gem5  v21.2.1.1
sc_signed.cc
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20 /*****************************************************************************
21 
22  sc_signed.cpp -- Arbitrary precision signed arithmetic.
23 
24  This file includes the definitions of sc_signed_bitref,
25  sc_signed_subref, and sc_signed classes. The first two
26  classes are proxy classes to reference one bit and a range
27  of bits of a sc_signed number, respectively. This file also
28  includes sc_nbcommon.cpp and sc_nbfriends.cpp, which
29  contain the definitions shared by sc_unsigned.
30 
31  Original Author: Ali Dasdan, Synopsys, Inc.
32 
33  *****************************************************************************/
34 
35 /*****************************************************************************
36 
37  MODIFICATION LOG - modifiers, enter your name, affiliation, date and
38  changes you are making here.
39 
40  Name, Affiliation, Date:
41  Description of Modification:
42 
43  *****************************************************************************/
44 
45 
46 // $Log: sc_signed.cpp,v $
47 // Revision 1.6 2011/02/18 20:19:15 acg
48 // Andy Goodrich: updating Copyright notice.
49 //
50 // Revision 1.5 2008/12/10 20:38:45 acg
51 // Andy Goodrich: fixed conversion of double values to the digits vector.
52 // The bits above the radix were not being masked off.
53 //
54 // Revision 1.4 2008/06/19 17:47:56 acg
55 // Andy Goodrich: fixes for bugs. See 2.2.1 RELEASENOTES.
56 //
57 // Revision 1.3 2008/04/29 21:20:41 acg
58 // Andy Goodrich: added mask to first word transferred when processing
59 // a negative sc_signed value in sc_signed::concat_get_data().
60 //
61 // Revision 1.2 2007/11/04 21:27:00 acg
62 // Andy Goodrich: changes to make sure the proper value is returned from
63 // concat_get_data().
64 //
65 // Revision 1.1.1.1 2006/12/15 20:20:05 acg
66 // SystemC 2.3
67 //
68 // Revision 1.5 2006/10/23 19:32:47 acg
69 // Andy Goodrich: further fix for incorrect value being returned from
70 // concat_get_data. This one is in the non-aligned value code.
71 //
72 // Revision 1.3 2006/01/13 18:49:32 acg
73 // Added $Log command so that CVS check in comments are reproduced in the
74 // source.
75 //
76 
77 #include <cctype>
78 #include <cmath>
79 #include <sstream>
80 
91 
92 // explicit template instantiations
93 namespace sc_core
94 {
95 
96 template class sc_vpool<sc_dt::sc_signed_bitref>;
97 template class sc_vpool<sc_dt::sc_signed_subref>;
98 
99 } // namespace sc_core
100 
101 namespace sc_dt
102 {
103 
104 // Pool of temporary instances:
105 
106 sc_core::sc_vpool<sc_signed_bitref> sc_signed_bitref::m_pool(9);
107 sc_core::sc_vpool<sc_signed_subref> sc_signed_subref::m_pool(9);
108 
109 void
110 sc_signed::invalid_init(const char *type_name, int nb) const
111 {
112  std::stringstream msg;
113  msg << "sc_signed("<< type_name << ") : nb = " << nb << " is not valid";
114  SC_REPORT_ERROR(sc_core::SC_ID_INIT_FAILED_, msg.str().c_str());
115 }
116 
117 // ----------------------------------------------------------------------------
118 // SECTION: Public members - Invalid selections.
119 // ----------------------------------------------------------------------------
120 
121 void
122 sc_signed::invalid_index(int i) const
123 {
124  std::stringstream msg;
125  msg << "sc_bigint bit selection: index = " << i << " violates "
126  "0 <= index <= " << (nbits - 1);
128  sc_core::sc_abort(); // can't recover from here
129 }
130 
131 void
132 sc_signed::invalid_range(int l, int r) const
133 {
134  std::stringstream msg;
135  msg << "sc_bigint part selection: left = " <<
136  l << ", right = " << r << " \n"
137  " violates either (" << (nbits-1) << " >= left >= 0) or "
138  "(" << (nbits-1) << " >= right >= 0)";
140  sc_core::sc_abort(); // can't recover from here
141 }
142 
143 
144 // ----------------------------------------------------------------------------
145 
146 // ----------------------------------------------------------------------------
147 // SECTION: Public members.
148 // ----------------------------------------------------------------------------
149 
150 // Most public members are included from sc_nbcommon.inc. However, some
151 // concatenation support appears here to optimize between the signed and
152 // unsigned cases.
153 
154 // Insert this object's value at the specified place in a vector of biguint
155 // style values.
156 
157 bool
158 sc_signed::concat_get_ctrl(sc_digit *dst_p, int low_i) const
159 {
160  int dst_i; // Index to next word to set in dst_p.
161  int end_i; // Index of high order word to set.
162  int left_shift; // Amount to shift value left.
163  sc_digit mask; // Mask for partial word sets.
164 
165  // CALCULATE METRICS FOR DATA MOVEMENT:
166  dst_i = low_i / BITS_PER_DIGIT;
167  end_i = (low_i + nbits - 1) / BITS_PER_DIGIT;
168  left_shift = low_i % BITS_PER_DIGIT;
169 
170  // ALL DATA TO BE MOVED IS IN A SINGLE WORD:
171  mask = ~(~0U << left_shift);
172  dst_p[dst_i] = (dst_p[dst_i] & ~mask);
173  dst_i++;
174 
175  for (; dst_i <= end_i; dst_i++)
176  dst_p[dst_i] = 0;
177 
178  return false;
179 }
180 
181 bool
182 sc_signed::concat_get_data(sc_digit *dst_p, int low_i) const
183 {
184  sc_digit carry; // Carry bit for complements.
185  int dst_i; // Index to next word to set in dst_p.
186  int end_i; // Index of high order word to set.
187  int high_i; // Index w/in word of high order bit.
188  int left_shift; // Amount to shift value left.
189  sc_digit left_word; // High word component for set.
190  sc_digit mask; // Mask for partial word sets.
191  bool result; // True if inserted non-zero data.
192  int right_shift; // Amount to shift value right.
193  sc_digit right_word; // Low word component for set.
194  int src_i; // Index to next word to get from digit.
195 
196  // CALCULATE METRICS FOR DATA MOVEMENT:
197  dst_i = low_i / BITS_PER_DIGIT;
198  high_i = low_i + nbits - 1;
199  end_i = high_i / BITS_PER_DIGIT;
200  left_shift = low_i % BITS_PER_DIGIT;
201 
202  switch (sgn) {
203  // POSITIVE SOURCE VALUE:
204  case SC_POS:
205  result = true;
206 
207  // ALL DATA TO BE MOVED IS IN A SINGLE WORD:
208  if (dst_i == end_i) {
209  mask = ~(~0U << left_shift);
210  dst_p[dst_i] = ((dst_p[dst_i] & mask) |
211  (digit[0] << left_shift)) & DIGIT_MASK;
212 
213  // DATA IS IN MORE THAN ONE WORD, BUT IS WORD ALIGNED:
214  } else if (left_shift == 0) {
215  for (src_i = 0; dst_i < end_i; dst_i++, src_i++) {
216  dst_p[dst_i] = digit[src_i];
217  }
218  high_i = high_i % BITS_PER_DIGIT;
219  mask = ~(~1U << high_i) & DIGIT_MASK;
220  dst_p[dst_i] = digit[src_i] & mask;
221 
222  // DATA IS IN MORE THAN ONE WORD, AND NOT WORD ALIGNED:
223  } else {
224  high_i = high_i % BITS_PER_DIGIT;
225  right_shift = BITS_PER_DIGIT - left_shift;
226  mask = ~(~0U << left_shift);
227  right_word = digit[0];
228  dst_p[dst_i] = (dst_p[dst_i] & mask) |
229  ((right_word << left_shift) & DIGIT_MASK);
230  for (src_i = 1, dst_i++; dst_i < end_i; dst_i++, src_i++) {
231  left_word = digit[src_i];
232  dst_p[dst_i] = ((left_word << left_shift)&DIGIT_MASK) |
233  (right_word >> right_shift);
234  right_word = left_word;
235  }
236  left_word = (src_i < ndigits) ? digit[src_i] : 0;
237  mask = ~(~1U << high_i) & DIGIT_MASK;
238  dst_p[dst_i] = ((left_word << left_shift) |
239  (right_word >> right_shift)) & mask;
240  }
241  break;
242 
243  // SOURCE VALUE IS NEGATIVE:
244  case SC_NEG:
245  // ALL DATA TO BE MOVED IS IN A SINGLE WORD:
246  result = true;
247  if (dst_i == end_i) {
248  mask = ~(~0U << nbits);
249  right_word = ((digit[0] ^ DIGIT_MASK) + 1) & mask;
250  mask = ~(~0U << left_shift);
251  dst_p[dst_i] = ((dst_p[dst_i] & mask) |
252  (right_word << left_shift)) & DIGIT_MASK;
253 
254  // DATA IS IN MORE THAN ONE WORD, BUT IS WORD ALIGNED:
255  } else if (left_shift == 0) {
256  carry = 1;
257  for (src_i = 0; dst_i < end_i; dst_i++, src_i++) {
258  right_word = (digit[src_i] ^ DIGIT_MASK) + carry;
259  dst_p[dst_i] = right_word & DIGIT_MASK;
260  carry = right_word >> BITS_PER_DIGIT;
261  }
262  high_i = high_i % BITS_PER_DIGIT;
263  mask = (~(~1U << high_i)) & DIGIT_MASK;
264  right_word = (src_i < ndigits) ?
265  (digit[src_i] ^ DIGIT_MASK) + carry : DIGIT_MASK + carry;
266  dst_p[dst_i] = right_word & mask;
267 
268  // DATA IS IN MORE THAN ONE WORD, AND NOT WORD ALIGNED:
269  } else {
270  high_i = high_i % BITS_PER_DIGIT;
271  right_shift = BITS_PER_DIGIT - left_shift;
272  mask = ~(~0U << left_shift);
273  carry = 1;
274  right_word = (digit[0] ^ DIGIT_MASK) + carry;
275  dst_p[dst_i] = (dst_p[dst_i] & mask) |
276  ((right_word << left_shift) & DIGIT_MASK);
277  carry = right_word >> BITS_PER_DIGIT;
278  right_word &= DIGIT_MASK;
279  for (src_i = 1, dst_i++; dst_i < end_i; dst_i++, src_i++) {
280  left_word = (digit[src_i] ^ DIGIT_MASK) + carry;
281  dst_p[dst_i] = ((left_word << left_shift)&DIGIT_MASK) |
282  (right_word >> right_shift);
283  carry = left_word >> BITS_PER_DIGIT;
284  right_word = left_word & DIGIT_MASK;
285  }
286  left_word = (src_i < ndigits) ?
287  (digit[src_i] ^ DIGIT_MASK) + carry : carry;
288  mask = ~(~1U << high_i) & DIGIT_MASK;
289  dst_p[dst_i] = ((left_word << left_shift) |
290  (right_word >> right_shift)) & mask;
291  }
292  break;
293 
294  // VALUE IS ZERO:
295  default:
296  result = false;
297  // ALL DATA TO BE MOVED IS IN A SINGLE WORD:
298  if (dst_i == end_i) {
299  mask = ~(~0U << nbits) << left_shift;
300  dst_p[dst_i] = dst_p[dst_i] & ~mask;
301 
302  // DATA IS IN MORE THAN ONE WORD, BUT IS WORD ALIGNED:
303  } else if (left_shift == 0) {
304  for (src_i = 0; dst_i < end_i; dst_i++, src_i++) {
305  dst_p[dst_i] = 0;
306  }
307  dst_p[dst_i] = 0;
308 
309  // DATA IS IN MORE THAN ONE WORD, AND NOT WORD ALIGNED:
310  } else {
311  mask = ~(~0U << left_shift);
312  dst_p[dst_i] = (dst_p[dst_i] & mask);
313  for (dst_i++; dst_i <= end_i; dst_i++) {
314  dst_p[dst_i] = 0;
315  }
316  }
317  break;
318  }
319  return result;
320 }
321 
322 // Return this object instance's bits as a uint64 without sign extension.
323 
324 uint64
325 sc_signed::concat_get_uint64() const
326 {
327  uint64 result;
328  switch (sgn) {
329  case SC_POS:
330  result = 0;
331  if (ndigits > 2)
332  result = digit[2];
333  if (ndigits > 1)
334  result = (result << BITS_PER_DIGIT) | digit[1];
335  result = (result << BITS_PER_DIGIT) | digit[0];
336  break;
337  case SC_NEG:
338  result = 0;
339  if (ndigits > 2)
340  result = digit[2];
341  if (ndigits > 1)
342  result = (result << BITS_PER_DIGIT) | digit[1];
343  result = (result << BITS_PER_DIGIT) | digit[0];
344  result = -result;
345  if (nbits < 64) {
346  uint64 mask = ~0;
347  result = result & ~(mask << nbits);
348  }
349  break;
350  default:
351  result = 0;
352  break;
353  }
354  return result;
355 }
356 
357 // #### OPTIMIZE
358 void
359 sc_signed::concat_set(int64 src, int low_i)
360 {
361  *this = (low_i < 64) ? src >> low_i : src >> 63;
362 }
363 
364 void
365 sc_signed::concat_set(const sc_signed &src, int low_i)
366 {
367  if (low_i < src.length())
368  *this = src >> low_i;
369  else
370  *this = (src<0) ? (int_type)-1 : 0;
371 }
372 
373 void
374 sc_signed::concat_set(const sc_unsigned &src, int low_i)
375 {
376  if (low_i < src.length())
377  *this = src >> low_i;
378  else
379  *this = 0;
380 }
381 
382 void
383 sc_signed::concat_set(uint64 src, int low_i)
384 {
385  *this = (low_i < 64) ? src >> low_i : 0;
386 }
387 
388 // ----------------------------------------------------------------------------
389 // SECTION: Public members - Reduction methods.
390 // ----------------------------------------------------------------------------
391 
392 bool
394 {
395  sc_digit current; // Current digit examining.
396  int i; // Index of digit examining.
397 
398  if (sgn == SC_NEG) {
399  current = (1 << BITS_PER_DIGIT);
400  for (i = 0; i < ndigits-1; i++) {
401  current = (current >> BITS_PER_DIGIT) + (digit[i]^DIGIT_MASK);
402  if ((current & DIGIT_MASK) != DIGIT_MASK) return false;
403  }
404  current = (current >> BITS_PER_DIGIT) + (digit[i]^DIGIT_MASK);
405  if ((current & ~(~0U << (nbits % BITS_PER_DIGIT))) ==
406  static_cast<sc_digit>(~(~0U << (nbits % BITS_PER_DIGIT)))) {
407  return true;
408  }
409  }
410  return false;
411 }
412 
413 bool
415 {
416  return sgn == SC_ZERO ? false : true;
417 }
418 
419 bool
421 {
422  int i; // Digit examining.
423  int odd; // Flag for odd number of digits.
424 
425  odd = 0;
426  for (i = 0; i < nbits; i++)
427  if (test(i))
428  odd = ~odd;
429  return odd ? true : false;
430 }
431 
432 
433 
434 // ----------------------------------------------------------------------------
435 // SECTION: Public members - Assignment operators.
436 // ----------------------------------------------------------------------------
437 
438 // assignment operators
439 
440 const sc_signed &
441 sc_signed::operator = (const char *a)
442 {
443  if (a == 0) {
445  "character string is zero");
446  } else if (*a == 0) {
448  "character string is empty");
449  } else try {
450  int len = length();
451  sc_fix aa(a, len, len, SC_TRN, SC_WRAP, 0, SC_ON);
452  return this->operator = (aa);
453  } catch(const sc_core::sc_report &) {
454  std::stringstream msg;
455  msg << "character string '" << a << "' is not valid";
457  }
458  return *this;
459 }
460 
461 const sc_signed &
462 sc_signed::operator=(int64 v)
463 {
464  sgn = get_sign(v);
465  // v >= 0 now.
466  if (sgn == SC_ZERO) {
467  vec_zero(ndigits, digit);
468  } else {
469  from_uint(ndigits, digit, (uint64)v);
470  if (nbits <= (int)BITS_PER_INT64)
471  convert_SM_to_2C_to_SM();
472  }
473  return *this;
474 }
475 
476 const sc_signed &
477 sc_signed::operator=(uint64 v)
478 {
479  sgn = get_sign(v);
480  if (sgn == SC_ZERO) {
481  vec_zero(ndigits, digit);
482  } else {
483  from_uint(ndigits, digit, v);
484  if (nbits <= (int)BITS_PER_INT64)
485  convert_SM_to_2C_to_SM();
486  }
487  return *this;
488 }
489 
490 const sc_signed &
491 sc_signed::operator=(long v)
492 {
493  sgn = get_sign(v);
494  // v >= 0 now.
495  if (sgn == SC_ZERO) {
496  vec_zero(ndigits, digit);
497  } else {
498  from_uint(ndigits, digit, (unsigned long)v);
499  if (nbits <= (int)BITS_PER_LONG)
500  convert_SM_to_2C_to_SM();
501  }
502  return *this;
503 }
504 
505 const sc_signed &
506 sc_signed::operator=(unsigned long v)
507 {
508  sgn = get_sign(v);
509  if (sgn == SC_ZERO) {
510  vec_zero(ndigits, digit);
511  } else {
512  from_uint(ndigits, digit, v);
513  if (nbits <= (int)BITS_PER_LONG)
514  convert_SM_to_2C_to_SM();
515  }
516  return *this;
517 }
518 
519 const sc_signed &
520 sc_signed::operator=(double v)
521 {
522  is_bad_double(v);
523  if (v < 0) {
524  v = -v;
525  sgn = SC_NEG;
526  } else {
527  sgn = SC_POS;
528  }
529 
530  int i = 0;
531  while (std::floor(v) && (i < ndigits)) {
532  digit[i++] = ((sc_digit)std::floor(remainder(v, DIGIT_RADIX))) &
533  DIGIT_MASK;
534  v /= DIGIT_RADIX;
535  }
536  vec_zero(i, ndigits, digit);
537  convert_SM_to_2C_to_SM();
538  return *this;
539 }
540 
541 
542 // ----------------------------------------------------------------------------
543 
544 const sc_signed &
545 sc_signed::operator = (const sc_bv_base &v)
546 {
547  int minlen = sc_min(nbits, v.length());
548  int i = 0;
549  for (; i < minlen; ++i) {
550  safe_set(i, v.get_bit(i), digit);
551  }
552  for (; i < nbits; ++i) {
553  safe_set(i, 0, digit); // zero-extend
554  }
555  convert_2C_to_SM();
556  return *this;
557 }
558 
559 const sc_signed &
560 sc_signed::operator = (const sc_lv_base &v)
561 {
562  int minlen = sc_min(nbits, v.length());
563  int i = 0;
564  for (; i < minlen; ++i) {
565  safe_set(i, sc_logic(v.get_bit(i)).to_bool(), digit);
566  }
567  for (; i < nbits; ++i) {
568  safe_set(i, 0, digit); // zero-extend
569  }
570  convert_2C_to_SM();
571  return *this;
572 }
573 
574 
575 // explicit conversion to character string
576 const std::string
578 {
579  int len = length();
580  sc_fix aa(*this, len, len, SC_TRN, SC_WRAP, 0, SC_ON);
581  return aa.to_string(numrep);
582 }
583 
584 const std::string
585 sc_signed::to_string(sc_numrep numrep, bool w_prefix) const
586 {
587  int len = length();
588  sc_fix aa(*this, len, len, SC_TRN, SC_WRAP, 0, SC_ON);
589  return aa.to_string(numrep, w_prefix);
590 }
591 
592 
593 // ----------------------------------------------------------------------------
594 // SECTION: Interfacing with sc_int_base
595 // ----------------------------------------------------------------------------
596 
597 const sc_signed &
598 sc_signed::operator = (const sc_int_base &v)
599 {
600  return operator = ((int64)v);
601 }
602 
603 
604 sc_signed
606 {
607  return operator + (u, static_cast<int64>(v));
608 }
609 
610 sc_signed
612 {
613  return operator + (static_cast<int64>(u), v);
614 }
615 
616 sc_signed
618 {
619  return operator + (u, (int64)v);
620 }
621 
622 sc_signed
624 {
625  return operator + ((int64)u, v);
626 }
627 
628 const sc_signed &
629 sc_signed::operator += (const sc_int_base &v)
630 {
631  return operator += ((int64)v);
632 }
633 
634 
635 sc_signed
637 {
638  return operator - (u, (int64)v);
639 }
640 
641 sc_signed
643 {
644  return operator - ((int64)u, v);
645 }
646 
647 sc_signed
649 {
650  return operator - (u, (int64)v);
651 }
652 
653 sc_signed
655 {
656  return operator - ((int64)u, v);
657 }
658 
659 const sc_signed &
661 {
662  return operator -= ((int64)v);
663 }
664 
665 
666 sc_signed
668 {
669  return operator * (u, static_cast<int64>(v));
670 }
671 
672 sc_signed
674 {
675  return operator * (static_cast<int64>(u), v);
676 }
677 
678 sc_signed
680 {
681  return operator * (u, (int64)v);
682 }
683 
684 sc_signed
686 {
687  return operator * ((int64)u, v);
688 }
689 
690 const sc_signed &
691 sc_signed::operator *= (const sc_int_base &v)
692 {
693  return operator *= ((int64)v);
694 }
695 
696 
697 sc_signed
699 {
700  return operator / (u, static_cast<int64>(v));
701 }
702 
703 sc_signed
705 {
706  return operator / (static_cast<int64>(u), v);
707 }
708 
709 sc_signed
711 {
712  return operator / (u, (int64)v);
713 }
714 
715 sc_signed
717 {
718  return operator / ((int64)u, v);
719 }
720 
721 const sc_signed &
722 sc_signed::operator /= (const sc_int_base &v)
723 {
724  return operator /= ((int64)v);
725 }
726 
727 
728 sc_signed
730 {
731  return operator % (u, static_cast<int64>(v));
732 }
733 
734 sc_signed
736 {
737  return operator % (static_cast<int64>(u), v);
738 }
739 
740 sc_signed
742 {
743  return operator % (u, (int64)v);
744 }
745 
746 sc_signed
748 {
749  return operator % ((int64)u, v);
750 }
751 
752 const sc_signed &
753 sc_signed::operator %= (const sc_int_base &v)
754 {
755  return operator %= ((int64)v);
756 }
757 
758 
759 sc_signed
761 {
762  return operator & (u, static_cast<int64>(v));
763 }
764 
765 sc_signed
767 {
768  return operator & (static_cast<int64>(u), v);
769 }
770 
771 sc_signed
773 {
774  return operator & (u, (int64)v);
775 }
776 
777 sc_signed
779 {
780  return operator & ((int64)u, v);
781 }
782 
783 const sc_signed &
785 {
786  return operator &= ((int64)v);
787 }
788 
789 
790 sc_signed
792 {
793  return operator | (u, static_cast<int64>(v));
794 }
795 
796 sc_signed
798 {
799  return operator | (static_cast<int64>(u), v);
800 }
801 
802 sc_signed
804 {
805  return operator|(u, (int64)v);
806 }
807 
808 sc_signed
810 {
811  return operator | ((int64)u, v);
812 }
813 
814 const sc_signed &
816 {
817  return operator |= ((int64)v);
818 }
819 
820 
821 sc_signed
823 {
824  return operator ^ (u, static_cast<int64>(v));
825 }
826 
827 sc_signed
829 {
830  return operator ^ (static_cast<int64>(u), v);
831 }
832 
833 sc_signed
835 {
836  return operator ^ (u, (int64)v);
837 }
838 
839 sc_signed
841 {
842  return operator ^ ((int64)u, v);
843 }
844 
845 const sc_signed &
847 {
848  return operator ^= ((int64)v);
849 }
850 
851 
852 sc_signed
854 {
855  return operator << (u, (int64)v);
856 }
857 
858 const sc_signed &
859 sc_signed::operator <<= (const sc_int_base &v)
860 {
861  return operator <<= ((int64)v);
862 }
863 
864 
865 sc_signed
867 {
868  return operator >> (u, (int64)v);
869 }
870 
871 const sc_signed &
872 sc_signed::operator >>= (const sc_int_base &v)
873 {
874  return operator >>= ((int64)v);
875 }
876 
877 
878 bool
880 {
881  return operator == (u, (int64)v);
882 }
883 
884 bool
886 {
887  return operator == ((int64)u, v);
888 }
889 
890 
891 bool
893 {
894  return operator != (u, (int64)v);
895 }
896 
897 bool
899 {
900  return operator != ((int64)u, v);
901 }
902 
903 
904 bool
906 {
907  return operator < (u, (int64)v);
908 }
909 
910 bool
912 {
913  return operator < ((int64)u, v);
914 }
915 
916 
917 bool
919 {
920  return operator <= (u, (int64)v);
921 }
922 
923 bool
925 {
926  return operator <= ((int64)u, v);
927 }
928 
929 
930 bool
932 {
933  return operator > (u, (int64)v);
934 }
935 
936 bool
938 {
939  return operator > ((int64)u, v);
940 }
941 
942 
943 bool
945 {
946  return operator >= (u, (int64)v);
947 }
948 
949 bool
951 {
952  return operator >= ((int64)u, v);
953 }
954 
955 
956 // ----------------------------------------------------------------------------
957 // SECTION: Interfacing with sc_uint_base
958 // ----------------------------------------------------------------------------
959 
960 const sc_signed &
961 sc_signed::operator = (const sc_uint_base &v)
962 {
963  return operator = ((uint64)v);
964 }
965 
966 
967 sc_signed
969 {
970  return operator + (u, (uint64)v);
971 }
972 
973 sc_signed
975 {
976  return operator + ((uint64)u, v);
977 }
978 
979 const sc_signed &
980 sc_signed::operator += (const sc_uint_base &v)
981 {
982  return operator += ((uint64)v);
983 }
984 
985 
986 sc_signed
988 {
989  return operator - (u, (uint64)v);
990 }
991 
992 sc_signed
994 {
995  return operator - ((uint64)u, v);
996 }
997 
998 sc_signed
1000 {
1001  return operator - (u, (uint64)v);
1002 }
1003 
1004 sc_signed
1006 {
1007  return operator - ((uint64)u, v);
1008 }
1009 
1010 const sc_signed &
1012 {
1013  return operator -= ((uint64)v);
1014 }
1015 
1016 
1017 sc_signed
1019 {
1020  return operator * (u, (uint64)v);
1021 }
1022 
1023 sc_signed
1025 {
1026  return operator * ((uint64)u, v);
1027 }
1028 
1029 const sc_signed &
1030 sc_signed::operator *= (const sc_uint_base &v)
1031 {
1032  return operator *= ((uint64)v);
1033 }
1034 
1035 
1036 sc_signed
1038 {
1039  return operator / (u, (uint64)v);
1040 }
1041 
1042 sc_signed
1044 {
1045  return operator / ((uint64)u, v);
1046 }
1047 
1048 const sc_signed &
1049 sc_signed::operator /= (const sc_uint_base &v)
1050 {
1051  return operator /= ((uint64)v);
1052 }
1053 
1054 
1055 sc_signed
1057 {
1058  return operator % (u, (uint64)v);
1059 }
1060 
1061 sc_signed
1063 {
1064  return operator % ((uint64)u, v);
1065 }
1066 
1067 const sc_signed&
1068 sc_signed::operator %= (const sc_uint_base &v)
1069 {
1070  return operator %= ((uint64)v);
1071 }
1072 
1073 
1074 sc_signed
1076 {
1077  return operator & (u, (uint64)v);
1078 }
1079 
1080 sc_signed
1082 {
1083  return operator & ((uint64)u, v);
1084 }
1085 
1086 const sc_signed &
1088 {
1089  return operator &= ((uint64)v);
1090 }
1091 
1092 
1093 sc_signed
1095 {
1096  return operator | (u, (uint64)v);
1097 }
1098 
1099 sc_signed
1101 {
1102  return operator | ((uint64)u, v);
1103 }
1104 
1105 const sc_signed &
1107 {
1108  return operator |= ((uint64)v);
1109 }
1110 
1111 
1112 sc_signed
1114 {
1115  return operator ^ (u, (uint64)v);
1116 }
1117 
1118 sc_signed
1120 {
1121  return operator ^ ((uint64)u, v);
1122 }
1123 
1124 const sc_signed &
1126 {
1127  return operator ^= ((uint64)v);
1128 }
1129 
1130 
1131 sc_signed
1133 {
1134  return operator << (u, (uint64)v);
1135 }
1136 
1137 const sc_signed &
1138 sc_signed::operator <<= (const sc_uint_base &v)
1139 {
1140  return operator <<= ((uint64)v);
1141 }
1142 
1143 
1144 sc_signed
1146 {
1147  return operator >> (u, (uint64)v);
1148 }
1149 
1150 const sc_signed &
1151 sc_signed::operator >>= (const sc_uint_base& v)
1152 {
1153  return operator >>= ((uint64)v);
1154 }
1155 
1156 
1157 bool
1159 {
1160  return operator == (u, (uint64)v);
1161 }
1162 
1163 bool
1165 {
1166  return operator == ((uint64)u, v);
1167 }
1168 
1169 
1170 bool
1172 {
1173  return operator != (u, (uint64)v);
1174 }
1175 
1176 bool
1178 {
1179  return operator != ((uint64)u, v);
1180 }
1181 
1182 
1183 bool
1185 {
1186  return operator < (u, (uint64)v);
1187 }
1188 
1189 bool
1191 {
1192  return operator < ((uint64)u, v);
1193 }
1194 
1195 
1196 bool
1198 {
1199  return operator <= (u, (uint64)v);
1200 }
1201 
1202 bool
1204 {
1205  return operator <= ((uint64)u, v);
1206 }
1207 
1208 
1209 bool
1211 {
1212  return operator > (u, (uint64)v);
1213 }
1214 
1215 bool
1217 {
1218  return operator > ((uint64)u, v);
1219 }
1220 
1221 
1222 bool
1224 {
1225  return operator >= (u, (uint64)v);
1226 }
1227 
1228 bool
1230 {
1231  return operator >= ((uint64)u, v);
1232 }
1233 
1234 
1235 // ----------------------------------------------------------------------------
1236 // SECTION: Input and output operators
1237 // ----------------------------------------------------------------------------
1238 
1239 // Operators in this section are included from sc_nbcommon.cpp.
1240 
1241 
1242 // ----------------------------------------------------------------------------
1243 // SECTION: Operator macros.
1244 // ----------------------------------------------------------------------------
1245 
1246 #define CONVERT_LONG(u) \
1247 small_type u ## s = get_sign(u); \
1248 sc_digit u ## d[DIGITS_PER_ULONG]; \
1249 from_uint(DIGITS_PER_ULONG, u ## d, (unsigned long) u);
1250 
1251 #define CONVERT_LONG_2(u) \
1252 sc_digit u ## d[DIGITS_PER_ULONG]; \
1253 from_uint(DIGITS_PER_ULONG, u ## d, (unsigned long) u);
1254 
1255 #define CONVERT_INT(u) \
1256 small_type u ## s = get_sign(u); \
1257 sc_digit u ## d[DIGITS_PER_UINT]; \
1258 from_uint(DIGITS_PER_UINT, u ## d, (unsigned int) u);
1259 
1260 #define CONVERT_INT_2(u) \
1261 sc_digit u ## d[DIGITS_PER_UINT]; \
1262 from_uint(DIGITS_PER_UINT, u ## d, (unsigned int) u);
1263 
1264 #define CONVERT_INT64(u) \
1265 small_type u ## s = get_sign(u); \
1266 sc_digit u ## d[DIGITS_PER_UINT64]; \
1267 from_uint(DIGITS_PER_UINT64, u ## d, (uint64) u);
1268 
1269 #define CONVERT_INT64_2(u) \
1270 sc_digit u ## d[DIGITS_PER_UINT64]; \
1271 from_uint(DIGITS_PER_UINT64, u ## d, (uint64) u);
1272 
1273 
1274 // ----------------------------------------------------------------------------
1275 // SECTION: PLUS operators: +, +=, ++
1276 // ----------------------------------------------------------------------------
1277 
1278 // Cases to consider when computing u + v:
1279 // 1. 0 + v = v
1280 // 2. u + 0 = u
1281 // 3. if sgn(u) == sgn(v)
1282 // 3.1 u + v = +(u + v) = sgn(u) * (u + v)
1283 // 3.2 (-u) + (-v) = -(u + v) = sgn(u) * (u + v)
1284 // 4. if sgn(u) != sgn(v)
1285 // 4.1 u + (-v) = u - v = sgn(u) * (u - v)
1286 // 4.2 (-u) + v = -(u - v) ==> sgn(u) * (u - v)
1287 //
1288 // Specialization of above cases for computing ++u or u++:
1289 // 1. 0 + 1 = 1
1290 // 3. u + 1 = u + 1 = sgn(u) * (u + 1)
1291 // 4. (-u) + 1 = -(u - 1) = sgn(u) * (u - 1)
1292 
1293 sc_signed
1295 {
1296  if (u.sgn == SC_ZERO) // case 1
1297  return sc_signed(v);
1298 
1299  if (v.sgn == SC_ZERO) // case 2
1300  return sc_signed(u);
1301 
1302  // cases 3 and 4
1303  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1304  v.sgn, v.nbits, v.ndigits, v.digit);
1305 }
1306 
1307 
1308 sc_signed
1310 {
1311  if (u.sgn == SC_ZERO) // case 1
1312  return sc_signed(v);
1313 
1314  if (v.sgn == SC_ZERO) // case 2
1315  return sc_signed(u);
1316 
1317  // cases 3 and 4
1318  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1319  v.sgn, v.nbits, v.ndigits, v.digit);
1320 }
1321 
1322 
1323 sc_signed
1325 {
1326  if (u.sgn == SC_ZERO) // case 1
1327  return sc_signed(v);
1328 
1329  if (v.sgn == SC_ZERO) // case 2
1330  return sc_signed(u);
1331 
1332  // cases 3 and 4
1333  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1334  v.sgn, v.nbits, v.ndigits, v.digit);
1335 }
1336 
1337 
1338 sc_signed
1340 {
1341  if (v == 0) // case 2
1342  return sc_signed(u);
1343 
1344  CONVERT_INT64(v);
1345 
1346  if (u.sgn == SC_ZERO) // case 1
1347  return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
1348 
1349  // cases 3 and 4
1350  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1352 }
1353 
1354 
1355 sc_signed
1357 {
1358  if (u == 0) // case 1
1359  return sc_signed(v);
1360 
1361  CONVERT_INT64(u);
1362 
1363  if (v.sgn == SC_ZERO) // case 2
1364  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
1365 
1366  // cases 3 and 4
1368  v.sgn, v.nbits, v.ndigits, v.digit);
1369 }
1370 
1371 
1372 sc_signed
1374 {
1375  if (v == 0) // case 2
1376  return sc_signed(u);
1377 
1378  CONVERT_INT64(v);
1379 
1380  if (u.sgn == SC_ZERO) // case 1
1381  return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
1382 
1383  // cases 3 and 4
1384  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1386 }
1387 
1388 
1389 sc_signed
1391 {
1392  if (u == 0) // case 1
1393  return sc_signed(v);
1394 
1395  CONVERT_INT64(u);
1396 
1397  if (v.sgn == SC_ZERO) // case 2
1398  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
1399 
1400  // cases 3 and 4
1402  v.sgn, v.nbits, v.ndigits, v.digit);
1403 }
1404 
1405 
1406 sc_signed
1408 {
1409  if (v == 0) // case 2
1410  return sc_signed(u);
1411 
1412  CONVERT_INT64(v);
1413 
1414  if (u.sgn == SC_ZERO) // case 1
1415  return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
1416 
1417  // cases 3 and 4
1418  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1420 }
1421 
1422 
1423 sc_signed
1425 {
1426  if (u == 0) // case 1
1427  return sc_signed(v);
1428 
1429  CONVERT_INT64(u);
1430 
1431  if (v.sgn == SC_ZERO) // case 2
1432  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
1433 
1434  // cases 3 and 4
1436  v.sgn, v.nbits, v.ndigits, v.digit);
1437 }
1438 
1439 
1440 sc_signed
1441 operator + (const sc_signed &u, long v)
1442 {
1443  if (v == 0) // case 2
1444  return sc_signed(u);
1445 
1446  CONVERT_LONG(v);
1447 
1448  if (u.sgn == SC_ZERO) // case 1
1449  return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
1450 
1451  // cases 3 and 4
1452  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1454 }
1455 
1456 
1457 sc_signed
1458 operator + (long u, const sc_signed &v)
1459 {
1460  if (u == 0) // case 1
1461  return sc_signed(v);
1462 
1463  CONVERT_LONG(u);
1464 
1465  if (v.sgn == SC_ZERO) // case 2
1466  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
1467 
1468  // cases 3 and 4
1470  v.sgn, v.nbits, v.ndigits, v.digit);
1471 }
1472 
1473 
1474 sc_signed
1476 {
1477  if (v == 0) // case 2
1478  return sc_signed(u);
1479 
1480  CONVERT_LONG(v);
1481 
1482  if (u.sgn == SC_ZERO) // case 1
1483  return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
1484 
1485  // cases 3 and 4
1486  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1488 }
1489 
1490 
1491 sc_signed
1493 {
1494  if (u == 0) // case 1
1495  return sc_signed(v);
1496 
1497  CONVERT_LONG(u);
1498 
1499  if (v.sgn == SC_ZERO) // case 2
1500  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
1501 
1502  // cases 3 and 4
1504  v.sgn, v.nbits, v.ndigits, v.digit);
1505 }
1506 
1507 
1508 sc_signed
1509 operator + (const sc_signed &u, unsigned long v)
1510 {
1511  if (v == 0) // case 2
1512  return sc_signed(u);
1513 
1514  CONVERT_LONG(v);
1515 
1516  if (u.sgn == SC_ZERO) // case 1
1517  return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
1518 
1519  // cases 3 and 4
1520  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1522 }
1523 
1524 
1525 sc_signed
1526 operator + (unsigned long u, const sc_signed &v)
1527 {
1528  if (u == 0) // case 1
1529  return sc_signed(v);
1530 
1531  CONVERT_LONG(u);
1532 
1533  if (v.sgn == SC_ZERO) // case 2
1534  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
1535 
1536  // cases 3 and 4
1538  v.sgn, v.nbits, v.ndigits, v.digit);
1539 }
1540 
1541 // The rest of the operators in this section are included from
1542 // sc_nbcommon.cpp.
1543 
1544 // ----------------------------------------------------------------------------
1545 // SECTION: MINUS operators: -, -=, --
1546 // ----------------------------------------------------------------------------
1547 
1548 // Cases to consider when computing u + v:
1549 // 1. u - 0 = u
1550 // 2. 0 - v = -v
1551 // 3. if sgn(u) != sgn(v)
1552 // 3.1 u - (-v) = u + v = sgn(u) * (u + v)
1553 // 3.2 (-u) - v = -(u + v) ==> sgn(u) * (u + v)
1554 // 4. if sgn(u) == sgn(v)
1555 // 4.1 u - v = +(u - v) = sgn(u) * (u - v)
1556 // 4.2 (-u) - (-v) = -(u - v) = sgn(u) * (u - v)
1557 //
1558 // Specialization of above cases for computing --u or u--:
1559 // 1. 0 - 1 = -1
1560 // 3. (-u) - 1 = -(u + 1) = sgn(u) * (u + 1)
1561 // 4. u - 1 = u - 1 = sgn(u) * (u - 1)
1562 
1563 sc_signed
1565 {
1566  if (v.sgn == SC_ZERO) // case 1
1567  return sc_signed(u);
1568 
1569  if (u.sgn == SC_ZERO) // case 2
1570  return sc_signed(v, -v.sgn);
1571 
1572  // cases 3 and 4
1573  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1574  -v.sgn, v.nbits, v.ndigits, v.digit);
1575 }
1576 
1577 
1578 sc_signed
1580 {
1581  if (v.sgn == SC_ZERO) // case 1
1582  return sc_signed(u);
1583 
1584  if (u.sgn == SC_ZERO) // case 2
1585  return sc_signed(v, -v.sgn);
1586 
1587  // cases 3 and 4
1588  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1589  -v.sgn, v.nbits, v.ndigits, v.digit);
1590 }
1591 
1592 
1593 sc_signed
1595 {
1596  if (v.sgn == SC_ZERO) // case 1
1597  return sc_signed(u);
1598 
1599  if (u.sgn == SC_ZERO) // case 2
1600  return sc_signed(v, -v.sgn);
1601 
1602  // cases 3 and 4
1603  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1604  -v.sgn, v.nbits, v.ndigits, v.digit);
1605 }
1606 
1607 
1608 sc_signed
1610 {
1611  if (v.sgn == SC_ZERO) // case 1
1612  return sc_signed(u);
1613 
1614  if (u.sgn == SC_ZERO) // case 2
1615  return sc_signed(v, -v.sgn);
1616 
1617  // cases 3 and 4
1618  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1619  -v.sgn, v.nbits, v.ndigits, v.digit);
1620 }
1621 
1622 
1623 sc_signed
1625 {
1626  if (v == 0) // case 1
1627  return sc_signed(u);
1628 
1629  CONVERT_INT64(v);
1630 
1631  if (u.sgn == SC_ZERO) // case 2
1632  return sc_signed(-vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
1633 
1634  // cases 3 and 4
1635  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1637 }
1638 
1639 
1640 sc_signed
1642 {
1643  if (u == 0) // case 1
1644  return sc_signed(v, -v.sgn);
1645 
1646  CONVERT_INT64(u);
1647 
1648  if (v.sgn == SC_ZERO) // case 2
1649  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
1650 
1651  // cases 3 and 4
1653  -v.sgn, v.nbits, v.ndigits, v.digit);
1654 }
1655 
1656 
1657 sc_signed
1659 {
1660  if (v == 0) // case 1
1661  return sc_signed(u);
1662 
1663  CONVERT_INT64(v);
1664 
1665  if (u.sgn == SC_ZERO) // case 2
1666  return sc_signed(-vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
1667 
1668  // cases 3 and 4
1669  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1671 }
1672 
1673 
1674 sc_signed
1676 {
1677  if (u == 0) // case 1
1678  return sc_signed(v, -v.sgn);
1679 
1680  CONVERT_INT64(u);
1681 
1682  if (v.sgn == SC_ZERO) // case 2
1683  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
1684 
1685  // cases 3 and 4
1687  -v.sgn, v.nbits, v.ndigits, v.digit);
1688 }
1689 
1690 
1691 sc_signed
1693 {
1694  if (v == 0) // case 1
1695  return sc_signed(u);
1696 
1697  CONVERT_INT64(v);
1698 
1699  if (u.sgn == SC_ZERO) // case 2
1700  return sc_signed(-vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
1701 
1702  // cases 3 and 4
1703 
1704  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1706 }
1707 
1708 
1709 sc_signed
1711 {
1712  if (u == 0) // case 1
1713  return sc_signed(v, -v.sgn);
1714 
1715  CONVERT_INT64(u);
1716 
1717  if (v.sgn == SC_ZERO) // case 2
1718  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
1719 
1720  // cases 3 and 4
1722  -v.sgn, v.nbits, v.ndigits, v.digit);
1723 }
1724 
1725 
1726 sc_signed
1728 {
1729  if (v == 0) // case 1
1730  return sc_signed(u);
1731 
1732  CONVERT_INT64(v);
1733 
1734  if (u.sgn == SC_ZERO) // case 2
1735  return sc_signed(-vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
1736 
1737  // cases 3 and 4
1738  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1740 }
1741 
1742 
1743 sc_signed
1745 {
1746  if (u == 0) // case 1
1747  return sc_signed(v, -v.sgn);
1748 
1749  CONVERT_INT64(u);
1750 
1751  if (v.sgn == SC_ZERO) // case 2
1752  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
1753 
1754  // cases 3 and 4
1756  -v.sgn, v.nbits, v.ndigits, v.digit);
1757 }
1758 
1759 
1760 sc_signed
1761 operator - (const sc_signed &u, long v)
1762 {
1763  if (v == 0) // case 1
1764  return sc_signed(u);
1765 
1766  CONVERT_LONG(v);
1767 
1768  if (u.sgn == SC_ZERO) // case 2
1769  return sc_signed(-vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
1770 
1771  // cases 3 and 4
1772  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1774 }
1775 
1776 
1777 sc_signed
1778 operator - (long u, const sc_signed &v)
1779 {
1780  if (u == 0) // case 1
1781  return sc_signed(v, -v.sgn);
1782 
1783  CONVERT_LONG(u);
1784 
1785  if (v.sgn == SC_ZERO) // case 2
1786  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
1787 
1788  // cases 3 and 4
1790  -v.sgn, v.nbits, v.ndigits, v.digit);
1791 }
1792 
1793 
1794 sc_signed
1796 {
1797  if (v == 0) // case 1
1798  return sc_signed(u);
1799 
1800  CONVERT_LONG(v);
1801 
1802  if (u.sgn == SC_ZERO) // case 2
1803  return sc_signed(-vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
1804 
1805  // cases 3 and 4
1806  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1808 }
1809 
1810 
1811 sc_signed
1813 {
1814  if (u == 0) // case 1
1815  return sc_signed(v, -v.sgn);
1816 
1817  CONVERT_LONG(u);
1818 
1819  if (v.sgn == SC_ZERO) // case 2
1820  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
1821 
1822  // cases 3 and 4
1824  -v.sgn, v.nbits, v.ndigits, v.digit);
1825 }
1826 
1827 
1828 sc_signed
1829 operator - (const sc_signed &u, unsigned long v)
1830 {
1831  if (v == 0) // case 1
1832  return sc_signed(u);
1833 
1834  CONVERT_LONG(v);
1835 
1836  if (u.sgn == SC_ZERO) // case 2
1837  return sc_signed(-vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
1838 
1839  // cases 3 and 4
1840  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1842 }
1843 
1844 
1845 sc_signed
1846 operator - (unsigned long u, const sc_signed &v)
1847 {
1848  if (u == 0) // case 1
1849  return sc_signed(v, -v.sgn);
1850 
1851  CONVERT_LONG(u);
1852 
1853  if (v.sgn == SC_ZERO) // case 2
1854  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
1855 
1856  // cases 3 and 4
1858  -v.sgn, v.nbits, v.ndigits, v.digit);
1859 }
1860 
1861 
1862 sc_signed
1863 operator - (const sc_unsigned &u, unsigned long v)
1864 {
1865  if (v == 0) // case 1
1866  return sc_signed(u);
1867 
1868  CONVERT_LONG(v);
1869 
1870  if (u.sgn == SC_ZERO) // case 2
1871  return sc_signed(-vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
1872 
1873  // cases 3 and 4
1874  return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1876 }
1877 
1878 
1879 sc_signed
1880 operator - (unsigned long u, const sc_unsigned &v)
1881 {
1882  if (u == 0) // case 1
1883  return sc_signed(v, -v.sgn);
1884 
1885  CONVERT_LONG(u);
1886 
1887  if (v.sgn == SC_ZERO) // case 2
1888  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
1889 
1890  // cases 3 and 4
1892  -v.sgn, v.nbits, v.ndigits, v.digit);
1893 }
1894 
1895 // The rest of the operators in this section are included from
1896 // sc_nbcommon.cpp.
1897 
1898 
1899 // ----------------------------------------------------------------------------
1900 // SECTION: MULTIPLICATION operators: *, *=
1901 // ----------------------------------------------------------------------------
1902 
1903 // Cases to consider when computing u * v:
1904 // 1. u * 0 = 0 * v = 0
1905 // 2. 1 * v = v and -1 * v = -v
1906 // 3. u * 1 = u and u * -1 = -u
1907 // 4. u * v = u * v
1908 
1909 sc_signed
1911 {
1912  small_type s = mul_signs(u.sgn, v.sgn);
1913 
1914  if (s == SC_ZERO) // case 1
1915  return sc_signed();
1916 
1917  // cases 2-4
1918  return mul_signed_friend(s, u.nbits, u.ndigits, u.digit,
1919  v.nbits, v.ndigits, v.digit);
1920 }
1921 
1922 
1923 sc_signed
1925 {
1926  small_type s = mul_signs(u.sgn, v.sgn);
1927 
1928  if (s == SC_ZERO) // case 1
1929  return sc_signed();
1930 
1931  // cases 2-4
1932  return mul_signed_friend(s, u.nbits, u.ndigits, u.digit,
1933  v.nbits, v.ndigits, v.digit);
1934 }
1935 
1936 
1937 sc_signed
1939 {
1940  small_type s = mul_signs(u.sgn, v.sgn);
1941 
1942  if (s == SC_ZERO) // case 1
1943  return sc_signed();
1944 
1945  // cases 2-4
1946  return mul_signed_friend(s, u.nbits, u.ndigits, u.digit,
1947  v.nbits, v.ndigits, v.digit);
1948 }
1949 
1950 
1951 sc_signed
1953 {
1954  small_type s = mul_signs(u.sgn, get_sign(v));
1955 
1956  if (s == SC_ZERO) // case 1
1957  return sc_signed();
1958 
1959  CONVERT_INT64_2(v);
1960 
1961  // cases 2-4
1962  return mul_signed_friend(s, u.nbits, u.ndigits, u.digit,
1964 }
1965 
1966 
1967 sc_signed
1969 {
1970  small_type s = mul_signs(v.sgn, get_sign(u));
1971 
1972  if (s == SC_ZERO) // case 1
1973  return sc_signed();
1974 
1975  CONVERT_INT64_2(u);
1976 
1977  // cases 2-4
1979  v.nbits, v.ndigits, v.digit);
1980 }
1981 
1982 
1983 sc_signed
1985 {
1986  small_type s = mul_signs(u.sgn, get_sign(v));
1987 
1988  if (s == SC_ZERO) // case 1
1989  return sc_signed();
1990 
1991  CONVERT_INT64_2(v);
1992 
1993  // cases 2-4
1994  return mul_signed_friend(s, u.nbits, u.ndigits, u.digit,
1996 }
1997 
1998 
1999 sc_signed
2001 {
2002  small_type s = mul_signs(v.sgn, get_sign(u));
2003 
2004  if (s == SC_ZERO) // case 1
2005  return sc_signed();
2006 
2007  CONVERT_INT64_2(u);
2008 
2009  // cases 2-4
2011  v.nbits, v.ndigits, v.digit);
2012 }
2013 
2014 
2015 sc_signed
2017 {
2018  small_type s = mul_signs(u.sgn, get_sign(v));
2019 
2020  if (s == SC_ZERO) // case 1
2021  return sc_signed();
2022 
2023  CONVERT_INT64_2(v);
2024 
2025  // cases 2-4
2026  return mul_signed_friend(s, u.nbits, u.ndigits, u.digit,
2028 }
2029 
2030 
2031 sc_signed
2033 {
2034  small_type s = mul_signs(v.sgn, get_sign(u));
2035 
2036  if (s == SC_ZERO) // case 1
2037  return sc_signed();
2038 
2039  CONVERT_INT64_2(u);
2040 
2041  // cases 2-4
2043  v.nbits, v.ndigits, v.digit);
2044 }
2045 
2046 
2047 sc_signed
2048 operator * (const sc_signed &u, long v)
2049 {
2050  small_type s = mul_signs(u.sgn, get_sign(v));
2051 
2052  if (s == SC_ZERO) // case 1
2053  return sc_signed();
2054 
2055  CONVERT_LONG_2(v);
2056 
2057  // cases 2-4
2058  return mul_signed_friend(s, u.nbits, u.ndigits, u.digit,
2060 }
2061 
2062 
2063 sc_signed
2064 operator * (long u, const sc_signed &v)
2065 {
2066  small_type s = mul_signs(v.sgn, get_sign(u));
2067 
2068  if (s == SC_ZERO) // case 1
2069  return sc_signed();
2070 
2071  CONVERT_LONG_2(u);
2072 
2073  // cases 2-4
2075  v.nbits, v.ndigits, v.digit);
2076 }
2077 
2078 
2079 sc_signed
2081 {
2082  small_type s = mul_signs(u.sgn, get_sign(v));
2083 
2084  if (s == SC_ZERO) // case 1
2085  return sc_signed();
2086 
2087  CONVERT_LONG_2(v);
2088 
2089  // cases 2-4
2090  return mul_signed_friend(s, u.nbits, u.ndigits, u.digit,
2092 }
2093 
2094 
2095 sc_signed
2097 {
2098  small_type s = mul_signs(v.sgn, get_sign(u));
2099 
2100  if (s == SC_ZERO) // case 1
2101  return sc_signed();
2102 
2103  CONVERT_LONG_2(u);
2104 
2105  // cases 2-4
2107  v.nbits, v.ndigits, v.digit);
2108 }
2109 
2110 
2111 sc_signed
2112 operator * (const sc_signed &u, unsigned long v)
2113 {
2114  small_type s = mul_signs(u.sgn, get_sign(v));
2115 
2116  if (s == SC_ZERO) // case 1
2117  return sc_signed();
2118 
2119  CONVERT_LONG_2(v);
2120 
2121  // else cases 2-4
2122  return mul_signed_friend(s, u.nbits, u.ndigits, u.digit,
2124 }
2125 
2126 sc_signed
2127 operator * (unsigned long u, const sc_signed &v)
2128 {
2129  small_type s = mul_signs(v.sgn, get_sign(u));
2130 
2131  if (s == SC_ZERO) // case 1
2132  return sc_signed();
2133 
2134  CONVERT_LONG_2(u);
2135 
2136  // cases 2-4
2138  v.nbits, v.ndigits, v.digit);
2139 }
2140 
2141 // The rest of the operators in this section are included from
2142 // sc_nbcommon.cpp.
2143 
2144 
2145 // ----------------------------------------------------------------------------
2146 // SECTION: DIVISION operators: /, /=
2147 // ----------------------------------------------------------------------------
2148 
2149 // Cases to consider when finding the quotient q = floor(u/v):
2150 // Note that u = q * v + r for r < q.
2151 // 1. 0 / 0 or u / 0 => error
2152 // 2. 0 / v => 0 = 0 * v + 0
2153 // 3. u / v & &u = v => u = 1 * u + 0 - u or v can be 1 or -1
2154 // 4. u / v & &u < v => u = 0 * v + u - u can be 1 or -1
2155 // 5. u / v & &u > v => u = q * v + r - v can be 1 or -1
2156 
2157 sc_signed
2159 {
2160  small_type s = mul_signs(u.sgn, v.sgn);
2161 
2162  if (s == SC_ZERO) {
2163  div_by_zero(v.sgn); // case 1
2164  return sc_signed(); // case 2
2165  }
2166 
2167  // other cases
2168  return div_signed_friend(s, u.nbits, u.ndigits, u.digit,
2169  v.nbits, v.ndigits, v.digit);
2170 }
2171 
2172 
2173 sc_signed
2175 {
2176  small_type s = mul_signs(u.sgn, v.sgn);
2177 
2178  if (s == SC_ZERO) {
2179  div_by_zero(v.sgn); // case 1
2180  return sc_signed(); // case 2
2181  }
2182 
2183  // other cases
2184  return div_signed_friend(s, u.nbits, u.ndigits, u.digit,
2185  v.nbits, v.ndigits, v.digit);
2186 }
2187 
2188 
2189 sc_signed
2191 {
2192  small_type s = mul_signs(u.sgn, v.sgn);
2193 
2194  if (s == SC_ZERO) {
2195  div_by_zero(v.sgn); // case 1
2196  return sc_signed(); // case 2
2197  }
2198 
2199  // other cases
2200  return div_signed_friend(s, u.nbits, u.ndigits, u.digit,
2201  v.nbits, v.ndigits, v.digit);
2202 }
2203 
2204 
2205 sc_signed
2207 {
2208  small_type s = mul_signs(u.sgn, get_sign(v));
2209 
2210  if (s == SC_ZERO) {
2211  div_by_zero(v); // case 1
2212  return sc_signed(); // case 2
2213  }
2214 
2215  CONVERT_INT64_2(v);
2216 
2217  // other cases
2218  return div_signed_friend(s, u.nbits, u.ndigits, u.digit,
2220 }
2221 
2222 
2223 sc_signed
2225 {
2226  small_type s = mul_signs(v.sgn, get_sign(u));
2227 
2228  if (s == SC_ZERO) {
2229  div_by_zero(v.sgn); // case 1
2230  return sc_signed(); // case 2
2231  }
2232 
2233  CONVERT_INT64_2(u);
2234 
2235  // other cases
2237  v.nbits, v.ndigits, v.digit);
2238 }
2239 
2240 
2241 sc_signed
2243 {
2244  small_type s = mul_signs(u.sgn, get_sign(v));
2245 
2246  if (s == SC_ZERO) {
2247  div_by_zero(v); // case 1
2248  return sc_signed(); // case 2
2249  }
2250 
2251  CONVERT_INT64_2(v);
2252 
2253  // other cases
2254  return div_signed_friend(s, u.nbits, u.ndigits, u.digit,
2256 }
2257 
2258 
2259 sc_signed
2261 {
2262  small_type s = mul_signs(v.sgn, get_sign(u));
2263 
2264  if (s == SC_ZERO) {
2265  div_by_zero(v.sgn); // case 1
2266  return sc_signed(); // case 2
2267  }
2268 
2269  CONVERT_INT64_2(u);
2270 
2271  // other cases
2273  v.nbits, v.ndigits, v.digit);
2274 }
2275 
2276 
2277 sc_signed
2279 {
2280  small_type s = mul_signs(u.sgn, get_sign(v));
2281 
2282  if (s == SC_ZERO) {
2283  div_by_zero(v); // case 1
2284  return sc_signed(); // case 2
2285  }
2286 
2287  CONVERT_INT64_2(v);
2288 
2289  // other cases
2290  return div_signed_friend(s, u.nbits, u.ndigits, u.digit,
2292 }
2293 
2294 
2295 sc_signed
2297 {
2298  small_type s = mul_signs(v.sgn, get_sign(u));
2299 
2300  if (s == SC_ZERO) {
2301  div_by_zero(v.sgn); // case 1
2302  return sc_signed(); // case 2
2303 
2304  }
2305 
2306  CONVERT_INT64_2(u);
2307 
2308  // other cases
2310  v.nbits, v.ndigits, v.digit);
2311 }
2312 
2313 
2314 sc_signed
2315 operator / (const sc_signed &u, long v)
2316 {
2317  small_type s = mul_signs(u.sgn, get_sign(v));
2318 
2319  if (s == SC_ZERO) {
2320  div_by_zero(v); // case 1
2321  return sc_signed(); // case 2
2322  }
2323 
2324  CONVERT_LONG_2(v);
2325 
2326  // other cases
2327  return div_signed_friend(s, u.nbits, u.ndigits, u.digit,
2329 }
2330 
2331 
2332 sc_signed
2333 operator / (long u, const sc_signed &v)
2334 {
2335  small_type s = mul_signs(v.sgn, get_sign(u));
2336 
2337  if (s == SC_ZERO) {
2338  div_by_zero(v.sgn); // case 1
2339  return sc_signed(); // case 2
2340  }
2341 
2342  CONVERT_LONG_2(u);
2343 
2344  // other cases
2346  v.nbits, v.ndigits, v.digit);
2347 }
2348 
2349 
2350 sc_signed
2352 {
2353  small_type s = mul_signs(u.sgn, get_sign(v));
2354 
2355  if (s == SC_ZERO) {
2356  div_by_zero(v); // case 1
2357  return sc_signed(); // case 2
2358  }
2359 
2360  CONVERT_LONG_2(v);
2361 
2362  // other cases
2363  return div_signed_friend(s, u.nbits, u.ndigits, u.digit,
2365 }
2366 
2367 
2368 sc_signed
2370 {
2371  small_type s = mul_signs(v.sgn, get_sign(u));
2372 
2373  if (s == SC_ZERO) {
2374  div_by_zero(v.sgn); // case 1
2375  return sc_signed(); // case 2
2376  }
2377 
2378  CONVERT_LONG_2(u);
2379 
2380  // other cases
2382  v.nbits, v.ndigits, v.digit);
2383 }
2384 
2385 
2386 sc_signed
2387 operator / (const sc_signed &u, unsigned long v)
2388 {
2389  small_type s = mul_signs(u.sgn, get_sign(v));
2390 
2391  if (s == SC_ZERO) {
2392  div_by_zero(v); // case 1
2393  return sc_signed(); // case 2
2394  }
2395 
2396  CONVERT_LONG_2(v);
2397 
2398  // other cases
2399  return div_signed_friend(s, u.nbits, u.ndigits, u.digit,
2401 }
2402 
2403 
2404 sc_signed
2405 operator / (unsigned long u, const sc_signed &v)
2406 {
2407  small_type s = mul_signs(v.sgn, get_sign(u));
2408 
2409  if (s == SC_ZERO) {
2410  div_by_zero(v.sgn); // case 1
2411  return sc_signed(); // case 2
2412 
2413  }
2414 
2415  CONVERT_LONG_2(u);
2416 
2417  // other cases
2419  v.nbits, v.ndigits, v.digit);
2420 }
2421 
2422 // The rest of the operators in this section are included from
2423 // sc_nbcommon.cpp.
2424 
2425 
2426 // ----------------------------------------------------------------------------
2427 // SECTION: MOD operators: %, %=.
2428 // ----------------------------------------------------------------------------
2429 
2430 // Cases to consider when finding the remainder r = u % v:
2431 // Note that u = q * v + r for r < q.
2432 // 1. 0 % 0 or u % 0 => error
2433 // 2. 0 % v => 0 = 0 * v + 0
2434 // 3. u % v & &u = v => u = 1 * u + 0 - u or v can be 1 or -1
2435 // 4. u % v & &u < v => u = 0 * v + u - u can be 1 or -1
2436 // 5. u % v & &u > v => u = q * v + r - v can be 1 or -1
2437 
2438 sc_signed
2440 {
2441  if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) {
2442  div_by_zero(v.sgn); // case 1
2443  return sc_signed(); // case 2
2444  }
2445 
2446  // other cases
2447  return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2448  v.nbits, v.ndigits, v.digit);
2449 }
2450 
2451 
2452 sc_signed
2454 {
2455  if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) {
2456  div_by_zero(v.sgn); // case 1
2457  return sc_signed(); // case 2
2458  }
2459 
2460  // other cases
2461  return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2462  v.nbits, v.ndigits, v.digit);
2463 }
2464 
2465 
2466 sc_signed
2468 {
2469  if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) {
2470  div_by_zero(v.sgn); // case 1
2471  return sc_signed(); // case 2
2472  }
2473 
2474  // other cases
2475  return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2476  v.nbits, v.ndigits, v.digit);
2477 }
2478 
2479 
2480 sc_signed
2482 {
2483  small_type vs = get_sign(v);
2484 
2485  if ((u.sgn == SC_ZERO) || (vs == SC_ZERO)) {
2486  div_by_zero(v); // case 1
2487  return sc_signed(); // case 2
2488  }
2489 
2490  CONVERT_INT64_2(v);
2491 
2492  // other cases
2493  return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2495 }
2496 
2497 
2498 sc_signed
2500 {
2501  small_type us = get_sign(u);
2502 
2503  if ((us == SC_ZERO) || (v.sgn == SC_ZERO)) {
2504  div_by_zero(v.sgn); // case 1
2505  return sc_signed(); // case 2
2506  }
2507 
2508  CONVERT_INT64_2(u);
2509 
2510  // other cases
2512  v.nbits, v.ndigits, v.digit);
2513 }
2514 
2515 
2516 sc_signed
2518 {
2519  small_type vs = get_sign(v);
2520 
2521  if ((u.sgn == SC_ZERO) || (vs == SC_ZERO)) {
2522  div_by_zero(v); // case 1
2523  return sc_signed(); // case 2
2524  }
2525 
2526  CONVERT_INT64_2(v);
2527 
2528  // other cases
2529  return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2531 }
2532 
2533 
2534 sc_signed
2536 {
2537  small_type us = get_sign(u);
2538 
2539  if ((us == SC_ZERO) || (v.sgn == SC_ZERO)) {
2540  div_by_zero(v.sgn); // case 1
2541  return sc_signed(); // case 2
2542  }
2543 
2544  CONVERT_INT64_2(u);
2545 
2546  // other cases
2548  v.nbits, v.ndigits, v.digit);
2549 }
2550 
2551 
2552 sc_signed
2554 {
2555  if ((u.sgn == SC_ZERO) || (v == 0)) {
2556  div_by_zero(v); // case 1
2557  return sc_signed(); // case 2
2558  }
2559 
2560  CONVERT_INT64_2(v);
2561 
2562  // other cases
2563  return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2565 }
2566 
2567 
2568 sc_signed
2570 {
2571  if ((u == 0) || (v.sgn == SC_ZERO)) {
2572  div_by_zero(v.sgn); // case 1
2573  return sc_signed(); // case 2
2574  }
2575 
2576  CONVERT_INT64(u);
2577 
2578  // other cases
2580  v.nbits, v.ndigits, v.digit);
2581 }
2582 
2583 
2584 sc_signed
2585 operator % (const sc_signed &u, long v)
2586 {
2587  small_type vs = get_sign(v);
2588 
2589  if ((u.sgn == SC_ZERO) || (vs == SC_ZERO)) {
2590  div_by_zero(v); // case 1
2591  return sc_signed(); // case 2
2592  }
2593 
2594  CONVERT_LONG_2(v);
2595 
2596  // other cases
2597  return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2599 }
2600 
2601 
2602 sc_signed
2603 operator % (long u, const sc_signed &v)
2604 {
2605  small_type us = get_sign(u);
2606 
2607  if ((us == SC_ZERO) || (v.sgn == SC_ZERO)) {
2608  div_by_zero(v.sgn); // case 1
2609  return sc_signed(); // case 2
2610  }
2611 
2612  CONVERT_LONG_2(u);
2613 
2614  // other cases
2616  v.nbits, v.ndigits, v.digit);
2617 }
2618 
2619 
2620 sc_signed
2622 {
2623 
2624  small_type vs = get_sign(v);
2625 
2626  if ((u.sgn == SC_ZERO) || (vs == SC_ZERO)) {
2627  div_by_zero(v); // case 1
2628  return sc_signed(); // case 2
2629  }
2630 
2631  CONVERT_LONG_2(v);
2632 
2633  // other cases
2634  return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2636 }
2637 
2638 
2639 sc_signed
2641 {
2642  small_type us = get_sign(u);
2643 
2644  if ((us == SC_ZERO) || (v.sgn == SC_ZERO)) {
2645  div_by_zero(v.sgn); // case 1
2646  return sc_signed(); // case 2
2647  }
2648 
2649  CONVERT_LONG_2(u);
2650 
2651  // other cases
2653  v.nbits, v.ndigits, v.digit);
2654 }
2655 
2656 
2657 sc_signed
2658 operator % (const sc_signed &u, unsigned long v)
2659 {
2660  if ((u.sgn == SC_ZERO) || (v == 0)) {
2661  div_by_zero(v); // case 1
2662  return sc_signed(); // case 2
2663  }
2664 
2665  CONVERT_LONG_2(v);
2666 
2667  // other cases
2668  return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2670 }
2671 
2672 
2673 sc_signed
2674 operator % (unsigned long u, const sc_signed &v)
2675 {
2676  if ((u == 0) || (v.sgn == SC_ZERO)) {
2677  div_by_zero(v.sgn); // case 1
2678  return sc_signed(); // case 2
2679  }
2680 
2681  CONVERT_LONG(u);
2682 
2683  // other cases
2685  v.nbits, v.ndigits, v.digit);
2686 }
2687 
2688 // The rest of the operators in this section are included from
2689 // sc_nbcommon.cpp.
2690 
2691 
2692 // ----------------------------------------------------------------------------
2693 // SECTION: Bitwise AND operators: &, &=
2694 // ----------------------------------------------------------------------------
2695 
2696 // Cases to consider when computing u &v:
2697 // 1. u & 0 = 0 &v = 0
2698 // 2. u &v => sgn = +
2699 // 3. (-u) & (-v) => sgn = -
2700 // 4. u & (-v) => sgn = +
2701 // 5. (-u) &v => sgn = +
2702 
2703 sc_signed
2705 {
2706  if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) // case 1
2707  return sc_signed();
2708 
2709  // other cases
2710  return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2711  v.sgn, v.nbits, v.ndigits, v.digit);
2712 }
2713 
2714 
2715 sc_signed
2717 {
2718  if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) // case 1
2719  return sc_signed();
2720 
2721  // other cases
2722  return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2723  v.sgn, v.nbits, v.ndigits, v.digit);
2724 }
2725 
2726 
2727 sc_signed
2729 {
2730  if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) // case 1
2731  return sc_signed();
2732 
2733  // other cases
2734  return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2735  v.sgn, v.nbits, v.ndigits, v.digit);
2736 }
2737 
2738 
2739 sc_signed
2741 {
2742  if ((u.sgn == SC_ZERO) || (v == 0)) // case 1
2743  return sc_signed();
2744 
2745  CONVERT_INT64(v);
2746 
2747  // other cases
2748  return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2750 }
2751 
2752 
2753 sc_signed
2755 {
2756  if ((u == 0) || (v.sgn == SC_ZERO)) // case 1
2757  return sc_signed();
2758 
2759  CONVERT_INT64(u);
2760 
2761  // other cases
2763  v.sgn, v.nbits, v.ndigits, v.digit);
2764 }
2765 
2766 
2767 sc_signed
2769 {
2770  if ((u.sgn == SC_ZERO) || (v == 0)) // case 1
2771  return sc_signed();
2772 
2773  CONVERT_INT64(v);
2774 
2775  // other cases
2776  return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2778 }
2779 
2780 
2781 sc_signed
2783 {
2784  if ((u == 0) || (v.sgn == SC_ZERO)) // case 1
2785  return sc_signed();
2786 
2787  CONVERT_INT64(u);
2788 
2789  // other cases
2791  v.sgn, v.nbits, v.ndigits, v.digit);
2792 }
2793 
2794 
2795 sc_signed
2797 {
2798  if ((u.sgn == SC_ZERO) || (v == 0)) // case 1
2799  return sc_signed();
2800 
2801  CONVERT_INT64(v);
2802 
2803  // other cases
2804  return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2806 }
2807 
2808 
2809 sc_signed
2811 {
2812  if ((u == 0) || (v.sgn == SC_ZERO)) // case 1
2813  return sc_signed();
2814 
2815  CONVERT_INT64(u);
2816 
2817  // other cases
2819  v.sgn, v.nbits, v.ndigits, v.digit);
2820 }
2821 
2822 
2823 sc_signed
2824 operator & (const sc_signed &u, long v)
2825 {
2826  if ((u.sgn == SC_ZERO) || (v == 0)) // case 1
2827  return sc_signed();
2828 
2829  CONVERT_LONG(v);
2830 
2831  // other cases
2832  return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2834 }
2835 
2836 
2837 sc_signed
2838 operator & (long u, const sc_signed &v)
2839 {
2840  if ((u == 0) || (v.sgn == SC_ZERO)) // case 1
2841  return sc_signed();
2842 
2843  CONVERT_LONG(u);
2844 
2845  // other cases
2847  v.sgn, v.nbits, v.ndigits, v.digit);
2848 }
2849 
2850 
2851 sc_signed
2853 {
2854  if ((u.sgn == SC_ZERO) || (v == 0)) // case 1
2855  return sc_signed();
2856 
2857  CONVERT_LONG(v);
2858 
2859  // other cases
2860  return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2862 }
2863 
2864 
2865 sc_signed
2867 {
2868  if ((u == 0) || (v.sgn == SC_ZERO)) // case 1
2869  return sc_signed();
2870 
2871  CONVERT_LONG(u);
2872 
2873  // other cases
2875  v.sgn, v.nbits, v.ndigits, v.digit);
2876 }
2877 
2878 
2879 sc_signed
2880 operator & (const sc_signed &u, unsigned long v)
2881 {
2882  if ((u.sgn == SC_ZERO) || (v == 0)) // case 1
2883  return sc_signed();
2884 
2885  CONVERT_LONG(v);
2886 
2887  // other cases
2888  return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2890 }
2891 
2892 
2893 sc_signed
2894 operator & (unsigned long u, const sc_signed &v)
2895 {
2896  if ((u == 0) || (v.sgn == SC_ZERO)) // case 1
2897  return sc_signed();
2898 
2899  CONVERT_LONG(u);
2900 
2901  // other cases
2903  v.sgn, v.nbits, v.ndigits, v.digit);
2904 }
2905 
2906 // The rest of the operators in this section are included from
2907 // sc_nbcommon.cpp.
2908 
2909 
2910 // ----------------------------------------------------------------------------
2911 // SECTION: Bitwise OR operators: |, |=
2912 // ----------------------------------------------------------------------------
2913 
2914 // Cases to consider when computing u | v:
2915 // 1. u | 0 = u
2916 // 2. 0 | v = v
2917 // 3. u | v => sgn = +
2918 // 4. (-u) | (-v) => sgn = -
2919 // 5. u | (-v) => sgn = -
2920 // 6. (-u) | v => sgn = -
2921 
2922 sc_signed
2924 {
2925  if (v.sgn == SC_ZERO) // case 1
2926  return sc_signed(u);
2927 
2928  if (u.sgn == SC_ZERO) // case 2
2929  return sc_signed(v);
2930 
2931  // other cases
2932  return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2933  v.sgn, v.nbits, v.ndigits, v.digit);
2934 }
2935 
2936 
2937 sc_signed
2939 {
2940  if (v.sgn == SC_ZERO) // case 1
2941  return sc_signed(u);
2942 
2943  if (u.sgn == SC_ZERO) // case 2
2944  return sc_signed(v);
2945 
2946  // other cases
2947  return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2948  v.sgn, v.nbits, v.ndigits, v.digit);
2949 }
2950 
2951 
2952 sc_signed
2954 {
2955  if (v.sgn == SC_ZERO) // case 1
2956  return sc_signed(u);
2957 
2958  if (u.sgn == SC_ZERO) // case 2
2959  return sc_signed(v);
2960 
2961  // other cases
2962  return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2963  v.sgn, v.nbits, v.ndigits, v.digit);
2964 }
2965 
2966 
2967 sc_signed
2969 {
2970  if (v == 0) // case 1
2971  return sc_signed(u);
2972 
2973  CONVERT_INT64(v);
2974 
2975  if (u.sgn == SC_ZERO) // case 2
2976  return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
2977 
2978  // other cases
2979  return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
2981 }
2982 
2983 
2984 sc_signed
2986 {
2987  if (u == 0)
2988  return sc_signed(v);
2989 
2990  CONVERT_INT64(u);
2991 
2992  if (v.sgn == SC_ZERO)
2993  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
2994 
2995  // other cases
2997  v.sgn, v.nbits, v.ndigits, v.digit);
2998 }
2999 
3000 
3001 sc_signed
3003 {
3004  if (v == 0) // case 1
3005  return sc_signed(u);
3006 
3007  CONVERT_INT64(v);
3008 
3009  if (u.sgn == SC_ZERO) // case 2
3010  return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
3011 
3012  // other cases
3013  return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3015 }
3016 
3017 
3018 sc_signed
3020 {
3021  if (u == 0)
3022  return sc_signed(v);
3023 
3024  CONVERT_INT64(u);
3025 
3026  if (v.sgn == SC_ZERO)
3027  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
3028 
3029  // other cases
3031  v.sgn, v.nbits, v.ndigits, v.digit);
3032 }
3033 
3034 
3035 sc_signed
3037 {
3038  if (v == 0) // case 1
3039  return sc_signed(u);
3040 
3041  CONVERT_INT64(v);
3042 
3043  if (u.sgn == SC_ZERO) // case 2
3044  return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
3045 
3046  // other cases
3047  return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3049 }
3050 
3051 
3052 sc_signed
3054 {
3055  if (u == 0)
3056  return sc_signed(v);
3057 
3058  CONVERT_INT64(u);
3059 
3060  if (v.sgn == SC_ZERO)
3061  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
3062 
3063  // other cases
3065  v.sgn, v.nbits, v.ndigits, v.digit);
3066 }
3067 
3068 
3069 sc_signed
3070 operator | (const sc_signed &u, long v)
3071 {
3072  if (v == 0) // case 1
3073  return sc_signed(u);
3074 
3075  CONVERT_LONG(v);
3076 
3077  if (u.sgn == SC_ZERO) // case 2
3078  return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
3079 
3080  // other cases
3081  return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3083 }
3084 
3085 
3086 sc_signed
3087 operator | (long u, const sc_signed &v)
3088 {
3089  if (u == 0)
3090  return sc_signed(v);
3091 
3092  CONVERT_LONG(u);
3093 
3094  if (v.sgn == SC_ZERO)
3095  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
3096 
3097  // other cases
3099  v.sgn, v.nbits, v.ndigits, v.digit);
3100 }
3101 
3102 
3103 sc_signed
3105 {
3106  if (v == 0) // case 1
3107  return sc_signed(u);
3108 
3109  CONVERT_LONG(v);
3110 
3111  if (u.sgn == SC_ZERO) // case 2
3112  return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
3113 
3114  // other cases
3115  return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3117 }
3118 
3119 
3120 sc_signed
3122 {
3123  if (u == 0)
3124  return sc_signed(v);
3125 
3126  CONVERT_LONG(u);
3127 
3128  if (v.sgn == SC_ZERO)
3129  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
3130 
3131  // other cases
3133  v.sgn, v.nbits, v.ndigits, v.digit);
3134 }
3135 
3136 
3137 sc_signed
3138 operator | (const sc_signed &u, unsigned long v)
3139 {
3140  if (v == 0) // case 1
3141  return sc_signed(u);
3142 
3143  CONVERT_LONG(v);
3144 
3145  if (u.sgn == SC_ZERO) // case 2
3146  return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
3147 
3148  // other cases
3149  return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3151 }
3152 
3153 
3154 sc_signed
3155 operator | (unsigned long u, const sc_signed &v)
3156 {
3157  if (u == 0)
3158  return sc_signed(v);
3159 
3160  CONVERT_LONG(u);
3161 
3162  if (v.sgn == SC_ZERO)
3163  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
3164 
3165  // other cases
3167  v.sgn, v.nbits, v.ndigits, v.digit);
3168 }
3169 
3170 // The rest of the operators in this section are included from
3171 // sc_nbcommon.cpp.
3172 
3173 
3174 // ----------------------------------------------------------------------------
3175 // SECTION: Bitwise XOR operators: ^, ^=
3176 // ----------------------------------------------------------------------------
3177 
3178 // Cases to consider when computing u ^ v:
3179 // Note that u ^ v = (~u &v) | (u & ~v).
3180 // 1. u ^ 0 = u
3181 // 2. 0 ^ v = v
3182 // 3. u ^ v => sgn = +
3183 // 4. (-u) ^ (-v) => sgn = -
3184 // 5. u ^ (-v) => sgn = -
3185 // 6. (-u) ^ v => sgn = +
3186 
3187 sc_signed
3189 {
3190 
3191  if (v.sgn == SC_ZERO) // case 1
3192  return sc_signed(u);
3193 
3194  if (u.sgn == SC_ZERO) // case 2
3195  return sc_signed(v);
3196 
3197  // other cases
3198  return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3199  v.sgn, v.nbits, v.ndigits, v.digit);
3200 
3201 }
3202 
3203 
3204 sc_signed
3206 {
3207  if (v.sgn == SC_ZERO) // case 1
3208  return sc_signed(u);
3209 
3210  if (u.sgn == SC_ZERO) // case 2
3211  return sc_signed(v);
3212 
3213  // other cases
3214  return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3215  v.sgn, v.nbits, v.ndigits, v.digit);
3216 }
3217 
3218 
3219 sc_signed
3221 {
3222  if (v.sgn == SC_ZERO) // case 1
3223  return sc_signed(u);
3224 
3225  if (u.sgn == SC_ZERO) // case 2
3226  return sc_signed(v);
3227 
3228  // other cases
3229  return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3230  v.sgn, v.nbits, v.ndigits, v.digit);
3231 }
3232 
3233 
3234 sc_signed
3236 {
3237  if (v == 0) // case 1
3238  return sc_signed(u);
3239 
3240  CONVERT_INT64(v);
3241 
3242  if (u.sgn == SC_ZERO) // case 2
3243  return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
3244 
3245  // other cases
3246  return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3248 }
3249 
3250 
3251 sc_signed
3253 {
3254  if (u == 0)
3255  return sc_signed(v);
3256 
3257  CONVERT_INT64(u);
3258 
3259  if (v.sgn == SC_ZERO)
3260  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
3261 
3262  // other cases
3264  v.sgn, v.nbits, v.ndigits, v.digit);
3265 }
3266 
3267 
3268 sc_signed
3270 {
3271  if (v == 0) // case 1
3272  return sc_signed(u);
3273 
3274  CONVERT_INT64(v);
3275 
3276  if (u.sgn == SC_ZERO) // case 2
3277  return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
3278 
3279  // other cases
3280  return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3282 }
3283 
3284 
3285 sc_signed
3287 {
3288  if (u == 0)
3289  return sc_signed(v);
3290 
3291  CONVERT_INT64(u);
3292 
3293  if (v.sgn == SC_ZERO)
3294  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
3295 
3296  // other cases
3298  v.sgn, v.nbits, v.ndigits, v.digit);
3299 }
3300 
3301 
3302 sc_signed
3304 {
3305  if (v == 0) // case 1
3306  return sc_signed(u);
3307 
3308  CONVERT_INT64(v);
3309 
3310  if (u.sgn == SC_ZERO) // case 2
3311  return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
3312 
3313  // other cases
3314  return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3316 }
3317 
3318 sc_signed
3320 {
3321  if (u == 0)
3322  return sc_signed(v);
3323 
3324  CONVERT_INT64(u);
3325 
3326  if (v.sgn == SC_ZERO)
3327  return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
3328 
3329  // other cases
3331  v.sgn, v.nbits, v.ndigits, v.digit);
3332 }
3333 
3334 
3335 sc_signed
3336 operator ^ (const sc_signed &u, long v)
3337 {
3338  if (v == 0) // case 1
3339  return sc_signed(u);
3340 
3341  CONVERT_LONG(v);
3342 
3343  if (u.sgn == SC_ZERO) // case 2
3344  return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
3345 
3346  // other cases
3347  return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3349 }
3350 
3351 
3352 sc_signed
3353 operator ^ (long u, const sc_signed &v)
3354 {
3355  if (u == 0)
3356  return sc_signed(v);
3357 
3358  CONVERT_LONG(u);
3359 
3360  if (v.sgn == SC_ZERO)
3361  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
3362 
3363  // other cases
3365  v.sgn, v.nbits, v.ndigits, v.digit);
3366 }
3367 
3368 
3369 sc_signed
3371 {
3372  if (v == 0) // case 1
3373  return sc_signed(u);
3374 
3375  CONVERT_LONG(v);
3376 
3377  if (u.sgn == SC_ZERO) // case 2
3378  return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
3379 
3380  // other cases
3381  return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3383 }
3384 
3385 
3386 sc_signed
3388 {
3389  if (u == 0)
3390  return sc_signed(v);
3391 
3392  CONVERT_LONG(u);
3393 
3394  if (v.sgn == SC_ZERO)
3395  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
3396 
3397  // other cases
3399  v.sgn, v.nbits, v.ndigits, v.digit);
3400 }
3401 
3402 
3403 sc_signed
3404 operator ^ (const sc_signed &u, unsigned long v)
3405 {
3406  if (v == 0) // case 1
3407  return sc_signed(u);
3408 
3409  CONVERT_LONG(v);
3410 
3411  if (u.sgn == SC_ZERO) // case 2
3412  return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
3413 
3414  // other cases
3415  return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit,
3417 }
3418 
3419 sc_signed
3420 operator ^ (unsigned long u, const sc_signed &v)
3421 {
3422  if (u == 0)
3423  return sc_signed(v);
3424 
3425  CONVERT_LONG(u);
3426 
3427  if (v.sgn == SC_ZERO)
3428  return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
3429 
3430  // other cases
3432  v.sgn, v.nbits, v.ndigits, v.digit);
3433 }
3434 
3435 // The rest of the operators in this section are included from
3436 // sc_nbcommon.cpp.
3437 
3438 
3439 // ----------------------------------------------------------------------------
3440 // SECTION: Bitwise NOT operator: ~
3441 // ----------------------------------------------------------------------------
3442 
3443 // Operators in this section are included from sc_nbcommon.cpp.
3444 
3445 
3446 // ----------------------------------------------------------------------------
3447 // SECTION: LEFT SHIFT operators: <<, <<=
3448 // ----------------------------------------------------------------------------
3449 
3450 sc_signed
3452 {
3453  if (v.sgn == SC_ZERO)
3454  return sc_signed(u);
3455 
3456  return operator << (u, v.to_ulong());
3457 }
3458 
3459 // The rest of the operators in this section are included from
3460 // sc_nbcommon.cpp.
3461 
3462 
3463 // ----------------------------------------------------------------------------
3464 // SECTION: RIGHT SHIFT operators: >>, >>=
3465 // ----------------------------------------------------------------------------
3466 
3467 sc_signed
3469 {
3470  if (v.sgn == SC_ZERO)
3471  return sc_signed(u);
3472 
3473  return operator >> (u, v.to_ulong());
3474 }
3475 
3476 // The rest of the operators in this section are included from
3477 // sc_nbcommon.cpp.
3478 
3479 
3480 // ----------------------------------------------------------------------------
3481 // SECTION: Unary arithmetic operators.
3482 // ----------------------------------------------------------------------------
3483 
3484 sc_signed
3486 {
3487  return sc_signed(u);
3488 }
3489 
3490 sc_signed
3492 {
3493  return sc_signed(u, -u.sgn);
3494 }
3495 
3496 sc_signed
3498 {
3499  return sc_signed(u, -u.sgn);
3500 }
3501 
3502 
3503 // ----------------------------------------------------------------------------
3504 // SECTION: EQUAL operator: ==
3505 // ----------------------------------------------------------------------------
3506 
3507 bool
3509 {
3510  if (u.sgn != v.sgn)
3511  return false;
3512 
3513  if (&u == &v)
3514  return true;
3515 
3516  if (vec_skip_and_cmp(u.ndigits, u.digit, v.ndigits, v.digit) != 0)
3517  return false;
3518 
3519  return true;
3520 }
3521 
3522 
3523 bool
3525 {
3526  CONVERT_INT64(v);
3527 
3528  if (u.sgn != vs)
3529  return false;
3530 
3531  if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_INT64, vd) != 0)
3532  return false;
3533 
3534  return true;
3535 }
3536 
3537 
3538 bool
3540 {
3541  CONVERT_INT64(u);
3542 
3543  if (us != v.sgn)
3544  return false;
3545 
3546  if (vec_skip_and_cmp(DIGITS_PER_INT64, ud, v.ndigits, v.digit) != 0)
3547  return false;
3548 
3549  return true;
3550 }
3551 
3552 
3553 bool
3555 {
3556  CONVERT_INT64(v);
3557 
3558  if (u.sgn != vs)
3559  return false;
3560 
3561  if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_INT64, vd) != 0)
3562  return false;
3563 
3564  return true;
3565 }
3566 
3567 
3568 bool
3570 {
3571  CONVERT_INT64(u);
3572 
3573  if (us != v.sgn)
3574  return false;
3575 
3576  if (vec_skip_and_cmp(DIGITS_PER_INT64, ud, v.ndigits, v.digit) != 0)
3577  return false;
3578 
3579  return true;
3580 }
3581 
3582 
3583 bool
3584 operator == (const sc_signed &u, long v)
3585 {
3586  CONVERT_LONG(v);
3587 
3588  if (u.sgn != vs)
3589  return false;
3590 
3591  if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_LONG, vd) != 0)
3592  return false;
3593 
3594  return true;
3595 }
3596 
3597 
3598 bool
3599 operator == (long u, const sc_signed &v)
3600 {
3601  CONVERT_LONG(u);
3602 
3603  if (us != v.sgn)
3604  return false;
3605 
3606  if (vec_skip_and_cmp(DIGITS_PER_LONG, ud, v.ndigits, v.digit) != 0)
3607  return false;
3608 
3609  return true;
3610 }
3611 
3612 
3613 bool
3614 operator == (const sc_signed &u, unsigned long v)
3615 {
3616  CONVERT_LONG(v);
3617 
3618  if (u.sgn != vs)
3619  return false;
3620 
3621  if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_LONG, vd) != 0)
3622  return false;
3623 
3624  return true;
3625 }
3626 
3627 
3628 bool
3629 operator == (unsigned long u, const sc_signed &v)
3630 {
3631  CONVERT_LONG(u);
3632 
3633  if (us != v.sgn)
3634  return false;
3635 
3636  if (vec_skip_and_cmp(DIGITS_PER_LONG, ud, v.ndigits, v.digit) != 0)
3637  return false;
3638 
3639  return true;
3640 }
3641 
3642 
3643 // ----------------------------------------------------------------------------
3644 // SECTION: NOT_EQUAL operator: !=
3645 // ----------------------------------------------------------------------------
3646 
3647 // Operators in this section are included from sc_nbcommon.cpp.
3648 
3649 
3650 // ----------------------------------------------------------------------------
3651 // SECTION: LESS THAN operator: <
3652 // ----------------------------------------------------------------------------
3653 
3654 bool
3656 {
3657  if (u.sgn < v.sgn)
3658  return true;
3659 
3660  if (u.sgn > v.sgn)
3661  return false;
3662 
3663  // u.sgn == v.sgn
3664 
3665  if (&u == &v)
3666  return false;
3667 
3668  if (u.sgn == SC_POS) {
3669  if (vec_skip_and_cmp(u.ndigits, u.digit, v.ndigits, v.digit) < 0)
3670  return true;
3671  } else if (u.sgn == SC_NEG) {
3672  if (vec_skip_and_cmp(u.ndigits, u.digit, v.ndigits, v.digit) > 0)
3673  return true;
3674  }
3675 
3676  return false;
3677 }
3678 
3679 
3680 bool
3682 {
3683  CONVERT_INT64(v);
3684 
3685  if (u.sgn < vs)
3686  return true;
3687 
3688  if (u.sgn > vs)
3689  return false;
3690 
3691  // u.sgn == vs
3692 
3693  if (vs == SC_POS) {
3694  if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_INT64, vd) < 0)
3695  return true;
3696  } else if (vs == SC_NEG) {
3697  if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_INT64, vd) > 0)
3698  return true;
3699  }
3700 
3701  return false;
3702 }
3703 
3704 
3705 bool
3707 {
3708  CONVERT_INT64(u);
3709 
3710  if (us < v.sgn)
3711  return true;
3712 
3713  if (us > v.sgn)
3714  return false;
3715 
3716  // us == v.sgn
3717 
3718  if (us == SC_POS) {
3719  if (vec_skip_and_cmp(DIGITS_PER_INT64, ud, v.ndigits, v.digit) < 0)
3720  return true;
3721  } else if (us == SC_NEG) {
3722  if (vec_skip_and_cmp(DIGITS_PER_INT64, ud, v.ndigits, v.digit) > 0)
3723  return true;
3724  }
3725 
3726  return false;
3727 }
3728 
3729 
3730 bool
3732 {
3733  CONVERT_INT64(v);
3734 
3735  if (u.sgn < vs)
3736  return true;
3737 
3738  if (u.sgn > vs)
3739  return false;
3740 
3741  // u.sgn == vs
3742 
3743  if (vs == SC_POS) {
3744  if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_INT64, vd) < 0)
3745  return true;
3746  }
3747 
3748  return false;
3749 }
3750 
3751 
3752 bool
3754 {
3755  CONVERT_INT64(u);
3756 
3757  if (us < v.sgn)
3758  return true;
3759 
3760  if (us > v.sgn)
3761  return false;
3762 
3763  // us == v.sgn
3764 
3765  if (us == SC_POS) {
3766  if (vec_skip_and_cmp(DIGITS_PER_INT64, ud, v.ndigits, v.digit) < 0)
3767  return true;
3768  }
3769 
3770  return false;
3771 }
3772 
3773 
3774 bool
3775 operator < (const sc_signed &u, long v)
3776 {
3777  CONVERT_LONG(v);
3778 
3779  if (u.sgn < vs)
3780  return true;
3781 
3782  if (u.sgn > vs)
3783  return false;
3784 
3785  // u.sgn == vs
3786 
3787  if (vs == SC_POS) {
3788  if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_LONG, vd) < 0)
3789  return true;
3790 
3791  } else if (vs == SC_NEG) {
3792  if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_LONG, vd) > 0)
3793  return true;
3794  }
3795 
3796  return false;
3797 }
3798 
3799 
3800 bool
3801 operator < (long u, const sc_signed &v)
3802 {
3803  CONVERT_LONG(u);
3804 
3805  if (us < v.sgn)
3806  return true;
3807 
3808  if (us > v.sgn)
3809  return false;
3810 
3811  // us == v.sgn
3812 
3813  if (us == SC_POS) {
3814  if (vec_skip_and_cmp(DIGITS_PER_LONG, ud, v.ndigits, v.digit) < 0)
3815  return true;
3816  } else if (us == SC_NEG) {
3817  if (vec_skip_and_cmp(DIGITS_PER_LONG, ud, v.ndigits, v.digit) > 0)
3818  return true;
3819  }
3820 
3821  return false;
3822 }
3823 
3824 
3825 bool
3826 operator < (const sc_signed &u, unsigned long v)
3827 {
3828  CONVERT_LONG(v);
3829 
3830  if (u.sgn < vs)
3831  return true;
3832 
3833  if (u.sgn > vs)
3834  return false;
3835 
3836  // u.sgn == vs
3837 
3838  if (vs == SC_POS) {
3839  if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_LONG, vd) < 0)
3840  return true;
3841  }
3842 
3843  return false;
3844 }
3845 
3846 
3847 bool
3848 operator < (unsigned long u, const sc_signed &v)
3849 {
3850  CONVERT_LONG(u);
3851 
3852  if (us < v.sgn)
3853  return true;
3854 
3855  if (us > v.sgn)
3856  return false;
3857 
3858  // us == v.sgn
3859 
3860  if (us == SC_POS) {
3861  if (vec_skip_and_cmp(DIGITS_PER_LONG, ud, v.ndigits, v.digit) < 0)
3862  return true;
3863  }
3864 
3865  return false;
3866 }
3867 
3868 
3869 // ---------------------------------------------------------------------------
3870 // SECTION: LESS THAN or EQUAL operator: <=
3871 // ---------------------------------------------------------------------------
3872 
3873 // Operators in this section are included from sc_nbcommon.cpp.
3874 
3875 
3876 // ---------------------------------------------------------------------------
3877 // SECTION: GREATER THAN operator: >
3878 // ---------------------------------------------------------------------------
3879 
3880 // Operators in this section are included from sc_nbcommon.cpp.
3881 
3882 
3883 // ---------------------------------------------------------------------------
3884 // SECTION: GREATER THAN or EQUAL operator: >=
3885 // ---------------------------------------------------------------------------
3886 
3887 // Operators in this section are included from sc_nbcommon.cpp.
3888 
3889 
3890 // ---------------------------------------------------------------------------
3891 // SECTION: Public members - Other utils.
3892 // ---------------------------------------------------------------------------
3893 
3894 bool
3895 sc_signed::iszero() const
3896 {
3897  if (sgn == SC_ZERO)
3898  return true;
3899  else if (sgn != SC_NOSIGN)
3900  return false;
3901  else
3902  return check_for_zero(ndigits, digit);
3903 }
3904 
3905 
3906 bool
3907 sc_signed::sign() const
3908 {
3909  if (sgn == SC_NEG)
3910  return 1;
3911  else if (sgn != SC_NOSIGN)
3912  return 0;
3913  else
3914  return ((digit[ndigits - 1] & one_and_zeros(bit_ord(nbits - 1))) != 0);
3915 }
3916 
3917 // The rest of the utils in this section are included from sc_nbcommon.cpp.
3918 
3919 
3920 // ----------------------------------------------------------------------------
3921 // SECTION: Private members.
3922 // ----------------------------------------------------------------------------
3923 
3924 // The private members in this section are included from sc_nbcommon.cpp.
3925 
3926 #define CLASS_TYPE sc_signed
3927 #define CLASS_TYPE_STR "sc_signed"
3928 
3929 #define ADD_HELPER add_signed_friend
3930 #define SUB_HELPER sub_signed_friend
3931 #define MUL_HELPER mul_signed_friend
3932 #define DIV_HELPER div_signed_friend
3933 #define MOD_HELPER mod_signed_friend
3934 #define AND_HELPER and_signed_friend
3935 #define OR_HELPER or_signed_friend
3936 #define XOR_HELPER xor_signed_friend
3937 
3938 #include "sc_nbfriends.inc"
3939 
3940 #undef SC_UNSIGNED
3941 #define SC_SIGNED
3942 #define IF_SC_SIGNED 1 // 1 = sc_signed
3943 #define CLASS_TYPE_SUBREF sc_signed_subref_r
3944 #define OTHER_CLASS_TYPE sc_unsigned
3945 #define OTHER_CLASS_TYPE_SUBREF sc_unsigned_subref_r
3946 
3947 #define MUL_ON_HELPER mul_on_help_signed
3948 #define DIV_ON_HELPER div_on_help_signed
3949 #define MOD_ON_HELPER mod_on_help_signed
3950 
3951 #include "sc_nbcommon.inc"
3952 
3953 #undef MOD_ON_HELPER
3954 #undef DIV_ON_HELPER
3955 #undef MUL_ON_HELPER
3956 
3957 #undef OTHER_CLASS_TYPE_SUBREF
3958 #undef OTHER_CLASS_TYPE
3959 #undef CLASS_TYPE_SUBREF
3960 #undef IF_SC_SIGNED
3961 #undef SC_SIGNED
3962 
3963 #undef XOR_HELPER
3964 #undef OR_HELPER
3965 #undef AND_HELPER
3966 #undef MOD_HELPER
3967 #undef DIV_HELPER
3968 #undef MUL_HELPER
3969 #undef SUB_HELPER
3970 #undef ADD_HELPER
3971 
3972 #undef CLASS_TYPE
3973 #undef CLASS_TYPE_STR
3974 
3975 #include "sc_signed_bitref.inc"
3976 #include "sc_signed_subref.inc"
3977 
3978 #undef CONVERT_LONG
3979 #undef CONVERT_LONG_2
3980 #undef CONVERT_INT64
3981 #undef CONVERT_INT64_2
3982 
3983 } // namespace sc_dt
BITS_PER_ULONG
#define BITS_PER_ULONG
Definition: sc_nbdefs.hh:221
sc_dt::div_signed_friend
sc_signed div_signed_friend(small_type s, int unb, int und, const sc_digit *ud, int vnb, int vnd, const sc_digit *vd)
gem5::ArmISA::len
Bitfield< 18, 16 > len
Definition: misc_types.hh:445
sc_dt::operator<=
bool operator<=(const sc_uint_base &u, const sc_signed &v)
Definition: sc_signed.cc:1203
sc_dt::operator>>
sc_signed operator>>(const sc_signed &u, const sc_unsigned &v)
Definition: sc_signed.cc:3468
sc_dt::operator|=
X & operator|=(sc_proxy< X > &px, const sc_proxy< Y > &py)
Definition: sc_lv_base.hh:450
sc_dt::sc_logic::to_bool
bool to_bool() const
Definition: sc_logic.hh:272
sc_core::SC_ID_INIT_FAILED_
const char SC_ID_INIT_FAILED_[]
Definition: messages.cc:34
messages.hh
sc_dt::operator^
sc_signed operator^(unsigned long u, const sc_signed &v)
Definition: sc_signed.cc:3420
sc_dt::one_and_zeros
sc_digit one_and_zeros(int n)
Definition: sc_nbutils.hh:291
sc_dt
Definition: sc_bit.cc:67
sc_dt::vec_zero
void vec_zero(int from, int ulen, sc_digit *u)
Definition: sc_nbutils.hh:405
test
Definition: test.h:38
gem5::sim_clock::as_float::us
double us
microsecond
Definition: core.cc:55
sc_core
Definition: messages.cc:31
sc_dt::operator&
sc_signed operator&(unsigned long u, const sc_signed &v)
Definition: sc_signed.cc:2894
CONVERT_INT64_2
#define CONVERT_INT64_2(u)
Definition: sc_signed.cc:1269
sc_dt::int_type
int64 int_type
Definition: sc_nbdefs.hh:240
sc_dt::sc_digit
unsigned int sc_digit
Definition: sc_nbdefs.hh:197
sc_int_base.hh
sc_dt::check_for_zero
small_type check_for_zero(small_type s, int ulen, const sc_digit *u)
Definition: sc_nbutils.hh:571
sc_dt::to_string
const std::string to_string(sc_enc enc)
Definition: sc_fxdefs.cc:91
sc_dt::get_sign
small_type get_sign(Type &u)
Definition: sc_nbutils.hh:497
sc_dt::operator!=
bool operator!=(const sc_uint_base &u, const sc_signed &v)
Definition: sc_signed.cc:1177
sc_dt::sc_bv_base
Definition: sc_bv_base.hh:105
DIGITS_PER_LONG
#define DIGITS_PER_LONG
Definition: sc_nbdefs.hh:227
sc_dt::sc_int_base
Definition: sc_int_base.hh:494
DIGITS_PER_ULONG
#define DIGITS_PER_ULONG
Definition: sc_nbdefs.hh:230
gem5::ArmISA::a
Bitfield< 8 > a
Definition: misc_types.hh:66
sc_core::SC_ID_CONVERSION_FAILED_
const char SC_ID_CONVERSION_FAILED_[]
Definition: messages.cc:37
sc_dt::operator|
sc_signed operator|(unsigned long u, const sc_signed &v)
Definition: sc_signed.cc:3155
sc_dt::operator==
bool operator==(unsigned long u, const sc_signed &v)
Definition: sc_signed.cc:3629
sc_dt::operator&=
X & operator&=(sc_proxy< X > &px, const sc_proxy< Y > &py)
Definition: sc_lv_base.hh:359
sc_bv_base.hh
sc_dt::operator<<
sc_signed operator<<(const sc_signed &u, const sc_unsigned &v)
Definition: sc_signed.cc:3451
SC_NOSIGN
#define SC_NOSIGN
Definition: sc_nbdefs.hh:136
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Definition: sc_temporary.hh:182
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Definition: sc_signed.hh:984
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Definition: sc_logic.hh:130
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Definition: sc_nbutils.hh:521
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Definition: scfx_rep.cc:2201
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Bitfield< 7 > i
Definition: misc_types.hh:67
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sc_proxy< X >::value_type xor_reduce(const sc_proxy< X > &a)
Definition: sc_proxy.hh:1402
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static AddrRangeList operator-=(AddrRangeList &base, const AddrRangeList &to_exclude)
Definition: addr_range.hh:774
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int length() const
Definition: sc_signed.hh:1222
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Definition: sc_signed.cc:2674
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@ SC_ON
Definition: sc_fxdefs.hh:146
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int length() const
Definition: sc_unsigned.hh:1126
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void safe_set(int i, bool v, sc_digit *d)
Definition: sc_nbutils.hh:820
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sc_proxy< X >::value_type or_reduce(const sc_proxy< X > &a)
Definition: sc_proxy.hh:1388
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Definition: sc_nbdefs.hh:222
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Definition: sc_nbdefs.hh:231
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Definition: sc_signed.cc:2405
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sc_signed or_signed_friend(small_type us, int unb, int und, const sc_digit *ud, small_type vs, int vnb, int vnd, const sc_digit *vd)
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Definition: sc_report_handler.hh:127
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Bitfield< 1 > aa
Definition: types.hh:78
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uint64_t uint64
Definition: sc_nbdefs.hh:206
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Definition: sc_nbdefs.hh:228
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bool operator>(const sc_uint_base &u, const sc_signed &v)
Definition: sc_signed.cc:1216
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#define BITS_PER_LONG
Definition: sc_nbdefs.hh:218
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Definition: sc_nbdefs.hh:162
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Definition: sc_signed.cc:2127
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Definition: misc_types.hh:54
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Bitfield< 4 > s
Definition: misc_types.hh:562
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sc_signed operator+(const sc_signed &u)
Definition: sc_signed.cc:3485
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#define SC_ZERO
Definition: sc_nbdefs.hh:134
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@ SC_TRN
Definition: sc_fxdefs.hh:98
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@ SC_WRAP
Definition: sc_fxdefs.hh:122
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Bitfield< 5 > l
Definition: pra_constants.hh:323
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Bitfield< 3, 0 > mask
Definition: pcstate.hh:63
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int small_type
Definition: sc_nbdefs.hh:142
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Definition: sc_nbdefs.hh:133
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int64_t int64
Definition: sc_nbdefs.hh:205
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sc_signed xor_signed_friend(small_type us, int unb, int und, const sc_digit *ud, small_type vs, int vnb, int vnd, const sc_digit *vd)
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const T sc_min(const T &a, const T &b)
Definition: functions.hh:59
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Definition: sc_uint_base.hh:465
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Definition: sc_report.hh:60
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int vec_skip_and_cmp(int ulen, const sc_digit *u, int vlen, const sc_digit *v)
Definition: sc_nbutils.hh:390
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Definition: sc_signed.cc:1246
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Definition: sc_fix.hh:100
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Definition: sc_nbutils.hh:300
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Definition: sc_nbdefs.hh:115
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Definition: sc_lv_base.hh:118
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Bitfield< 22 > u
Definition: misc_types.hh:353
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#define CONVERT_INT64(u)
Definition: sc_signed.cc:1264
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sc_dt::from_uint
void from_uint(int ulen, sc_digit *u, Type v)
Definition: sc_nbutils.hh:470
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sc_signed mul_signed_friend(small_type s, int unb, int und, const sc_digit *ud, int vnb, int vnd, const sc_digit *vd)
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sc_proxy< X >::value_type and_reduce(const sc_proxy< X > &a)
Definition: sc_proxy.hh:1374
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X & operator^=(sc_proxy< X > &px, const sc_proxy< Y > &py)
Definition: sc_lv_base.hh:541
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sc_signed and_signed_friend(small_type us, int unb, int und, const sc_digit *ud, small_type vs, int vnb, int vnd, const sc_digit *vd)
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Definition: sc_unsigned.hh:890
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void sc_abort()
Definition: sc_report.cc:178
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Bitfield< 19 > vs
Definition: misc_types.hh:570
gem5::MipsISA::r
r
Definition: pra_constants.hh:98
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const char SC_ID_OUT_OF_BOUNDS_[]
Definition: messages.cc:40
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sc_signed add_signed_friend(small_type us, int unb, int und, const sc_digit *ud, small_type vs, int vnb, int vnd, const sc_digit *vd)
sc_concatref.hh
CONVERT_LONG_2
#define CONVERT_LONG_2(u)
Definition: sc_signed.cc:1251
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void is_bad_double(double v)
Definition: sc_nbutils.hh:855
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void div_by_zero(Type s)
Definition: sc_nbutils.hh:554
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sc_signed mod_signed_friend(small_type us, int unb, int und, const sc_digit *ud, int vnb, int vnd, const sc_digit *vd)
sc_lv_base.hh
BITS_PER_INT64
#define BITS_PER_INT64
Definition: sc_nbdefs.hh:219
BITS_PER_DIGIT
#define BITS_PER_DIGIT
Definition: sc_nbdefs.hh:161
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bool operator>=(const sc_uint_base &u, const sc_signed &v)
Definition: sc_signed.cc:1229
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bool operator<(unsigned long u, const sc_signed &v)
Definition: sc_signed.cc:3848
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Definition: sc_nbdefs.hh:135
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#define DIGIT_MASK
Definition: sc_nbdefs.hh:163
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sc_signed operator-(const sc_unsigned &u)
Definition: sc_signed.cc:3497

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