diff options
Diffstat (limited to 'libguile/numbers.c')
-rw-r--r-- | libguile/numbers.c | 3704 |
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" -} - |