ num = 0;
+ t2 = 0;
+ do
+ { /* multiply and subtract */
+ t2 += (unsigned long) y[i] * qhat;
+ num += zds[j - ny + i] - SCM_BIGLO (t2);
+ if (num < 0)
+ {
+ zds[j - ny + i] = num + SCM_BIGRAD;
+ num = -1;
+ }
+ else
+ {
+ zds[j - ny + i] = num;
+ num = 0;
+ }
+ t2 = SCM_BIGDN (t2);
+ }
+ while (++i < ny);
+ num += zds[j - ny + i] - t2; /* borrow from high digit; don't update */
+ while (num)
+ { /* "add back" required */
+ i = 0;
+ num = 0;
+ qhat--;
+ do
+ {
+ num += (long) zds[j - ny + i] + y[i];
+ zds[j - ny + i] = SCM_BIGLO (num);
+ num = SCM_BIGDN (num);
+ }
+ while (++i < ny);
+ num--;
+ }
+ if (modes & 2)
+ zds[j] = qhat;
+ }
+ while (--j >= ny);
+ switch (modes)
+ {
+ case 3: /* check that remainder==0 */
+ for (j = ny; j && !zds[j - 1]; --j);
+ if (j)
+ return SCM_UNDEFINED;
+ case 2: /* move quotient down in z */
+ j = (nx == ny ? nx + 2 : nx + 1) - ny;
+ for (i = 0; i < j; i++)
+ zds[i] = zds[i + ny];
+ ny = i;
+ break;
+ case 1: /* subtract for scm_modulo */
+ i = 0;
+ num = 0;
+ j = 0;
+ do
+ {
+ num += y[i] - zds[i];
+ j = j | zds[i];
+ if (num < 0)
+ {
+ zds[i] = num + SCM_BIGRAD;
+ num = -1;
+ }
+ else
+ {
+ zds[i] = num;
+ num = 0;
+ }
+ }
+ while (++i < ny);
+ if (!j)
+ return SCM_INUM0;
+ case 0: /* just normalize remainder */
+ if (d)
+ scm_divbigdig (zds, ny, d);
+ }
+ doadj:
+ for (j = ny; j && !zds[j - 1]; --j);
+ if (j * SCM_BITSPERDIG <= sizeof (SCM) * SCM_CHAR_BIT)
+ if (SCM_INUMP (z = scm_big2inum (z, j)))
+ return z;
+ return scm_adjbig (z, j);
+}
+#endif
+\f
+
+
+
+
+/*** NUMBERS -> STRINGS ***/
+int scm_dblprec;
+static const double fx[] =
+{ 0.0, 5e-1, 5e-2, 5e-3, 5e-4, 5e-5,
+ 5e-6, 5e-7, 5e-8, 5e-9, 5e-10,
+ 5e-11, 5e-12, 5e-13, 5e-14, 5e-15,
+ 5e-16, 5e-17, 5e-18, 5e-19, 5e-20};
+
+
+
+
+static scm_sizet
+idbl2str (double f, char *a)
+{
+ int efmt, dpt, d, i, wp = scm_dblprec;
+ scm_sizet ch = 0;
+ int exp = 0;
+
+ if (f == 0.0)
+ goto zero; /*{a[0]='0'; a[1]='.'; a[2]='0'; return 3;} */
+ if (f < 0.0)
+ {
+ f = -f;
+ a[ch++] = '-';
+ }
+ else if (f > 0.0);
+ else
+ goto funny;
+ if (IS_INF (f))
+ {
+ if (ch == 0)
+ a[ch++] = '+';
+ funny:
+ a[ch++] = '#';
+ a[ch++] = '.';
+ a[ch++] = '#';
+ return ch;
+ }
+#ifdef DBL_MIN_10_EXP /* Prevent unnormalized values, as from
+ make-uniform-vector, from causing infinite loops. */
+ while (f < 1.0)
+ {
+ f *= 10.0;
+ if (exp-- < DBL_MIN_10_EXP)
+ goto funny;
+ }
+ while (f > 10.0)
+ {
+ f *= 0.10;
+ if (exp++ > DBL_MAX_10_EXP)
+ goto funny;
+ }
+#else
+ while (f < 1.0)
+ {
+ f *= 10.0;
+ exp--;
+ }
+ while (f > 10.0)
+ {
+ f /= 10.0;
+ exp++;
+ }
+#endif
+ if (f + fx[wp] >= 10.0)
+ {
+ f = 1.0;
+ exp++;
+ }
+ zero:
+#ifdef ENGNOT
+ dpt = (exp + 9999) % 3;
+ exp -= dpt++;
+ efmt = 1;
+#else
+ efmt = (exp < -3) || (exp > wp + 2);
+ if (!efmt)
+ {
+ if (exp < 0)
+ {
+ a[ch++] = '0';
+ a[ch++] = '.';
+ dpt = exp;
+ while (++dpt)
+ a[ch++] = '0';
+ }
+ else
+ dpt = exp + 1;
+ }
+ else
+ dpt = 1;
+#endif
+
+ do
+ {
+ d = f;
+ f -= d;
+ a[ch++] = d + '0';
+ if (f < fx[wp])
+ break;
+ if (f + fx[wp] >= 1.0)
+ {
+ a[ch - 1]++;
+ break;
+ }
+ f *= 10.0;
+ if (!(--dpt))
+ a[ch++] = '.';
+ }
+ while (wp--);
+
+ if (dpt > 0)
+ {
+#ifndef ENGNOT
+ if ((dpt > 4) && (exp > 6))
+ {
+ d = (a[0] == '-' ? 2 : 1);
+ for (i = ch++; i > d; i--)
+ a[i] = a[i - 1];
+ a[d] = '.';
+ efmt = 1;
+ }
+ else
+#endif
+ {
+ while (--dpt)
+ a[ch++] = '0';
+ a[ch++] = '.';
+ }
+ }
+ if (a[ch - 1] == '.')
+ a[ch++] = '0'; /* trailing zero */
+ if (efmt && exp)
+ {
+ a[ch++] = 'e';
+ if (exp < 0)
+ {
+ exp = -exp;
+ a[ch++] = '-';
+ }
+ for (i = 10; i <= exp; i *= 10);
+ for (i /= 10; i; i /= 10)
+ {
+ a[ch++] = exp / i + '0';
+ exp %= i;
+ }
+ }
+ return ch;
+}
+
+
+static scm_sizet
+iflo2str (SCM flt, char *str)
+{
+ scm_sizet i;
+ if (SCM_SLOPPY_REALP (flt))
+ i = idbl2str (SCM_REAL_VALUE (flt), str);
+ else
+ {
+ i = idbl2str (SCM_COMPLEX_REAL (flt), str);
+ if (SCM_COMPLEX_IMAG (flt) != 0.0)
+ {
+ if (0 <= SCM_COMPLEX_IMAG (flt))
+ str[i++] = '+';
+ i += idbl2str (SCM_COMPLEX_IMAG (flt), &str[i]);
+ str[i++] = 'i';
+ }
+ }
+ return i;
+}
+
+/* convert a long to a string (unterminated). returns the number of
+ characters in the result.
+ rad is output base
+ p is destination: worst case (base 2) is SCM_INTBUFLEN */
+scm_sizet
+scm_iint2str (long num, int rad, char *p)
+{
+ scm_sizet j = 1;
+ scm_sizet i;
+ unsigned long n = (num < 0) ? -num : num;
+
+ for (n /= rad; n > 0; n /= rad)
+ j++;
+
+ i = j;
+ if (num < 0)
+ {
+ *p++ = '-';
+ j++;
+ n = -num;
+ }
+ else
+ n = num;
+ while (i--)
+ {
+ int d = n % rad;
+
+ n /= rad;
+ p[i] = d + ((d < 10) ? '0' : 'a' - 10);
+ }
+ return j;
+}
+
+
+#ifdef SCM_BIGDIG
+
+static SCM
+big2str (SCM b, unsigned int radix)
+{
+ SCM t = scm_copybig (b, 0); /* sign of temp doesn't matter */
+ register SCM_BIGDIG *ds = SCM_BDIGITS (t);
+ scm_sizet i = SCM_NUMDIGS (t);
+ scm_sizet j = radix == 16 ? (SCM_BITSPERDIG * i) / 4 + 2
+ : radix >= 10 ? (SCM_BITSPERDIG * i * 241L) / 800 + 2
+ : (SCM_BITSPERDIG * i) + 2;
+ scm_sizet k = 0;
+ scm_sizet radct = 0;
+ SCM_BIGDIG radpow = 1, radmod = 0;
+ SCM ss = scm_makstr ((long) j, 0);
+ char *s = SCM_STRING_CHARS (ss), c;
+ while ((long) radpow * radix < SCM_BIGRAD)
+ {
+ radpow *= radix;
+ radct++;
+ }
+ while ((i || radmod) && j)
+ {
+ if (k == 0)
+ {
+ radmod = (SCM_BIGDIG) scm_divbigdig (ds, i, radpow);
+ k = radct;
+ if (!ds[i - 1])
+ i--;
+ }
+ c = radmod % radix;
+ radmod /= radix;
+ k--;
+ s[--j] = c < 10 ? c + '0' : c + 'a' - 10;
+ }
+
+ if (SCM_BIGSIGN (b))
+ s[--j] = '-';
+
+ if (j > 0)
+ {
+ /* The pre-reserved string length was too large. */
+ unsigned long int length = SCM_STRING_LENGTH (ss);
+ ss = scm_substring (ss, SCM_MAKINUM (j), SCM_MAKINUM (length));
+ }
+
+ return scm_return_first (ss, t);
+}
+#endif
+
+
+SCM_DEFINE (scm_number_to_string, "number->string", 1, 1, 0,
+ (SCM n, SCM radix),
+ "Return a string holding the external representation of the\n"
+ "number @var{n} in the given @var{radix}. If @var{n} is\n"
+ "inexact, a radix of 10 will be used.")
+#define FUNC_NAME s_scm_number_to_string
+{
+ int base;
+
+ if (SCM_UNBNDP (radix)) {
+ base = 10;
+ } else {
+ SCM_VALIDATE_INUM (2, radix);
+ base = SCM_INUM (radix);
+ SCM_ASSERT_RANGE (2, radix, base >= 2);
+ }
+
+ if (SCM_INUMP (n)) {
+ char num_buf [SCM_INTBUFLEN];
+ scm_sizet length = scm_iint2str (SCM_INUM (n), base, num_buf);
+ return scm_makfromstr (num_buf, length, 0);
+ } else if (SCM_BIGP (n)) {
+ return big2str (n, (unsigned int) base);
+ } else if (SCM_INEXACTP (n)) {
+ char num_buf [SCM_FLOBUFLEN];
+ return scm_makfromstr (num_buf, iflo2str (n, num_buf), 0);
+ } else {
+ SCM_WRONG_TYPE_ARG (1, n);
+ }
+}
+#undef FUNC_NAME
+
+
+/* These print routines are stubbed here so that scm_repl.c doesn't need
+ SCM_BIGDIG conditionals */
+
+int
+scm_print_real (SCM sexp, SCM port, scm_print_state *pstate)
+{
+ char num_buf[SCM_FLOBUFLEN];
+ scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port);
+ return !0;
+}
+
+int
+scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate)
+{
+ char num_buf[SCM_FLOBUFLEN];
+ scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port);
+ return !0;
+}
+
+int
+scm_bigprint (SCM exp, SCM port, scm_print_state *pstate)
+{
+#ifdef SCM_BIGDIG
+ exp = big2str (exp, (unsigned int) 10);
+ scm_lfwrite (SCM_STRING_CHARS (exp), (scm_sizet) SCM_STRING_LENGTH (exp), port);
+#else
+ scm_ipruk ("bignum", exp, port);
+#endif
+ return !0;
+}
+/*** END nums->strs ***/
+
+/*** STRINGS -> NUMBERS ***/
+
+static SCM
+scm_small_istr2int (char *str, long len, long radix)
+{
+ register long n = 0, ln;
+ register int c;
+ register int i = 0;
+ int lead_neg = 0;
+ if (0 >= len)
+ return SCM_BOOL_F; /* zero scm_length */
+ switch (*str)
+ { /* leading sign */
+ case '-':
+ lead_neg = 1;
+ case '+':
+ if (++i == len)
+ return SCM_BOOL_F; /* bad if lone `+' or `-' */
+ }
+
+ do
+ {
+ switch (c = str[i++])
+ {
+ case DIGITS:
+ c = c - '0';
+ goto accumulate;
+ case 'A':
+ case 'B':
+ case 'C':
+ case 'D':
+ case 'E':
+ case 'F':
+ c = c - 'A' + 10;
+ goto accumulate;
+ case 'a':
+ case 'b':
+ case 'c':
+ case 'd':
+ case 'e':
+ case 'f':
+ c = c - 'a' + 10;
+ accumulate:
+ if (c >= radix)
+ return SCM_BOOL_F; /* bad digit for radix */
+ ln = n;
+ n = n * radix - c;
+ /* Negation is a workaround for HP700 cc bug */
+ if (n > ln || (-n > -SCM_MOST_NEGATIVE_FIXNUM))
+ goto ovfl;
+ break;
+ default:
+ return SCM_BOOL_F; /* not a digit */
+ }
+ }
+ while (i < len);
+ if (!lead_neg)
+ if ((n = -n) > SCM_MOST_POSITIVE_FIXNUM)
+ goto ovfl;
+ return SCM_MAKINUM (n);
+ ovfl: /* overflow scheme integer */
+ return SCM_BOOL_F;
+}
+
+
+
+SCM
+scm_istr2int (char *str, long len, long radix)
+{
+ scm_sizet j;
+ register scm_sizet k, blen = 1;
+ scm_sizet i = 0;
+ int c;
+ SCM res;
+ register SCM_BIGDIG *ds;
+ register unsigned long t2;
+
+ if (0 >= len)
+ return SCM_BOOL_F; /* zero scm_length */
+
+ /* Short numbers we parse directly into an int, to avoid the overhead
+ of creating a bignum. */
+ if (len < 6)
+ return scm_small_istr2int (str, len, radix);
+
+ if (16 == radix)
+ j = 1 + (4 * len * sizeof (char)) / (SCM_BITSPERDIG);
+ else if (10 <= radix)
+ j = 1 + (84 * len * sizeof (char)) / (SCM_BITSPERDIG * 25);
+ else
+ j = 1 + (len * sizeof (char)) / (SCM_BITSPERDIG);
+ switch (str[0])
+ { /* leading sign */
+ case '-':
+ case '+':
+ if (++i == (unsigned) len)
+ return SCM_BOOL_F; /* bad if lone `+' or `-' */
+ }
+ res = scm_mkbig (j, '-' == str[0]);
+ ds = SCM_BDIGITS (res);
+ for (k = j; k--;)
+ ds[k] = 0;
+ do
+ {
+ switch (c = str[i++])
+ {
+ case DIGITS:
+ c = c - '0';
+ goto accumulate;
+ case 'A':
+ case 'B':
+ case 'C':
+ case 'D':
+ case 'E':
+ case 'F':
+ c = c - 'A' + 10;
+ goto accumulate;
+ case 'a':
+ case 'b':
+ case 'c':
+ case 'd':
+ case 'e':
+ case 'f':
+ c = c - 'a' + 10;
+ accumulate:
+ if (c >= radix)
+ return SCM_BOOL_F; /* bad digit for radix */
+ k = 0;
+ t2 = c;
+ moretodo:
+ while (k < blen)
+ {
+/* printf ("k = %d, blen = %d, t2 = %ld, ds[k] = %d\n", k, blen, t2, ds[k]); */
+ t2 += ds[k] * radix;
+ ds[k++] = SCM_BIGLO (t2);
+ t2 = SCM_BIGDN (t2);
+ }
+ if (blen > j)
+ scm_num_overflow ("bignum");
+ if (t2)
+ {
+ blen++;
+ goto moretodo;
+ }
+ break;
+ default:
+ return SCM_BOOL_F; /* not a digit */
+ }
+ }
+ while (i < (unsigned) len);
+ if (blen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM))
+ if (SCM_INUMP (res = scm_big2inum (res, blen)))
+ return res;
+ if (j == blen)
+ return res;
+ return scm_adjbig (res, blen);
+}
+
+SCM
+scm_istr2flo (char *str, long len, long radix)
+{
+ register int c, i = 0;
+ double lead_sgn;
+ double res = 0.0, tmp = 0.0;
+ int flg = 0;
+ int point = 0;
+ SCM second;
+
+ if (i >= len)
+ return SCM_BOOL_F; /* zero scm_length */
+
+ switch (*str)
+ { /* leading sign */
+ case '-':
+ lead_sgn = -1.0;
+ i++;
+ break;
+ case '+':
+ lead_sgn = 1.0;
+ i++;
+ break;
+ default:
+ lead_sgn = 0.0;
+ }
+ if (i == len)
+ return SCM_BOOL_F; /* bad if lone `+' or `-' */
+
+ if (str[i] == 'i' || str[i] == 'I')
+ { /* handle `+i' and `-i' */
+ if (lead_sgn == 0.0)
+ return SCM_BOOL_F; /* must have leading sign */
+ if (++i < len)
+ return SCM_BOOL_F; /* `i' not last character */
+ return scm_make_complex (0.0, lead_sgn);
+ }
+ do
+ { /* check initial digits */
+ switch (c = str[i])
+ {
+ case DIGITS:
+ c = c - '0';
+ goto accum1;
+ case 'D':
+ case 'E':
+ case 'F':
+ if (radix == 10)
+ goto out1; /* must be exponent */
+ case 'A':
+ case 'B':
+ case 'C':
+ c = c - 'A' + 10;
+ goto accum1;
+ case 'd':
+ case 'e':
+ case 'f':
+ if (radix == 10)
+ goto out1;
+ case 'a':
+ case 'b':
+ case 'c':
+ c = c - 'a' + 10;
+ accum1:
+ if (c >= radix)
+ return SCM_BOOL_F; /* bad digit for radix */
+ res = res * radix + c;
+ flg = 1; /* res is valid */
+ break;
+ default:
+ goto out1;
+ }
+ }
+ while (++i < len);
+ out1:
+
+ /* if true, then we did see a digit above, and res is valid */
+ if (i == len)
+ goto done;
+
+ /* By here, must have seen a digit,
+ or must have next char be a `.' with radix==10 */
+ if (!flg)
+ if (!(str[i] == '.' && radix == 10))
+ return SCM_BOOL_F;
+
+ while (str[i] == '#')
+ { /* optional sharps */
+ res *= radix;
+ if (++i == len)
+ goto done;
+ }
+
+ if (str[i] == '/')
+ {
+ while (++i < len)
+ {
+ switch (c = str[i])
+ {
+ case DIGITS:
+ c = c - '0';
+ goto accum2;
+ case 'A':
+ case 'B':
+ case 'C':
+ case 'D':
+ case 'E':
+ case 'F':
+ c = c - 'A' + 10;
+ goto accum2;
+ case 'a':
+ case 'b':
+ case 'c':
+ case 'd':
+ case 'e':
+ case 'f':
+ c = c - 'a' + 10;
+ accum2:
+ if (c >= radix)
+ return SCM_BOOL_F;
+ tmp = tmp * radix + c;
+ break;
+ default:
+ goto out2;
+ }
+ }
+ out2:
+ if (tmp == 0.0)
+ return SCM_BOOL_F; /* `slash zero' not allowed */
+ if (i < len)
+ while (str[i] == '#')
+ { /* optional sharps */
+ tmp *= radix;
+ if (++i == len)
+ break;
+ }
+ res /= tmp;
+ goto done;
+ }
+
+ if (str[i] == '.')
+ { /* decimal point notation */
+ if (radix != 10)
+ return SCM_BOOL_F; /* must be radix 10 */
+ while (++i < len)
+ {
+ switch (c = str[i])
+ {
+ case DIGITS:
+ point--;
+ res = res * 10.0 + c - '0';
+ flg = 1;
+ break;
+ default:
+ goto out3;
+ }
+ }
+ out3:
+ if (!flg)
+ return SCM_BOOL_F; /* no digits before or after decimal point */
+ if (i == len)
+ goto adjust;
+ while (str[i] == '#')
+ { /* ignore remaining sharps */
+ if (++i == len)
+ goto adjust;
+ }
+ }
+
+ switch (str[i])
+ { /* exponent */
+ case 'd':
+ case 'D':
+ case 'e':
+ case 'E':
+ case 'f':
+ case 'F':
+ case 'l':
+ case 'L':
+ case 's':
+ case 'S':
+ {
+ int expsgn = 1, expon = 0;
+ if (radix != 10)
+ return SCM_BOOL_F; /* only in radix 10 */
+ if (++i == len)
+ return SCM_BOOL_F; /* bad exponent */
+ switch (str[i])
+ {
+ case '-':
+ expsgn = (-1);
+ case '+':
+ if (++i == len)
+ return SCM_BOOL_F; /* bad exponent */
+ }
+ if (str[i] < '0' || str[i] > '9')
+ return SCM_BOOL_F; /* bad exponent */
+ do
+ {
+ switch (c = str[i])
+ {
+ case DIGITS:
+ expon = expon * 10 + c - '0';
+ if (expon > SCM_MAXEXP)
+ scm_out_of_range ("string->number", SCM_MAKINUM (expon));
+ break;
+ default:
+ goto out4;
+ }
+ }
+ while (++i < len);
+ out4:
+ point += expsgn * expon;
+ }
+ }
+
+ adjust:
+ if (point >= 0)
+ while (point--)
+ res *= 10.0;
+ else
+#ifdef _UNICOS
+ while (point++)
+ res *= 0.1;
+#else
+ while (point++)
+ res /= 10.0;
+#endif
+
+ done:
+ /* at this point, we have a legitimate floating point result */
+ if (lead_sgn == -1.0)
+ res = -res;
+ if (i == len)
+ return scm_make_real (res);
+
+ if (str[i] == 'i' || str[i] == 'I')
+ { /* pure imaginary number */
+ if (lead_sgn == 0.0)
+ return SCM_BOOL_F; /* must have leading sign */
+ if (++i < len)
+ return SCM_BOOL_F; /* `i' not last character */
+ return scm_make_complex (0.0, res);
+ }
+
+ switch (str[i++])
+ {
+ case '-':
+ lead_sgn = -1.0;
+ break;
+ case '+':
+ lead_sgn = 1.0;
+ break;
+ case '@':
+ { /* polar input for complex number */
+ /* get a `real' for scm_angle */
+ second = scm_istr2flo (&str[i], (long) (len - i), radix);
+ if (!SCM_SLOPPY_INEXACTP (second))
+ return SCM_BOOL_F; /* not `real' */
+ if (SCM_SLOPPY_COMPLEXP (second))
+ return SCM_BOOL_F; /* not `real' */
+ tmp = SCM_REAL_VALUE (second);
+ return scm_make_complex (res * cos (tmp), res * sin (tmp));
+ }
+ default:
+ return SCM_BOOL_F;
+ }
+
+ /* at this point, last char must be `i' */
+ if (str[len - 1] != 'i' && str[len - 1] != 'I')
+ return SCM_BOOL_F;
+ /* handles `x+i' and `x-i' */
+ if (i == (len - 1))
+ return scm_make_complex (res, lead_sgn);
+ /* get a `ureal' for complex part */
+ second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix);
+ if (!SCM_INEXACTP (second))
+ return SCM_BOOL_F; /* not `ureal' */
+ if (SCM_SLOPPY_COMPLEXP (second))
+ return SCM_BOOL_F; /* not `ureal' */
+ tmp = SCM_REAL_VALUE (second);
+ if (tmp < 0.0)
+ return SCM_BOOL_F; /* not `ureal' */
+ return scm_make_complex (res, (lead_sgn * tmp));
+}
+
+
+
+SCM
+scm_istring2number (char *str, long len, long radix)
+{
+ int i = 0;
+ char ex = 0;
+ char ex_p = 0, rx_p = 0; /* Only allow 1 exactness and 1 radix prefix */
+ SCM res;
+ if (len == 1)
+ if (*str == '+' || *str == '-') /* Catches lone `+' and `-' for speed */
+ return SCM_BOOL_F;
+
+ while ((len - i) >= 2 && str[i] == '#' && ++i)
+ switch (str[i++])
+ {
+ case 'b':
+ case 'B':
+ if (rx_p++)
+ return SCM_BOOL_F;
+ radix = 2;
+ break;
+ case 'o':
+ case 'O':
+ if (rx_p++)
+ return SCM_BOOL_F;
+ radix = 8;
+ break;
+ case 'd':
+ case 'D':
+ if (rx_p++)
+ return SCM_BOOL_F;
+ radix = 10;
+ break;
+ case 'x':
+ case 'X':
+ if (rx_p++)
+ return SCM_BOOL_F;
+ radix = 16;
+ break;
+ case 'i':
+ case 'I':
+ if (ex_p++)
+ return SCM_BOOL_F;
+ ex = 2;
+ break;
+ case 'e':
+ case 'E':
+ if (ex_p++)
+ return SCM_BOOL_F;
+ ex = 1;
+ break;
+ default:
+ return SCM_BOOL_F;
+ }
+
+ switch (ex)
+ {
+ case 1:
+ return scm_istr2int (&str[i], len - i, radix);
+ case 0:
+ res = scm_istr2int (&str[i], len - i, radix);
+ if (SCM_NFALSEP (res))
+ return res;
+ case 2:
+ return scm_istr2flo (&str[i], len - i, radix);
+ }
+ return SCM_BOOL_F;
+}
+
+
+SCM_DEFINE (scm_string_to_number, "string->number", 1, 1, 0,
+ (SCM string, SCM radix),
+ "Returns a number of the maximally precise representation\n"
+ "expressed by the given @var{string}. @var{radix} must be an\n"
+ "exact integer, either 2, 8, 10, or 16. If supplied, @var{RADIX}\n"
+ "is a default radix that may be overridden by an explicit\n"
+ "radix prefix in @var{string} (e.g. \"#o177\"). If @var{radix}\n"
+ "is not supplied, then the default radix is 10. If string is\n"
+ "not a syntactically valid notation for a number, then\n"
+ "@code{string->number} returns @code{#f}. (r5rs)")
+#define FUNC_NAME s_scm_string_to_number
+{
+ SCM answer;
+ int base;
+ SCM_VALIDATE_STRING (1, string);
+ SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base);
+ answer = scm_istring2number (SCM_STRING_CHARS (string),
+ SCM_STRING_LENGTH (string),
+ base);
+ return scm_return_first (answer, string);
+}
+#undef FUNC_NAME
+/*** END strs->nums ***/
+
+
+SCM
+scm_make_real (double x)
+{
+ SCM z;
+ SCM_NEWCELL2 (z);
+ SCM_SET_CELL_TYPE (z, scm_tc16_real);
+ SCM_REAL_VALUE (z) = x;
+ return z;
+}
+
+
+SCM
+scm_make_complex (double x, double y)
+{
+ if (y == 0.0) {
+ return scm_make_real (x);
+ } else {
+ SCM z;
+ SCM_NEWSMOB (z, scm_tc16_complex, scm_must_malloc (2L * sizeof (double), "complex"));
+ SCM_COMPLEX_REAL (z) = x;
+ SCM_COMPLEX_IMAG (z) = y;
+ return z;
+ }
+}
+
+
+SCM
+scm_bigequal (SCM x, SCM y)
+{
+#ifdef SCM_BIGDIG
+ if (0 == scm_bigcomp (x, y))
+ return SCM_BOOL_T;
+#endif
+ return SCM_BOOL_F;
+}
+
+SCM
+scm_real_equalp (SCM x, SCM y)
+{
+ return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y));
+}
+
+SCM
+scm_complex_equalp (SCM x, SCM y)
+{
+ return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y)
+ && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y));
+}
+
+
+
+SCM_REGISTER_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p);
+/* "Return @code{#t} if @var{x} is a number, @code{#f}\n"
+ * "else. Note that the sets of complex, real, rational and\n"
+ * "integer values form subsets of the set of numbers, i. e. the\n"
+ * "predicate will be fulfilled for any number."
+ */
+SCM_DEFINE (scm_number_p, "complex?", 1, 0, 0,
+ (SCM x),
+ "Return @code{#t} if @var{x} is a complex number, @code{#f}\n"
+ "else. Note that the sets of real, rational and integer\n"
+ "values form subsets of the set of complex numbers, i. e. the\n"
+ "predicate will also be fulfilled if @var{x} is a real,\n"
+ "rational or integer number.")
+#define FUNC_NAME s_scm_number_p
+{
+ return SCM_BOOL (SCM_NUMBERP (x));
+}
+#undef FUNC_NAME
+
+
+SCM_REGISTER_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p);
+/* "Return @code{#t} if @var{x} is a real number, @code{#f} else.\n"
+ * "Note that the sets of integer and rational values form a subset\n"
+ * "of the set of real numbers, i. e. the predicate will also\n"
+ * "be fulfilled if @var{x} is an integer or a rational number."
+ */
+SCM_DEFINE (scm_real_p, "rational?", 1, 0, 0,
+ (SCM x),
+ "Return @code{#t} if @var{x} is a rational number, @code{#f}\n"
+ "else. Note that the set of integer values forms a subset of\n"
+ "the set of rational numbers, i. e. the predicate will also be\n"
+ "fulfilled if @var{x} is an integer number. Real numbers\n"
+ "will also satisfy this predicate, because of their limited\n"
+ "precision.")
+#define FUNC_NAME s_scm_real_p
+{
+ if (SCM_INUMP (x)) {
+ return SCM_BOOL_T;
+ } else if (SCM_IMP (x)) {
+ return SCM_BOOL_F;
+ } else if (SCM_SLOPPY_REALP (x)) {
+ return SCM_BOOL_T;
+ } else if (SCM_BIGP (x)) {
+ return SCM_BOOL_T;
+ } else {
+ return SCM_BOOL_F;
+ }
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE (scm_integer_p, "integer?", 1, 0, 0,
+ (SCM x),
+ "Return @code{#t} if @var{x} is an integer number, @code{#f}\n"
+ "else.")
+#define FUNC_NAME s_scm_integer_p
+{
+ double r;
+ if (SCM_INUMP (x))
+ return SCM_BOOL_T;
+ if (SCM_IMP (x))
+ return SCM_BOOL_F;
+ if (SCM_BIGP (x))
+ return SCM_BOOL_T;
+ if (!SCM_SLOPPY_INEXACTP (x))
+ return SCM_BOOL_F;
+ if (SCM_SLOPPY_COMPLEXP (x))
+ return SCM_BOOL_F;
+ r = SCM_REAL_VALUE (x);
+ if (r == floor (r))
+ return SCM_BOOL_T;
+ return SCM_BOOL_F;
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE (scm_inexact_p, "inexact?", 1, 0, 0,
+ (SCM x),
+ "Return @code{#t} if @var{x} is an inexact number, @code{#f}\n"
+ "else.")
+#define FUNC_NAME s_scm_inexact_p
+{
+ return SCM_BOOL (SCM_INEXACTP (x));
+}
+#undef FUNC_NAME
+
+
+SCM_GPROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p, g_eq_p);
+/* "Return @code{#t} if all parameters are numerically equal." */
+SCM
+scm_num_eq_p (SCM x, SCM y)
+{
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ return SCM_BOOL (xx == yy);
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL_F;
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL ((double) xx == SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return SCM_BOOL (((double) xx == SCM_COMPLEX_REAL (y))
+ && (0.0 == SCM_COMPLEX_IMAG (y)));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BOOL_F;
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL (0 == scm_bigcomp (x, y));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL (scm_big2dbl (x) == SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return SCM_BOOL ((scm_big2dbl (x) == SCM_COMPLEX_REAL (y))
+ && (0.0 == SCM_COMPLEX_IMAG (y)));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) == (double) SCM_INUM (y));
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) == scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return SCM_BOOL ((SCM_REAL_VALUE (x) == SCM_COMPLEX_REAL (y))
+ && (0.0 == SCM_COMPLEX_IMAG (y)));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p);
+ }
+ } else if (SCM_COMPLEXP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BOOL ((SCM_COMPLEX_REAL (x) == (double) SCM_INUM (y))
+ && (SCM_COMPLEX_IMAG (x) == 0.0));
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL ((SCM_COMPLEX_REAL (x) == scm_big2dbl (y))
+ && (SCM_COMPLEX_IMAG (x) == 0.0));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL ((SCM_COMPLEX_REAL (x) == SCM_REAL_VALUE (y))
+ && (SCM_COMPLEX_IMAG (x) == 0.0));
+ } else if (SCM_COMPLEXP (y)) {
+ return SCM_BOOL ((SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y))
+ && (SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARG1, s_eq_p);
+ }
+}
+
+
+SCM_GPROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p, g_less_p);
+/* "Return @code{#t} if the list of parameters is monotonically\n"
+ * "increasing."
+ */
+SCM
+scm_less_p (SCM x, SCM y)
+{
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ return SCM_BOOL (xx < yy);
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL (!SCM_BIGSIGN (y));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL ((double) xx < SCM_REAL_VALUE (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BOOL (SCM_BIGSIGN (x));
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL (1 == scm_bigcomp (x, y));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL (scm_big2dbl (x) < SCM_REAL_VALUE (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) < (double) SCM_INUM (y));
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) < scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARG1, s_less_p);
+ }
+}
+
+
+SCM_GPROC1 (s_scm_gr_p, ">", scm_tc7_rpsubr, scm_gr_p, g_gr_p);
+/* "Return @code{#t} if the list of parameters is monotonically\n"
+ * "decreasing."
+ */
+#define FUNC_NAME s_scm_gr_p
+SCM
+scm_gr_p (SCM x, SCM y)
+{
+ if (!SCM_NUMBERP (x))
+ SCM_WTA_DISPATCH_2 (g_gr_p, x, y, SCM_ARG1, FUNC_NAME);
+ else if (!SCM_NUMBERP (y))
+ SCM_WTA_DISPATCH_2 (g_gr_p, x, y, SCM_ARG2, FUNC_NAME);
+ else
+ return scm_less_p (y, x);
+}
+#undef FUNC_NAME
+
+
+SCM_GPROC1 (s_scm_leq_p, "<=", scm_tc7_rpsubr, scm_leq_p, g_leq_p);
+/* "Return @code{#t} if the list of parameters is monotonically\n"
+ * "non-decreasing."
+ */
+#define FUNC_NAME s_scm_leq_p
+SCM
+scm_leq_p (SCM x, SCM y)
+{
+ if (!SCM_NUMBERP (x))
+ SCM_WTA_DISPATCH_2 (g_leq_p, x, y, SCM_ARG1, FUNC_NAME);
+ else if (!SCM_NUMBERP (y))
+ SCM_WTA_DISPATCH_2 (g_leq_p, x, y, SCM_ARG2, FUNC_NAME);
+ else
+ return SCM_BOOL_NOT (scm_less_p (y, x));
+}
+#undef FUNC_NAME
+
+
+SCM_GPROC1 (s_scm_geq_p, ">=", scm_tc7_rpsubr, scm_geq_p, g_geq_p);
+/* "Return @code{#t} if the list of parameters is monotonically\n"
+ * "non-increasing."
+ */
+#define FUNC_NAME s_scm_geq_p
+SCM
+scm_geq_p (SCM x, SCM y)
+{
+ if (!SCM_NUMBERP (x))
+ SCM_WTA_DISPATCH_2 (g_geq_p, x, y, SCM_ARG1, FUNC_NAME);
+ else if (!SCM_NUMBERP (y))
+ SCM_WTA_DISPATCH_2 (g_geq_p, x, y, SCM_ARG2, FUNC_NAME);
+ else
+ return SCM_BOOL_NOT (scm_less_p (x, y));
+}
+#undef FUNC_NAME
+
+
+SCM_GPROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p, g_zero_p);
+/* "Return @code{#t} if @var{z} is an exact or inexact number equal to\n"
+ * "zero."
+ */
+SCM
+scm_zero_p (SCM z)
+{
+ if (SCM_INUMP (z)) {
+ return SCM_BOOL (SCM_EQ_P (z, SCM_INUM0));
+ } else if (SCM_BIGP (z)) {
+ return SCM_BOOL_F;
+ } else if (SCM_REALP (z)) {
+ return SCM_BOOL (SCM_REAL_VALUE (z) == 0.0);
+ } else if (SCM_COMPLEXP (z)) {
+ return SCM_BOOL (SCM_COMPLEX_REAL (z) == 0.0
+ && SCM_COMPLEX_IMAG (z) == 0.0);
+ } else {
+ SCM_WTA_DISPATCH_1 (g_zero_p, z, SCM_ARG1, s_zero_p);
+ }
+}
+
+
+SCM_GPROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p, g_positive_p);
+/* "Return @code{#t} if @var{x} is an exact or inexact number greater than\n"
+ * "zero."
+ */
+SCM
+scm_positive_p (SCM x)
+{
+ if (SCM_INUMP (x)) {
+ return SCM_BOOL (SCM_INUM (x) > 0);
+ } else if (SCM_BIGP (x)) {
+ return SCM_BOOL (!SCM_BIGSIGN (x));
+ } else if (SCM_REALP (x)) {
+ return SCM_BOOL(SCM_REAL_VALUE (x) > 0.0);
+ } else {
+ SCM_WTA_DISPATCH_1 (g_positive_p, x, SCM_ARG1, s_positive_p);
+ }
+}
+
+
+SCM_GPROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p, g_negative_p);
+/* "Return @code{#t} if @var{x} is an exact or inexact number less than\n"
+ * "zero."
+ */
+SCM
+scm_negative_p (SCM x)
+{
+ if (SCM_INUMP (x)) {
+ return SCM_BOOL (SCM_INUM (x) < 0);
+ } else if (SCM_BIGP (x)) {
+ return SCM_BOOL (SCM_BIGSIGN (x));
+ } else if (SCM_REALP (x)) {
+ return SCM_BOOL(SCM_REAL_VALUE (x) < 0.0);
+ } else {
+ SCM_WTA_DISPATCH_1 (g_negative_p, x, SCM_ARG1, s_negative_p);
+ }
+}
+
+
+SCM_GPROC1 (s_max, "max", scm_tc7_asubr, scm_max, g_max);
+/* "Return the maximum of all parameter values."
+ */
+SCM
+scm_max (SCM x, SCM y)
+{
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ SCM_WTA_DISPATCH_0 (g_max, x, SCM_ARG1, s_max);
+ } else if (SCM_NUMBERP (x)) {
+ return x;
+ } else {
+ SCM_WTA_DISPATCH_1 (g_max, x, SCM_ARG1, s_max);
+ }
+ }
+
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ return (xx < yy) ? y : x;
+ } else if (SCM_BIGP (y)) {
+ return SCM_BIGSIGN (y) ? x : y;
+ } else if (SCM_REALP (y)) {
+ double z = xx;
+ return (z <= SCM_REAL_VALUE (y)) ? y : scm_make_real (z);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BIGSIGN (x) ? y : x;
+ } else if (SCM_BIGP (y)) {
+ return (1 == scm_bigcomp (x, y)) ? y : x;
+ } else if (SCM_REALP (y)) {
+ double z = scm_big2dbl (x);
+ return (z <= SCM_REAL_VALUE (y)) ? y : scm_make_real (z);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ double z = SCM_INUM (y);
+ return (SCM_REAL_VALUE (x) < z) ? scm_make_real (z) : x;
+ } else if (SCM_BIGP (y)) {
+ double z = scm_big2dbl (y);
+ return (SCM_REAL_VALUE (x) < z) ? scm_make_real (z) : x;
+ } else if (SCM_REALP (y)) {
+ return (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)) ? y : x;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARG1, s_max);
+ }
+}
+
+
+SCM_GPROC1 (s_min, "min", scm_tc7_asubr, scm_min, g_min);
+/* "Return the minium of all parameter values."
+ */
+SCM
+scm_min (SCM x, SCM y)
+{
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ SCM_WTA_DISPATCH_0 (g_min, x, SCM_ARG1, s_min);
+ } else if (SCM_NUMBERP (x)) {
+ return x;
+ } else {
+ SCM_WTA_DISPATCH_1 (g_min, x, SCM_ARG1, s_min);
+ }
+ }
+
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ return (xx < yy) ? x : y;
+ } else if (SCM_BIGP (y)) {
+ return SCM_BIGSIGN (y) ? y : x;
+ } else if (SCM_REALP (y)) {
+ double z = xx;
+ return (z < SCM_REAL_VALUE (y)) ? scm_make_real (z) : y;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BIGSIGN (x) ? x : y;
+ } else if (SCM_BIGP (y)) {
+ return (-1 == scm_bigcomp (x, y)) ? y : x;
+ } else if (SCM_REALP (y)) {
+ double z = scm_big2dbl (x);
+ return (z < SCM_REAL_VALUE (y)) ? scm_make_real (z) : y;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ double z = SCM_INUM (y);
+ return (SCM_REAL_VALUE (x) <= z) ? x : scm_make_real (z);
+ } else if (SCM_BIGP (y)) {
+ double z = scm_big2dbl (y);
+ return (SCM_REAL_VALUE (x) <= z) ? x : scm_make_real (z);
+ } else if (SCM_REALP (y)) {
+ return (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)) ? x : y;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARG1, s_min);
+ }
+}
+
+
+SCM_GPROC1 (s_sum, "+", scm_tc7_asubr, scm_sum, g_sum);
+/* "Return the sum of all parameter values. Return 0 if called without\n"
+ * "any parameters."
+ */
+SCM
+scm_sum (SCM x, SCM y)
+{
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ return SCM_INUM0;
+ } else if (SCM_NUMBERP (x)) {
+ return x;
+ } else {
+ SCM_WTA_DISPATCH_1 (g_sum, x, SCM_ARG1, s_sum);
+ }
+ }
+
+ if (SCM_INUMP (x)) {
+ long int xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long int yy = SCM_INUM (y);
+ long int z = xx + yy;
+ if (SCM_FIXABLE (z)) {
+ return SCM_MAKINUM (z);
+ } else {
+#ifdef SCM_BIGDIG
+ return scm_long2big (z);
+#else /* SCM_BIGDIG */
+ return scm_make_real ((double) z);
+#endif /* SCM_BIGDIG */
+ }
+ } else if (SCM_BIGP (y)) {
+ intbig:
+ {
+ long int xx = SCM_INUM (x);
+#ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (xx);
+ return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, 0);
+#else /* SCM_DIGSTOOBIG */
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (xx, zdigs);
+ return scm_addbig (zdigs, SCM_DIGSPERLONG,
+ (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, 0);
+#endif /* SCM_DIGSTOOBIG */
+ }
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (xx + SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (xx + SCM_COMPLEX_REAL (y),
+ SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ SCM_SWAP (x, y);
+ goto intbig;
+ } else if (SCM_BIGP (y)) {
+ if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) {
+ SCM_SWAP (x, y);
+ }
+ return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BIGSIGN (x), y, 0);
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (scm_big2dbl (x) + SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (scm_big2dbl (x) + SCM_COMPLEX_REAL (y),
+ SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) + SCM_INUM (y));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) + scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) + SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_REAL_VALUE (x) + SCM_COMPLEX_REAL (y),
+ SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum);
+ }
+ } else if (SCM_COMPLEXP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_INUM (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) + scm_big2dbl (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_REALP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_REAL_VALUE (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_COMPLEX_REAL (y),
+ SCM_COMPLEX_IMAG (x) + SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARG1, s_sum);
+ }
+}
+
+
+SCM_GPROC1 (s_difference, "-", scm_tc7_asubr, scm_difference, g_difference);
+/* "If called without arguments, 0 is returned. Otherwise the sum of\n"
+ * "all but the first argument are subtracted from the first\n"
+ * "argument."
+ */
+SCM
+scm_difference (SCM x, SCM y)
+{
+ if (SCM_UNBNDP (y)) {
+ if (SCM_INUMP (x)) {
+ long xx = -SCM_INUM (x);
+ if (SCM_FIXABLE (xx)) {
+ return SCM_MAKINUM (xx);
+ } else {
+#ifdef SCM_BIGDIG
+ return scm_long2big (xx);
+#else
+ return scm_make_real ((double) xx);
+#endif
+ }
+ } else if (SCM_BIGP (x)) {
+ SCM z = scm_copybig (x, !SCM_BIGSIGN (x));
+ unsigned int digs = SCM_NUMDIGS (z);
+ unsigned int size = digs * SCM_BITSPERDIG / SCM_CHAR_BIT;
+ return size <= sizeof (SCM) ? scm_big2inum (z, digs) : z;
+ } else if (SCM_REALP (x)) {
+ return scm_make_real (-SCM_REAL_VALUE (x));
+ } else if (SCM_COMPLEXP (x)) {
+ return scm_make_complex (-SCM_COMPLEX_REAL (x), -SCM_COMPLEX_IMAG (x));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_difference, x, SCM_ARG1, s_difference);
+ }
+ }
+
+ if (SCM_INUMP (x)) {
+ long int xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long int yy = SCM_INUM (y);
+ long int z = xx - yy;
+ if (SCM_FIXABLE (z)) {
+ return SCM_MAKINUM (z);
+ } else {
+#ifdef SCM_BIGDIG
+ return scm_long2big (z);
+#else
+ return scm_make_real ((double) z);
+#endif
+ }
+ } else if (SCM_BIGP (y)) {
+#ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (xx);
+ return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, SCM_BIGSIGNFLAG);
+#else
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (xx, zdigs);
+ return scm_addbig (zdigs, SCM_DIGSPERLONG,
+ (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, SCM_BIGSIGNFLAG);
+#endif
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (xx - SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (xx - SCM_COMPLEX_REAL (y),
+ -SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ long int yy = SCM_INUM (y);
+#ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (yy);
+ return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (yy < 0) ? 0 : SCM_BIGSIGNFLAG, x, 0);
+#else
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (yy, zdigs);
+ return scm_addbig (zdigs, SCM_DIGSPERLONG,
+ (yy < 0) ? 0 : SCM_BIGSIGNFLAG, x, 0);
+#endif
+ } else if (SCM_BIGP (y)) {
+ return (SCM_NUMDIGS (x) < SCM_NUMDIGS (y))
+ ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BIGSIGN (x), y, SCM_BIGSIGNFLAG)
+ : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (y) ^ SCM_BIGSIGNFLAG, x, 0);
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (scm_big2dbl (x) - SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (scm_big2dbl (x) - SCM_COMPLEX_REAL (y),
+ - SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) - SCM_INUM (y));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) - scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) - SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_REAL_VALUE (x) - SCM_COMPLEX_REAL (y),
+ -SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference);
+ }
+ } else if (SCM_COMPLEXP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_INUM (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) - scm_big2dbl (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_REALP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_REAL_VALUE (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_COMPLEX_REAL (y),
+ SCM_COMPLEX_IMAG (x) - SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARG1, s_difference);
+ }
+}
+
+
+SCM_GPROC1 (s_product, "*", scm_tc7_asubr, scm_product, g_product);
+/* "Return the product of all arguments. If called without arguments,\n"
+ * "1 is returned."
+ */
+SCM
+scm_product (SCM x, SCM y)
+{
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ return SCM_MAKINUM (1L);
+ } else if (SCM_NUMBERP (x)) {
+ return x;
+ } else {
+ SCM_WTA_DISPATCH_1 (g_product, x, SCM_ARG1, s_product);
+ }
+ }
+
+ if (SCM_INUMP (x)) {
+ long xx;
+
+ intbig:
+ xx = SCM_INUM (x);
+
+ if (xx == 0) {
+ return x;
+ } else if (xx == 1) {
+ return y;
+ }
+
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ long kk = xx * yy;
+ SCM k = SCM_MAKINUM (kk);
+ if (kk != SCM_INUM (k) || kk / xx != yy) {
+#ifdef SCM_BIGDIG
+ int sgn = (xx < 0) ^ (yy < 0);
+#ifndef SCM_DIGSTOOBIG
+ long i = scm_pseudolong (xx);
+ long j = scm_pseudolong (yy);
+ return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG,
+ (SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn);
+#else /* SCM_DIGSTOOBIG */
+ SCM_BIGDIG xdigs [SCM_DIGSPERLONG];
+ SCM_BIGDIG ydigs [SCM_DIGSPERLONG];
+ scm_longdigs (xx, xdigs);
+ scm_longdigs (yy, ydigs);
+ return scm_mulbig (xdigs, SCM_DIGSPERLONG,
+ ydigs, SCM_DIGSPERLONG,
+ sgn);
+#endif
+#else
+ return scm_make_real (((double) xx) * ((double) yy));
+#endif
+ } else {
+ return k;
+ }
+ } else if (SCM_BIGP (y)) {
+#ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (xx);
+ return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0));
+#else
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (xx, zdigs);
+ return scm_mulbig (zdigs, SCM_DIGSPERLONG,
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0));
+#endif
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (xx * SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (xx * SCM_COMPLEX_REAL (y),
+ xx * SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ SCM_SWAP (x, y);
+ goto intbig;
+ } else if (SCM_BIGP (y)) {
+ return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (scm_big2dbl (x) * SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ double z = scm_big2dbl (x);
+ return scm_make_complex (z * SCM_COMPLEX_REAL (y),
+ z * SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_real (SCM_INUM (y) * SCM_REAL_VALUE (x));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_real (scm_big2dbl (y) * SCM_REAL_VALUE (x));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) * SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_REAL_VALUE (x) * SCM_COMPLEX_REAL (y),
+ SCM_REAL_VALUE (x) * SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product);
+ }
+ } else if (SCM_COMPLEXP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_complex (SCM_INUM (y) * SCM_COMPLEX_REAL (x),
+ SCM_INUM (y) * SCM_COMPLEX_IMAG (x));
+ } else if (SCM_BIGP (y)) {
+ double z = scm_big2dbl (y);
+ return scm_make_complex (z * SCM_COMPLEX_REAL (x),
+ z * SCM_COMPLEX_IMAG (x));
+ } else if (SCM_REALP (y)) {
+ return scm_make_complex (SCM_REAL_VALUE (y) * SCM_COMPLEX_REAL (x),
+ SCM_REAL_VALUE (y) * SCM_COMPLEX_IMAG (x));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) * SCM_COMPLEX_REAL (y)
+ - SCM_COMPLEX_IMAG (x) * SCM_COMPLEX_IMAG (y),
+ SCM_COMPLEX_REAL (x) * SCM_COMPLEX_IMAG (y)
+ + SCM_COMPLEX_IMAG (x) * SCM_COMPLEX_REAL (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARG1, s_product);
+ }
+}
+
+
+double
+scm_num2dbl (SCM a, const char *why)
+#define FUNC_NAME why
+{
+ if (SCM_INUMP (a)) {
+ return (double) SCM_INUM (a);
+ } else if (SCM_BIGP (a)) {
+ return scm_big2dbl (a);
+ } else if (SCM_REALP (a)) {
+ return (SCM_REAL_VALUE (a));
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARGn, a);
+ }
+}
+#undef FUNC_NAME
+
+
+SCM_GPROC1 (s_divide, "/", scm_tc7_asubr, scm_divide, g_divide);
+/* "Divide the first argument by the product of the remaining arguments."
+ */
+SCM
+scm_divide (SCM x, SCM y)
+{
+ double a;
+
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ SCM_WTA_DISPATCH_0 (g_divide, x, SCM_ARG1, s_divide);
+ } else if (SCM_INUMP (x)) {
+ if (SCM_EQ_P (x, SCM_MAKINUM (1L)) || SCM_EQ_P (x, SCM_MAKINUM (-1L))) {
+ return x;
+ } else {
+ return scm_make_real (1.0 / (double) SCM_INUM (x));
+ }
+ } else if (SCM_BIGP (x)) {
+ return scm_make_real (1.0 / scm_big2dbl (x));
+ } else if (SCM_REALP (x)) {
+ return scm_make_real (1.0 / SCM_REAL_VALUE (x));
+ } else if (SCM_COMPLEXP (x)) {
+ double r = SCM_COMPLEX_REAL (x);
+ double i = SCM_COMPLEX_IMAG (x);
+ double d = r * r + i * i;
+ return scm_make_complex (r / d, -i / d);
+ } else {
+ SCM_WTA_DISPATCH_1 (g_divide, x, SCM_ARG1, s_divide);
+ }
+ }
+
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_divide);
+ } else if (xx % yy != 0) {
+ return scm_make_real ((double) xx / (double) yy);
+ } else {
+ long z = xx / yy;
+ if (SCM_FIXABLE (z)) {
+ return SCM_MAKINUM (z);
+ } else {
+#ifdef SCM_BIGDIG
+ return scm_long2big (z);
+#else
+ return scm_make_real ((double) xx / (double) yy);
+#endif
+ }
+ }
+ } else if (SCM_BIGP (y)) {
+ return scm_make_real ((double) xx / scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real ((double) xx / SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ a = xx;
+ complex_div: /* y _must_ be a complex number */
+ {
+ double r = SCM_COMPLEX_REAL (y);
+ double i = SCM_COMPLEX_IMAG (y);
+ double d = r * r + i * i;
+ return scm_make_complex ((a * r) / d, (-a * i) / d);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ long int yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_divide);
+ } else if (yy == 1) {
+ return x;
+ } else {
+ long z = yy < 0 ? -yy : yy;
+ if (z < SCM_BIGRAD) {
+ SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0));
+ return scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w),
+ (SCM_BIGDIG) z)
+ ? scm_make_real (scm_big2dbl (x) / (double) yy)
+ : scm_normbig (w);
+ } else {
+ SCM w;
+#ifndef SCM_DIGSTOOBIG
+ z = scm_pseudolong (z);
+ w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ (SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 3);
+#else
+ SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
+ scm_longdigs (z, zdigs);
+ w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ zdigs, SCM_DIGSPERLONG,
+ SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 3);
+#endif
+ return (!SCM_UNBNDP (w))
+ ? w
+ : scm_make_real (scm_big2dbl (x) / (double) yy);
+ }
+ }
+ } else if (SCM_BIGP (y)) {
+ SCM w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3);
+ return (!SCM_UNBNDP (w))
+ ? w
+ : scm_make_real (scm_big2dbl (x) / scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (scm_big2dbl (x) / SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ a = scm_big2dbl (x);
+ goto complex_div;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide);
+ }
+ } else if (SCM_REALP (x)) {
+ double rx = SCM_REAL_VALUE (x);
+ if (SCM_INUMP (y)) {
+ return scm_make_real (rx / (double) SCM_INUM (y));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_real (rx / scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (rx / SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ a = rx;
+ goto complex_div;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide);
+ }
+ } else if (SCM_COMPLEXP (x)) {
+ double rx = SCM_COMPLEX_REAL (x);
+ double ix = SCM_COMPLEX_IMAG (x);
+ if (SCM_INUMP (y)) {
+ double d = SCM_INUM (y);
+ return scm_make_complex (rx / d, ix / d);
+ } else if (SCM_BIGP (y)) {
+ double d = scm_big2dbl (y);
+ return scm_make_complex (rx / d, ix / d);
+ } else if (SCM_REALP (y)) {
+ double d = SCM_REAL_VALUE (y);
+ return scm_make_complex (rx / d, ix / d);
+ } else if (SCM_COMPLEXP (y)) {
+ double ry = SCM_COMPLEX_REAL (y);
+ double iy = SCM_COMPLEX_IMAG (y);
+ double d = ry * ry + iy * iy;
+ return scm_make_complex ((rx * ry + ix * iy) / d,
+ (ix * ry - rx * iy) / d);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARG1, s_divide);
+ }
+}
+
+
+SCM_GPROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh, g_asinh);
+/* "Return the inverse hyperbolic sine of @var{x}."
+ */
+double
+scm_asinh (double x)
+{
+ return log (x + sqrt (x * x + 1));
+}
+
+
+
+
+SCM_GPROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh, g_acosh);
+/* "Return the inverse hyperbolic cosine of @var{x}."
+ */
+double
+scm_acosh (double x)
+{
+ return log (x + sqrt (x * x - 1));
+}
+
+
+
+
+SCM_GPROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh, g_atanh);
+/* "Return the inverse hyperbolic tangent of @var{x}."
+ */
+double
+scm_atanh (double x)
+{
+ return 0.5 * log ((1 + x) / (1 - x));
+}
+
+
+
+
+SCM_GPROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate, g_truncate);
+/* "Round the inexact number @var{x} towards zero."
+ */
+double
+scm_truncate (double x)
+{
+ if (x < 0.0)
+ return -floor (-x);
+ return floor (x);
+}
+
+
+
+SCM_GPROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round, g_round);
+/* "Round the inexact number @var{x}. If @var{x} is halfway between two\n"
+ * "numbers, round towards even."
+ */
+double
+scm_round (double x)
+{
+ double plus_half = x + 0.5;
+ double result = floor (plus_half);
+ /* Adjust so that the scm_round is towards even. */
+ return (plus_half == result && plus_half / 2 != floor (plus_half / 2))
+ ? result - 1 : result;
+}
+
+
+
+SCM_GPROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact, g_exact_to_inexact);
+/* Convert the number @var{x} to its inexact representation.\n"
+ */
+double
+scm_exact_to_inexact (double z)
+{
+ return z;
+}
+
+
+SCM_GPROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor, g_i_floor);
+/* "Round the number @var{x} towards minus infinity."
+ */
+SCM_GPROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil, g_i_ceil);
+/* "Round the number @var{x} towards infinity."
+ */
+SCM_GPROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt, g_i_sqrt);
+/* "Return the square root of the real number @var{x}."
+ */
+SCM_GPROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs, g_i_abs);
+/* "Return the absolute value of the real number @var{x}."
+ */
+SCM_GPROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp, g_i_exp);
+/* "Return the @var{x}th power of e."
+ */
+SCM_GPROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log, g_i_log);
+/* "Return the natural logarithm of the real number@var{x}."
+ */
+SCM_GPROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin, g_i_sin);
+/* "Return the sine of the real number @var{x}."
+ */
+SCM_GPROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos, g_i_cos);
+/* "Return the cosine of the real number @var{x}."
+ */
+SCM_GPROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan, g_i_tan);
+/* "Return the tangent of the real number @var{x}."
+ */
+SCM_GPROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin, g_i_asin);
+/* "Return the arc sine of the real number @var{x}."
+ */
+SCM_GPROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos, g_i_acos);
+/* "Return the arc cosine of the real number @var{x}."
+ */
+SCM_GPROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan, g_i_atan);
+/* "Return the arc tangent of the real number @var{x}."
+ */
+SCM_GPROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh, g_i_sinh);
+/* "Return the hyperbolic sine of the real number @var{x}."
+ */
+SCM_GPROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh, g_i_cosh);
+/* "Return the hyperbolic cosine of the real number @var{x}."
+ */
+SCM_GPROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh, g_i_tanh);
+/* "Return the hyperbolic tangent of the real number @var{x}."
+ */
+
+struct dpair
+{
+ double x, y;
+};
+
+static void scm_two_doubles (SCM x,
+ SCM y,
+ const char *sstring,
+ struct dpair * xy);
+
+static void
+scm_two_doubles (SCM x, SCM y, const char *sstring, struct dpair *xy)
+{
+ if (SCM_INUMP (x)) {
+ xy->x = SCM_INUM (x);
+ } else if (SCM_BIGP (x)) {
+ xy->x = scm_big2dbl (x);
+ } else if (SCM_REALP (x)) {
+ xy->x = SCM_REAL_VALUE (x);
+ } else {
+ scm_wrong_type_arg (sstring, SCM_ARG1, x);
+ }
+
+ if (SCM_INUMP (y)) {
+ xy->y = SCM_INUM (y);
+ } else if (SCM_BIGP (y)) {
+ xy->y = scm_big2dbl (y);
+ } else if (SCM_REALP (y)) {
+ xy->y = SCM_REAL_VALUE (y);
+ } else {
+ scm_wrong_type_arg (sstring, SCM_ARG2, y);
+ }
+}
+
+
+SCM_DEFINE (scm_sys_expt, "$expt", 2, 0, 0,
+ (SCM x, SCM y),
+ "Return @var{x} raised to the power of @var{y}. This\n"
+ "procedure does not accept complex arguments.")
+#define FUNC_NAME s_scm_sys_expt
+{
+ struct dpair xy;
+ scm_two_doubles (x, y, FUNC_NAME, &xy);
+ return scm_make_real (pow (xy.x, xy.y));
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE (scm_sys_atan2, "$atan2", 2, 0, 0,
+ (SCM x, SCM y),
+ "Return the arc tangent of the two arguments @var{x} and\n"
+ "@var{y}. This is similar to calculating the arc tangent of\n"
+ "@var{x} / @var{y}, except that the signs of both arguments\n"
+ "are used to determine the quadrant of the result. This\n"
+ "procedure does not accept complex arguments.")
+#define FUNC_NAME s_scm_sys_atan2
+{
+ struct dpair xy;
+ scm_two_doubles (x, y, FUNC_NAME, &xy);
+ return scm_make_real (atan2 (xy.x, xy.y));
+}
+#undef FUNC_NAME
+
+
+SCM_DEFINE (scm_make_rectangular, "make-rectangular", 2, 0, 0,
+ (SCM real, SCM imaginary),
+ "Return a complex number constructed of the given @var{real} and\n"
+ "@var{imaginary} parts.")
+#define FUNC_NAME s_scm_make_rectangular
+{
+ struct dpair xy;
+ scm_two_doubles (real, imaginary, FUNC_NAME, &xy);
+ return scm_make_complex (xy.x, xy.y);
+}
+#undef FUNC_NAME
+
+
+
+SCM_DEFINE (scm_make_polar, "make-polar", 2, 0, 0,
+ (SCM x, SCM y),
+ "Return the complex number @var{x} * e^(i * @var{y}).")
+#define FUNC_NAME s_scm_make_polar
+{
+ struct dpair xy;
+ scm_two_doubles (x, y, FUNC_NAME, &xy);
+ return scm_make_complex (xy.x * cos (xy.y), xy.x * sin (xy.y));
+}
+#undef FUNC_NAME
+
+
+SCM_GPROC (s_real_part, "real-part", 1, 0, 0, scm_real_part, g_real_part);
+/* "Return the real part of the number @var{z}."
+ */
+SCM
+scm_real_part (SCM z)
+{
+ if (SCM_INUMP (z)) {
+ return z;
+ } else if (SCM_BIGP (z)) {
+ return z;
+ } else if (SCM_REALP (z)) {
+ return z;
+ } else if (SCM_COMPLEXP (z)) {
+ return scm_make_real (SCM_COMPLEX_REAL (z));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_real_part, z, SCM_ARG1, s_real_part);
+ }
+}
+
+
+SCM_GPROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part, g_imag_part);
+/* "Return the imaginary part of the number @var{z}."
+ */
+SCM
+scm_imag_part (SCM z)
+{
+ if (SCM_INUMP (z)) {
+ return SCM_INUM0;
+ } else if (SCM_BIGP (z)) {
+ return SCM_INUM0;
+ } else if (SCM_REALP (z)) {
+ return scm_flo0;
+ } else if (SCM_COMPLEXP (z)) {
+ return scm_make_real (SCM_COMPLEX_IMAG (z));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_imag_part, z, SCM_ARG1, s_imag_part);
+ }
+}
+
+
+SCM_GPROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude, g_magnitude);
+/* "Return the magnitude of the number @var{z}. This is the same as\n"
+ * "@code{abs} for real arguments, but also allows complex numbers."
+ */
+SCM
+scm_magnitude (SCM z)
+{
+ if (SCM_INUMP (z)) {
+ long int zz = SCM_INUM (z);
+ if (zz >= 0) {
+ return z;
+ } else if (SCM_POSFIXABLE (-zz)) {
+ return SCM_MAKINUM (-zz);
+ } else {
+#ifdef SCM_BIGDIG
+ return scm_long2big (-zz);
+#else
+ scm_num_overflow (s_magnitude);
+#endif
+ }
+ } else if (SCM_BIGP (z)) {
+ if (!SCM_BIGSIGN (z)) {
+ return z;
+ } else {
+ return scm_copybig (z, 0);
+ }
+ } else if (SCM_REALP (z)) {
+ return scm_make_real (fabs (SCM_REAL_VALUE (z)));
+ } else if (SCM_COMPLEXP (z)) {
+ double r = SCM_COMPLEX_REAL (z);
+ double i = SCM_COMPLEX_IMAG (z);
+ return scm_make_real (sqrt (i * i + r * r));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_magnitude, z, SCM_ARG1, s_magnitude);
+ }
+}
+
+
+SCM_GPROC (s_angle, "angle", 1, 0, 0, scm_angle, g_angle);
+/* "Return the angle of the complex number @var{z}."
+ */
+SCM
+scm_angle (SCM z)
+{
+ if (SCM_INUMP (z)) {
+ if (SCM_INUM (z) >= 0) {
+ return scm_make_real (atan2 (0.0, 1.0));
+ } else {
+ return scm_make_real (atan2 (0.0, -1.0));
+ }
+ } else if (SCM_BIGP (z)) {
+ if (SCM_BIGSIGN (z)) {
+ return scm_make_real (atan2 (0.0, -1.0));
+ } else {
+ return scm_make_real (atan2 (0.0, 1.0));
+ }
+ } else if (SCM_REALP (z)) {
+ return scm_make_real (atan2 (0.0, SCM_REAL_VALUE (z)));
+ } else if (SCM_COMPLEXP (z)) {
+ return scm_make_real (atan2 (SCM_COMPLEX_IMAG (z), SCM_COMPLEX_REAL (z)));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_angle, z, SCM_ARG1, s_angle);
+ }
+}
+
+
+SCM_DEFINE (scm_inexact_to_exact, "inexact->exact", 1, 0, 0,
+ (SCM z),
+ "Returns an exact number that is numerically closest to @var{z}.")
+#define FUNC_NAME s_scm_inexact_to_exact
+{
+ if (SCM_INUMP (z)) {
+ return z;
+ } else if (SCM_BIGP (z)) {
+ return z;
+ } else if (SCM_REALP (z)) {
+ double u = floor (SCM_REAL_VALUE (z) + 0.5);
+ long lu = (long) u;
+ if (SCM_FIXABLE (lu)) {
+ return SCM_MAKINUM (lu);
+#ifdef SCM_BIGDIG
+ } else if (isfinite (u)) {
+ return scm_dbl2big (u);
+#endif
+ } else {
+ scm_num_overflow (s_scm_inexact_to_exact);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (1, z);
+ }
+}
+#undef FUNC_NAME
+
+
+#ifdef SCM_BIGDIG
+/* d must be integer */
+
+SCM
+scm_dbl2big (double d)
+{
+ scm_sizet i = 0;
+ long c;
+ SCM_BIGDIG *digits;
+ SCM ans;
+ double u = (d < 0) ? -d : d;
+ while (0 != floor (u))
+ {
+ u /= SCM_BIGRAD;
+ i++;
+ }
+ ans = scm_mkbig (i, d < 0);
+ digits = SCM_BDIGITS (ans);
+ while (i--)
+ {
+ u *= SCM_BIGRAD;
+ c = floor (u);
+ u -= c;
+ digits[i] = c;
+ }
+#ifndef SCM_RECKLESS
+ if (u != 0)
+ scm_num_overflow ("dbl2big");
+#endif
+ return ans;
+}
+
+
+
+double
+scm_big2dbl (SCM b)
+{
+ double ans = 0.0;
+ scm_sizet i = SCM_NUMDIGS (b);
+ SCM_BIGDIG *digits = SCM_BDIGITS (b);
+ while (i--)
+ ans = digits[i] + SCM_BIGRAD * ans;
+ if (SCM_BIGSIGN (b))
+ return - ans;
+ return ans;
+}
+#endif
+
+
+SCM
+scm_long2num (long sl)
+{
+ if (!SCM_FIXABLE (sl))
+ {
+#ifdef SCM_BIGDIG
+ return scm_long2big (sl);
+#else
+ return scm_make_real ((double) sl);
+#endif
+ }
+ return SCM_MAKINUM (sl);
+}
+
+
+#ifdef HAVE_LONG_LONGS
+
+SCM
+scm_long_long2num (long_long sl)
+{
+ if (!SCM_FIXABLE (sl))
+ {
+#ifdef SCM_BIGDIG
+ return scm_long_long2big (sl);
+#else
+ return scm_make_real ((double) sl);
+#endif
+ }
+ else
+ {
+ /* we know that sl fits into an inum */
+ return SCM_MAKINUM ((scm_bits_t) sl);
+ }
+}
+
+#endif /* HAVE_LONG_LONGS */
+
+
+SCM
+scm_ulong2num (unsigned long sl)
+{
+ if (!SCM_POSFIXABLE (sl))
+ {
+#ifdef SCM_BIGDIG
+ return scm_ulong2big (sl);
+#else
+ return scm_make_real ((double) sl);
+#endif
+ }
+ return SCM_MAKINUM (sl);
+}
+
+
+long
+scm_num2long (SCM num, char *pos, const char *s_caller)
+{
+ if (SCM_INUMP (num)) {
+ return SCM_INUM (num);
+ } else if (SCM_BIGP (num)) {
+ long int res;
+ /* can't use res directly in case num is -2^31. */
+ unsigned long int pos_res = 0;
+ unsigned long int old_res = 0;
+ scm_sizet l;
+
+ for (l = SCM_NUMDIGS (num); l--;) {
+ pos_res = SCM_BIGUP (pos_res) + SCM_BDIGITS (num)[l];
+ if (pos_res >= old_res) {
+ old_res = pos_res;
+ } else {
+ /* overflow. */
+ scm_out_of_range (s_caller, num);
+ }
+ }
+ if (SCM_BIGSIGN (num)) {
+ res = -pos_res;
+ if (res <= 0) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ } else {
+ res = pos_res;
+ if (res >= 0) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ }
+ } else if (SCM_REALP (num)) {
+ double u = SCM_REAL_VALUE (num);
+ long int res = u;
+ if ((double) res == u) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ } else {
+ scm_wrong_type_arg (s_caller, (int) pos, num);
+ }
+}
+
+
+#ifdef HAVE_LONG_LONGS
+
+long_long
+scm_num2long_long (SCM num, char *pos, const char *s_caller)
+{
+ if (SCM_INUMP (num)) {
+ return SCM_INUM (num);
+ } else if (SCM_BIGP (num)) {
+ long long res;
+ /* can't use res directly in case num is -2^63. */
+ unsigned long long int pos_res = 0;
+ unsigned long long int old_res = 0;
+ scm_sizet l;
+
+ for (l = SCM_NUMDIGS (num); l--;) {
+ pos_res = SCM_LONGLONGBIGUP (pos_res) + SCM_BDIGITS (num)[l];
+ if (pos_res >= old_res) {
+ old_res = pos_res;
+ } else {
+ /* overflow. */
+ scm_out_of_range (s_caller, num);
+ }
+ }
+ if (SCM_BIGSIGN (num)) {
+ res = -pos_res;
+ if (res <= 0) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ } else {
+ res = pos_res;
+ if (res >= 0) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ }
+ } else if (SCM_REALP (num)) {
+ double u = SCM_REAL_VALUE (num);
+ long long int res = u;
+ if ((double) res == u) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ } else {
+ scm_wrong_type_arg (s_caller, (int) pos, num);
+ }
+}
+
+#endif /* HAVE_LONG_LONGS */
+
+
+unsigned long
+scm_num2ulong (SCM num, char *pos, const char *s_caller)
+{
+ if (SCM_INUMP (num)) {
+ long nnum = SCM_INUM (num);
+ if (nnum >= 0) {
+ return nnum;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ } else if (SCM_BIGP (num)) {
+ unsigned long int res = 0;
+ scm_sizet l;
+
+ if (SCM_BIGSIGN (num))
+ scm_out_of_range (s_caller, num);
+
+ for (l = SCM_NUMDIGS (num); l--;) {
+ if (res > SCM_BIGDN(ULONG_MAX))
+ scm_out_of_range (s_caller, num);
+ res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l];
+ }
+ return res;
+ } else if (SCM_REALP (num)) {
+ double u = SCM_REAL_VALUE (num);
+ unsigned long int res = u;
+ if ((double) res == u) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ } else {
+ scm_wrong_type_arg (s_caller, (int) pos, num);
+ }
+}
+
+
+void
+scm_init_numbers ()
+{
+ abs_most_negative_fixnum = scm_long2big (- SCM_MOST_NEGATIVE_FIXNUM);
+ scm_permanent_object (abs_most_negative_fixnum);
+
+ /* It may be possible to tune the performance of some algorithms by using
+ * the following constants to avoid the creation of bignums. Please, before
+ * using these values, remember the two rules of program optimization:
+ * 1st Rule: Don't do it. 2nd Rule (experts only): Don't do it yet. */
+ scm_sysintern ("most-positive-fixnum", SCM_MAKINUM (SCM_MOST_POSITIVE_FIXNUM));
+ scm_sysintern ("most-negative-fixnum", SCM_MAKINUM (SCM_MOST_NEGATIVE_FIXNUM));
+
+ scm_add_feature ("complex");
+ scm_add_feature ("inexact");
+ scm_flo0 = scm_make_real (0.0);
+#ifdef DBL_DIG
+ scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG;
+#else
+ { /* determine floating point precision */
+ double f = 0.1;
+ double fsum = 1.0 + f;
+ while (fsum != 1.0) {
+ if (++scm_dblprec > 20) {
+ fsum = 1.0;
+ } else {
+ f /= 10.0;
+ fsum = f + 1.0;
+ }
+ }
+ scm_dblprec = scm_dblprec - 1;
+ }
+#endif /* DBL_DIG */
+#ifndef SCM_MAGIC_SNARFER
+#include "libguile/numbers.x"
+#endif
+}
+
+/*
+ Local Variables:
+ c-file-style: "gnu"
+ End:
+*/
HCoop / bpt / guile.git / blobdiff