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Diffstat (limited to 'ruby_1_8_5/bignum.c')
-rw-r--r--ruby_1_8_5/bignum.c2104
1 files changed, 0 insertions, 2104 deletions
diff --git a/ruby_1_8_5/bignum.c b/ruby_1_8_5/bignum.c
deleted file mode 100644
index 3057f1d45a..0000000000
--- a/ruby_1_8_5/bignum.c
+++ /dev/null
@@ -1,2104 +0,0 @@
-/**********************************************************************
-
- bignum.c -
-
- $Author: shyouhei $
- $Date: 2006/12/06 10:14:12 $
- created at: Fri Jun 10 00:48:55 JST 1994
-
- Copyright (C) 1993-2003 Yukihiro Matsumoto
-
-**********************************************************************/
-
-#include "ruby.h"
-
-#include <math.h>
-#include <ctype.h>
-#ifdef HAVE_IEEEFP_H
-#include <ieeefp.h>
-#endif
-
-VALUE rb_cBignum;
-
-#if defined __MINGW32__
-#define USHORT _USHORT
-#endif
-
-#define BDIGITS(x) ((BDIGIT*)RBIGNUM(x)->digits)
-#define BITSPERDIG (SIZEOF_BDIGITS*CHAR_BIT)
-#define BIGRAD ((BDIGIT_DBL)1 << BITSPERDIG)
-#define DIGSPERLONG ((unsigned int)(SIZEOF_LONG/SIZEOF_BDIGITS))
-#if HAVE_LONG_LONG
-# define DIGSPERLL ((unsigned int)(SIZEOF_LONG_LONG/SIZEOF_BDIGITS))
-#endif
-#define BIGUP(x) ((BDIGIT_DBL)(x) << BITSPERDIG)
-#define BIGDN(x) RSHIFT(x,BITSPERDIG)
-#define BIGLO(x) ((BDIGIT)((x) & (BIGRAD-1)))
-#define BDIGMAX ((BDIGIT)-1)
-
-#define BIGZEROP(x) (RBIGNUM(x)->len == 0 || (RBIGNUM(x)->len == 1 && BDIGITS(x)[0] == 0))
-
-static VALUE
-bignew_1(klass, len, sign)
- VALUE klass;
- long len;
- int sign;
-{
- NEWOBJ(big, struct RBignum);
- OBJSETUP(big, klass, T_BIGNUM);
- big->sign = sign?1:0;
- big->len = len;
- big->digits = ALLOC_N(BDIGIT, len);
-
- return (VALUE)big;
-}
-
-#define bignew(len,sign) bignew_1(rb_cBignum,len,sign)
-
-VALUE
-rb_big_clone(x)
- VALUE x;
-{
- VALUE z = bignew_1(CLASS_OF(x), RBIGNUM(x)->len, RBIGNUM(x)->sign);
-
- MEMCPY(BDIGITS(z), BDIGITS(x), BDIGIT, RBIGNUM(x)->len);
- return z;
-}
-
-/* modify a bignum by 2's complement */
-static void
-get2comp(x)
- VALUE x;
-{
- long i = RBIGNUM(x)->len;
- BDIGIT *ds = BDIGITS(x);
- BDIGIT_DBL num;
-
- while (i--) ds[i] = ~ds[i];
- i = 0; num = 1;
- do {
- num += ds[i];
- ds[i++] = BIGLO(num);
- num = BIGDN(num);
- } while (i < RBIGNUM(x)->len);
- if (num != 0) {
- REALLOC_N(RBIGNUM(x)->digits, BDIGIT, ++RBIGNUM(x)->len);
- ds = BDIGITS(x);
- ds[RBIGNUM(x)->len-1] = RBIGNUM(x)->sign ? ~0 : 1;
- }
-}
-
-void
-rb_big_2comp(x) /* get 2's complement */
- VALUE x;
-{
- get2comp(x);
-}
-
-static VALUE
-bignorm(x)
- VALUE x;
-{
- if (FIXNUM_P(x)) {
- return x;
- }
- else if (TYPE(x) == T_BIGNUM) {
- long len = RBIGNUM(x)->len;
- BDIGIT *ds = BDIGITS(x);
-
- while (len-- && !ds[len]) ;
- RBIGNUM(x)->len = ++len;
-
- if (len*SIZEOF_BDIGITS <= sizeof(VALUE)) {
- long num = 0;
- while (len--) {
- num = BIGUP(num) + ds[len];
- }
- if (num >= 0) {
- if (RBIGNUM(x)->sign) {
- if (POSFIXABLE(num)) return LONG2FIX(num);
- }
- else if (NEGFIXABLE(-(long)num)) return LONG2FIX(-(long)num);
- }
- }
- }
- return x;
-}
-
-VALUE
-rb_big_norm(x)
- VALUE x;
-{
- return bignorm(x);
-}
-
-VALUE
-rb_uint2big(n)
- unsigned long n;
-{
- BDIGIT_DBL num = n;
- long i = 0;
- BDIGIT *digits;
- VALUE big;
-
- big = bignew(DIGSPERLONG, 1);
- digits = BDIGITS(big);
- while (i < DIGSPERLONG) {
- digits[i++] = BIGLO(num);
- num = BIGDN(num);
- }
-
- i = DIGSPERLONG;
- while (--i && !digits[i]) ;
- RBIGNUM(big)->len = i+1;
- return big;
-}
-
-VALUE
-rb_int2big(n)
- long n;
-{
- long neg = 0;
- VALUE big;
-
- if (n < 0) {
- n = -n;
- neg = 1;
- }
- big = rb_uint2big(n);
- if (neg) {
- RBIGNUM(big)->sign = 0;
- }
- return big;
-}
-
-VALUE
-rb_uint2inum(n)
- unsigned long n;
-{
- if (POSFIXABLE(n)) return LONG2FIX(n);
- return rb_uint2big(n);
-}
-
-VALUE
-rb_int2inum(n)
- long n;
-{
- if (FIXABLE(n)) return LONG2FIX(n);
- return rb_int2big(n);
-}
-
-#ifdef HAVE_LONG_LONG
-
-void
-rb_quad_pack(buf, val)
- char *buf;
- VALUE val;
-{
- LONG_LONG q;
-
- val = rb_to_int(val);
- if (FIXNUM_P(val)) {
- q = FIX2LONG(val);
- }
- else {
- long len = RBIGNUM(val)->len;
- BDIGIT *ds;
-
- if (len > SIZEOF_LONG_LONG/SIZEOF_BDIGITS)
- rb_raise(rb_eRangeError, "bignum too big to convert into `quad int'");
- ds = BDIGITS(val);
- q = 0;
- while (len--) {
- q = BIGUP(q);
- q += ds[len];
- }
- if (!RBIGNUM(val)->sign) q = -q;
- }
- memcpy(buf, (char*)&q, SIZEOF_LONG_LONG);
-}
-
-VALUE
-rb_quad_unpack(buf, sign)
- const char *buf;
- int sign;
-{
- unsigned LONG_LONG q;
- long neg = 0;
- long i;
- BDIGIT *digits;
- VALUE big;
-
- memcpy(&q, buf, SIZEOF_LONG_LONG);
- if (sign) {
- if (FIXABLE((LONG_LONG)q)) return LONG2FIX((LONG_LONG)q);
- if ((LONG_LONG)q < 0) {
- q = -(LONG_LONG)q;
- neg = 1;
- }
- }
- else {
- if (POSFIXABLE(q)) return LONG2FIX(q);
- }
-
- i = 0;
- big = bignew(DIGSPERLL, 1);
- digits = BDIGITS(big);
- while (i < DIGSPERLL) {
- digits[i++] = BIGLO(q);
- q = BIGDN(q);
- }
-
- i = DIGSPERLL;
- while (i-- && !digits[i]) ;
- RBIGNUM(big)->len = i+1;
-
- if (neg) {
- RBIGNUM(big)->sign = 0;
- }
- return bignorm(big);
-}
-
-#else
-
-#define QUAD_SIZE 8
-
-void
-rb_quad_pack(buf, val)
- char *buf;
- VALUE val;
-{
- long len;
-
- memset(buf, 0, QUAD_SIZE);
- val = rb_to_int(val);
- if (FIXNUM_P(val)) {
- val = rb_int2big(FIX2LONG(val));
- }
- len = RBIGNUM(val)->len * SIZEOF_BDIGITS;
- if (len > QUAD_SIZE) {
- rb_raise(rb_eRangeError, "bignum too big to convert into `quad int'");
- }
- memcpy(buf, (char*)BDIGITS(val), len);
- if (!RBIGNUM(val)->sign) {
- len = QUAD_SIZE;
- while (len--) {
- *buf = ~*buf;
- buf++;
- }
- }
-}
-
-#define BNEG(b) (RSHIFT(((BDIGIT*)b)[QUAD_SIZE/SIZEOF_BDIGITS-1],BITSPERDIG-1) != 0)
-
-VALUE
-rb_quad_unpack(buf, sign)
- const char *buf;
- int sign;
-{
- VALUE big = bignew(QUAD_SIZE/SIZEOF_BDIGITS, 1);
-
- memcpy((char*)BDIGITS(big), buf, QUAD_SIZE);
- if (sign && BNEG(buf)) {
- long len = QUAD_SIZE;
- char *tmp = (char*)BDIGITS(big);
-
- RBIGNUM(big)->sign = 0;
- while (len--) {
- *tmp = ~*tmp;
- tmp++;
- }
- }
-
- return bignorm(big);
-}
-
-#endif
-
-VALUE
-rb_cstr_to_inum(str, base, badcheck)
- const char *str;
- int base;
- int badcheck;
-{
- const char *s = str;
- char *end;
- char sign = 1, nondigit = 0;
- int c;
- BDIGIT_DBL num;
- long len, blen = 1;
- long i;
- VALUE z;
- BDIGIT *zds;
-
- if (!str) {
- if (badcheck) goto bad;
- return INT2FIX(0);
- }
- if (badcheck) {
- while (ISSPACE(*str)) str++;
- }
- else {
- while (ISSPACE(*str) || *str == '_') str++;
- }
-
- if (str[0] == '+') {
- str++;
- }
- else if (str[0] == '-') {
- str++;
- sign = 0;
- }
- if (str[0] == '+' || str[0] == '-') {
- if (badcheck) goto bad;
- return INT2FIX(0);
- }
- if (base <= 0) {
- if (str[0] == '0') {
- switch (str[1]) {
- case 'x': case 'X':
- base = 16;
- break;
- case 'b': case 'B':
- base = 2;
- break;
- case 'o': case 'O':
- base = 8;
- break;
- case 'd': case 'D':
- base = 10;
- break;
- default:
- base = 8;
- }
- }
- else if (base < -1) {
- base = -base;
- }
- else {
- base = 10;
- }
- }
- switch (base) {
- case 2:
- len = 1;
- if (str[0] == '0' && (str[1] == 'b'||str[1] == 'B')) {
- str += 2;
- }
- break;
- case 3:
- len = 2;
- break;
- case 8:
- if (str[0] == '0' && (str[1] == 'o'||str[1] == 'O')) {
- str += 2;
- }
- case 4: case 5: case 6: case 7:
- len = 3;
- break;
- case 10:
- if (str[0] == '0' && (str[1] == 'd'||str[1] == 'D')) {
- str += 2;
- }
- case 9: case 11: case 12: case 13: case 14: case 15:
- len = 4;
- break;
- case 16:
- len = 4;
- if (str[0] == '0' && (str[1] == 'x'||str[1] == 'X')) {
- str += 2;
- }
- break;
- default:
- if (base < 2 || 36 < base) {
- rb_raise(rb_eArgError, "illegal radix %d", base);
- }
- if (base <= 32) {
- len = 5;
- }
- else {
- len = 6;
- }
- break;
- }
- if (*str == '0') { /* squeeze preceeding 0s */
- while (*++str == '0');
- --str;
- }
- len *= strlen(str)*sizeof(char);
-
- if (len <= (sizeof(VALUE)*CHAR_BIT)) {
- unsigned long val = strtoul((char*)str, &end, base);
-
- if (*end == '_') goto bigparse;
- if (badcheck) {
- if (end == str) goto bad; /* no number */
- while (*end && ISSPACE(*end)) end++;
- if (*end) goto bad; /* trailing garbage */
- }
-
- if (POSFIXABLE(val)) {
- if (sign) return LONG2FIX(val);
- else {
- long result = -(long)val;
- return LONG2FIX(result);
- }
- }
- else {
- VALUE big = rb_uint2big(val);
- RBIGNUM(big)->sign = sign;
- return bignorm(big);
- }
- }
- bigparse:
- len = (len/BITSPERDIG)+1;
- if (badcheck && *str == '_') goto bad;
-
- z = bignew(len, sign);
- zds = BDIGITS(z);
- for (i=len;i--;) zds[i]=0;
- while (c = *str++) {
- if (c == '_') {
- if (badcheck) {
- if (nondigit) goto bad;
- nondigit = c;
- }
- continue;
- }
- else if (!ISASCII(c)) {
- break;
- }
- else if (isdigit(c)) {
- c -= '0';
- }
- else if (islower(c)) {
- c -= 'a' - 10;
- }
- else if (isupper(c)) {
- c -= 'A' - 10;
- }
- else {
- break;
- }
- if (c >= base) break;
- nondigit = 0;
- i = 0;
- num = c;
- for (;;) {
- while (i<blen) {
- num += (BDIGIT_DBL)zds[i]*base;
- zds[i++] = BIGLO(num);
- num = BIGDN(num);
- }
- if (num) {
- blen++;
- continue;
- }
- break;
- }
- }
- if (badcheck) {
- str--;
- if (s+1 < str && str[-1] == '_') goto bad;
- while (*str && ISSPACE(*str)) str++;
- if (*str) {
- bad:
- rb_invalid_str(s, "Integer");
- }
- }
-
- return bignorm(z);
-}
-
-VALUE
-rb_str_to_inum(str, base, badcheck)
- VALUE str;
- int base;
- int badcheck;
-{
- char *s;
- long len;
-
- StringValue(str);
- if (badcheck) {
- s = StringValueCStr(str);
- }
- else {
- s = RSTRING(str)->ptr;
- }
- if (s) {
- len = RSTRING(str)->len;
- if (s[len]) { /* no sentinel somehow */
- char *p = ALLOCA_N(char, len+1);
-
- MEMCPY(p, s, char, len);
- p[len] = '\0';
- s = p;
- }
- }
- return rb_cstr_to_inum(s, base, badcheck);
-}
-
-#if HAVE_LONG_LONG
-
-VALUE
-rb_ull2big(n)
- unsigned LONG_LONG n;
-{
- BDIGIT_DBL num = n;
- long i = 0;
- BDIGIT *digits;
- VALUE big;
-
- big = bignew(DIGSPERLL, 1);
- digits = BDIGITS(big);
- while (i < DIGSPERLL) {
- digits[i++] = BIGLO(num);
- num = BIGDN(num);
- }
-
- i = DIGSPERLL;
- while (i-- && !digits[i]) ;
- RBIGNUM(big)->len = i+1;
- return big;
-}
-
-VALUE
-rb_ll2big(n)
- LONG_LONG n;
-{
- long neg = 0;
- VALUE big;
-
- if (n < 0) {
- n = -n;
- neg = 1;
- }
- big = rb_ull2big(n);
- if (neg) {
- RBIGNUM(big)->sign = 0;
- }
- return big;
-}
-
-VALUE
-rb_ull2inum(n)
- unsigned LONG_LONG n;
-{
- if (POSFIXABLE(n)) return LONG2FIX(n);
- return rb_ull2big(n);
-}
-
-VALUE
-rb_ll2inum(n)
- LONG_LONG n;
-{
- if (FIXABLE(n)) return LONG2FIX(n);
- return rb_ll2big(n);
-}
-
-#endif /* HAVE_LONG_LONG */
-
-VALUE
-rb_cstr2inum(str, base)
- const char *str;
- int base;
-{
- return rb_cstr_to_inum(str, base, base==0);
-}
-
-VALUE
-rb_str2inum(str, base)
- VALUE str;
- int base;
-{
- return rb_str_to_inum(str, base, base==0);
-}
-
-const char ruby_digitmap[] = "0123456789abcdefghijklmnopqrstuvwxyz";
-VALUE
-rb_big2str(x, base)
- VALUE x;
- int base;
-{
- volatile VALUE t;
- BDIGIT *ds;
- long i, j, hbase;
- VALUE ss;
- char *s, c;
-
- if (FIXNUM_P(x)) {
- return rb_fix2str(x, base);
- }
- i = RBIGNUM(x)->len;
- if (BIGZEROP(x)) {
- return rb_str_new2("0");
- }
- j = SIZEOF_BDIGITS*CHAR_BIT*i;
- switch (base) {
- case 2: break;
- case 3:
- j = j * 647L / 1024;
- break;
- case 4: case 5: case 6: case 7:
- j /= 2;
- break;
- case 8: case 9:
- j /= 3;
- break;
- case 10: case 11: case 12: case 13: case 14: case 15:
- j = j * 241L / 800;
- break;
- case 16: case 17: case 18: case 19: case 20: case 21:
- case 22: case 23: case 24: case 25: case 26: case 27:
- case 28: case 29: case 30: case 31:
- j /= 4;
- break;
- case 32: case 33: case 34: case 35: case 36:
- j /= 5;
- break;
- default:
- rb_raise(rb_eArgError, "illegal radix %d", base);
- break;
- }
- j += 2;
-
- hbase = base * base;
-#if SIZEOF_BDIGITS > 2
- hbase *= hbase;
-#endif
-
- t = rb_big_clone(x);
- ds = BDIGITS(t);
- ss = rb_str_new(0, j);
- s = RSTRING(ss)->ptr;
-
- s[0] = RBIGNUM(x)->sign ? '+' : '-';
- while (i && j) {
- long k = i;
- BDIGIT_DBL num = 0;
-
- while (k--) {
- num = BIGUP(num) + ds[k];
- ds[k] = (BDIGIT)(num / hbase);
- num %= hbase;
- }
- if (ds[i-1] == 0) i--;
- k = SIZEOF_BDIGITS;
- while (k--) {
- c = (char)(num % base);
- s[--j] = ruby_digitmap[(int)c];
- num /= base;
- if (i == 0 && num == 0) break;
- }
- }
- while (s[j] == '0') j++;
- RSTRING(ss)->len -= RBIGNUM(x)->sign?j:j-1;
- memmove(RBIGNUM(x)->sign?s:s+1, s+j, RSTRING(ss)->len);
- s[RSTRING(ss)->len] = '\0';
-
- return ss;
-}
-
-/*
- * call-seq:
- * big.to_s(base=10) => string
- *
- * Returns a string containing the representation of <i>big</i> radix
- * <i>base</i> (2 through 36).
- *
- * 12345654321.to_s #=> "12345654321"
- * 12345654321.to_s(2) #=> "1011011111110110111011110000110001"
- * 12345654321.to_s(8) #=> "133766736061"
- * 12345654321.to_s(16) #=> "2dfdbbc31"
- * 78546939656932.to_s(36) #=> "rubyrules"
- */
-
-static VALUE
-rb_big_to_s(argc, argv, x)
- int argc;
- VALUE *argv;
- VALUE x;
-{
- VALUE b;
- int base;
-
- rb_scan_args(argc, argv, "01", &b);
- if (argc == 0) base = 10;
- else base = NUM2INT(b);
- return rb_big2str(x, base);
-}
-
-static unsigned long
-big2ulong(x, type)
- VALUE x;
- char *type;
-{
- long len = RBIGNUM(x)->len;
- BDIGIT_DBL num;
- BDIGIT *ds;
-
- if (len > SIZEOF_LONG/SIZEOF_BDIGITS)
- rb_raise(rb_eRangeError, "bignum too big to convert into `%s'", type);
- ds = BDIGITS(x);
- num = 0;
- while (len--) {
- num = BIGUP(num);
- num += ds[len];
- }
- return num;
-}
-
-unsigned long
-rb_big2ulong_pack(x)
- VALUE x;
-{
- unsigned long num = big2ulong(x, "unsigned long");
- if (!RBIGNUM(x)->sign) {
- return -num;
- }
- return num;
-}
-
-unsigned long
-rb_big2ulong(x)
- VALUE x;
-{
- unsigned long num = big2ulong(x, "unsigned long");
-
- if (!RBIGNUM(x)->sign) {
- if ((long)num < 0) {
- rb_raise(rb_eRangeError, "bignum out of range of unsigned long");
- }
- return -num;
- }
- return num;
-}
-
-long
-rb_big2long(x)
- VALUE x;
-{
- unsigned long num = big2ulong(x, "long");
-
- if ((long)num < 0 && (RBIGNUM(x)->sign || (long)num != LONG_MIN)) {
- rb_raise(rb_eRangeError, "bignum too big to convert into `long'");
- }
- if (!RBIGNUM(x)->sign) return -(long)num;
- return num;
-}
-
-#if HAVE_LONG_LONG
-
-static unsigned LONG_LONG
-big2ull(x, type)
- VALUE x;
- char *type;
-{
- long len = RBIGNUM(x)->len;
- BDIGIT_DBL num;
- BDIGIT *ds;
-
- if (len > SIZEOF_LONG_LONG/SIZEOF_BDIGITS)
- rb_raise(rb_eRangeError, "bignum too big to convert into `%s'", type);
- ds = BDIGITS(x);
- num = 0;
- while (len--) {
- num = BIGUP(num);
- num += ds[len];
- }
- return num;
-}
-
-unsigned LONG_LONG
-rb_big2ull(x)
- VALUE x;
-{
- unsigned LONG_LONG num = big2ull(x, "unsigned long long");
-
- if (!RBIGNUM(x)->sign) return -num;
- return num;
-}
-
-LONG_LONG
-rb_big2ll(x)
- VALUE x;
-{
- unsigned LONG_LONG num = big2ull(x, "long long");
-
- if ((LONG_LONG)num < 0 && (RBIGNUM(x)->sign
- || (LONG_LONG)num != LLONG_MIN)) {
- rb_raise(rb_eRangeError, "bignum too big to convert into `long long'");
- }
- if (!RBIGNUM(x)->sign) return -(LONG_LONG)num;
- return num;
-}
-
-#endif /* HAVE_LONG_LONG */
-
-static VALUE
-dbl2big(d)
- double d;
-{
- long i = 0;
- BDIGIT c;
- BDIGIT *digits;
- VALUE z;
- double u = (d < 0)?-d:d;
-
- if (isinf(d)) {
- rb_raise(rb_eFloatDomainError, d < 0 ? "-Infinity" : "Infinity");
- }
- if (isnan(d)) {
- rb_raise(rb_eFloatDomainError, "NaN");
- }
-
- while (!POSFIXABLE(u) || 0 != (long)u) {
- u /= (double)(BIGRAD);
- i++;
- }
- z = bignew(i, d>=0);
- digits = BDIGITS(z);
- while (i--) {
- u *= BIGRAD;
- c = (BDIGIT)u;
- u -= c;
- digits[i] = c;
- }
-
- return z;
-}
-
-VALUE
-rb_dbl2big(d)
- double d;
-{
- return bignorm(dbl2big(d));
-}
-
-double
-rb_big2dbl(x)
- VALUE x;
-{
- double d = 0.0;
- long i = RBIGNUM(x)->len;
- BDIGIT *ds = BDIGITS(x);
-
- while (i--) {
- d = ds[i] + BIGRAD*d;
- }
- if (isinf(d)) {
- rb_warn("Bignum out of Float range");
- d = HUGE_VAL;
- }
- if (!RBIGNUM(x)->sign) d = -d;
- return d;
-}
-
-/*
- * call-seq:
- * big.to_f -> float
- *
- * Converts <i>big</i> to a <code>Float</code>. If <i>big</i> doesn't
- * fit in a <code>Float</code>, the result is infinity.
- *
- */
-
-static VALUE
-rb_big_to_f(x)
- VALUE x;
-{
- return rb_float_new(rb_big2dbl(x));
-}
-
-/*
- * call-seq:
- * big <=> numeric => -1, 0, +1
- *
- * Comparison---Returns -1, 0, or +1 depending on whether <i>big</i> is
- * less than, equal to, or greater than <i>numeric</i>. This is the
- * basis for the tests in <code>Comparable</code>.
- *
- */
-
-static VALUE
-rb_big_cmp(x, y)
- VALUE x, y;
-{
- long xlen = RBIGNUM(x)->len;
-
- switch (TYPE(y)) {
- case T_FIXNUM:
- y = rb_int2big(FIX2LONG(y));
- break;
-
- case T_BIGNUM:
- break;
-
- case T_FLOAT:
- return rb_dbl_cmp(rb_big2dbl(x), RFLOAT(y)->value);
-
- default:
- return rb_num_coerce_cmp(x, y);
- }
-
- if (RBIGNUM(x)->sign > RBIGNUM(y)->sign) return INT2FIX(1);
- if (RBIGNUM(x)->sign < RBIGNUM(y)->sign) return INT2FIX(-1);
- if (xlen < RBIGNUM(y)->len)
- return (RBIGNUM(x)->sign) ? INT2FIX(-1) : INT2FIX(1);
- if (xlen > RBIGNUM(y)->len)
- return (RBIGNUM(x)->sign) ? INT2FIX(1) : INT2FIX(-1);
-
- while(xlen-- && (BDIGITS(x)[xlen]==BDIGITS(y)[xlen]));
- if (-1 == xlen) return INT2FIX(0);
- return (BDIGITS(x)[xlen] > BDIGITS(y)[xlen]) ?
- (RBIGNUM(x)->sign ? INT2FIX(1) : INT2FIX(-1)) :
- (RBIGNUM(x)->sign ? INT2FIX(-1) : INT2FIX(1));
-}
-
-/*
- * call-seq:
- * big == obj => true or false
- *
- * Returns <code>true</code> only if <i>obj</i> has the same value
- * as <i>big</i>. Contrast this with <code>Bignum#eql?</code>, which
- * requires <i>obj</i> to be a <code>Bignum</code>.
- *
- * 68719476736 == 68719476736.0 #=> true
- */
-
-static VALUE
-rb_big_eq(x, y)
- VALUE x, y;
-{
- switch (TYPE(y)) {
- case T_FIXNUM:
- y = rb_int2big(FIX2LONG(y));
- break;
- case T_BIGNUM:
- break;
- case T_FLOAT:
- {
- volatile double a, b;
-
- a = RFLOAT(y)->value;
- if (isnan(a)) return Qfalse;
- b = rb_big2dbl(x);
- return (a == b)?Qtrue:Qfalse;
- }
- default:
- return rb_equal(y, x);
- }
- if (RBIGNUM(x)->sign != RBIGNUM(y)->sign) return Qfalse;
- if (RBIGNUM(x)->len != RBIGNUM(y)->len) return Qfalse;
- if (MEMCMP(BDIGITS(x),BDIGITS(y),BDIGIT,RBIGNUM(y)->len) != 0) return Qfalse;
- return Qtrue;
-}
-
-/*
- * call-seq:
- * big.eql?(obj) => true or false
- *
- * Returns <code>true</code> only if <i>obj</i> is a
- * <code>Bignum</code> with the same value as <i>big</i>. Contrast this
- * with <code>Bignum#==</code>, which performs type conversions.
- *
- * 68719476736.eql?(68719476736.0) #=> false
- */
-
-static VALUE
-rb_big_eql(x, y)
- VALUE x, y;
-{
- if (TYPE(y) != T_BIGNUM) return Qfalse;
- if (RBIGNUM(x)->sign != RBIGNUM(y)->sign) return Qfalse;
- if (RBIGNUM(x)->len != RBIGNUM(y)->len) return Qfalse;
- if (MEMCMP(BDIGITS(x),BDIGITS(y),BDIGIT,RBIGNUM(y)->len) != 0) return Qfalse;
- return Qtrue;
-}
-
-/*
- * call-seq:
- * -big => other_big
- *
- * Unary minus (returns a new Bignum whose value is 0-big)
- */
-
-static VALUE
-rb_big_uminus(x)
- VALUE x;
-{
- VALUE z = rb_big_clone(x);
-
- RBIGNUM(z)->sign = !RBIGNUM(x)->sign;
-
- return bignorm(z);
-}
-
-/*
- * call-seq:
- * ~big => integer
- *
- * Inverts the bits in big. As Bignums are conceptually infinite
- * length, the result acts as if it had an infinite number of one
- * bits to the left. In hex representations, this is displayed
- * as two periods to the left of the digits.
- *
- * sprintf("%X", ~0x1122334455) #=> "..FEEDDCCBBAA"
- */
-
-static VALUE
-rb_big_neg(x)
- VALUE x;
-{
- VALUE z = rb_big_clone(x);
- long i;
- BDIGIT *ds;
-
- if (!RBIGNUM(x)->sign) get2comp(z);
- ds = BDIGITS(z);
- i = RBIGNUM(x)->len;
- while (i--) ds[i] = ~ds[i];
- RBIGNUM(z)->sign = !RBIGNUM(z)->sign;
- if (RBIGNUM(x)->sign) get2comp(z);
-
- return bignorm(z);
-}
-
-static VALUE
-bigsub(x, y)
- VALUE x, y;
-{
- VALUE z = 0;
- BDIGIT *zds;
- BDIGIT_DBL_SIGNED num;
- long i = RBIGNUM(x)->len;
-
- /* if x is larger than y, swap */
- if (RBIGNUM(x)->len < RBIGNUM(y)->len) {
- z = x; x = y; y = z; /* swap x y */
- }
- else if (RBIGNUM(x)->len == RBIGNUM(y)->len) {
- while (i > 0) {
- i--;
- if (BDIGITS(x)[i] > BDIGITS(y)[i]) {
- break;
- }
- if (BDIGITS(x)[i] < BDIGITS(y)[i]) {
- z = x; x = y; y = z; /* swap x y */
- break;
- }
- }
- }
-
- z = bignew(RBIGNUM(x)->len, z==0);
- zds = BDIGITS(z);
-
- for (i = 0, num = 0; i < RBIGNUM(y)->len; i++) {
- num += (BDIGIT_DBL_SIGNED)BDIGITS(x)[i] - BDIGITS(y)[i];
- zds[i] = BIGLO(num);
- num = BIGDN(num);
- }
- while (num && i < RBIGNUM(x)->len) {
- num += BDIGITS(x)[i];
- zds[i++] = BIGLO(num);
- num = BIGDN(num);
- }
- while (i < RBIGNUM(x)->len) {
- zds[i] = BDIGITS(x)[i];
- i++;
- }
-
- return z;
-}
-
-static VALUE
-bigadd(x, y, sign)
- VALUE x, y;
- int sign;
-{
- VALUE z;
- BDIGIT_DBL num;
- long i, len;
-
- sign = (sign == RBIGNUM(y)->sign);
- if (RBIGNUM(x)->sign != sign) {
- if (sign) return bigsub(y, x);
- return bigsub(x, y);
- }
-
- if (RBIGNUM(x)->len > RBIGNUM(y)->len) {
- len = RBIGNUM(x)->len + 1;
- z = x; x = y; y = z;
- }
- else {
- len = RBIGNUM(y)->len + 1;
- }
- z = bignew(len, sign);
-
- len = RBIGNUM(x)->len;
- for (i = 0, num = 0; i < len; i++) {
- num += (BDIGIT_DBL)BDIGITS(x)[i] + BDIGITS(y)[i];
- BDIGITS(z)[i] = BIGLO(num);
- num = BIGDN(num);
- }
- len = RBIGNUM(y)->len;
- while (num && i < len) {
- num += BDIGITS(y)[i];
- BDIGITS(z)[i++] = BIGLO(num);
- num = BIGDN(num);
- }
- while (i < len) {
- BDIGITS(z)[i] = BDIGITS(y)[i];
- i++;
- }
- BDIGITS(z)[i] = (BDIGIT)num;
-
- return z;
-}
-
-/*
- * call-seq:
- * big + other => Numeric
- *
- * Adds big and other, returning the result.
- */
-
-VALUE
-rb_big_plus(x, y)
- VALUE x, y;
-{
- switch (TYPE(y)) {
- case T_FIXNUM:
- y = rb_int2big(FIX2LONG(y));
- /* fall through */
- case T_BIGNUM:
- return bignorm(bigadd(x, y, 1));
-
- case T_FLOAT:
- return rb_float_new(rb_big2dbl(x) + RFLOAT(y)->value);
-
- default:
- return rb_num_coerce_bin(x, y);
- }
-}
-
-/*
- * call-seq:
- * big - other => Numeric
- *
- * Subtracts other from big, returning the result.
- */
-
-VALUE
-rb_big_minus(x, y)
- VALUE x, y;
-{
- switch (TYPE(y)) {
- case T_FIXNUM:
- y = rb_int2big(FIX2LONG(y));
- /* fall through */
- case T_BIGNUM:
- return bignorm(bigadd(x, y, 0));
-
- case T_FLOAT:
- return rb_float_new(rb_big2dbl(x) - RFLOAT(y)->value);
-
- default:
- return rb_num_coerce_bin(x, y);
- }
-}
-
-/*
- * call-seq:
- * big * other => Numeric
- *
- * Multiplies big and other, returning the result.
- */
-
-VALUE
-rb_big_mul(x, y)
- VALUE x, y;
-{
- long i, j;
- BDIGIT_DBL n = 0;
- VALUE z;
- BDIGIT *zds;
-
- if (FIXNUM_P(x)) x = rb_int2big(FIX2LONG(x));
- switch (TYPE(y)) {
- case T_FIXNUM:
- y = rb_int2big(FIX2LONG(y));
- break;
-
- case T_BIGNUM:
- break;
-
- case T_FLOAT:
- return rb_float_new(rb_big2dbl(x) * RFLOAT(y)->value);
-
- default:
- return rb_num_coerce_bin(x, y);
- }
-
- j = RBIGNUM(x)->len + RBIGNUM(y)->len + 1;
- z = bignew(j, RBIGNUM(x)->sign==RBIGNUM(y)->sign);
- zds = BDIGITS(z);
- while (j--) zds[j] = 0;
- for (i = 0; i < RBIGNUM(x)->len; i++) {
- BDIGIT_DBL dd = BDIGITS(x)[i];
- if (dd == 0) continue;
- n = 0;
- for (j = 0; j < RBIGNUM(y)->len; j++) {
- BDIGIT_DBL ee = n + (BDIGIT_DBL)dd * BDIGITS(y)[j];
- n = zds[i + j] + ee;
- if (ee) zds[i + j] = BIGLO(n);
- n = BIGDN(n);
- }
- if (n) {
- zds[i + j] = n;
- }
- }
-
- return bignorm(z);
-}
-
-static void
-bigdivrem(x, y, divp, modp)
- VALUE x, y;
- VALUE *divp, *modp;
-{
- long nx = RBIGNUM(x)->len, ny = RBIGNUM(y)->len;
- long i, j;
- VALUE yy, z;
- BDIGIT *xds, *yds, *zds, *tds;
- BDIGIT_DBL t2;
- BDIGIT_DBL_SIGNED num;
- BDIGIT dd, q;
-
- if (BIGZEROP(y)) rb_num_zerodiv();
- yds = BDIGITS(y);
- if (nx < ny || (nx == ny && BDIGITS(x)[nx - 1] < BDIGITS(y)[ny - 1])) {
- if (divp) *divp = rb_int2big(0);
- if (modp) *modp = x;
- return;
- }
- xds = BDIGITS(x);
- if (ny == 1) {
- dd = yds[0];
- z = rb_big_clone(x);
- zds = BDIGITS(z);
- t2 = 0; i = nx;
- while (i--) {
- t2 = BIGUP(t2) + zds[i];
- zds[i] = (BDIGIT)(t2 / dd);
- t2 %= dd;
- }
- RBIGNUM(z)->sign = RBIGNUM(x)->sign==RBIGNUM(y)->sign;
- if (modp) {
- *modp = rb_uint2big((unsigned long)t2);
- RBIGNUM(*modp)->sign = RBIGNUM(x)->sign;
- }
- if (divp) *divp = z;
- return;
- }
- z = bignew(nx==ny?nx+2:nx+1, RBIGNUM(x)->sign==RBIGNUM(y)->sign);
- zds = BDIGITS(z);
- if (nx==ny) zds[nx+1] = 0;
- while (!yds[ny-1]) ny--;
-
- dd = 0;
- q = yds[ny-1];
- while ((q & (1<<(BITSPERDIG-1))) == 0) {
- q <<= 1;
- dd++;
- }
- if (dd) {
- yy = rb_big_clone(y);
- tds = BDIGITS(yy);
- j = 0;
- t2 = 0;
- while (j<ny) {
- t2 += (BDIGIT_DBL)yds[j]<<dd;
- tds[j++] = BIGLO(t2);
- t2 = BIGDN(t2);
- }
- yds = tds;
- j = 0;
- t2 = 0;
- while (j<nx) {
- t2 += (BDIGIT_DBL)xds[j]<<dd;
- zds[j++] = BIGLO(t2);
- t2 = BIGDN(t2);
- }
- zds[j] = (BDIGIT)t2;
- }
- else {
- zds[nx] = 0;
- j = nx;
- while (j--) zds[j] = xds[j];
- }
-
- j = nx==ny?nx+1:nx;
- do {
- if (zds[j] == yds[ny-1]) q = BIGRAD-1;
- else q = (BDIGIT)((BIGUP(zds[j]) + zds[j-1])/yds[ny-1]);
- if (q) {
- i = 0; num = 0; t2 = 0;
- do { /* multiply and subtract */
- BDIGIT_DBL ee;
- t2 += (BDIGIT_DBL)yds[i] * q;
- ee = num - BIGLO(t2);
- num = (BDIGIT_DBL)zds[j - ny + i] + ee;
- if (ee) zds[j - ny + i] = BIGLO(num);
- num = BIGDN(num);
- t2 = 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; q--;
- do {
- BDIGIT_DBL ee = num + yds[i];
- num = (BDIGIT_DBL)zds[j - ny + i] + ee;
- if (ee) zds[j - ny + i] = BIGLO(num);
- num = BIGDN(num);
- } while (++i < ny);
- num--;
- }
- }
- zds[j] = q;
- } while (--j >= ny);
- if (divp) { /* move quotient down in z */
- *divp = rb_big_clone(z);
- zds = BDIGITS(*divp);
- j = (nx==ny ? nx+2 : nx+1) - ny;
- for (i = 0;i < j;i++) zds[i] = zds[i+ny];
- RBIGNUM(*divp)->len = i;
- }
- if (modp) { /* normalize remainder */
- *modp = rb_big_clone(z);
- zds = BDIGITS(*modp);
- while (--ny && !zds[ny]); ++ny;
- if (dd) {
- t2 = 0; i = ny;
- while(i--) {
- t2 = (t2 | zds[i]) >> dd;
- q = zds[i];
- zds[i] = BIGLO(t2);
- t2 = BIGUP(q);
- }
- }
- RBIGNUM(*modp)->len = ny;
- RBIGNUM(*modp)->sign = RBIGNUM(x)->sign;
- }
-}
-
-static void
-bigdivmod(x, y, divp, modp)
- VALUE x, y;
- VALUE *divp, *modp;
-{
- VALUE mod;
-
- bigdivrem(x, y, divp, &mod);
- if (RBIGNUM(x)->sign != RBIGNUM(y)->sign && !BIGZEROP(mod)) {
- if (divp) *divp = bigadd(*divp, rb_int2big(1), 0);
- if (modp) *modp = bigadd(mod, y, 1);
- }
- else {
- if (divp) *divp = *divp;
- if (modp) *modp = mod;
- }
-}
-
-/*
- * call-seq:
- * big / other => Numeric
- * big.div(other) => Numeric
- *
- * Divides big by other, returning the result.
- */
-
-static VALUE
-rb_big_div(x, y)
- VALUE x, y;
-{
- VALUE z;
-
- switch (TYPE(y)) {
- case T_FIXNUM:
- y = rb_int2big(FIX2LONG(y));
- break;
-
- case T_BIGNUM:
- break;
-
- case T_FLOAT:
- return rb_float_new(rb_big2dbl(x) / RFLOAT(y)->value);
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- bigdivmod(x, y, &z, 0);
-
- return bignorm(z);
-}
-
-/*
- * call-seq:
- * big % other => Numeric
- * big.modulo(other) => Numeric
- *
- * Returns big modulo other. See Numeric.divmod for more
- * information.
- */
-
-static VALUE
-rb_big_modulo(x, y)
- VALUE x, y;
-{
- VALUE z;
-
- switch (TYPE(y)) {
- case T_FIXNUM:
- y = rb_int2big(FIX2LONG(y));
- break;
-
- case T_BIGNUM:
- break;
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- bigdivmod(x, y, 0, &z);
-
- return bignorm(z);
-}
-
-/*
- * call-seq:
- * big.remainder(numeric) => number
- *
- * Returns the remainder after dividing <i>big</i> by <i>numeric</i>.
- *
- * -1234567890987654321.remainder(13731) #=> -6966
- * -1234567890987654321.remainder(13731.24) #=> -9906.22531493148
- */
-static VALUE
-rb_big_remainder(x, y)
- VALUE x, y;
-{
- VALUE z;
-
- switch (TYPE(y)) {
- case T_FIXNUM:
- y = rb_int2big(FIX2LONG(y));
- break;
-
- case T_BIGNUM:
- break;
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- bigdivrem(x, y, 0, &z);
-
- return bignorm(z);
-}
-
-/*
- * call-seq:
- * big.divmod(numeric) => array
- *
- * See <code>Numeric#divmod</code>.
- *
- */
-VALUE
-rb_big_divmod(x, y)
- VALUE x, y;
-{
- VALUE div, mod;
-
- switch (TYPE(y)) {
- case T_FIXNUM:
- y = rb_int2big(FIX2LONG(y));
- break;
-
- case T_BIGNUM:
- break;
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- bigdivmod(x, y, &div, &mod);
-
- return rb_assoc_new(bignorm(div), bignorm(mod));
-}
-
-/*
- * call-seq:
- * big.quo(numeric) -> float
- *
- * Returns the floating point result of dividing <i>big</i> by
- * <i>numeric</i>.
- *
- * -1234567890987654321.quo(13731) #=> -89910996357705.5
- * -1234567890987654321.quo(13731.24) #=> -89909424858035.7
- *
- */
-
-static VALUE
-rb_big_quo(x, y)
- VALUE x, y;
-{
- double dx = rb_big2dbl(x);
- double dy;
-
- switch (TYPE(y)) {
- case T_FIXNUM:
- dy = (double)FIX2LONG(y);
- break;
-
- case T_BIGNUM:
- dy = rb_big2dbl(y);
- break;
-
- case T_FLOAT:
- dy = RFLOAT(y)->value;
- break;
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- return rb_float_new(dx / dy);
-}
-
-/*
- * call-seq:
- * big ** exponent #=> numeric
- *
- * Raises _big_ to the _exponent_ power (which may be an integer, float,
- * or anything that will coerce to a number). The result may be
- * a Fixnum, Bignum, or Float
- *
- * 123456789 ** 2 #=> 15241578750190521
- * 123456789 ** 1.2 #=> 5126464716.09932
- * 123456789 ** -2 #=> 6.5610001194102e-17
- */
-
-VALUE
-rb_big_pow(x, y)
- VALUE x, y;
-{
- double d;
- long yy;
-
- if (y == INT2FIX(0)) return INT2FIX(1);
- switch (TYPE(y)) {
- case T_FLOAT:
- d = RFLOAT(y)->value;
- break;
-
- case T_BIGNUM:
- rb_warn("in a**b, b may be too big");
- d = rb_big2dbl(y);
- break;
-
- case T_FIXNUM:
- yy = FIX2LONG(y);
- if (yy > 0) {
- VALUE z = x;
-
- if (RBIGNUM(x)->len * SIZEOF_BDIGITS * yy > 1024*1024) {
- rb_warn("in a**b, b may be too big");
- d = (double)yy;
- break;
- }
- for (;;) {
- yy -= 1;
- if (yy == 0) break;
- while (yy % 2 == 0) {
- yy /= 2;
- x = rb_big_mul(x, x);
- }
- z = rb_big_mul(z, x);
- }
- return bignorm(z);
- }
- d = (double)yy;
- break;
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- return rb_float_new(pow(rb_big2dbl(x), d));
-}
-
-/*
- * call-seq:
- * big & numeric => integer
- *
- * Performs bitwise +and+ between _big_ and _numeric_.
- */
-
-VALUE
-rb_big_and(xx, yy)
- VALUE xx, yy;
-{
- volatile VALUE x, y, z;
- BDIGIT *ds1, *ds2, *zds;
- long i, l1, l2;
- char sign;
-
- x = xx;
- y = rb_to_int(yy);
- if (FIXNUM_P(y)) {
- y = rb_int2big(FIX2LONG(y));
- }
- if (!RBIGNUM(y)->sign) {
- y = rb_big_clone(y);
- get2comp(y);
- }
- if (!RBIGNUM(x)->sign) {
- x = rb_big_clone(x);
- get2comp(x);
- }
- if (RBIGNUM(x)->len > RBIGNUM(y)->len) {
- l1 = RBIGNUM(y)->len;
- l2 = RBIGNUM(x)->len;
- ds1 = BDIGITS(y);
- ds2 = BDIGITS(x);
- sign = RBIGNUM(y)->sign;
- }
- else {
- l1 = RBIGNUM(x)->len;
- l2 = RBIGNUM(y)->len;
- ds1 = BDIGITS(x);
- ds2 = BDIGITS(y);
- sign = RBIGNUM(x)->sign;
- }
- z = bignew(l2, RBIGNUM(x)->sign || RBIGNUM(y)->sign);
- zds = BDIGITS(z);
-
- for (i=0; i<l1; i++) {
- zds[i] = ds1[i] & ds2[i];
- }
- for (; i<l2; i++) {
- zds[i] = sign?0:ds2[i];
- }
- if (!RBIGNUM(z)->sign) get2comp(z);
- return bignorm(z);
-}
-
-/*
- * call-seq:
- * big | numeric => integer
- *
- * Performs bitwise +or+ between _big_ and _numeric_.
- */
-
-VALUE
-rb_big_or(xx, yy)
- VALUE xx, yy;
-{
- volatile VALUE x, y, z;
- BDIGIT *ds1, *ds2, *zds;
- long i, l1, l2;
- char sign;
-
- x = xx;
- y = rb_to_int(yy);
- if (FIXNUM_P(y)) {
- y = rb_int2big(FIX2LONG(y));
- }
- if (!RBIGNUM(y)->sign) {
- y = rb_big_clone(y);
- get2comp(y);
- }
- if (!RBIGNUM(x)->sign) {
- x = rb_big_clone(x);
- get2comp(x);
- }
- if (RBIGNUM(x)->len > RBIGNUM(y)->len) {
- l1 = RBIGNUM(y)->len;
- l2 = RBIGNUM(x)->len;
- ds1 = BDIGITS(y);
- ds2 = BDIGITS(x);
- sign = RBIGNUM(y)->sign;
- }
- else {
- l1 = RBIGNUM(x)->len;
- l2 = RBIGNUM(y)->len;
- ds1 = BDIGITS(x);
- ds2 = BDIGITS(y);
- sign = RBIGNUM(x)->sign;
- }
- z = bignew(l2, RBIGNUM(x)->sign && RBIGNUM(y)->sign);
- zds = BDIGITS(z);
-
- for (i=0; i<l1; i++) {
- zds[i] = ds1[i] | ds2[i];
- }
- for (; i<l2; i++) {
- zds[i] = sign?ds2[i]:(BIGRAD-1);
- }
- if (!RBIGNUM(z)->sign) get2comp(z);
-
- return bignorm(z);
-}
-
-/*
- * call-seq:
- * big ^ numeric => integer
- *
- * Performs bitwise +exclusive or+ between _big_ and _numeric_.
- */
-
-VALUE
-rb_big_xor(xx, yy)
- VALUE xx, yy;
-{
- volatile VALUE x, y;
- VALUE z;
- BDIGIT *ds1, *ds2, *zds;
- long i, l1, l2;
- char sign;
-
- x = xx;
- y = rb_to_int(yy);
- if (FIXNUM_P(y)) {
- y = rb_int2big(FIX2LONG(y));
- }
- if (!RBIGNUM(y)->sign) {
- y = rb_big_clone(y);
- get2comp(y);
- }
- if (!RBIGNUM(x)->sign) {
- x = rb_big_clone(x);
- get2comp(x);
- }
- if (RBIGNUM(x)->len > RBIGNUM(y)->len) {
- l1 = RBIGNUM(y)->len;
- l2 = RBIGNUM(x)->len;
- ds1 = BDIGITS(y);
- ds2 = BDIGITS(x);
- sign = RBIGNUM(y)->sign;
- }
- else {
- l1 = RBIGNUM(x)->len;
- l2 = RBIGNUM(y)->len;
- ds1 = BDIGITS(x);
- ds2 = BDIGITS(y);
- sign = RBIGNUM(x)->sign;
- }
- RBIGNUM(x)->sign = RBIGNUM(x)->sign?1:0;
- RBIGNUM(y)->sign = RBIGNUM(y)->sign?1:0;
- z = bignew(l2, !(RBIGNUM(x)->sign ^ RBIGNUM(y)->sign));
- zds = BDIGITS(z);
-
- for (i=0; i<l1; i++) {
- zds[i] = ds1[i] ^ ds2[i];
- }
- for (; i<l2; i++) {
- zds[i] = sign?ds2[i]:~ds2[i];
- }
- if (!RBIGNUM(z)->sign) get2comp(z);
-
- return bignorm(z);
-}
-
-static VALUE rb_big_rshift _((VALUE,VALUE));
-
-/*
- * call-seq:
- * big << numeric => integer
- *
- * Shifts big left _numeric_ positions (right if _numeric_ is negative).
- */
-
-VALUE
-rb_big_lshift(x, y)
- VALUE x, y;
-{
- BDIGIT *xds, *zds;
- int shift = NUM2INT(y);
- int s1 = shift/BITSPERDIG;
- int s2 = shift%BITSPERDIG;
- VALUE z;
- BDIGIT_DBL num = 0;
- long len, i;
-
- if (shift < 0) return rb_big_rshift(x, INT2FIX(-shift));
- len = RBIGNUM(x)->len;
- z = bignew(len+s1+1, RBIGNUM(x)->sign);
- zds = BDIGITS(z);
- for (i=0; i<s1; i++) {
- *zds++ = 0;
- }
- xds = BDIGITS(x);
- for (i=0; i<len; i++) {
- num = num | (BDIGIT_DBL)*xds++<<s2;
- *zds++ = BIGLO(num);
- num = BIGDN(num);
- }
- *zds = BIGLO(num);
- return bignorm(z);
-}
-
-/*
- * call-seq:
- * big >> numeric => integer
- *
- * Shifts big right _numeric_ positions (left if _numeric_ is negative).
- */
-
-static VALUE
-rb_big_rshift(x, y)
- VALUE x, y;
-{
- BDIGIT *xds, *zds;
- int shift = NUM2INT(y);
- long s1 = shift/BITSPERDIG;
- long s2 = shift%BITSPERDIG;
- VALUE z;
- BDIGIT_DBL num = 0;
- long i, j;
- volatile VALUE save_x;
-
- if (shift < 0) return rb_big_lshift(x, INT2FIX(-shift));
-
- if (s1 > RBIGNUM(x)->len) {
- if (RBIGNUM(x)->sign)
- return INT2FIX(0);
- else
- return INT2FIX(-1);
- }
- if (!RBIGNUM(x)->sign) {
- save_x = x = rb_big_clone(x);
- get2comp(x);
- }
- xds = BDIGITS(x);
- i = RBIGNUM(x)->len; j = i - s1;
- z = bignew(j, RBIGNUM(x)->sign);
- if (!RBIGNUM(x)->sign) {
- num = ((BDIGIT_DBL)~0) << BITSPERDIG;
- }
- zds = BDIGITS(z);
- while (i--, j--) {
- num = (num | xds[i]) >> s2;
- zds[j] = BIGLO(num);
- num = BIGUP(xds[i]);
- }
- if (!RBIGNUM(x)->sign) {
- get2comp(z);
- }
- return bignorm(z);
-}
-
-/*
- * call-seq:
- * big[n] -> 0, 1
- *
- * Bit Reference---Returns the <em>n</em>th bit in the (assumed) binary
- * representation of <i>big</i>, where <i>big</i>[0] is the least
- * significant bit.
- *
- * a = 9**15
- * 50.downto(0) do |n|
- * print a[n]
- * end
- *
- * <em>produces:</em>
- *
- * 000101110110100000111000011110010100111100010111001
- *
- */
-
-static VALUE
-rb_big_aref(x, y)
- VALUE x, y;
-{
- BDIGIT *xds;
- int shift;
- long s1, s2;
-
- if (TYPE(y) == T_BIGNUM) {
- if (!RBIGNUM(y)->sign || RBIGNUM(x)->sign)
- return INT2FIX(0);
- return INT2FIX(1);
- }
- shift = NUM2INT(y);
- if (shift < 0) return INT2FIX(0);
- s1 = shift/BITSPERDIG;
- s2 = shift%BITSPERDIG;
-
- if (!RBIGNUM(x)->sign) {
- if (s1 >= RBIGNUM(x)->len) return INT2FIX(1);
- x = rb_big_clone(x);
- get2comp(x);
- }
- else {
- if (s1 >= RBIGNUM(x)->len) return INT2FIX(0);
- }
- xds = BDIGITS(x);
- if (xds[s1] & (1<<s2))
- return INT2FIX(1);
- return INT2FIX(0);
-}
-
-/*
- * call-seq:
- * big.hash => fixnum
- *
- * Compute a hash based on the value of _big_.
- */
-
-static VALUE
-rb_big_hash(x)
- VALUE x;
-{
- long i, len, key;
- BDIGIT *digits;
-
- key = 0; digits = BDIGITS(x); len = RBIGNUM(x)->len;
- for (i=0; i<len; i++) {
- key ^= *digits++;
- }
- return LONG2FIX(key);
-}
-
-/*
- * MISSING: documentation
- */
-
-static VALUE
-rb_big_coerce(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- return rb_assoc_new(rb_int2big(FIX2LONG(y)), x);
- }
- else if (TYPE(y) == T_BIGNUM) {
- return rb_assoc_new(y, x);
- }
- else {
- rb_raise(rb_eTypeError, "can't coerce %s to Bignum",
- rb_obj_classname(y));
- }
- /* not reached */
- return Qnil;
-}
-
-/*
- * call-seq:
- * big.abs -> aBignum
- *
- * Returns the absolute value of <i>big</i>.
- *
- * -1234567890987654321.abs #=> 1234567890987654321
- */
-
-static VALUE
-rb_big_abs(x)
- VALUE x;
-{
- if (!RBIGNUM(x)->sign) {
- x = rb_big_clone(x);
- RBIGNUM(x)->sign = 1;
- }
- return x;
-}
-
-VALUE
-rb_big_rand(max, rand_buf)
- VALUE max;
- double *rand_buf;
-{
- VALUE v;
- long len = RBIGNUM(max)->len;
-
- if (BIGZEROP(max)) {
- return rb_float_new(rand_buf[0]);
- }
- v = bignew(len,1);
- len--;
- BDIGITS(v)[len] = BDIGITS(max)[len] * rand_buf[len];
- while (len--) {
- BDIGITS(v)[len] = ((BDIGIT)~0) * rand_buf[len];
- }
-
- return v;
-}
-
-/*
- * call-seq:
- * big.size -> integer
- *
- * Returns the number of bytes in the machine representation of
- * <i>big</i>.
- *
- * (256**10 - 1).size #=> 12
- * (256**20 - 1).size #=> 20
- * (256**40 - 1).size #=> 40
- */
-
-static VALUE
-rb_big_size(big)
- VALUE big;
-{
- return LONG2FIX(RBIGNUM(big)->len*SIZEOF_BDIGITS);
-}
-
-/*
- * Bignum objects hold integers outside the range of
- * Fixnum. Bignum objects are created
- * automatically when integer calculations would otherwise overflow a
- * Fixnum. When a calculation involving
- * Bignum objects returns a result that will fit in a
- * Fixnum, the result is automatically converted.
- *
- * For the purposes of the bitwise operations and <code>[]</code>, a
- * Bignum is treated as if it were an infinite-length
- * bitstring with 2's complement representation.
- *
- * While Fixnum values are immediate, Bignum
- * objects are not---assignment and parameter passing work with
- * references to objects, not the objects themselves.
- *
- */
-
-void
-Init_Bignum()
-{
- rb_cBignum = rb_define_class("Bignum", rb_cInteger);
-
- rb_define_method(rb_cBignum, "to_s", rb_big_to_s, -1);
- rb_define_method(rb_cBignum, "coerce", rb_big_coerce, 1);
- rb_define_method(rb_cBignum, "-@", rb_big_uminus, 0);
- rb_define_method(rb_cBignum, "+", rb_big_plus, 1);
- rb_define_method(rb_cBignum, "-", rb_big_minus, 1);
- rb_define_method(rb_cBignum, "*", rb_big_mul, 1);
- rb_define_method(rb_cBignum, "/", rb_big_div, 1);
- rb_define_method(rb_cBignum, "%", rb_big_modulo, 1);
- rb_define_method(rb_cBignum, "div", rb_big_div, 1);
- rb_define_method(rb_cBignum, "divmod", rb_big_divmod, 1);
- rb_define_method(rb_cBignum, "modulo", rb_big_modulo, 1);
- rb_define_method(rb_cBignum, "remainder", rb_big_remainder, 1);
- rb_define_method(rb_cBignum, "quo", rb_big_quo, 1);
- rb_define_method(rb_cBignum, "**", rb_big_pow, 1);
- rb_define_method(rb_cBignum, "&", rb_big_and, 1);
- rb_define_method(rb_cBignum, "|", rb_big_or, 1);
- rb_define_method(rb_cBignum, "^", rb_big_xor, 1);
- rb_define_method(rb_cBignum, "~", rb_big_neg, 0);
- rb_define_method(rb_cBignum, "<<", rb_big_lshift, 1);
- rb_define_method(rb_cBignum, ">>", rb_big_rshift, 1);
- rb_define_method(rb_cBignum, "[]", rb_big_aref, 1);
-
- rb_define_method(rb_cBignum, "<=>", rb_big_cmp, 1);
- rb_define_method(rb_cBignum, "==", rb_big_eq, 1);
- rb_define_method(rb_cBignum, "eql?", rb_big_eql, 1);
- rb_define_method(rb_cBignum, "hash", rb_big_hash, 0);
- rb_define_method(rb_cBignum, "to_f", rb_big_to_f, 0);
- rb_define_method(rb_cBignum, "abs", rb_big_abs, 0);
- rb_define_method(rb_cBignum, "size", rb_big_size, 0);
-}
generated by cgit v1.2.3 (git 2.25.1) at 2024-04-25 16:55:30 +0000