gem5  v20.1.0.0
sc_unsigned.cc
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20 /*****************************************************************************
21 
22  sc_unsigned.cpp -- Arbitrary precision signed arithmetic.
23 
24  This file includes the definitions of sc_unsigned_bitref,
25  sc_unsigned_subref, and sc_unsigned classes. The first two classes
26  are proxy classes to reference one bit and a range of bits of a
27  sc_unsigned number, respectively. This file also includes
28  sc_nbcommon.cpp and sc_nbfriends.cpp, which contain the
29  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_unsigned.cpp,v $
47 // Revision 1.7 2011/02/18 20:19:15 acg
48 // Andy Goodrich: updating Copyright notice.
49 //
50 // Revision 1.6 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 1.5 2008/06/19 17:47:57 acg
55 // Andy Goodrich: fixes for bugs. See 2.2.1 RELEASENOTES.
56 //
57 // Revision 1.4 2008/06/19 16:57:57 acg
58 // Andy Goodrich: added case for negative unsigned values to the support in
59 // concate_get_data().
60 //
61 // Revision 1.3 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 1.2 2007/02/22 21:35:05 acg
66 // Andy Goodrich: cleaned up comments in concat_get_ctrl and concat_get_data.
67 //
68 // Revision 1.1.1.1 2006/12/15 20:20:05 acg
69 // SystemC 2.3
70 //
71 // Revision 1.4 2006/08/29 23:36:54 acg
72 // Andy Goodrich: fixed and_reduce and optimized or_reduce.
73 //
74 // Revision 1.3 2006/01/13 18:49:32 acg
75 // Added $Log command so that CVS check in comments are reproduced in the
76 // source.
77 //
78 
79 #include <cctype>
80 #include <cmath>
81 #include <sstream>
82 
94 
95 // explicit template instantiations
96 namespace sc_core
97 {
98 
99 template class sc_vpool<sc_dt::sc_unsigned_bitref>;
100 template class sc_vpool<sc_dt::sc_unsigned_subref>;
101 template class sc_vpool<sc_dt::sc_unsigned>;
102 
103 } // namespace sc_core
104 
105 namespace sc_dt
106 {
107 
108 // Pool of temporary instances:
109 // The sc_unsigned pool is used by the concatenation support.
110 // The bit and part reference pools allow references to be returned.
111 
112 sc_core::sc_vpool<sc_unsigned> sc_unsigned::m_pool(8);
113 sc_core::sc_vpool<sc_unsigned_bitref> sc_unsigned_bitref::m_pool(9);
114 sc_core::sc_vpool<sc_unsigned_subref> sc_unsigned_subref::m_pool(9);
115 
116 
117 void
118 sc_unsigned::invalid_init(const char *type_name, int nb) const
119 {
120  std::stringstream msg;
121  msg << "sc_unsigned("<< type_name << ") : nb = " << nb << " is not valid";
122  SC_REPORT_ERROR(sc_core::SC_ID_INIT_FAILED_, msg.str().c_str());
123 }
124 
125 
126 // ----------------------------------------------------------------------------
127 // SECTION: Public members - Invalid selections.
128 // ----------------------------------------------------------------------------
129 
130 void
131 sc_unsigned::invalid_index(int i) const
132 {
133  std::stringstream msg;
134  msg << "sc_biguint bit selection: index = " << i << " violates "
135  "0 <= index <= " << (nbits-2);
137  sc_core::sc_abort(); // can't recover from here
138 }
139 
140 void
141 sc_unsigned::invalid_range(int l, int r) const
142 {
143  std::stringstream msg;
144  msg << "sc_biguint part selection: left = " <<
145  l << ", right = " << r << " \n"
146  " violates either (" << (nbits - 2) << " >= left >= 0) or "
147  "(" << (nbits-2) << " >= right >= 0)";
149  sc_core::sc_abort(); // can't recover from here
150 }
151 
152 // ----------------------------------------------------------------------------
153 // SECTION: Public members - Concatenation support.
154 // ----------------------------------------------------------------------------
155 
156 // Most public members are included from sc_nbcommon.inc. However, some
157 // concatenation support appears here to optimize between the signed and
158 // unsigned cases.
159 
160 
161 
162 // Insert this object's value at the specified place in a vector of big style
163 // values.
164 
165 bool
166 sc_unsigned::concat_get_ctrl(sc_digit *dst_p, int low_i) const
167 {
168  int dst_i; // Index to next word to set in dst_p.
169  int end_i; // Index of high order word to set.
170  int left_shift; // Amount to shift value left.
171  sc_digit mask; // Mask for partial word sets.
172 
173 
174  // CALCULATE METRICS FOR DATA MOVEMENT:
175  dst_i = low_i / BITS_PER_DIGIT;
176  end_i = (low_i + nbits - 2) / BITS_PER_DIGIT;
177  left_shift = low_i % BITS_PER_DIGIT;
178 
179  // MOVE FIRST WORD (IT MAY BE PARTIAL) AND THEN ANY OTHERS:
180  //
181  // We may "clobber" upper bits, but they will be written at some point
182  // anyway.
183 
184  mask = ~(~0U << left_shift);
185  dst_p[dst_i] = (dst_p[dst_i] & ~mask);
186  dst_i++;
187 
188  for (; dst_i <= end_i; dst_i++)
189  dst_p[dst_i] = 0;
190 
191  return false;
192 }
193 
194 bool
195 sc_unsigned::concat_get_data(sc_digit *dst_p, int low_i) const
196 {
197  sc_digit carry; // Carry for negating value.
198  int dst_i; // Index to next word to set in dst_p.
199  int end_i; // Index of high order word to set.
200  int high_i; // Index w/in word of high order bit.
201  int left_shift; // Amount to shift value left.
202  sc_digit left_word; // High word component for set.
203  sc_digit mask; // Mask for partial word sets.
204  bool result; // True if inserting non-zero data.
205  int right_shift; // Amount to shift value right.
206  sc_digit right_word; // Low word component for set.
207  int real_bits; // nbits - 1.
208  int src_i; // Index to next word to get from digit.
209 
210  // CALCULATE METRICS FOR DATA MOVEMENT:
211  real_bits = nbits - 1; // Remove that extra sign bit.
212  dst_i = low_i / BITS_PER_DIGIT;
213  high_i = low_i + real_bits - 1;
214  end_i = high_i / BITS_PER_DIGIT;
215  left_shift = low_i % BITS_PER_DIGIT;
216 
217  switch (sgn) {
218  // POSITIVE SOURCE VALUE:
219  case SC_POS:
220  result = true;
221 
222  // ALL DATA TO BE MOVED IS IN A SINGLE WORD:
223  if (dst_i == end_i) {
224  mask = ~(~0U << left_shift);
225  dst_p[dst_i] = ((dst_p[dst_i] & mask) |
226  (digit[0] << left_shift)) & DIGIT_MASK;
227 
228  // DATA IS IN MORE THAN ONE WORD, BUT IS WORD ALIGNED:
229  } else if (left_shift == 0) {
230  for (src_i = 0; dst_i < end_i; dst_i++, src_i++) {
231  dst_p[dst_i] = digit[src_i];
232  }
233  high_i = high_i % BITS_PER_DIGIT;
234  mask = ~(~1U << high_i) & DIGIT_MASK;
235  dst_p[dst_i] = digit[src_i] & mask;
236 
237  // DATA IS IN MORE THAN ONE WORD, AND NOT WORD ALIGNED:
238  } else {
239  high_i = high_i % BITS_PER_DIGIT;
240  right_shift = BITS_PER_DIGIT - left_shift;
241  mask = ~(~0U << left_shift);
242  right_word = digit[0];
243  dst_p[dst_i] = (dst_p[dst_i] & mask) |
244  ((right_word << left_shift) & DIGIT_MASK);
245  for (src_i = 1, dst_i++; dst_i < end_i; dst_i++, src_i++) {
246  left_word = digit[src_i];
247  dst_p[dst_i] = ((left_word << left_shift) & DIGIT_MASK) |
248  (right_word >> right_shift);
249  right_word = left_word;
250  }
251  left_word = (src_i < ndigits) ? digit[src_i] : 0;
252  mask = ~(~1U << high_i) & DIGIT_MASK;
253  dst_p[dst_i] = ((left_word << left_shift) |
254  (right_word >> right_shift)) & mask;
255  }
256  break;
257 
258  // SOURCE VALUE IS NEGATIVE:
259  case SC_NEG:
260  // ALL DATA TO BE MOVED IS IN A SINGLE WORD:
261  result = true;
262  if (dst_i == end_i) {
263  mask = ~(~0U << nbits);
264  right_word = ((digit[0] ^ DIGIT_MASK) + 1) & mask;
265  mask = ~(~0U << left_shift);
266  dst_p[dst_i] = ((dst_p[dst_i] & mask) |
267  (right_word << left_shift)) & DIGIT_MASK;
268 
269  // DATA IS IN MORE THAN ONE WORD, BUT IS WORD ALIGNED:
270 
271  } else if (left_shift == 0) {
272  carry = 1;
273  for (src_i = 0; dst_i < end_i; dst_i++, src_i++) {
274  right_word = (digit[src_i] ^ DIGIT_MASK) + carry;
275  dst_p[dst_i] = right_word & DIGIT_MASK;
276  carry = right_word >> BITS_PER_DIGIT;
277  }
278  high_i = high_i % BITS_PER_DIGIT;
279  mask = (~(~1U << high_i)) & DIGIT_MASK;
280  right_word = (src_i < ndigits) ?
281  (digit[src_i] ^ DIGIT_MASK) + carry : DIGIT_MASK + carry;
282  dst_p[dst_i] = right_word & mask;
283 
284  // DATA IS IN MORE THAN ONE WORD, AND NOT WORD ALIGNED:
285  } else {
286  high_i = high_i % BITS_PER_DIGIT;
287  right_shift = BITS_PER_DIGIT - left_shift;
288  mask = ~(~0U << left_shift);
289  carry = 1;
290  right_word = (digit[0] ^ DIGIT_MASK) + carry;
291  dst_p[dst_i] = (dst_p[dst_i] & mask) |
292  ((right_word << left_shift) & DIGIT_MASK);
293  carry = right_word >> BITS_PER_DIGIT;
294  right_word &= DIGIT_MASK;
295  for (src_i = 1, dst_i++; dst_i < end_i; dst_i++, src_i++) {
296  left_word = (digit[src_i] ^ DIGIT_MASK) + carry;
297  dst_p[dst_i] = ((left_word << left_shift)&DIGIT_MASK) |
298  (right_word >> right_shift);
299  carry = left_word >> BITS_PER_DIGIT;
300  right_word = left_word & DIGIT_MASK;
301  }
302  left_word = (src_i < ndigits) ?
303  (digit[src_i] ^ DIGIT_MASK) + carry : carry;
304  mask = ~(~1U << high_i) & DIGIT_MASK;
305  dst_p[dst_i] = ((left_word << left_shift) |
306  (right_word >> right_shift)) & mask;
307  }
308  break;
309  // VALUE IS ZERO:
310  default:
311  result = false;
312  // ALL DATA TO BE MOVED IS IN A SINGLE WORD:
313  if (dst_i == end_i) {
314  mask = ~(~0U << real_bits) << left_shift;
315  dst_p[dst_i] = dst_p[dst_i] & ~mask;
316 
317  // DATA IS IN MORE THAN ONE WORD, BUT IS WORD ALIGNED:
318 
319  } else if (left_shift == 0) {
320  for (src_i = 0; dst_i < end_i; dst_i++, src_i++) {
321  dst_p[dst_i] = 0;
322  }
323  dst_p[dst_i] = 0;
324 
325  // DATA IS IN MORE THAN ONE WORD, AND NOT WORD ALIGNED:
326  } else {
327  mask = ~(~0U << left_shift);
328  dst_p[dst_i] = (dst_p[dst_i] & mask);
329  for (dst_i++; dst_i <= end_i; dst_i++) {
330  dst_p[dst_i] = 0;
331  }
332  }
333  break;
334  }
335  return result;
336 }
337 
338 // Return this object instance's bits as a uint64 without sign extension.
339 uint64
340 sc_unsigned::concat_get_uint64() const
341 {
342  uint64 result;
343 
344  switch (sgn) {
345  case SC_POS:
346  result = 0;
347  if (ndigits > 2)
348  result = digit[2];
349  if (ndigits > 1)
350  result = (result << BITS_PER_DIGIT) | digit[1];
351  result = (result << BITS_PER_DIGIT) | digit[0];
352  break;
353  default:
354  result = 0;
355  break;
356  }
357  return result;
358 }
359 
360 // #### OPTIMIZE
361 void
362 sc_unsigned::concat_set(int64 src, int low_i)
363 {
364  *this = (low_i < 64) ? src >> low_i : src >> 63;
365 }
366 
367 void
368 sc_unsigned::concat_set(const sc_signed &src, int low_i)
369 {
370  if (low_i < src.length())
371  *this = src >> low_i;
372  else
373  *this = (src < 0) ? (int_type)-1 : 0;
374 }
375 
376 void
377 sc_unsigned::concat_set(const sc_unsigned &src, int low_i)
378 {
379  if (low_i < src.length())
380  *this = src >> low_i;
381  else
382  *this = 0;
383 }
384 
385 void
386 sc_unsigned::concat_set(uint64 src, int low_i)
387 {
388  *this = (low_i < 64) ? src >> low_i : 0;
389 }
390 
391 
392 // ----------------------------------------------------------------------------
393 // SECTION: Public members - Reduction methods.
394 // ----------------------------------------------------------------------------
395 
396 bool
398 {
399  int i; // Digit examining.
400 
401  if (sgn == SC_ZERO)
402  return false;
403  for (i = 0; i < ndigits - 1; i++)
404  if ((digit[i] & DIGIT_MASK) != DIGIT_MASK)
405  return false;
406  if ((digit[i] & ~(~0U << ((nbits - 1) % BITS_PER_DIGIT))) ==
407  static_cast<sc_digit>(~(~0U << ((nbits - 1) % BITS_PER_DIGIT)))) {
408  return true;
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 - 1; i++)
427  if (test(i))
428  odd = ~odd;
429  return odd ? true : false;
430 }
431 
432 
433 // ----------------------------------------------------------------------------
434 // SECTION: Public members - Assignment operators.
435 // ----------------------------------------------------------------------------
436 
437 // assignment operators
438 const sc_unsigned &
439 sc_unsigned::operator = (const char *a)
440 {
441  if (a == 0) {
443  "character string is zero");
444  } else if (*a == 0) {
446  "character string is empty");
447  } else try {
448  int len = length();
449  sc_ufix aa(a, len, len, SC_TRN, SC_WRAP, 0, SC_ON);
450  return this->operator = (aa);
451  } catch(const sc_core::sc_report &) {
452  std::stringstream msg;
453  msg << "character string '" << a << "' is not valid";
455  }
456  return *this;
457 }
458 
459 const sc_unsigned &
460 sc_unsigned::operator = (int64 v)
461 {
462  sgn = get_sign(v);
463  if (sgn == SC_ZERO) {
464  vec_zero(ndigits, digit);
465  } else {
466  from_uint(ndigits, digit, (uint64) v);
467  convert_SM_to_2C_to_SM();
468  }
469  return *this;
470 }
471 
472 const sc_unsigned &
473 sc_unsigned::operator = (uint64 v)
474 {
475  if (v == 0) {
476  sgn = SC_ZERO;
477  vec_zero(ndigits, digit);
478  } else {
479  sgn = SC_POS;
480  from_uint(ndigits, digit, v);
481  convert_SM_to_2C_to_SM();
482  }
483  return *this;
484 }
485 
486 const sc_unsigned &
487 sc_unsigned::operator = (long v)
488 {
489  sgn = get_sign(v);
490  if (sgn == SC_ZERO) {
491  vec_zero(ndigits, digit);
492  } else {
493  from_uint(ndigits, digit, (unsigned long)v);
494  convert_SM_to_2C_to_SM();
495  }
496  return *this;
497 }
498 
499 const sc_unsigned &
500 sc_unsigned::operator = (unsigned long v)
501 {
502  if (v == 0) {
503  sgn = SC_ZERO;
504  vec_zero(ndigits, digit);
505  } else {
506  sgn = SC_POS;
507  from_uint(ndigits, digit, v);
508  convert_SM_to_2C_to_SM();
509  }
510  return *this;
511 }
512 
513 const sc_unsigned &
514 sc_unsigned::operator = (double v)
515 {
516  is_bad_double(v);
517  sgn = SC_POS;
518  int i = 0;
519  while (std::floor(v) && (i < ndigits)) {
520  digit[i++] = ((sc_digit)std::floor(remainder(v, DIGIT_RADIX))) &
521  DIGIT_MASK;
522  v /= DIGIT_RADIX;
523  }
524  vec_zero(i, ndigits, digit);
525  convert_SM_to_2C_to_SM();
526  return *this;
527 }
528 
529 
530 // ----------------------------------------------------------------------------
531 
532 const sc_unsigned &
533 sc_unsigned::operator = (const sc_bv_base &v)
534 {
535  int minlen = sc_min(nbits, v.length());
536  int i = 0;
537  for (; i < minlen; ++i) {
538  safe_set(i, v.get_bit(i), digit);
539  }
540  for (; i < nbits; ++i) {
541  safe_set(i, 0, digit); // zero-extend
542  }
543  convert_2C_to_SM();
544  return *this;
545 }
546 
547 const sc_unsigned &
548 sc_unsigned::operator = (const sc_lv_base &v)
549 {
550  int minlen = sc_min(nbits, v.length());
551  int i = 0;
552  for (; i < minlen; ++i) {
553  safe_set(i, sc_logic(v.get_bit(i)).to_bool(), digit);
554  }
555  for (; i < nbits; ++i) {
556  safe_set(i, 0, digit); // zero-extend
557  }
558  convert_2C_to_SM();
559  return *this;
560 }
561 
562 
563 // explicit conversion to character string
564 const std::string
566 {
567  int len = length();
568  sc_ufix aa(*this, len, len, SC_TRN, SC_WRAP, 0, SC_ON);
569  return aa.to_string(numrep);
570 }
571 
572 const std::string
573 sc_unsigned::to_string(sc_numrep numrep, bool w_prefix) const
574 {
575  int len = length();
576  sc_ufix aa(*this, len, len, SC_TRN, SC_WRAP, 0, SC_ON);
577  return aa.to_string(numrep, w_prefix);
578 }
579 
580 
581 // ----------------------------------------------------------------------------
582 // SECTION: Interfacing with sc_int_base
583 // ----------------------------------------------------------------------------
584 
585 const sc_unsigned &
586 sc_unsigned::operator = (const sc_int_base &v)
587 {
588  return operator = ((int64)v);
589 }
590 
591 const sc_unsigned &
592 sc_unsigned::operator += (const sc_int_base &v)
593 {
594  return operator += ((int64)v);
595 }
596 
597 const sc_unsigned &
598 sc_unsigned::operator -= (const sc_int_base &v)
599 {
600  return operator -= ((int64)v);
601 }
602 
603 const sc_unsigned &
604 sc_unsigned::operator *= (const sc_int_base &v)
605 {
606  return operator *= ((int64)v);
607 }
608 
609 const sc_unsigned &
610 sc_unsigned::operator /= (const sc_int_base &v)
611 {
612  return operator /= ((int64)v);
613 }
614 
615 const sc_unsigned &
616 sc_unsigned::operator %= (const sc_int_base &v)
617 {
618  return operator %= ((int64)v);
619 }
620 
621 const sc_unsigned &
623 {
624  return operator &= ((int64)v);
625 }
626 
627 const sc_unsigned &
629 {
630  return operator |= ((int64)v);
631 }
632 
633 const sc_unsigned &
635 {
636  return operator ^= ((int64)v);
637 }
638 
641 {
642  return operator << (u, (int64)v);
643 }
644 const sc_unsigned &
645 sc_unsigned::operator <<= (const sc_int_base &v)
646 {
647  return operator <<= ((int64)v);
648 }
649 
652 {
653  return operator >> (u, (int64)v);
654 }
655 const sc_unsigned &
656 sc_unsigned::operator >>= (const sc_int_base& v)
657 {
658  return operator >>= ((int64)v);
659 }
660 
661 bool
663 {
664  return operator == (u, (int64)v);
665 }
666 bool
668 {
669  return operator == ((int64)u, v);
670 }
671 
672 bool
674 {
675  return operator != (u, (int64)v);
676 }
677 bool
679 {
680  return operator != ((int64)u, v);
681 }
682 
683 bool
685 {
686  return operator < (u, (int64)v);
687 }
688 bool
690 {
691  return operator < ((int64)u, v);
692 }
693 
694 bool
696 {
697  return operator <= (u, (int64)v);
698 }
699 bool
701 {
702  return operator <= ((int64)u, v);
703 }
704 
705 bool
707 {
708  return operator > (u, (int64)v);
709 }
710 bool
712 {
713  return operator > ((int64)u, v);
714 }
715 
716 bool
718 {
719  return operator >= (u, (int64)v);
720 }
721 bool
723 {
724  return operator >= ((int64)u, v);
725 }
726 
727 
728 // ----------------------------------------------------------------------------
729 // SECTION: Interfacing with sc_uint_base
730 // ----------------------------------------------------------------------------
731 
732 const sc_unsigned &
733 sc_unsigned::operator = (const sc_uint_base &v)
734 {
735  return operator = ((uint64)v);
736 }
737 
740 {
741  return operator + (u, (uint64)v);
742 }
743 sc_unsigned
745 {
746  return operator + ((uint64)u, v);
747 }
748 const sc_unsigned &
749 sc_unsigned::operator += (const sc_uint_base &v)
750 {
751  return operator += ((uint64)v);
752 }
753 
754 const sc_unsigned &
755 sc_unsigned::operator -= (const sc_uint_base &v)
756 {
757  return operator -= ((uint64)v);
758 }
759 
762 {
763  return operator * (u, (uint64)v);
764 }
765 sc_unsigned
767 {
768  return operator * ((uint64)u, v);
769 }
770 const sc_unsigned &
771 sc_unsigned::operator *= (const sc_uint_base &v)
772 {
773  return operator *= ((uint64)v);
774 }
775 
778 {
779  return operator / (u, (uint64)v);
780 }
781 sc_unsigned
783 {
784  return operator / ((uint64)u, v);
785 }
786 const sc_unsigned &
787 sc_unsigned::operator /= (const sc_uint_base &v)
788 {
789  return operator /= ((uint64)v);
790 }
791 
794 {
795  return operator % (u, (uint64)v);
796 }
797 sc_unsigned
799 {
800  return operator % ((uint64)u, v);
801 }
802 const sc_unsigned &
803 sc_unsigned::operator %= (const sc_uint_base &v)
804 {
805  return operator %= ((uint64)v);
806 }
807 
810 {
811  return operator & (u, (uint64)v);
812 }
813 sc_unsigned
815 {
816  return operator & ((uint64)u, v);
817 }
818 const sc_unsigned &
820 {
821  return operator &= ((uint64)v);
822 }
823 
826 {
827  return operator | (u, (uint64)v);
828 }
829 sc_unsigned
831 {
832  return operator | ((uint64)u, v);
833 }
834 const sc_unsigned &
836 {
837  return operator |= ((uint64)v);
838 }
839 
842 {
843  return operator ^ (u, (uint64)v);
844 }
845 sc_unsigned
847 {
848  return operator ^ ((uint64)u, v);
849 }
850 const sc_unsigned &
852 {
853  return operator ^= ((uint64)v);
854 }
855 
858 {
859  return operator << (u, (uint64)v);
860 }
861 const sc_unsigned &
862 sc_unsigned::operator <<= (const sc_uint_base &v)
863 {
864  return operator <<= ((uint64)v);
865 }
866 
869 {
870  return operator >> (u, (uint64)v);
871 }
872 const sc_unsigned &
873 sc_unsigned::operator >>= (const sc_uint_base &v)
874 {
875  return operator >>= ((uint64)v);
876 }
877 
878 bool
880 {
881  return operator == (u, (uint64)v);
882 }
883 bool
885 {
886  return operator == ((uint64)u, v);
887 }
888 
889 bool
891 {
892  return operator != (u, (uint64)v);
893 }
894 bool
896 {
897  return operator != ((uint64)u, v);
898 }
899 
900 bool
902 {
903  return operator < (u, (uint64)v);
904 }
905 bool
907 {
908  return operator < ((uint64)u, v);
909 }
910 
911 bool
913 {
914  return operator <= (u, (uint64)v);
915 }
916 bool
918 {
919  return operator <= ((uint64)u, v);
920 }
921 
922 bool
924 {
925  return operator > (u, (uint64)v);
926 }
927 bool
929 {
930  return operator > ((uint64)u, v);
931 }
932 
933 bool
935 {
936  return operator >= (u, (uint64)v);
937 }
938 bool
940 {
941  return operator >= ((uint64)u, v);
942 }
943 
944 
945 // ----------------------------------------------------------------------------
946 // SECTION: Input and output operators
947 // ----------------------------------------------------------------------------
948 
949 // The operators in this section are included from sc_nbcommon.cpp.
950 
951 
952 // ----------------------------------------------------------------------------
953 // SECTION: Operator macros.
954 // ----------------------------------------------------------------------------
955 
956 #define CONVERT_LONG(u) \
957 small_type u ## s = get_sign(u); \
958 sc_digit u ## d[DIGITS_PER_ULONG]; \
959 from_uint(DIGITS_PER_ULONG, u ## d, (unsigned long) u);
960 
961 #define CONVERT_LONG_2(u) \
962 sc_digit u ## d[DIGITS_PER_ULONG]; \
963 from_uint(DIGITS_PER_ULONG, u ## d, (unsigned long) u);
964 
965 #define CONVERT_INT(u) \
966 small_type u ## s = get_sign(u); \
967 sc_digit u ## d[DIGITS_PER_UINT]; \
968 from_uint(DIGITS_PER_UINT, u ## d, (unsigned int) u);
969 
970 #define CONVERT_INT_2(u) \
971 sc_digit u ## d[DIGITS_PER_UINT]; \
972 from_uint(DIGITS_PER_UINT, u ## d, (unsigned int) u);
973 
974 #define CONVERT_INT64(u) \
975 small_type u ## s = get_sign(u); \
976 sc_digit u ## d[DIGITS_PER_UINT64]; \
977 from_uint(DIGITS_PER_UINT64, u ## d, (uint64) u);
978 
979 #define CONVERT_INT64_2(u) \
980 sc_digit u ## d[DIGITS_PER_UINT64]; \
981 from_uint(DIGITS_PER_UINT64, u ## d, (uint64) u);
982 
983 
984 // ----------------------------------------------------------------------------
985 // SECTION: PLUS operators: +, +=, ++
986 // ----------------------------------------------------------------------------
987 
988 // Cases to consider when computing u + v:
989 // 1. 0 + v = v
990 // 2. u + 0 = u
991 // 3. if sgn(u) == sgn(v)
992 // 3.1 u + v = +(u + v) = sgn(u) * (u + v)
993 // 3.2 (-u) + (-v) = -(u + v) = sgn(u) * (u + v)
994 // 4. if sgn(u) != sgn(v)
995 // 4.1 u + (-v) = u - v = sgn(u) * (u - v)
996 // 4.2 (-u) + v = -(u - v) ==> sgn(u) * (u - v)
997 //
998 // Specialization of above cases for computing ++u or u++:
999 // 1. 0 + 1 = 1
1000 // 3. u + 1 = u + 1 = sgn(u) * (u + 1)
1001 // 4. (-u) + 1 = -(u - 1) = sgn(u) * (u - 1)
1002 
1003 sc_unsigned
1005 {
1006  if (u.sgn == SC_ZERO) // case 1
1007  return sc_unsigned(v);
1008 
1009  if (v.sgn == SC_ZERO) // case 2
1010  return sc_unsigned(u);
1011 
1012  // cases 3 and 4
1013  return add_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1014  v.sgn, v.nbits, v.ndigits, v.digit);
1015 }
1016 
1017 
1018 sc_unsigned
1020 {
1021  if (v == 0) // case 2
1022  return sc_unsigned(u);
1023 
1024  CONVERT_INT64(v);
1025 
1026  if (u.sgn == SC_ZERO) // case 1
1027  return sc_unsigned(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
1028 
1029  // cases 3 and 4
1030  return add_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1032 }
1033 
1034 
1035 sc_unsigned
1037 {
1038  if (u == 0) // case 1
1039  return sc_unsigned(v);
1040 
1041  CONVERT_INT64(u);
1042 
1043  if (v.sgn == SC_ZERO) // case 2
1044  return sc_unsigned(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
1045 
1046  // cases 3 and 4
1048  v.sgn, v.nbits, v.ndigits, v.digit);
1049 }
1050 
1051 
1052 sc_unsigned
1053 operator + (const sc_unsigned &u, unsigned long v)
1054 {
1055  if (v == 0) // case 2
1056  return sc_unsigned(u);
1057 
1058  CONVERT_LONG(v);
1059 
1060  if (u.sgn == SC_ZERO) // case 1
1061  return sc_unsigned(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
1062 
1063  // cases 3 and 4
1064  return add_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1066 }
1067 
1068 
1069 sc_unsigned
1070 operator + (unsigned long u, const sc_unsigned &v)
1071 {
1072  if (u == 0) // case 1
1073  return sc_unsigned(v);
1074 
1075  CONVERT_LONG(u);
1076 
1077  if (v.sgn == SC_ZERO) // case 2
1078  return sc_unsigned(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
1079 
1080  // cases 3 and 4
1082  v.sgn, v.nbits, v.ndigits, v.digit);
1083 }
1084 
1085 // The rest of the operators in this section are included from
1086 // sc_nbcommon.cpp.
1087 
1088 
1089 // ----------------------------------------------------------------------------
1090 // SECTION: MINUS operators: -, -=, --
1091 // ----------------------------------------------------------------------------
1092 
1093 // Cases to consider when computing u + v:
1094 // 1. u - 0 = u
1095 // 2. 0 - v = -v
1096 // 3. if sgn(u) != sgn(v)
1097 // 3.1 u - (-v) = u + v = sgn(u) * (u + v)
1098 // 3.2 (-u) - v = -(u + v) ==> sgn(u) * (u + v)
1099 // 4. if sgn(u) == sgn(v)
1100 // 4.1 u - v = +(u - v) = sgn(u) * (u - v)
1101 // 4.2 (-u) - (-v) = -(u - v) = sgn(u) * (u - v)
1102 //
1103 // Specialization of above cases for computing --u or u--:
1104 // 1. 0 - 1 = -1
1105 // 3. (-u) - 1 = -(u + 1) = sgn(u) * (u + 1)
1106 // 4. u - 1 = u - 1 = sgn(u) * (u - 1)
1107 
1108 // The operators in this section are included from sc_nbcommon.cpp.
1109 
1110 
1111 // ----------------------------------------------------------------------------
1112 // SECTION: MULTIPLICATION operators: *, *=
1113 // ----------------------------------------------------------------------------
1114 
1115 // Cases to consider when computing u * v:
1116 // 1. u * 0 = 0 * v = 0
1117 // 2. 1 * v = v and -1 * v = -v
1118 // 3. u * 1 = u and u * -1 = -u
1119 // 4. u * v = u * v
1120 
1121 sc_unsigned
1123 {
1124  small_type s = mul_signs(u.sgn, v.sgn);
1125 
1126  if (s == SC_ZERO) // case 1
1127  return sc_unsigned();
1128 
1129  // cases 2-4
1130  return mul_unsigned_friend(s, u.nbits, u.ndigits, u.digit,
1131  v.nbits, v.ndigits, v.digit);
1132 }
1133 
1134 
1135 sc_unsigned
1137 {
1138  small_type s = mul_signs(u.sgn, get_sign(v));
1139 
1140  if (s == SC_ZERO) // case 1
1141  return sc_unsigned();
1142 
1143  CONVERT_INT64_2(v);
1144 
1145  // cases 2-4
1146  return mul_unsigned_friend(s, u.nbits, u.ndigits, u.digit,
1148 }
1149 
1150 
1151 sc_unsigned
1153 {
1154  small_type s = mul_signs(v.sgn, get_sign(u));
1155 
1156  if (s == SC_ZERO) // case 1
1157  return sc_unsigned();
1158 
1159  CONVERT_INT64_2(u);
1160 
1161  // cases 2-4
1163  v.nbits, v.ndigits, v.digit);
1164 }
1165 
1166 
1167 sc_unsigned
1168 operator * (const sc_unsigned &u, unsigned long v)
1169 {
1170  small_type s = mul_signs(u.sgn, get_sign(v));
1171 
1172  if (s == SC_ZERO) // case 1
1173  return sc_unsigned();
1174 
1175  CONVERT_LONG_2(v);
1176 
1177  // else cases 2-4
1178  return mul_unsigned_friend(s, u.nbits, u.ndigits, u.digit,
1180 }
1181 
1182 sc_unsigned
1183 operator * (unsigned long u, const sc_unsigned &v)
1184 {
1185  small_type s = mul_signs(v.sgn, get_sign(u));
1186 
1187  if (s == SC_ZERO) // case 1
1188  return sc_unsigned();
1189 
1190  CONVERT_LONG_2(u);
1191 
1192  // cases 2-4
1194  v.nbits, v.ndigits, v.digit);
1195 }
1196 
1197 // The rest of the operators in this section are included from
1198 // sc_nbcommon.cpp.
1199 
1200 
1201 // ----------------------------------------------------------------------------
1202 // SECTION: DIVISION operators: /, /=
1203 // ----------------------------------------------------------------------------
1204 
1205 // Cases to consider when finding the quotient q = floor(u/v):
1206 // Note that u = q * v + r for r < q.
1207 // 1. 0 / 0 or u / 0 => error
1208 // 2. 0 / v => 0 = 0 * v + 0
1209 // 3. u / v & &u = v => u = 1 * u + 0 - u or v can be 1 or -1
1210 // 4. u / v & &u < v => u = 0 * v + u - u can be 1 or -1
1211 // 5. u / v & &u > v => u = q * v + r - v can be 1 or -1
1212 
1213 sc_unsigned
1215 {
1216  small_type s = mul_signs(u.sgn, v.sgn);
1217 
1218  if (s == SC_ZERO) {
1219  div_by_zero(v.sgn); // case 1
1220  return sc_unsigned(); // case 2
1221  }
1222 
1223  // other cases
1224  return div_unsigned_friend(s, u.nbits, u.ndigits, u.digit,
1225  v.nbits, v.ndigits, v.digit);
1226 }
1227 
1228 
1229 sc_unsigned
1231 {
1232  small_type s = mul_signs(u.sgn, get_sign(v));
1233 
1234  if (s == SC_ZERO) {
1235  div_by_zero(v); // case 1
1236  return sc_unsigned(); // case 2
1237  }
1238 
1239  CONVERT_INT64_2(v);
1240 
1241  // other cases
1242  return div_unsigned_friend(s, u.nbits, u.ndigits, u.digit,
1244 }
1245 
1246 
1247 sc_unsigned
1249 {
1250  small_type s = mul_signs(v.sgn, get_sign(u));
1251 
1252  if (s == SC_ZERO) {
1253  div_by_zero(v.sgn); // case 1
1254  return sc_unsigned(); // case 2
1255 
1256  }
1257 
1258  CONVERT_INT64_2(u);
1259 
1260  // other cases
1262  v.nbits, v.ndigits, v.digit);
1263 }
1264 
1265 
1266 sc_unsigned
1267 operator / (const sc_unsigned &u, unsigned long v)
1268 {
1269  small_type s = mul_signs(u.sgn, get_sign(v));
1270 
1271  if (s == SC_ZERO) {
1272  div_by_zero(v); // case 1
1273  return sc_unsigned(); // case 2
1274  }
1275 
1276  CONVERT_LONG_2(v);
1277 
1278  // other cases
1279  return div_unsigned_friend(s, u.nbits, u.ndigits, u.digit,
1281 }
1282 
1283 
1284 sc_unsigned
1285 operator / (unsigned long u, const sc_unsigned &v)
1286 {
1287  small_type s = mul_signs(v.sgn, get_sign(u));
1288 
1289  if (s == SC_ZERO) {
1290  div_by_zero(v.sgn); // case 1
1291  return sc_unsigned(); // case 2
1292 
1293  }
1294 
1295  CONVERT_LONG_2(u);
1296 
1297  // other cases
1299  v.nbits, v.ndigits, v.digit);
1300 }
1301 
1302 // The rest of the operators in this section are included from
1303 // sc_nbcommon.cpp.
1304 
1305 
1306 // ----------------------------------------------------------------------------
1307 // SECTION: MOD operators: %, %=.
1308 // ----------------------------------------------------------------------------
1309 
1310 // Cases to consider when finding the remainder r = u % v:
1311 // Note that u = q * v + r for r < q.
1312 // 1. 0 % 0 or u % 0 => error
1313 // 2. 0 % v => 0 = 0 * v + 0
1314 // 3. u % v & &u = v => u = 1 * u + 0 - u or v can be 1 or -1
1315 // 4. u % v & &u < v => u = 0 * v + u - u can be 1 or -1
1316 // 5. u % v & &u > v => u = q * v + r - v can be 1 or -1
1317 
1318 sc_unsigned
1320 {
1321  if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) {
1322  div_by_zero(v.sgn); // case 1
1323  return sc_unsigned(); // case 2
1324  }
1325 
1326  // other cases
1327  return mod_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1328  v.nbits, v.ndigits, v.digit);
1329 }
1330 
1331 
1332 sc_unsigned
1334 {
1335  if ((u.sgn == SC_ZERO) || (v == 0)) {
1336  div_by_zero(v); // case 1
1337  return sc_unsigned(); // case 2
1338  }
1339 
1340  CONVERT_INT64_2(v);
1341 
1342  // other cases
1343  return mod_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1345 
1346 }
1347 
1348 
1349 sc_unsigned
1351 {
1352  if ((u == 0) || (v.sgn == SC_ZERO)) {
1353  div_by_zero(v.sgn); // case 1
1354  return sc_unsigned(); // case 2
1355  }
1356 
1357  CONVERT_INT64(u);
1358 
1359  // other cases
1361  v.nbits, v.ndigits, v.digit);
1362 }
1363 
1364 
1365 sc_unsigned
1366 operator % (const sc_unsigned &u, unsigned long v)
1367 {
1368  if ((u.sgn == SC_ZERO) || (v == 0)) {
1369  div_by_zero(v); // case 1
1370  return sc_unsigned(); // case 2
1371  }
1372 
1373  CONVERT_LONG_2(v);
1374 
1375  // other cases
1376  return mod_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1378 }
1379 
1380 
1381 sc_unsigned
1382 operator % (unsigned long u, const sc_unsigned &v)
1383 {
1384  if ((u == 0) || (v.sgn == SC_ZERO)) {
1385  div_by_zero(v.sgn); // case 1
1386  return sc_unsigned(); // case 2
1387  }
1388 
1389  CONVERT_LONG(u);
1390 
1391  // other cases
1393  v.nbits, v.ndigits, v.digit);
1394 }
1395 
1396 // The rest of the operators in this section are included from
1397 // sc_nbcommon.cpp.
1398 
1399 
1400 // ----------------------------------------------------------------------------
1401 // SECTION: Bitwise AND operators: &, &=
1402 // ----------------------------------------------------------------------------
1403 
1404 // Cases to consider when computing u &v:
1405 // 1. u & 0 = 0 &v = 0
1406 // 2. u &v => sgn = +
1407 // 3. (-u) & (-v) => sgn = -
1408 // 4. u & (-v) => sgn = +
1409 // 5. (-u) &v => sgn = +
1410 
1411 sc_unsigned
1413 {
1414  if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) // case 1
1415  return sc_unsigned();
1416 
1417  // other cases
1418  return and_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1419  v.sgn, v.nbits, v.ndigits, v.digit);
1420 }
1421 
1422 
1423 sc_unsigned
1425 {
1426  if ((u.sgn == SC_ZERO) || (v == 0)) // case 1
1427  return sc_unsigned();
1428 
1429  CONVERT_INT64(v);
1430 
1431  // other cases
1432  return and_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1434 }
1435 
1436 
1437 sc_unsigned
1439 {
1440  if ((u == 0) || (v.sgn == SC_ZERO)) // case 1
1441  return sc_unsigned();
1442 
1443  CONVERT_INT64(u);
1444 
1445  // other cases
1447  v.sgn, v.nbits, v.ndigits, v.digit);
1448 }
1449 
1450 
1451 sc_unsigned
1452 operator & (const sc_unsigned &u, unsigned long v)
1453 {
1454  if ((u.sgn == SC_ZERO) || (v == 0)) // case 1
1455  return sc_unsigned();
1456 
1457  CONVERT_LONG(v);
1458 
1459  // other cases
1460  return and_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1462 }
1463 
1464 
1465 sc_unsigned
1466 operator & (unsigned long u, const sc_unsigned &v)
1467 {
1468  if ((u == 0) || (v.sgn == SC_ZERO)) // case 1
1469  return sc_unsigned();
1470 
1471  CONVERT_LONG(u);
1472 
1473  // other cases
1475  v.sgn, v.nbits, v.ndigits, v.digit);
1476 }
1477 
1478 // The rest of the operators in this section are included from
1479 // sc_nbcommon.cpp.
1480 
1481 
1482 // ----------------------------------------------------------------------------
1483 // SECTION: Bitwise OR operators: |, |=
1484 // ----------------------------------------------------------------------------
1485 
1486 // Cases to consider when computing u | v:
1487 // 1. u | 0 = u
1488 // 2. 0 | v = v
1489 // 3. u | v => sgn = +
1490 // 4. (-u) | (-v) => sgn = -
1491 // 5. u | (-v) => sgn = -
1492 // 6. (-u) | v => sgn = -
1493 
1494 sc_unsigned
1496 {
1497  if (v.sgn == SC_ZERO) // case 1
1498  return sc_unsigned(u);
1499 
1500  if (u.sgn == SC_ZERO) // case 2
1501  return sc_unsigned(v);
1502 
1503  // other cases
1504  return or_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1505  v.sgn, v.nbits, v.ndigits, v.digit);
1506 }
1507 
1508 
1509 sc_unsigned
1511 {
1512  if (v == 0) // case 1
1513  return sc_unsigned(u);
1514 
1515  CONVERT_INT64(v);
1516 
1517  if (u.sgn == SC_ZERO) // case 2
1518  return sc_unsigned(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
1519 
1520  // other cases
1521  return or_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1523 }
1524 
1525 
1526 sc_unsigned
1528 {
1529  if (u == 0)
1530  return sc_unsigned(v);
1531 
1532  CONVERT_INT64(u);
1533 
1534  if (v.sgn == SC_ZERO)
1535  return sc_unsigned(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
1536 
1537  // other cases
1539  v.sgn, v.nbits, v.ndigits, v.digit);
1540 }
1541 
1542 
1543 sc_unsigned
1544 operator | (const sc_unsigned &u, unsigned long v)
1545 {
1546  if (v == 0) // case 1
1547  return sc_unsigned(u);
1548 
1549  CONVERT_LONG(v);
1550 
1551  if (u.sgn == SC_ZERO) // case 2
1552  return sc_unsigned(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
1553 
1554  // other cases
1555  return or_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1557 }
1558 
1559 
1560 sc_unsigned
1561 operator | (unsigned long u, const sc_unsigned &v)
1562 {
1563  if (u == 0)
1564  return sc_unsigned(v);
1565 
1566  CONVERT_LONG(u);
1567 
1568  if (v.sgn == SC_ZERO)
1569  return sc_unsigned(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
1570 
1571  // other cases
1573  v.sgn, v.nbits, v.ndigits, v.digit);
1574 }
1575 
1576 // The rest of the operators in this section are included from
1577 // sc_nbcommon.cpp.
1578 
1579 
1580 // ----------------------------------------------------------------------------
1581 // SECTION: Bitwise XOR operators: ^, ^=
1582 // ----------------------------------------------------------------------------
1583 
1584 // Cases to consider when computing u ^ v:
1585 // Note that u ^ v = (~u &v) | (u & ~v).
1586 // 1. u ^ 0 = u
1587 // 2. 0 ^ v = v
1588 // 3. u ^ v => sgn = +
1589 // 4. (-u) ^ (-v) => sgn = -
1590 // 5. u ^ (-v) => sgn = -
1591 // 6. (-u) ^ v => sgn = +
1592 
1593 sc_unsigned
1595 {
1596  if (v.sgn == SC_ZERO) // case 1
1597  return sc_unsigned(u);
1598 
1599  if (u.sgn == SC_ZERO) // case 2
1600  return sc_unsigned(v);
1601 
1602  // other cases
1603  return xor_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1604  v.sgn, v.nbits, v.ndigits, v.digit);
1605 }
1606 
1607 
1608 sc_unsigned
1610 {
1611  if (v == 0) // case 1
1612  return sc_unsigned(u);
1613 
1614  CONVERT_INT64(v);
1615 
1616  if (u.sgn == SC_ZERO) // case 2
1617  return sc_unsigned(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false);
1618 
1619  // other cases
1620  return xor_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1622 }
1623 
1624 sc_unsigned
1626 {
1627  if (u == 0)
1628  return sc_unsigned(v);
1629 
1630  CONVERT_INT64(u);
1631 
1632  if (v.sgn == SC_ZERO)
1633  return sc_unsigned(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false);
1634 
1635  // other cases
1637  v.sgn, v.nbits, v.ndigits, v.digit);
1638 }
1639 
1640 
1641 sc_unsigned
1642 operator ^ (const sc_unsigned &u, unsigned long v)
1643 {
1644  if (v == 0) // case 1
1645  return sc_unsigned(u);
1646 
1647  CONVERT_LONG(v);
1648 
1649  if (u.sgn == SC_ZERO) // case 2
1650  return sc_unsigned(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false);
1651 
1652  // other cases
1653  return xor_unsigned_friend(u.sgn, u.nbits, u.ndigits, u.digit,
1655 }
1656 
1657 sc_unsigned
1658 operator ^ (unsigned long u, const sc_unsigned &v)
1659 {
1660  if (u == 0)
1661  return sc_unsigned(v);
1662 
1663  CONVERT_LONG(u);
1664 
1665  if (v.sgn == SC_ZERO)
1666  return sc_unsigned(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false);
1667 
1668  // other cases
1670  v.sgn, v.nbits, v.ndigits, v.digit);
1671 }
1672 
1673 // The rest of the operators in this section are included from
1674 // sc_nbcommon.cpp.
1675 
1676 
1677 // ----------------------------------------------------------------------------
1678 // SECTION: Bitwise NOT operator: ~
1679 // ----------------------------------------------------------------------------
1680 
1681 // Operators in this section are included from sc_nbcommon.cpp.
1682 
1683 
1684 // ----------------------------------------------------------------------------
1685 // SECTION: LEFT SHIFT operators: <<, <<=
1686 // ----------------------------------------------------------------------------
1687 
1688 sc_unsigned
1690 {
1691  if ((v.sgn == SC_ZERO) || (v.sgn == SC_NEG))
1692  return sc_unsigned(u);
1693 
1694  return operator << (u, v.to_ulong());
1695 }
1696 
1697 // The rest of the operators in this section are included from
1698 // sc_nbcommon.cpp.
1699 
1700 
1701 // ----------------------------------------------------------------------------
1702 // SECTION: RIGHT SHIFT operators: >>, >>=
1703 // ----------------------------------------------------------------------------
1704 
1705 sc_unsigned
1707 {
1708 
1709  if ((v.sgn == SC_ZERO) || (v.sgn == SC_NEG))
1710  return sc_unsigned(u);
1711 
1712  return operator >> (u, v.to_long());
1713 
1714 }
1715 
1716 // The rest of the operators in this section are included from
1717 // sc_nbcommon.cpp.
1718 
1719 
1720 // ----------------------------------------------------------------------------
1721 // SECTION: Unary arithmetic operators.
1722 // ----------------------------------------------------------------------------
1723 
1724 sc_unsigned
1726 {
1727  return sc_unsigned(u);
1728 }
1729 
1730 
1731 // ----------------------------------------------------------------------------
1732 // SECTION: EQUAL operator: ==
1733 // ----------------------------------------------------------------------------
1734 
1735 bool
1737 {
1738  if (&u == &v)
1739  return true;
1740  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1741  v.sgn, v.nbits, v.ndigits, v.digit) != 0) {
1742  return false;
1743  }
1744  return true;
1745 }
1746 
1747 
1748 bool
1750 {
1751  if (v.sgn == SC_NEG)
1752  return false;
1753  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1754  v.sgn, v.nbits, v.ndigits, v.digit, 0, 1) != 0) {
1755  return false;
1756  }
1757  return true;
1758 }
1759 
1760 
1761 bool
1763 {
1764  if (u.sgn == SC_NEG)
1765  return false;
1766  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1767  v.sgn, v.nbits, v.ndigits, v.digit, 1, 0) != 0) {
1768  return false;
1769  }
1770  return true;
1771 }
1772 
1773 
1774 bool
1776 {
1777  if (v < 0)
1778  return false;
1779  CONVERT_INT64(v);
1780  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1781  vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd) != 0) {
1782  return false;
1783  }
1784  return true;
1785 }
1786 
1787 
1788 bool
1790 {
1791  if (u < 0)
1792  return false;
1793  CONVERT_INT64(u);
1795  v.sgn, v.nbits, v.ndigits, v.digit) != 0) {
1796  return false;
1797  }
1798  return true;
1799 }
1800 
1801 
1802 bool
1804 {
1805  CONVERT_INT64(v);
1806  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1807  vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd) != 0)
1808  return false;
1809  return true;
1810 }
1811 
1812 
1813 bool
1815 {
1816  CONVERT_INT64(u);
1818  v.sgn, v.nbits, v.ndigits, v.digit) != 0)
1819  return false;
1820  return true;
1821 }
1822 
1823 
1824 bool
1826 {
1827  if (v < 0)
1828  return false;
1829  CONVERT_LONG(v);
1830  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1831  vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd) != 0)
1832  return false;
1833  return true;
1834 }
1835 
1836 
1837 bool
1839 {
1840  if (u < 0)
1841  return false;
1842  CONVERT_LONG(u);
1844  v.sgn, v.nbits, v.ndigits, v.digit) != 0)
1845  return false;
1846  return true;
1847 }
1848 
1849 
1850 bool
1851 operator == (const sc_unsigned &u, unsigned long v)
1852 {
1853  CONVERT_LONG(v);
1854  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1855  vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd) != 0)
1856  return false;
1857  return true;
1858 }
1859 
1860 
1861 bool
1862 operator == (unsigned long u, const sc_unsigned &v)
1863 {
1864  CONVERT_LONG(u);
1866  v.sgn, v.nbits, v.ndigits, v.digit) != 0)
1867  return false;
1868  return true;
1869 }
1870 
1871 
1872 // ----------------------------------------------------------------------------
1873 // SECTION: NOT_EQUAL operator: !=
1874 // ----------------------------------------------------------------------------
1875 
1876 bool
1878 {
1879  return (!operator == (u, v));
1880 }
1881 
1882 
1883 bool
1885 {
1886  return (!operator == (u, v));
1887 }
1888 
1889 // The rest of the operators in this section are included from sc_nbcommon.cpp.
1890 
1891 
1892 // ----------------------------------------------------------------------------
1893 // SECTION: LESS THAN operator: <
1894 // ----------------------------------------------------------------------------
1895 
1896 bool
1898 {
1899  if (&u == &v)
1900  return false;
1901  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1902  v.sgn, v.nbits, v.ndigits, v.digit) < 0) {
1903  return true;
1904  }
1905  return false;
1906 }
1907 
1908 
1909 bool
1911 {
1912  if (v.sgn == SC_NEG)
1913  return false;
1914  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1915  v.sgn, v.nbits, v.ndigits, v.digit, 0, 1) < 0) {
1916  return true;
1917  }
1918  return false;
1919 }
1920 
1921 
1922 bool
1924 {
1925  if (u.sgn == SC_NEG)
1926  return true;
1927  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1928  v.sgn, v.nbits, v.ndigits, v.digit, 1, 0) < 0) {
1929  return true;
1930  }
1931  return false;
1932 }
1933 
1934 
1935 bool
1937 {
1938  if (v < 0)
1939  return false;
1940  CONVERT_INT64(v);
1941  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1942  vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd) < 0) {
1943  return true;
1944  }
1945  return false;
1946 }
1947 
1948 
1949 bool
1951 {
1952  if (u < 0)
1953  return true;
1954  CONVERT_INT64(u);
1956  v.sgn, v.nbits, v.ndigits, v.digit) < 0) {
1957  return true;
1958  }
1959  return false;
1960 }
1961 
1962 
1963 bool
1965 {
1966  CONVERT_INT64(v);
1967  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1968  vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd) < 0) {
1969  return true;
1970  }
1971  return false;
1972 }
1973 
1974 
1975 bool
1977 {
1978  CONVERT_INT64(u);
1980  v.sgn, v.nbits, v.ndigits, v.digit) < 0){
1981  return true;
1982  }
1983  return false;
1984 }
1985 
1986 
1987 bool
1989 {
1990  if (v < 0)
1991  return false;
1992  CONVERT_LONG(v);
1993  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
1994  vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd) < 0) {
1995  return true;
1996  }
1997  return false;
1998 }
1999 
2000 
2001 bool
2003 {
2004  if (u < 0)
2005  return true;
2006  CONVERT_LONG(u);
2008  v.sgn, v.nbits, v.ndigits, v.digit) < 0) {
2009  return true;
2010  }
2011  return false;
2012 }
2013 
2014 
2015 bool
2016 operator < (const sc_unsigned &u, unsigned long v)
2017 {
2018  CONVERT_LONG(v);
2019  if (compare_unsigned(u.sgn, u.nbits, u.ndigits, u.digit,
2020  vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd) < 0) {
2021  return true;
2022  }
2023  return false;
2024 }
2025 
2026 
2027 bool
2028 operator < (unsigned long u, const sc_unsigned &v)
2029 {
2030  CONVERT_LONG(u);
2032  v.sgn, v.nbits, v.ndigits, v.digit) < 0) {
2033  return true;
2034  }
2035  return false;
2036 }
2037 
2038 
2039 // ----------------------------------------------------------------------------
2040 // SECTION: LESS THAN or EQUAL operator: <=
2041 // ----------------------------------------------------------------------------
2042 
2043 bool
2045 {
2046  return (operator < (u, v) || operator == (u, v));
2047 }
2048 
2049 
2050 bool
2052 {
2053  return (operator < (u, v) || operator == (u, v));
2054 }
2055 
2056 // The rest of the operators in this section are included from sc_nbcommon.cpp.
2057 
2058 
2059 // ----------------------------------------------------------------------------
2060 // SECTION: GREATER THAN operator: >
2061 // ----------------------------------------------------------------------------
2062 
2063 bool
2065 {
2066  return (!(operator <= (u, v)));
2067 }
2068 
2069 
2070 bool
2072 {
2073  return (!(operator <= (u, v)));
2074 }
2075 
2076 // The rest of the operators in this section are included from sc_nbcommon.cpp.
2077 
2078 
2079 // ----------------------------------------------------------------------------
2080 // SECTION: GREATER THAN or EQUAL operator: >=
2081 // ----------------------------------------------------------------------------
2082 
2083 bool
2085 {
2086  return (!(operator < (u, v)));
2087 }
2088 
2089 
2090 bool
2092 {
2093  return (!(operator < (u, v)));
2094 }
2095 
2096 // The rest of the operators in this section are included from sc_nbcommon.cpp.
2097 
2098 
2099 // ----------------------------------------------------------------------------
2100 // SECTION: Friends
2101 // ----------------------------------------------------------------------------
2102 
2103 // Compare u and v as unsigned and return r
2104 // r = 0 if u == v
2105 // r < 0 if u < v
2106 // r > 0 if u > v
2107 
2108 int
2109 compare_unsigned(small_type us, int unb, int und, const sc_digit *ud,
2110  small_type vs, int vnb, int vnd, const sc_digit *vd,
2111  small_type if_u_signed, small_type if_v_signed)
2112 {
2113  if (us == vs) {
2114  if (us == SC_ZERO) {
2115  return 0;
2116  } else {
2117  int cmp_res = vec_skip_and_cmp(und, ud, vnd, vd);
2118  if (us == SC_POS)
2119  return cmp_res;
2120  else
2121  return -cmp_res;
2122  }
2123  } else {
2124  if (us == SC_ZERO)
2125  return -vs;
2126  if (vs == SC_ZERO)
2127  return us;
2128 
2129  int cmp_res;
2130  int nd = (us == SC_NEG ? und : vnd);
2131 
2132 #ifdef SC_MAX_NBITS
2133  sc_digit d[MAX_NDIGITS];
2134 #else
2135  sc_digit *d = new sc_digit[nd];
2136 #endif
2137 
2138  if (us == SC_NEG) {
2139  vec_copy(nd, d, ud);
2140  vec_complement(nd, d);
2141  trim(if_u_signed, unb, nd, d);
2142  cmp_res = vec_skip_and_cmp(nd, d, vnd, vd);
2143  } else {
2144  vec_copy(nd, d, vd);
2145  vec_complement(nd, d);
2146  trim(if_v_signed, vnb, nd, d);
2147  cmp_res = vec_skip_and_cmp(und, ud, nd, d);
2148  }
2149 
2150 #ifndef SC_MAX_NBITS
2151  delete [] d;
2152 #endif
2153 
2154  return cmp_res;
2155  }
2156 }
2157 
2158 
2159 // ----------------------------------------------------------------------------
2160 // SECTION: Public members - Other utils.
2161 // ----------------------------------------------------------------------------
2162 
2163 bool
2164 sc_unsigned::iszero() const
2165 {
2166  if (sgn == SC_ZERO) {
2167  return true;
2168  } else if (sgn == SC_NEG) {
2169  // A negative unsigned number can be zero, e.g., -16 in 4 bits, so
2170  // check that.
2171 
2172 #ifdef SC_MAX_NBITS
2173  sc_digit d[MAX_NDIGITS];
2174 #else
2175  sc_digit *d = new sc_digit[ndigits];
2176 #endif
2177 
2178  vec_copy(ndigits, d, digit);
2179  vec_complement(ndigits, d);
2180  trim_unsigned(nbits, ndigits, d);
2181 
2182  bool res = check_for_zero(ndigits, d);
2183 
2184 #ifndef SC_MAX_NBITS
2185  delete [] d;
2186 #endif
2187 
2188  return res;
2189  } else {
2190  return false;
2191  }
2192 }
2193 
2194 // The rest of the utils in this section are included from sc_nbcommon.cpp.
2195 
2196 
2197 // ----------------------------------------------------------------------------
2198 // SECTION: Private members.
2199 // ----------------------------------------------------------------------------
2200 
2201 // The private members in this section are included from
2202 // sc_nbcommon.cpp.
2203 
2204 #define CLASS_TYPE sc_unsigned
2205 #define CLASS_TYPE_STR "sc_unsigned"
2206 
2207 #define ADD_HELPER add_unsigned_friend
2208 #define SUB_HELPER sub_unsigned_friend
2209 #define MUL_HELPER mul_unsigned_friend
2210 #define DIV_HELPER div_unsigned_friend
2211 #define MOD_HELPER mod_unsigned_friend
2212 #define AND_HELPER and_unsigned_friend
2213 #define OR_HELPER or_unsigned_friend
2214 #define XOR_HELPER xor_unsigned_friend
2215 
2216 #include "sc_nbfriends.inc"
2217 
2218 #undef SC_SIGNED
2219 #define SC_UNSIGNED
2220 #define IF_SC_SIGNED 0 // 0 = sc_unsigned
2221 #define CLASS_TYPE_SUBREF sc_unsigned_subref_r
2222 #define OTHER_CLASS_TYPE sc_signed
2223 #define OTHER_CLASS_TYPE_SUBREF sc_signed_subref_r
2224 
2225 #define MUL_ON_HELPER mul_on_help_unsigned
2226 #define DIV_ON_HELPER div_on_help_unsigned
2227 #define MOD_ON_HELPER mod_on_help_unsigned
2228 
2229 #include "sc_nbcommon.inc"
2230 
2231 #undef MOD_ON_HELPER
2232 #undef DIV_ON_HELPER
2233 #undef MUL_ON_HELPER
2234 
2235 #undef OTHER_CLASS_TYPE_SUBREF
2236 #undef OTHER_CLASS_TYPE
2237 #undef CLASS_TYPE_SUBREF
2238 #undef IF_SC_SIGNED
2239 #undef SC_UNSIGNED
2240 
2241 #undef XOR_HELPER
2242 #undef OR_HELPER
2243 #undef AND_HELPER
2244 #undef MOD_HELPER
2245 #undef DIV_HELPER
2246 #undef MUL_HELPER
2247 #undef SUB_HELPER
2248 #undef ADD_HELPER
2249 
2250 #undef CLASS_TYPE
2251 #undef CLASS_TYPE_STR
2252 
2253 #include "sc_unsigned_bitref.inc"
2254 #include "sc_unsigned_subref.inc"
2255 
2256 #undef CONVERT_LONG
2257 #undef CONVERT_LONG_2
2258 #undef CONVERT_INT64
2259 #undef CONVERT_INT64_2
2260 
2261 } // namespace sc_dt
BITS_PER_ULONG
#define BITS_PER_ULONG
Definition: sc_nbdefs.hh:221
length
uint8_t length
Definition: inet.hh:422
messages.hh
sc_dt::operator+
sc_unsigned operator+(const sc_unsigned &u)
Definition: sc_unsigned.cc:1725
sc_dt::operator|=
X & operator|=(sc_proxy< X > &px, const sc_proxy< Y > &py)
Definition: sc_lv_base.hh:450
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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
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sc_unsigned operator&(unsigned long u, const sc_unsigned &v)
Definition: sc_unsigned.cc:1466
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void vec_zero(int from, int ulen, sc_digit *u)
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Definition: test.h:38
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int64 int_type
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sc_dt::sc_digit
unsigned int sc_digit
Definition: sc_nbdefs.hh:197
MipsISA::vs
Bitfield< 9, 5 > vs
Definition: pra_constants.hh:146
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sc_dt::check_for_zero
small_type check_for_zero(small_type s, int ulen, const sc_digit *u)
Definition: sc_nbutils.hh:571
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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*
sc_unsigned operator*(unsigned long u, const sc_unsigned &v)
Definition: sc_unsigned.cc:1183
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Definition: sc_bv_base.hh:105
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Definition: sc_int_base.hh:494
DIGITS_PER_ULONG
#define DIGITS_PER_ULONG
Definition: sc_nbdefs.hh:230
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const char SC_ID_CONVERSION_FAILED_[]
Definition: messages.cc:37
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sc_unsigned mul_unsigned_friend(small_type s, int unb, int und, const sc_digit *ud, int vnb, int vnd, const sc_digit *vd)
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Definition: sc_unsigned.cc:974
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Bitfield< 1 > aa
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X & operator&=(sc_proxy< X > &px, const sc_proxy< Y > &py)
Definition: sc_lv_base.hh:359
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#define CONVERT_LONG_2(u)
Definition: sc_unsigned.cc:961
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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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@ SC_ON
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int length() const
Definition: sc_unsigned.hh:1126
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Definition: sc_unsigned.cc:2051
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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_unsigned.cc:1658
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Definition: sc_unsigned.cc:1382
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Definition: sc_unsigned.cc:1689
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Definition: sc_nbdefs.hh:222
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bool operator>(const sc_signed &u, const sc_unsigned &v)
Definition: sc_unsigned.cc:2071
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#define DIGITS_PER_UINT64
Definition: sc_nbdefs.hh:231
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bool operator!=(const sc_signed &u, const sc_unsigned &v)
Definition: sc_unsigned.cc:1884
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Definition: sc_nbutils.hh:732
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bool operator<(unsigned long u, const sc_unsigned &v)
Definition: sc_unsigned.cc:2028
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void trim(small_type added, int nb, int nd, sc_digit *d)
Definition: sc_nbutils.hh:620
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Bitfield< 8 > a
Definition: miscregs_types.hh:62
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Definition: sc_report_handler.hh:127
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uint64_t uint64
Definition: sc_nbdefs.hh:206
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Bitfield< 9 > d
Definition: miscregs_types.hh:60
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#define DIGIT_RADIX
Definition: sc_nbdefs.hh:162
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r
Definition: pra_constants.hh:95
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sc_unsigned div_unsigned_friend(small_type s, int unb, int und, const sc_digit *ud, int vnb, int vnd, const sc_digit *vd)
SC_ZERO
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Definition: sc_nbdefs.hh:134
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@ SC_TRN
Definition: sc_fxdefs.hh:98
sc_uint_base.hh
sc_dt::SC_WRAP
@ SC_WRAP
Definition: sc_fxdefs.hh:122
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sc_unsigned xor_unsigned_friend(small_type us, int unb, int und, const sc_digit *ud, small_type vs, int vnb, int vnd, const sc_digit *vd)
scfx_other_defs.hh
sc_dt::small_type
int small_type
Definition: sc_nbdefs.hh:142
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sc_unsigned add_unsigned_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.cc:979
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#define SC_NEG
Definition: sc_nbdefs.hh:133
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int64_t int64
Definition: sc_nbdefs.hh:205
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Definition: sc_ufix.hh:100
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bool operator>=(const sc_signed &u, const sc_unsigned &v)
Definition: sc_unsigned.cc:2091
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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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int compare_unsigned(small_type us, int unb, int und, const sc_digit *ud, small_type vs, int vnb, int vnd, const sc_digit *vd, small_type if_u_signed, small_type if_v_signed)
Definition: sc_unsigned.cc:2109
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Definition: sc_unsigned.cc:956
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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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sc_unsigned mod_unsigned_friend(small_type us, int unb, int und, const sc_digit *ud, int vnb, int vnd, const sc_digit *vd)
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Definition: sc_nbdefs.hh:115
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Bitfield< 22 > u
Definition: miscregs_types.hh:348
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Definition: sc_lv_base.hh:118
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sc_unsigned operator|(unsigned long u, const sc_unsigned &v)
Definition: sc_unsigned.cc:1561
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sc_unsigned and_unsigned_friend(small_type us, int unb, int und, const sc_digit *ud, small_type vs, int vnb, int vnd, const sc_digit *vd)
sc_unsigned.hh
sc_ufix.hh
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void from_uint(int ulen, sc_digit *u, Type v)
Definition: sc_nbutils.hh:470
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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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Bitfield< 18, 16 > len
Definition: miscregs_types.hh:439
sc_dt::sc_unsigned
Definition: sc_unsigned.hh:890
sc_dt::or_unsigned_friend
sc_unsigned or_unsigned_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.cc:178
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void vec_copy(int n, sc_digit *u, const sc_digit *v)
Definition: sc_nbutils.hh:419
sc_core::SC_ID_OUT_OF_BOUNDS_
const char SC_ID_OUT_OF_BOUNDS_[]
Definition: messages.cc:40
sc_concatref.hh
sc_dt::operator==
bool operator==(unsigned long u, const sc_unsigned &v)
Definition: sc_unsigned.cc:1862
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void is_bad_double(double v)
Definition: sc_nbutils.hh:855
sc_dt::div_by_zero
void div_by_zero(Type s)
Definition: sc_nbutils.hh:554
ArmISA::s
Bitfield< 4 > s
Definition: miscregs_types.hh:556
sc_lv_base.hh
MipsISA::l
Bitfield< 5 > l
Definition: pra_constants.hh:320
sc_dt::vec_complement
void vec_complement(int ulen, sc_digit *u)
Definition: sc_nbutils.hh:445
BITS_PER_DIGIT
#define BITS_PER_DIGIT
Definition: sc_nbdefs.hh:161
SC_POS
#define SC_POS
Definition: sc_nbdefs.hh:135
DIGIT_MASK
#define DIGIT_MASK
Definition: sc_nbdefs.hh:163
ArmISA::v
Bitfield< 28 > v
Definition: miscregs_types.hh:51
ArmISA::mask
Bitfield< 28, 24 > mask
Definition: miscregs_types.hh:711
sc_dt::operator/
sc_unsigned operator/(unsigned long u, const sc_unsigned &v)
Definition: sc_unsigned.cc:1285

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