diff options
Diffstat (limited to 'libguile/numbers.c')
-rw-r--r-- | libguile/numbers.c | 4101 |
1 files changed, 4101 insertions, 0 deletions
diff --git a/libguile/numbers.c b/libguile/numbers.c new file mode 100644 index 000000000..b572ed79f --- /dev/null +++ b/libguile/numbers.c @@ -0,0 +1,4101 @@ +/* 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" + + + +#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); +#ifdef __STDC__ +SCM +scm_exact_p(SCM x) +#else +SCM +scm_exact_p(x) + SCM x; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_odd_p(SCM n) +#else +SCM +scm_odd_p(n) + SCM n; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_even_p(SCM n) +#else +SCM +scm_even_p(n) + SCM n; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_abs(SCM x) +#else +SCM +scm_abs(x) + SCM x; +#endif +{ +#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_POSSCM_FIXABLE(x)) +#ifdef SCM_BIGDIG + return scm_long2big(x); +#else + scm_wta(SCM_MAKINUM(-x), (char *)SCM_OVSCM_FLOW, s_abs); +#endif + return SCM_MAKINUM(x); +} + +SCM_PROC(s_quotient, "quotient", 2, 0, 0, scm_quotient); +#ifdef __STDC__ +SCM +scm_quotient(SCM x, SCM y) +#else +SCM +scm_quotient(x, y) + SCM x; + SCM y; +#endif +{ + 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_wta(y, (char *)SCM_OVSCM_FLOW, 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_wta(x, (char *)SCM_OVSCM_FLOW, s_quotient); +#endif + return SCM_MAKINUM(z); +} + +SCM_PROC(s_remainder, "remainder", 2, 0, 0, scm_remainder); +#ifdef __STDC__ +SCM +scm_remainder(SCM x, SCM y) +#else +SCM +scm_remainder(x, y) + SCM x; + SCM y; +#endif +{ + 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_wta(y, (char *)SCM_OVSCM_FLOW, 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); +#ifdef __STDC__ +SCM +scm_modulo(SCM x, SCM y) +#else +SCM +scm_modulo(x, y) + SCM x; + SCM y; +#endif +{ + 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_wta(y, (char *)SCM_OVSCM_FLOW, 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); +#ifdef __STDC__ +SCM +scm_gcd(SCM x, SCM y) +#else +SCM +scm_gcd(x, y) + SCM x; + SCM y; +#endif +{ + 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_POSSCM_FIXABLE(u)) +#ifdef SCM_BIGDIG + return scm_long2big(u); +#else + scm_wta(x, (char *)SCM_OVSCM_FLOW, s_gcd); +#endif + return SCM_MAKINUM(u); +} + +SCM_PROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm); +#ifdef __STDC__ +SCM +scm_lcm(SCM n1, SCM n2) +#else +SCM +scm_lcm(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logand(SCM n1, SCM n2) +#else +SCM +scm_logand(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logior(SCM n1, SCM n2) +#else +SCM +scm_logior(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logxor(SCM n1, SCM n2) +#else +SCM +scm_logxor(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logtest(SCM n1, SCM n2) +#else +SCM +scm_logtest(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logbit_p(SCM n1, SCM n2) +#else +SCM +scm_logbit_p(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logand(SCM n1, SCM n2) +#else +SCM +scm_logand(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logior(SCM n1, SCM n2) +#else +SCM +scm_logior(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logxor(SCM n1, SCM n2) +#else +SCM +scm_logxor(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logtest(SCM n1, SCM n2) +#else +SCM +scm_logtest(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logbit_p(SCM n1, SCM n2) +#else +SCM +scm_logbit_p(n1, n2) + SCM n1; + SCM n2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_lognot(SCM n) +#else +SCM +scm_lognot(n) + SCM n; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_integer_expt(SCM z1, SCM z2) +#else +SCM +scm_integer_expt(z1, z2) + SCM z1; + SCM z2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_ash(SCM n, SCM cnt) +#else +SCM +scm_ash(n, cnt) + SCM n; + SCM cnt; +#endif +{ + 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_wta(n, (char *)SCM_OVSCM_FLOW, s_ash); + return res; +#endif +} + +SCM_PROC(s_bit_extract, "bit-extract", 3, 0, 0, scm_bit_extract); +#ifdef __STDC__ +SCM +scm_bit_extract(SCM n, SCM start, SCM end) +#else +SCM +scm_bit_extract(n, start, end) + SCM n; + SCM start; + SCM end; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_logcount (SCM n) +#else +SCM +scm_logcount(n) + SCM n; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_integer_length(SCM n) +#else +SCM +scm_integer_length(n) + SCM n; +#endif +{ + 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"; +#ifdef __STDC__ +SCM +scm_mkbig(scm_sizet nlen, int sign) +#else +SCM +scm_mkbig(nlen, sign) + scm_sizet nlen; + int sign; +#endif +{ + 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; +} + +#ifdef __STDC__ +SCM +scm_big2inum(SCM b, scm_sizet l) +#else +SCM +scm_big2inum(b, l) + SCM b; + scm_sizet l; +#endif +{ + 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_POSSCM_FIXABLE(num) return SCM_MAKINUM(num); + } + else if SCM_UNEGSCM_FIXABLE(num) return SCM_MAKINUM(-num); + return b; +} + + +char s_adjbig[] = "scm_adjbig"; +#ifdef __STDC__ +SCM +scm_adjbig(SCM b, scm_sizet nlen) +#else +SCM +scm_adjbig(b, nlen) + SCM b; + scm_sizet nlen; +#endif +{ + 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; +} + + +#ifdef __STDC__ +SCM +scm_normbig(SCM b) +#else +SCM +scm_normbig(b) + SCM b; +#endif +{ +#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); +} + + +#ifdef __STDC__ +SCM +scm_copybig(SCM b, int sign) +#else +SCM +scm_copybig(b, sign) + SCM b; + int sign; +#endif +{ + 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; +} + + +#ifdef __STDC__ +SCM +scm_long2big(long n) +#else +SCM +scm_long2big(n) + long n; +#endif +{ + 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 +#ifdef __STDC__ +SCM +scm_long_long2big(long_long n) +#else +SCM +scm_long_long2big(n) + long_long n; +#endif +{ + 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 + +#ifdef __STDC__ +SCM +scm_2ulong2big(unsigned long * np) +#else +SCM +scm_2ulong2big(np) + unsigned long * np; +#endif +{ + 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; +} + + +#ifdef __STDC__ +SCM +scm_ulong2big(unsigned long n) +#else +SCM +scm_ulong2big(n) + unsigned long n; +#endif +{ + 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; +} + + +#ifdef __STDC__ +int +scm_bigcomp(SCM x, SCM y) +#else +int +scm_bigcomp(x, y) + SCM x; + SCM y; +#endif +{ + 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 + +#ifdef __STDC__ +long +scm_pseudolong(long x) +#else +long +scm_pseudolong(x) + long x; +#endif +{ + 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 + +#ifdef __STDC__ +void +scm_longdigs(long x, SCM_BIGDIG digs[]) +#else +void +scm_longdigs(x, digs) + long x; + SCM_BIGDIG digs[]; +#endif +{ + scm_sizet i = 0; + if (x < 0) x = -x; + while (i < SCM_DIGSPERLONG) {digs[i++] = SCM_BIGLO(x); x = SCM_BIGDN(x);} +} +#endif + + +#ifdef __STDC__ +SCM +scm_addbig(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny) +#else +SCM +scm_addbig(x, nx, xsgn, bigy, sgny) + SCM_BIGDIG *x; + scm_sizet nx; + int xsgn; + SCM bigy; + int sgny; +#endif +{ + /* 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_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); +} + +#ifdef __STDC__ +SCM +scm_mulbig(SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn) +#else +SCM +scm_mulbig(x, nx, y, ny, sgn) + SCM_BIGDIG *x; + scm_sizet nx; + SCM_BIGDIG *y; + scm_sizet ny; + int sgn; +#endif +{ + 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); +} + +#ifdef __STDC__ +unsigned int +scm_divbigdig(SCM_BIGDIG *ds, scm_sizet h, SCM_BIGDIG div) +#else +unsigned int +scm_divbigdig(ds, h, div) + SCM_BIGDIG *ds; + scm_sizet h; + SCM_BIGDIG div; +#endif +{ + register unsigned long t2 = 0; + while(h--) { + t2 = SCM_BIGUP(t2) + ds[h]; + ds[h] = t2 / div; + t2 %= div; + } + return t2; +} + + +#ifdef __STDC__ +SCM +scm_divbigint(SCM x, long z, int sgn, int mode) +#else +SCM +scm_divbigint(x, z, sgn, mode) + SCM x; + long z; + int sgn; + int mode; +#endif +{ + 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 = 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 + } +} + +#ifdef __STDC__ +SCM +scm_divbigbig(SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes) +#else +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; +#endif +{ + /* 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}; + + + +#ifdef __STDC__ +static scm_sizet +idbl2str(double f, char *a) +#else +static scm_sizet +idbl2str(f, a) + double f; + char *a; +#endif +{ + 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; +} + +#ifdef __STDC__ +static scm_sizet +iflo2str(SCM flt, char *str) +#else +static scm_sizet +iflo2str(flt, str) + SCM flt; + char *str; +#endif +{ + 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 */ + +#ifdef __STDC__ +scm_sizet +scm_iint2str(long num, int rad, char *p) +#else +scm_sizet +scm_iint2str(num, rad, p) + long num; + int rad; + char *p; +#endif +{ + 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 +#ifdef __STDC__ +static SCM +big2str(SCM b, register unsigned int radix) +#else +static SCM +big2str(b, radix) + SCM b; + register unsigned int radix; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_number_to_string(SCM x, SCM radix) +#else +SCM +scm_number_to_string(x, radix) + SCM x; + SCM radix; +#endif +{ + 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 */ +#ifdef __STDC__ +int +scm_floprint(SCM sexp, SCM port, int writing) +#else +int +scm_floprint(sexp, port, writing) + SCM sexp; + SCM port; + int writing; +#endif +{ +#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; +} + + +#ifdef __STDC__ +int +scm_bigprint(SCM exp, SCM port, int writing) +#else +int +scm_bigprint(exp, port, writing) + SCM exp; + SCM port; + int writing; +#endif +{ +#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 ***/ +#ifdef SCM_BIGDIG +#ifdef __STDC__ +SCM +scm_istr2int(char *str, long len, long radix) +#else +SCM +scm_istr2int(str, len, radix) + char *str; + long len; + long radix; +#endif +{ + 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 */ + 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); + } + SCM_ASSERT(blen <= j, (SCM)SCM_MAKINUM(blen), SCM_OVSCM_FLOW, "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); +} +#else + + + +#ifdef __STDC__ +SCM +scm_istr2int(char *str, long len, long radix) +#else +SCM +scm_istr2int(str, len, radix) + char *str; + long len; + long radix; +#endif +{ + 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; +} +#endif + +#ifdef SCM_FLOATS +#ifdef __STDC__ +SCM +scm_istr2flo(char *str, long len, long radix) +#else +SCM +scm_istr2flo(str, len, radix) + char *str; + long len; + long radix; +#endif +{ + 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 */ + + +#ifdef __STDC__ +SCM +scm_istring2number(char *str, long len, long radix) +#else +SCM +scm_istring2number(str, len, radix) + char *str; + long len; + long radix; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_string_to_number(SCM str, SCM radix) +#else +SCM +scm_string_to_number(str, radix) + SCM str; + SCM radix; +#endif +{ + 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 +#ifdef __STDC__ +SCM +scm_makdbl (double x, double y) +#else +SCM +scm_makdbl (x, y) + double x; + double y; +#endif +{ + 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_CAR(z) = scm_tc_flo; + SCM_FLO(z) = x; + SCM_ALLOW_INTS; + return z; + } +# endif/* def SCM_SINGLES */ + SCM_CDR(z) = (SCM)scm_must_malloc(1L*sizeof(double), "real"); + SCM_CAR(z) = scm_tc_dblr; + } + else { + SCM_CDR(z) = (SCM)scm_must_malloc(2L*sizeof(double), "complex"); + SCM_CAR(z) = scm_tc_dblc; + SCM_IMAG(z) = y; + } + SCM_REAL(z) = x; + SCM_ALLOW_INTS; + return z; +} +#endif + + +#ifdef __STDC__ +SCM +scm_bigequal(SCM x, SCM y) +#else +SCM +scm_bigequal(x, y) + SCM x; + SCM y; +#endif +{ +#ifdef SCM_BIGDIG + if (0==scm_bigcomp(x, y)) return SCM_BOOL_T; +#endif + return SCM_BOOL_F; +} + + +#ifdef __STDC__ +SCM +scm_floequal(SCM x, SCM y) +#else +SCM +scm_floequal(x, y) + SCM x; + SCM y; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_number_p(SCM x) +#else +SCM +scm_number_p(x) + SCM x; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_real_p(SCM x) +#else +SCM +scm_real_p(x) + SCM x; +#endif +{ + 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, "int?", 1, 0, 0, scm_int_p); +#ifdef __STDC__ +SCM +scm_int_p(SCM x) +#else +SCM +scm_int_p(x) + SCM x; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_inexact_p(SCM x) +#else +SCM +scm_inexact_p(x) + SCM x; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_num_eq_p (SCM x, SCM y) +#else +SCM +scm_num_eq_p (x, y) + SCM x; + SCM y; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_less_p(SCM x, SCM y) +#else +SCM +scm_less_p(x, y) + SCM x; + SCM y; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_gr_p(SCM x, SCM y) +#else +SCM +scm_gr_p(x, y) + SCM x; + SCM y; +#endif +{ + return scm_less_p(y, x); +} + + + +SCM_PROC1 (s_leq_p, "<=?", scm_tc7_rpsubr, scm_leq_p); +#ifdef __STDC__ +SCM +scm_leq_p(SCM x, SCM y) +#else +SCM +scm_leq_p(x, y) + SCM x; + SCM y; +#endif +{ + return SCM_BOOL_NOT(scm_less_p(y, x)); +} + + + +SCM_PROC1 (s_geq_p, ">=?", scm_tc7_rpsubr, scm_geq_p); +#ifdef __STDC__ +SCM +scm_geq_p(SCM x, SCM y) +#else +SCM +scm_geq_p(x, y) + SCM x; + SCM y; +#endif +{ + return SCM_BOOL_NOT(scm_less_p(x, y)); +} + + + +SCM_PROC(s_zero_p, "zero?", 1, 0, 0, scm_zero_p); +#ifdef __STDC__ +SCM +scm_zero_p(SCM z) +#else +SCM +scm_zero_p(z) + SCM z; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_positive_p(SCM x) +#else +SCM +scm_positive_p(x) + SCM x; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_negative_p(SCM x) +#else +SCM +scm_negative_p(x) + SCM x; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_max(SCM x, SCM y) +#else +SCM +scm_max(x, y) + SCM x; + SCM y; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_min(SCM x, SCM y) +#else +SCM +scm_min(x, y) + SCM x; + SCM y; +#endif +{ +#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); +#ifdef __STDC__ +SCM +scm_sum(SCM x, SCM y) +#else +SCM +scm_sum(x, y) + SCM x; + SCM y; +#endif +{ + 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_wta(y, (char *)SCM_OVSCM_FLOW, s_sum); + return SCM_UNSPECIFIED; +# endif +#endif +} + + + + +SCM_PROC1 (s_difference, "-", scm_tc7_asubr, scm_difference); +#ifdef __STDC__ +SCM +scm_difference(SCM x, SCM y) +#else +SCM +scm_difference(x, y) + SCM x; + SCM y; +#endif +{ +#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_wta(y, (char *)SCM_OVSCM_FLOW, s_difference); + return SCM_UNSPECIFIED; +# endif +#endif +} + + + + +SCM_PROC1 (s_product, "*", scm_tc7_asubr, scm_product); +#ifdef __STDC__ +SCM +scm_product(SCM x, SCM y) +#else +SCM +scm_product(x, y) + SCM x; + SCM y; +#endif +{ + 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_wta(y, (char *)SCM_OVSCM_FLOW, s_product); +# endif +#endif + return y; + } +} + + +#ifdef __STDC__ +double +scm_num2dbl (SCM a, char * why) +#else +double +scm_num2dbl (a, why) + SCM a; + char * why; +#endif +{ + 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_PROC(s_fuck, "fuck", 1, 0, 0, scm_fuck); +#ifdef __STDC__ +SCM +scm_fuck (SCM a) +#else +SCM +scm_fuck (a) + SCM a; +#endif +{ + return scm_makdbl (scm_num2dbl (a, "just because"), 0.0); +} + +SCM_PROC1 (s_divide, "/", scm_tc7_asubr, scm_divide); +#ifdef __STDC__ +SCM +scm_divide(SCM x, SCM y) +#else +SCM +scm_divide(x, y) + SCM x; + SCM y; +#endif +{ +#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); + SCM_ASSERT(z, y, SCM_OVSCM_FLOW, s_divide); + 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_wta(x, (char *)SCM_OVSCM_FLOW, s_divide); + return SCM_UNSPECIFIED; +#endif + } +} + + + + +#ifdef SCM_FLOATS +SCM_PROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh); +#ifdef __STDC__ +double +scm_asinh(double x) +#else +double +scm_asinh(x) + double x; +#endif +{ + return log(x+sqrt(x*x+1)); +} + + + + +SCM_PROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh); +#ifdef __STDC__ +double +scm_acosh(double x) +#else +double +scm_acosh(x) + double x; +#endif +{ + return log(x+sqrt(x*x-1)); +} + + + + +SCM_PROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh); +#ifdef __STDC__ +double +scm_atanh(double x) +#else +double +scm_atanh(x) + double x; +#endif +{ + return 0.5*log((1+x)/(1-x)); +} + + + + +SCM_PROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate); +#ifdef __STDC__ +double +scm_truncate(double x) +#else +double +scm_truncate(x) + double x; +#endif +{ + if (x < 0.0) return -floor(-x); + return floor(x); +} + + + +SCM_PROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round); +#ifdef __STDC__ +double +scm_round(double x) +#else +double +scm_round(x) + double x; +#endif +{ + double plus_half = x + 0.5; + double result = floor(plus_half); + /* Adjust so that the scm_round is towards even. */ + return (plus_half == result && plus_half / 2 != floor(plus_half / 2)) + ? result - 1 : result; +} + + + +SCM_PROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact); +#ifdef __STDC__ +double +scm_exact_to_inexact(double z) +#else +double +scm_exact_to_inexact(z) + double z; +#endif +{ + return z; +} + + +SCM_PROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor); +SCM_PROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil); +SCM_PROC1 (s_i_sqrt, "$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;}; + +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); +#ifdef __STDC__ +SCM +scm_sys_expt(SCM z1, SCM z2) +#else +SCM +scm_sys_expt(z1, z2) + SCM z1; + SCM z2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_sys_atan2(SCM z1, SCM z2) +#else +SCM +scm_sys_atan2(z1, z2) + SCM z1; + SCM z2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_make_rectangular(SCM z1, SCM z2) +#else +SCM +scm_make_rectangular(z1, z2) + SCM z1; + SCM z2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_make_polar(SCM z1, SCM z2) +#else +SCM +scm_make_polar(z1, z2) + SCM z1; + SCM z2; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_real_part(SCM z) +#else +SCM +scm_real_part(z) + SCM z; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_imag_part(SCM z) +#else +SCM +scm_imag_part(z) + SCM z; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_magnitude(SCM z) +#else +SCM +scm_magnitude(z) + SCM z; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_angle(SCM z) +#else +SCM +scm_angle(z) + SCM z; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_inexact_to_exact(SCM z) +#else +SCM +scm_inexact_to_exact(z) + SCM z; +#endif +{ + 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); +#ifdef __STDC__ +SCM +scm_trunc(SCM x) +#else +SCM +scm_trunc(x) + SCM x; +#endif +{ + 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 */ +#ifdef __STDC__ +SCM +scm_dbl2big(double d) +#else +SCM +scm_dbl2big(d) + double d; +#endif +{ + 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; + } + SCM_ASSERT(0==u, SCM_INUM0, SCM_OVSCM_FLOW, "dbl2big"); + return ans; +} + + + +#ifdef __STDC__ +double +scm_big2dbl(SCM b) +#else +double +scm_big2dbl(b) + SCM b; +#endif +{ + 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 + +#ifdef __STDC__ +SCM +scm_long2num(long sl) +#else +SCM +scm_long2num(sl) + long sl; +#endif +{ + 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 +#ifdef __STDC__ +SCM +scm_long_long2num(long_long sl) +#else +SCM +scm_long_long2num(sl) + long_long sl; +#endif +{ + 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 + + +#ifdef __STDC__ +SCM +scm_ulong2num(unsigned long sl) +#else +SCM +scm_ulong2num(sl) + unsigned long sl; +#endif +{ + if (!SCM_POSSCM_FIXABLE(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); +} + +#ifdef __STDC__ +long +scm_num2long(SCM num, char *pos, char *s_caller) +#else +long +scm_num2long(num, pos, s_caller) + SCM num; + char *pos; + char *s_caller; +#endif +{ + long res; + if (SCM_INUMP(num)) + { + res = SCM_INUM(num); + return res; + } + SCM_ASRTGO(SCM_NIMP(num), errout); +#ifdef SCM_FLOATS + if (SCM_REALP(num)) + { + double u = SCM_REALPART(num); + res = u; + if ((double)res == u) + { + return res; + } + } +#endif +#ifdef SCM_BIGDIG + if (SCM_BIGP(num)) { + long oldres; + scm_sizet l; + res = 0; + oldres = 0; + for(l = SCM_NUMDIGS(num);l--;) + { + res = SCM_BIGUP(res) + SCM_BDIGITS(num)[l]; + if (res < oldres) + goto errout; + oldres = res; + } + if (SCM_TYP16 (num) == scm_tc16_bigpos) + return res; + else + return -res; + } +#endif + errout: scm_wta(num, pos, s_caller); + return SCM_UNSPECIFIED; +} + + + + +#ifdef __STDC__ +long +num2long(SCM num, char *pos, char *s_caller) +#else +long +num2long(num, pos, s_caller) + SCM num; + char *pos; + char *s_caller; +#endif +{ + 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 +#ifdef __STDC__ +long_long +scm_num2long_long(SCM num, char *pos, char *s_caller) +#else +long_long +scm_num2long_long(num, pos, s_caller) + SCM num; + char *pos; + char *s_caller; +#endif +{ + 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_LONGLONGSCM_BIGUP(res) + SCM_BDIGITS(num)[l]; + return res; + } +#endif + errout: scm_wta(num, pos, s_caller); + return SCM_UNSPECIFIED; +} +#endif + + +#ifdef __STDC__ +unsigned long +scm_num2ulong(SCM num, char *pos, char *s_caller) +#else +unsigned long +scm_num2ulong(num, pos, s_caller) + SCM num; + char *pos; + char *s_caller; +#endif +{ + 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(f, fsum) + double f, *fsum; +{ + *fsum = f + 1.0; +} +# endif +#endif + + +#ifdef __STDC__ +void +scm_init_numbers (void) +#else +void +scm_init_numbers () +#endif +{ +#ifdef SCM_FLOATS + SCM_NEWCELL(scm_flo0); +# ifdef SCM_SINGLES + SCM_CAR(scm_flo0) = scm_tc_flo; + SCM_FLO(scm_flo0) = 0.0; +# else + SCM_CDR(scm_flo0) = (SCM)scm_must_malloc(1L*sizeof(double), "real"); + SCM_REAL(scm_flo0) = 0.0; + SCM_CAR(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" +} + |