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-rw-r--r--libguile/numbers.c3704
1 files changed, 0 insertions, 3704 deletions
diff --git a/libguile/numbers.c b/libguile/numbers.c
deleted file mode 100644
index 360527611..000000000
--- a/libguile/numbers.c
+++ /dev/null
@@ -1,3704 +0,0 @@
-/* Copyright (C) 1995,1996 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, 675 Mass Ave, Cambridge, MA 02139, USA.
- *
- * As a special exception, the Free Software Foundation gives permission
- * for additional uses of the text contained in its release of GUILE.
- *
- * The exception is that, if you link the GUILE library with other files
- * to produce an executable, this does not by itself cause the
- * resulting executable to be covered by the GNU General Public License.
- * Your use of that executable is in no way restricted on account of
- * linking the GUILE library code into it.
- *
- * This exception does not however invalidate any other reasons why
- * the executable file might be covered by the GNU General Public License.
- *
- * This exception applies only to the code released by the
- * Free Software Foundation under the name GUILE. If you copy
- * code from other Free Software Foundation releases into a copy of
- * GUILE, as the General Public License permits, the exception does
- * not apply to the code that you add in this way. To avoid misleading
- * anyone as to the status of such modified files, you must delete
- * this exception notice from them.
- *
- * If you write modifications of your own for GUILE, it is your choice
- * whether to permit this exception to apply to your modifications.
- * If you do not wish that, delete this exception notice.
- */
-
-
-#include <stdio.h>
-#include <math.h>
-#include "_scm.h"
-#include "genio.h"
-#include "unif.h"
-
-#include "numbers.h"
-
-#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
-
-/* 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 */
-
-
-
-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 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 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 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;
-{
- return scm_long2num(scm_num2long(n1, (char *)SCM_ARG1, s_logand)
- & scm_num2long(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;
-{
- return scm_long2num(scm_num2long(n1, (char *)SCM_ARG1, s_logior)
- | scm_num2long(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;
-{
- return scm_long2num(scm_num2long(n1, (char *)SCM_ARG1, s_logxor)
- ^ scm_num2long(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_num2long (n1, (char *)SCM_ARG1, s_logtest)
- & scm_num2long (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_num2long (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;
-{
- SCM_ASSERT(SCM_INUMP(n1), n1, SCM_ARG1, s_logand);
- SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, s_logand);
- 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;
-{
- SCM_ASSERT(SCM_INUMP(n1), n1, SCM_ARG1, s_logior);
- SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, s_logior);
- 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;
-{
- SCM_ASSERT(SCM_INUMP(n1), n1, SCM_ARG1, s_logxor);
- SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, s_logxor);
- 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));
-}
-
-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);
-}
-
-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
-char s_bignum[] = "bignum";
-
-SCM
-scm_mkbig(nlen, sign)
- scm_sizet nlen;
- int sign;
-{
- SCM v = nlen;
- if (((v << 16) >> 16) != 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;
-}
-
-
-char s_adjbig[] = "scm_adjbig";
-
-SCM
-scm_adjbig(b, nlen)
- SCM b;
- scm_sizet nlen;
-{
- long nsiz = nlen;
- if (((nsiz << 16) >> 16) != nlen) scm_wta(SCM_MAKINUM(nsiz), (char *)SCM_NALLOC, s_adjbig);
- SCM_DEFER_INTS;
- SCM_SETCHARS(b, (SCM_BIGDIG *)scm_must_realloc((char *)SCM_CHARS(b),
- (long)(SCM_NUMDIGS(b)*sizeof(SCM_BIGDIG)),
- (long)(nsiz*sizeof(SCM_BIGDIG)), s_adjbig));
- 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;
- if (ysign < xsign) return 1;
- if (ysign > xsign) return -1;
- if ((ylen = SCM_NUMDIGS(y)) > (xlen = SCM_NUMDIGS(x))) return (xsign) ? -1 : 1;
- if (ylen < xlen) return (xsign) ? 1 : -1;
- while(xlen-- && (SCM_BDIGITS(y)[xlen]==SCM_BDIGITS(x)[xlen]));
- if (-1==xlen) return 0;
- return (SCM_BDIGITS(y)[xlen] > SCM_BDIGITS(x)[xlen]) ?
- (xsign ? -1 : 1) : (xsign ? 1 : -1);
-}
-
-#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);
-}
-
-
-unsigned int
-scm_divbigdig(ds, h, div)
- 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
-
-
-
-
-
-/*** NUMBERS -> STRINGS ***/
-#ifdef SCM_FLOATS
-int scm_dblprec;
-static 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, (SCM)SCM_MAKINUM(ch+SCM_LENGTH(ss)-i)); /* jeh */
- }
- return ss;
-}
-#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 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_gen_write (scm_regular_string, 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_gen_write (scm_regular_string, 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==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 < 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_NEWCELL(z);
- 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_SETCAR (z, scm_tc_flo);
- SCM_FLO(z) = x;
- SCM_ALLOW_INTS;
- return z;
- }
-# endif/* def SCM_SINGLES */
- SCM_SETCDR (z, (SCM)scm_must_malloc(1L*sizeof(double), "real"));
- SCM_SETCAR (z, scm_tc_dblr);
- }
- else {
- SCM_SETCDR (z, (SCM)scm_must_malloc(2L*sizeof(double), "complex"));
- SCM_SETCAR (z, scm_tc_dblc);
- 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 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 RECKLESS
- if (!(SCM_INEXP(y)))
- bady: scm_wta(y, (char *)SCM_ARG2, s_eq_p);
-# endif
-# else
-# ifndef 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 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 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 RECKLESS
- if (!(SCM_REALP(y)))
- bady: scm_wta(y, (char *)SCM_ARG2, s_less_p);
-# endif
-# else
-# ifndef 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 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 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 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 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 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 RECKLESS
- if (!(SCM_REALP(y)))
- bady: scm_wta(y, (char *)SCM_ARG2, s_max);
-# endif
-# else
-# ifndef 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 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 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 RECKLESS
- if (!(SCM_REALP(y)))
- bady: scm_wta(y, (char *)SCM_ARG2, s_min);
-# endif
-# else
-# ifndef 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 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 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 RECKLESS
- else if (!(SCM_INEXP(y)))
- bady: scm_wta(y, (char *)SCM_ARG2, s_sum);
-# endif
-# else
-# ifndef 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 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 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 RECKLESS
- if (!(SCM_INEXP(y)))
- bady: scm_wta(y, (char *)SCM_ARG2, s_difference);
-# endif
-# else
-# ifndef 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 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 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 RECKLESS
- else if (!(SCM_INEXP(y)))
- bady: scm_wta(y, (char *)SCM_ARG2, s_product);
-# endif
-# else
-# ifndef 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 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;
- 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 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 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 RECKLESS
- if (!(SCM_INEXP(y)))
- bady: scm_wta(y, (char *)SCM_ARG2, s_divide);
-# endif
-# else
-# ifndef 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 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_P ((SCM z1, SCM z2, char *sstring, struct dpair *xy));
-
-static void
-scm_two_doubles(z1, z2, sstring, xy)
- SCM z1, z2;
- 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 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 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 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 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 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 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 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(!IS_INF(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 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;
- 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;
-}
-
-
-
-
-
-long
-num2long(num, pos, s_caller)
- SCM num;
- char *pos;
- char *s_caller;
-{
- long res;
- if SCM_INUMP(num) {
- res = SCM_INUM((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_DIGSPERLONG >= l, errout);
- res = 0;
- for(;l--;) res = SCM_BIGUP(res) + SCM_BDIGITS(num)[l];
- 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;
- 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;
- 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_NEWCELL(scm_flo0);
-# ifdef SCM_SINGLES
- SCM_SETCAR (scm_flo0, scm_tc_flo);
- SCM_FLO(scm_flo0) = 0.0;
-# else
- SCM_SETCDR (scm_flo0, (SCM)scm_must_malloc(1L*sizeof(double), "real"));
- SCM_REAL(scm_flo0) = 0.0;
- SCM_SETCAR (scm_flo0, scm_tc_dblr);
-# 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"
-}
-